diff --git "a/data/dm_maths/full_data_2/1161_11255.jsonl" "b/data/dm_maths/full_data_2/1161_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1161_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (((r*r**(3\/7))\/r)\/r)**38\/(((r\/r**(-2\/29))\/r)\/r**(-6)) assuming r is positive.\nAnswer: r**(-5640\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 0, 1525 in increasing order.\nAnswer: -16, -3, 0, 1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*g - 3 - 4532*g**2 + 1480*g**2 - 1.\nAnswer: -3052*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) -0.245 (c) 775\/6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 8) to base 12.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from chcchhhhhchhch?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 12\/7, -4 in descending order.\nAnswer: 12\/7, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n - 800 - 22 = 335 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.5. Let r = 31 - 43. Let q = 11.9 + r. Which is the third smallest value? (a) -4 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242266, -1938176, -6541374, -15505504, -30284210?\nAnswer: -52331136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 + 3517437*c**2\/4 - 7034826*c.\nAnswer: -3*c*(c - 1172471)*(c - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 + -6.3. Let l = 12.6 + -19.3. Let z = k - l. Which is the nearest to -0.2? (a) 2\/17 (b) z (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009633518 to five dps.\nAnswer: -0.00963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**8\/112 - 3*w**7\/35 - w**6\/40 + 3*w**5\/10 + 6*w**2 - 35*w. Factor l(n).\nAnswer: 3*n**2*(n - 6)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 2 - -12) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286165033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11128*i**5 - 9031*i**2 wrt i.\nAnswer: 667680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -c + 5*g, -g - 55 + 57 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -23*t - 4. Let j(a) = -2*a**3 - a**2 - 3*a - 4. What are the prime factors of j(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 3*v + 8. Let p be i(2). Let y be 44\/(-66) - (2 - p\/7). Let u = -23 + 20. Which is the third biggest value? (a) 9 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*m - 2\/7*m**2.\nAnswer: -2*m*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110\/631 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -43 + 0 + 0 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.570092 days to seconds.\nAnswer: 654055.9488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15) + (172\/5 - 25) + (-501)\/54?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-26)\/(-24)) + (77221\/(-2604))\/47?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*k = 170, 2*y + 2*k = 3*y - 191. Suppose 6*s - s - y = 0. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-15) + 2\/6. Let a(f) = -f - 8. Let d be a(-11). Let v = d + -11\/3. What is the closest to v in -3\/4, w, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**2 - 17*w**2 + 3*w**2 - 13 + (w - w + w)*(0*w + w + w).\nAnswer: -2*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/261730 and -187\/448680.\nAnswer: 3140760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941278 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 114775 (base 10) to base 15\nAnswer: 2401a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*m - 2*m + 33 = 2*m, 5*m + 205 = 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -518, -496, -476, -458?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 108*k**2 - 2*k - 1. Let x be a(-1). Suppose 25 + 117 = -2*j. Let d = x + j. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*o - 8049, 5*r - 8497 = -o + 1528. List the prime factors of r.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*k - 3, -18 = -3*u + 11*k - 10*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 take away -5.69?\nAnswer: -122.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424561?\nAnswer: 127, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -2 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -4*o**3\/3 - 201*o**2\/2 - 45*o - 110. Let y be a(-50). Solve 11*f + 30 = y*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/32*586\/(-53326).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - (121 - 20) - (12 + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23*-54\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - 5 - -2) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53250?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17049, -33657, -50279, -66921, -83589, -100289, -117027?\nAnswer: -133809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(3*(-3*sqrt(405)*2 + (sqrt(405)*-1 - sqrt(405)) + -3)*4)**2.\nAnswer: -37337760 - 622080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**6\/120 + 7*l**5\/60 - 5*l**4\/12 - 17*l**3\/6 - 177*l**2\/2 + 73. Let t(z) be the second derivative of a(z). Determine t(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -69. Let b = 448\/2101 + -6\/191. What is the closest to 2\/3 in b, -1, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 41. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2532469, -2532453, -2532419, -2532361, -2532273, -2532149, -2531983, -2531769?\nAnswer: -2531501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -46*d. Let p(c) = -3*c. Give t(p(b)).\nAnswer: 138*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 + 57080*u - 57079*u + 2 - 7 + 15*u**3 to j*u**2 + f*u + k*u**3 + r and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 - -120. Let n be 0\/q - (-1 - 864594\/6). What is n rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26 + 25)\/(3\/(-54)). Solve j - 20 = -v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7030821 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2733, 10989, 24749, 44013?\n\"Answer: 2752*k**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*z - 167*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 308740 divided by 1795\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**4\/4 + 2*s**3\/3 + 4. Let c(o) = o + 3. Let f be c(-7). Let w be (f\/5)\/(2\/(-5)). Calculate h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l*l*l\/(l\/l**(-1\/4)))\/(l*l**5*l\/(l*l\/(l*l*l**8\/l)))*((l**(-1\/4))**(-6\/7))**(2\/69) assuming l is positive.\nAnswer: l**(-4021\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 + 0. Solve -c = -x - 134 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -803b (base 14) to base 12\nAnswer: -10899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((-1 + sqrt(1573))*-3 - sqrt(1573) - (sqrt(1573) + 1)*1) + 4)*2)**2 + -1.\nAnswer: -95040*sqrt(13) + 5667983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4522979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*b - 3 = 0, 1 = -q - 2*b + 2. Suppose 26 = 3*c + 4*x, q*c - 8 = -x + 7. Suppose -21337103 = -c*a - 8137103. Round a to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/210 - 3*w**6\/20 - 83*w**5\/60 - 9*w**4\/2 - 22*w**3\/3 - 307*w**2. Factor q(z).\nAnswer: (z - 22)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (108\/8)\/((-3)\/(-40)). Let i be 17 - 0 - (1 - 5). Suppose -3*z = -i - j. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 11 - 5. Suppose 0 = -g*u + o + 82781 - 31329, -4*u + 51452 = -3*o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.416, -11, 3\/26, -2, 3, -1?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*h - 81. Let p = 127 - 129. Put 5, p, h, -1 in ascending order.\nAnswer: p, -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = 3*z. Let v = z + 11. Let n = v + -5. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574\/7*21\/6 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14704, -58870, -132494, -235588, -368164, -530234, -721810, -942904?\nAnswer: -1193528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 22 = 3*z, 24 + 4 = -5*v + 4*z. Let i = 4 + v. Suppose 0 = -i*o - 3*o - j + 29, -31 = -2*o - 3*j. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 2*p**2 + 0*p**2 - 4*p. Let t(i) = -2*i**2 - 2*i + 1. Let x = 53 - 56. Suppose -u - 3 = -3*m, 5*m + u - 2 = 11. What is m*v(h) + x*t(h)?\nAnswer: 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.47 - 31.73. Let j = o - -35. Put j, -3\/7, -0.4, 3 in descending order.\nAnswer: 3, j, -0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*c*i - 7*a**2*c + a**2*z + 24*a*c*z + 5*a*i + 8*i*z with respect to z.\nAnswer: a**2 + 24*a*c + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3\/3 + l**2\/2 + l - 4. Let s(a) = 3*a**2 + 3*a + 7. Suppose 235 = -132*o + 895. Determine o*i(u) - s(u).\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 25*s + 129. Let a be g(-18). Solve -2*b = -3*m + 19, -3*m + 0*b + 9 = a*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306708411 > 306708414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 1. Let n be f(-6). Calculate the remainder when 37 is divided by (-6)\/(-5 - -2) + n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/h**(-1))\/(h\/(h\/(h**(2\/5)*h))*h*h**(-1\/4)*h))\/((h**(1\/2)*h)\/(h**(2\/25)*h)*h**(-1\/3)\/(h\/(h\/h**4))) assuming h is positive.\nAnswer: h**(-971\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from ttcttctttyy.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -271*u**5\/10 - 617*u**2 - 42*u. What is the derivative of c(t) wrt t?\nAnswer: -1626*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*28*(-12)\/(-96).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -3)*3*-3. Suppose 5*a = 4 + 1. Let m be a\/(((-15)\/27)\/(-5)). Calculate the highest common factor of m and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45924 divided by -1068?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + -23?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4417131+-5334.5\nAnswer: 4411796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p - 4*q + 1284, -3*q = 3*p - 1281. Let h = -15 + p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4876000 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187531562*m**2*v**3 - 7*m**2*v + 2*m*v**2 + 3*m*v + 7261*m - 9*v**2 wrt v.\nAnswer: -1125189372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768871.6 millilitres to litres.\nAnswer: 768.8716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4\/5, -2\/9, -1.22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*14\/(-4))\/((-5418)\/(-27090))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9548 + -9542. Let c(s) = -2*s**3 + 13*s**2 - 26. Calculate c(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -295\/238?\nAnswer: -295\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - ((26 - -22) + 52).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1657040, -3314080, -4971120?\nAnswer: -6628160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 6357201397700?\nAnswer: -6357201397698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253110 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 161136377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-28))\/((38\/57)\/((-6)\/27)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7.7, 1626, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 29*l - 28*l - 19, -2*g + 2 = -2*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + -1) - (1 + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/5 - 4*k**4\/5 + 36*k**3\/5 - 64*k**2\/5 + 46*k\/5 - 12\/5.\nAnswer: -2*(k - 1)**4*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3091543677706050*f**2 - 629060880*f + 32.\nAnswer: 2*(39316305*f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53813097*m**6 + 5*m**2 - 52622*m wrt m?\nAnswer: 6457571640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 37 = -5*l, -i + 4*l + 37 = 4*i. Suppose 20*w - i*w = 1441. List the prime factors of w.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (418\/19)\/(1\/2). Suppose 6*z + 5*z - p = 0. Let h(v) = v + 12. Let k be h(-6). Solve -k*m = -4*m + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*o = o + 8, 12 = p + 3*o. Suppose -7*y + 3*y + 116 = p. Calculate the least common multiple of y and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009351358738 to 7 decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, -1, 0.1, 1\/9, 5, 2, 0.9 in decreasing order.\nAnswer: 5, 2, 0.9, 1\/9, 0.1, -1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227 - -220. Let u be 6\/2 - z\/((-98)\/48). Let w = 15 - 76\/5. Put w, 26, u in decreasing order.\nAnswer: 26, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18211\/51 + -1070\/3. Let n = i - 69\/85. Put -1\/3, n, -0.5 in decreasing order.\nAnswer: -1\/3, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + j**4 - j**4)*((-2*j + 1 - 1)*(0 - 2 - 1) + 2*j - 3*j + 0*j).\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 380284757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337325761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 1380.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(30)\/(-2*sqrt(6)) - (-1 + sqrt(405) - sqrt(405) - sqrt(405)) - ((2*sqrt(40))\/sqrt(8) - (1 + sqrt(5) + -1)**2)).\nAnswer: 7 + 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 + -0.001?\nAnswer: 2.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbhbqnqqwffh. Give prob of sequence bq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/40 - 3*z**5\/20 + z**4\/2 - 15*z**2. Factor w(u).\nAnswer: -3*u*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/n)\/n*n)\/n*n*n\/(n**(-2)*n)*(n**(2\/3)\/n)**(-35) assuming n is positive.\nAnswer: n**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(320)) + 1 + -2*sqrt(320).\nAnswer: -56*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2337690 and 53490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -17. Let f = -12 + t. Let j = 1 - 1.1. Which is the second smallest value? (a) f (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5))\/b)**34 assuming b is positive.\nAnswer: b**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91633054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtof when four letters picked without replacement from tfdotdoxxxtotffodox.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1.7, 5, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 6*u + 7. Let w be v(-5). Suppose 2*y = -k - 2*y + 215, -w*k + 420 = 3*y. What are the prime factors of ((-3)\/(-9))\/(3\/k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and (-4)\/(-10) - 1 - 465\/(-25).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/4, -5, -3\/16 in descending order.\nAnswer: 5, -3\/16, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79064.43 millennia to months.\nAnswer: 948773160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.525 - 0.175. Let j = u - -76. What is the third smallest value in -5, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 196*o**2 - 18*o - 24. Let j(y) = 392*y**2 - 35*y - 40. Let v(m) = 6*j(m) - 10*r(m). Find the second derivative of v(a) wrt a.\nAnswer: 784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -23*h**7\/7 + h**6\/6 + 71*h**3\/3 + 42. Find the third derivative of t(g) wrt g.\nAnswer: -2760*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2 = -4*q - q, -5*n = 2*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 487, -5.\nAnswer: -5, 3\/2, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 16*q**2 - 1 - 16*q**2)*(-1 + 1 - 1) + (-2 + 2 + q)*(0*q + 3*q - 5*q) - 1 + 1 + q**2.\nAnswer: 28*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -21. Suppose 0 = y*c - 8*c - 28. Is c at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 815 = -20*v + 751. Put 2, v, 1, 4, -2 in decreasing order.\nAnswer: v, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12559456 divided by -416.\nAnswer: 30191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 322\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 29953 = 3077. What are the prime factors of y?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1560613 - 2?\nAnswer: -1560615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1148*x**2 - 76*x.\nAnswer: 4*x*(287*x - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316149 is divided by 4716.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -209908 divided by -6?\nAnswer: 104954\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1100429748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 1 + 4*c - 3*c**2 + 4*c**2)*(c - c - c) in the form p*c + h*c**2 + m + b*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -96. Solve i = -2*k - 9 + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose y = -0*z + 2*z + 20. Let x(r) = r + 8. Let m be x(z). Is m smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, -456, 1 in descending order.\nAnswer: 335, 1, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 486*m**3 - 172*m**2?\nAnswer: 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873749*35.\nAnswer: 30581215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Let s(w) = -w**2 - w + 34. Let o be s(h). Suppose o*u + n = 437, 4*u + 4*n = 157 + 271. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -417?\nAnswer: -41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 455*x + 2. Let b(o) = 36462*o - 28*o**2 - 36462*o + 23*o**2. Give q(b(j)).\nAnswer: -2275*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/120)\/(126\/(-9744)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 + 231. List the prime factors of 1005\/s*(-8)\/(-4).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:54 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/102 + 4\/17. Let r = 0.03 + 0. Let m = r - 0.03. Is a at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i - 1 + 14*i**3 + 26*i - 8*i**4 + 4*i**4 + 6*i**4 - 5*i**4 to l*i**2 + g + k*i**3 + d*i**4 + h*i and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4*u**3 - 3*j**4*u + 3*j**3*m*u**2 + 2*j**2*m*u - j**2*u**3 + 88*u**3 wrt j?\nAnswer: 48*j*u**3 - 72*j*u + 18*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)\/(s\/(s*s\/s**(-2))*s)*s**5*s\/(s**(-6)\/s) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 114382.21\nAnswer: 22876.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -27, -35, -43?\n\"Answer: -8*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t + 41*t + 5*g - 15 = 0, 2*t = g + 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvpvgvrg. Give prob of picking 1 v, 1 r, and 1 p.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 959 = -5*f, f - 4899 = -5*s. Suppose -16*p + s + 2333 = 0. Calculate the highest common factor of 46 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5354 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -278 + 238. Let g(b) = 2*b**2 + 3*b. Let p(h) = -6*h**2 - 10*h. Calculate r*p(o) - 11*g(o).\nAnswer: 2*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10063, 4, -18, -2, -4 in ascending order.\nAnswer: -18, -4, -2, 4, 10063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 6. Let m be d(-4). Let c = 11 - m. Find the third derivative of 5*k**4 - c*k**2 + k**2 - k**4 wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 35, -30, -3, -4, 158, 4 in descending order.\nAnswer: 158, 35, 4, 2, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925.3538 micrometers to kilometers.\nAnswer: 0.0000009253538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, x: 1, v: 5, d: 1}. What is prob of sequence xvd?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13 + (6 - 3))*(-121)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1626 divided by 100376.\nAnswer: 813\/50188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-12)\/t))\/(t\/(t*t\/t**(-6))))**13)**(-1\/11) assuming t is positive.\nAnswer: t**(-273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 23 + j + 30 as p*j + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -7*u**2 + 12*u - 17. What is the units digit of i(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**7\/280 + v**6\/120 + v**5\/20 + v**3\/2 - 7*v. Let c(a) be the second derivative of b(a). Factor c(t).\nAnswer: -3*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -1a?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158431919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6825, 6866, 6945, 7068, 7241, 7470, 7761?\n\"Answer: j**3 + 13*j**2 - 5*j + 6816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a, -p + a + 14 = -15. Suppose -17*z = -20*z + p. Calculate the greatest common divisor of z and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 730, -18, 3 in increasing order.\nAnswer: -18, -2, 2, 3, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o - 8. What is b(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 5. Let g be s(2). Let n = -8\/3 - g. Factor b**3 + 1\/3*b + 0 - n*b**4 - b**2.\nAnswer: -b*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6182692 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -11232\nAnswer: -22464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2550 (base 6) to base 16.\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 31 = -6*w. Let z be (12\/30)\/(w\/3). Sort z, 1.8, -4 in increasing order.\nAnswer: -4, z, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14*h*h**(-1\/9)*h*h)\/(h**(-2\/11)*h\/h**(-12)) assuming h is positive.\nAnswer: h**(403\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 5*t + 124. Give x(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - (-5420)\/(-180))*-9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38358 = 94*o - 15222. Calculate the least common multiple of o and 20.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 492?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-6))\/(10*((-50)\/(-5))\/60).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51482608*y**2 + 78*y + 22281 wrt y.\nAnswer: 102965216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/2 - 19*l**3\/2 - 37*l**2 + 38*l + 156 = 0. What is l?\nAnswer: -13, -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from {i: 5, g: 3, t: 3, r: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*m**3 - 3*m + 2*m + 2*m**2 + 4 + 106*m**3 - 55*m**3 in the form q*m**3 + d*m**2 + b + i*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 0. Suppose 0 = -j - 2, -5*k + 4*j + 5 + 3 = q. Which is the third smallest value? (a) -0.05 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/237 + 19307\/3318. Calculate the common denominator of -7\/16 and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135914 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91398 is divided by 4570?\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79023 is divided by 1411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3757\/1326*(-9)\/(-255)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -20015\/4 smaller than -5005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 4\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + (-32 - -27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -89?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 - 5. Let i = 15 - 6. Suppose 6 = 5*p + 2*v, -3*p + 3*v = -p + i. Give d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x - 12970 + 9332 = 77*x for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -d - 15, 13*d + 129 = 2*d + 5*q + 214 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379690880?\nAnswer: 2, 5, 7, 75883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*y**3 - 34*m**2*y + m*y**3 - 357*y**3 + y**2 wrt y?\nAnswer: -6*m**2 + 6*m - 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 - 7*u + 11. Let t(k) = -3*k**2 + 4*k - 6. Suppose -20*f - 176 = -76 + 120. Give f*t(q) - 6*s(q).\nAnswer: -9*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26529 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1\/7, 4\/7, -8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -28. Let j = -151 - -178. Calculate the least common multiple of 16\/4 + 24 - -2*o and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - -16) + (-6 + 11 - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 r, and 1 l when four letters picked without replacement from rthtmlrmtmt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1172 = -1170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5, l: 7, k: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981294 > 2981296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-20)*h\/(h\/h**(-23))*h)\/(h**(1\/5)*h)**(-2\/33) assuming h is positive.\nAnswer: h**(-2251\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 48*r**3 + r**2 - 2*r + 3. Calculate the remainder when 105 is divided by a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.6. Let l = 12 + -6. Let b = l - 6. What is the closest to b in 1\/9, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 304910 = 5*r, 5*b - 68*r + 66*r + 304896 = 0. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25036353 (base 7) to base 10.\nAnswer: -2244777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h + l, h + 5*l + 2 = -3. Let x(g) = -g**3 + g**2 + 4. Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:10 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 73*i**2 - 150*i - 6. Calculate r(75).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 7002*j - 34935.\nAnswer: -3*(j + 5)*(j + 2329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*d + 169, -3*d + 0*d - 5*w + 131 = 0. Suppose 6*m - 209 = d. Suppose -v - 3*o = -m, 6*v - 3*v = -3*o + 147. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 118.9. Does -14.5 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 = 12*s - 13*s, 5*s + 2*r = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -771 + 7263. List the prime factors of b.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + o - 5 + o - 8*o**2 + 4*o. Let f be l(2). Let k(u) = -u**2 - 35*u + 23. What is the units digit of k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 101897696.\nAnswer: -10189769.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 5, 16, -7, 10.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*z + 2, 2*c - 2*z - 44 = 0. Let g = 179 - 145. Suppose -g = 6*s - 76. Solve 0 = -5*v + s + c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 3946104?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1296508, 2593036, 3889586, 5186170, 6482800, 7779488, 9076246, 10373086?\nAnswer: 11670020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57635079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -872*d + 2. Let q(j) = -9*j + 8. Let g(f) = 57*f - 52. Let n(v) = 2*g(v) + 13*q(v). What is i(n(a))?\nAnswer: 2616*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w - 8. Let h be d(-8). Suppose -38*s - h = -41*s. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80031322.\nAnswer: 2, 7, 181, 31583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 60226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310203*k**5 - 4*k - 7903?\nAnswer: 6204060*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 2*g - 2*g**3 + 268 - 87 - 84 - 88 - 8*g**2. Suppose -4*l - 8 = 3*t + 22, 3*l = 2*t - 31. Does 9 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 177 + 219 = 0. Let f be 2 + 1 + -2 + (-2784)\/29. Let q = m + f. Solve 5*w = -l + 13 - 5, 4*w - q*l - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16\/5, 46, -2\/5, -4, -3 in descending order.\nAnswer: 46, 16\/5, -2\/5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 52*b + 8 - 147*b - 34 + 64*b + 50*b. Calculate g(7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - i**3 - 3*i**4 - 2*i**4 + (2*i**2 + 3*i**2 - 2*i**2)*(-45*i**2 + 29*i**2 + 31*i**2).\nAnswer: 40*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -876*j**2*w**2 - 2*j**2*w + 28*j**2 - 63*j - 11*w**4 + 17 wrt w.\nAnswer: -1752*j**2 - 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28407*k + 28503*k = 3072 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 204?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -253596.961 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.14 + 2.96. Let m = -0.9 - u. Let y = -17.02 - m. What is the third biggest value in y, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24835 + -24834.9999928628. What is u rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 264*g - 260*g - 22*j - 140, -2*g = 3*j - 38 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 2*c - 10*c + 2*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**6\/120 + 11*q**4\/24 + 23*q**3\/6 + 62*q**2 - 194*q. Let b(v) be the first derivative of i(v). Differentiate b(t) wrt t.\nAnswer: -3*t**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -2*j, 3*j - m - 5 = 11. Solve -j*y - 8 - 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - g**2 - 3*g - 7. Let t be y(4). Suppose j = t + 4. Let n = -57 + j. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-910)\/28) + (-29)\/(-35)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjvyv. What is prob of sequence yvj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -6985?\nAnswer: 6998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(8\/9)*t\/((t*t**(-21))\/t)*t*t**(2\/13) assuming t is positive.\nAnswer: t**(8023\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25c - -38?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -13. Suppose 0 = 2*f + f - r. Suppose -2*y - f*w = -y - 25, 0 = -y - 2*w + 29. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.045 - -1.445. What is the third biggest value in v, 2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0234748 * 4.\nAnswer: -4.0938992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13856 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 6*r - 4. Let f be t(4). Let y = 0 + f. Solve y*h = 3*g + 2 + 24, 4*h = -4*g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnqqnbqqqnbu. What is prob of picking 2 b and 1 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/171820 and 127\/139260.\nAnswer: 108762060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 4*x**3 - 10392274 + 10392274 + 2*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3894, -3890, -3884, -3876, -3866, -3854?\nAnswer: -3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2825*g**2 + 212*g.\nAnswer: 5650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.39 + 261.39. Let w = l + -254. What is the smallest value in 2\/71, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144336 by 2328.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/505 and -64\/10023745.\nAnswer: 10023745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*y + 58*y + 3*y**2 - y**2 - 4 to a*y**2 + p*y + v and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/10 (b) -15 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:47 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmrmurrmrrrrmum. Give prob of picking 2 r.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9183 - -11333. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1632 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**5 + 9176*m**3 - m**2 + 37895*m wrt m.\nAnswer: 80*m**3 + 55056*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*w**3 - 196475960*p*w - 2*p + 27343624*w**4 wrt w.\nAnswer: -12*p*w + 328123488*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-159)\/(-33) + 2\/(-11)*-1. Solve 0 + 3\/4*p**4 - 3\/4*p**2 - 3\/4*p**b + 3\/4*p**3 + 0*p = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 = 4*k + 66*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 184?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(102) + -3*sqrt(102)*-4 + sqrt(102) + sqrt(102))\/(sqrt(6) + 6*sqrt(24)\/sqrt(4)).\nAnswer: 2 + 15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 8*i + 2. Let f be r(-7). Let z(j) = -12*j. Let a be z(-2). Let q = f + a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m**3 - 20*m**3 + 23*m**3 - 4*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 625, 2129, 5067, 9919?\nAnswer: 17165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 111369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and 67\/9429426.\nAnswer: 47147130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 115 = -j, -j - 26 - 67 = -4*z. Solve 0*o + o = -f + 8, -o - z = -5*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 + 3*d - 3. Let k be q(6). Let j be k\/(-9)*(-50)\/(-6). Let h = 153 - j. What is the smallest value in -2\/7, -0.1, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1544, 1259, 776, 95, -784?\n\"Answer: -99*q**2 + 12*q + 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Suppose 0 = j*u - v - 248, -u - 4*u - v = -252. Suppose 270*w - 5365 - 535 = -320*w. What is the greatest common factor of w and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v, -v = x - 4 - 3. Suppose 0 = -a - a + x. Solve 0 = l - 6*l - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcaa when four letters picked without replacement from cqlqladr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01235 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.34, -2, 5, -0.7 in ascending order.\nAnswer: -7, -2, -0.7, 0.34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 15. Let p be 2\/4 + (-77)\/(-14). Suppose -p*h = 18 + 24. Let b be v(h). Solve -4*f - b = 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -47 (b) -3\/5 (c) -3 (d) 394\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:31 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {u: 6, l: 3, e: 3, h: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - ((-128)\/24 - -4). Which is greater: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 - -7. Let g = v - 1.8. Which is smaller: 0.8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 36. Let r(t) = -t - 5. Let w be r(a). Determine z, given that 10\/7*z**5 + 26\/7*z + 4\/7 + 76\/7*z**3 + 64\/7*z**2 + 44\/7*z**w = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4353 + -5?\nAnswer: 434b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15177361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by -5?\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + j)*(-538 + 8*j**2 - 28*j**2 + 538) to the form i + u*j**3 + t*j**2 + d*j and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 13*q - 15. Let c be m(-12). Let a be 3\/(-6)*0\/(-1). Suppose -2*k + 0 - 8 = a. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194 + -1731.\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1612086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + -1*sqrt(143) + sqrt(143) + sqrt(143))*-5)\/(sqrt(11) + sqrt(11) + 4*sqrt(44)).\nAnswer: 11*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -61*h + 17. Let p be z(-2). Let n = -70 + p. Let l = -29 + n. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let u(i) = -8*i + 6. Let z(b) = -9*n(b) + u(b). Let j be (5 - 4) + (-33)\/3. What is z(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 8. Suppose -7 = -l + v*m - m, 0 = 3*m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -51602*j**2 + 10*j - 48. Let o be u(16). What is o rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -512?\nAnswer: 35.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1111?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-63)\/(-90))\/((-1029)\/98)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3382.195 microseconds?\nAnswer: 3382195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24150\/67 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(130)\/(-2*sqrt(1000)))**2.\nAnswer: -1987\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15c3bc9 + 3?\nAnswer: 15c3bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 170 + -14?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10474\/9 <= 1165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)*(g\/(g\/g**(-6)))\/g)\/((g*g*g**(3\/5))\/(g\/g**(2\/7)*g)) assuming g is positive.\nAnswer: g**(-696\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -119\/841, 36.9, -3 in descending order.\nAnswer: 36.9, -119\/841, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24*s - 402. Let p be k(-17). Solve p*u = u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9123054 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 12) in base 8?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.310727693 - -4.35?\nAnswer: 4.039272307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 62 (b) -7 (c) 0.5 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(325) + (-1*sqrt(325)*2)**2 + (sqrt(325) - (-3 + sqrt(325) + 0)) + sqrt(325) + sqrt(325) - (sqrt(78)*2*-4)\/((sqrt(84)\/sqrt(2))\/sqrt(7))).\nAnswer: 23*sqrt(13) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/20 - (-79)\/(-4). Calculate the remainder when -2*1 + 3 - -15 is divided by g\/(-6)*9\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3945721673 to the power of 1\/2, to the nearest integer?\nAnswer: 62815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/12)\/((-4)\/(-66)). Suppose -b - 3*b + 20 = 0. Solve -b*u + 9 = -t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -67, -144, -251?\n\"Answer: -15*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*l - 160 = -3*f, 0 = -3*f + l + 140. Let z be 1 + (-234)\/(-4) + 3*(-2)\/(-12). What is the highest common divisor of f and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3 + 24*m**2 + 48*m + 32 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - -259. Let r(z) = -z**2 + 14. Let q be (-3 - -3)*(-1 + 0). Calculate the remainder when v is divided by r(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -736245\nAnswer: 4\/736245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1531 - 1531 - 31*j)*(-2 + 2 - 4) as h + v*j and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 362*i + 71 - 420*i - 84 as s + f*i and give f.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 40*k**2 - 28*k + 65. What are the prime factors of n(10)?\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 44 = -2*p, -p = -2552*m + 2547*m + 38. Let s = 0 - -7. What is the lowest common multiple of p and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -69*p**2 - 63*p - 9. Let n(w) = 35*w**2 + 31*w + 4. Let k(h) = -7*n(h) - 3*t(h). What is the second derivative of k(l) wrt l?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7*d = 7*d. Let y be 1*-3*(d - 8\/12). Solve -2*b + y = 0, b - 3 = 2*t - 4*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 + -22?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/20 - 9*o**2. Let z(m) be the second derivative of 0*m**2 + 5\/4*m**4 - 10*m + 0 + 0*m**3. Give z(p(j)).\nAnswer: 135*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + u**4 + 0*u**4)*(-3 + 12 - 1)*(-1 - 4 + 3)*(-6 + 1 + 4)*(4 - 3 + 1)*(51 - 86 + 49).\nAnswer: -448*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 2, e: 6, v: 1, k: 1}. What is prob of sequence krvr?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40202 + 63998 = 20*w. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let t(p) = 51*p**2 + 12*p + 66. Let i(w) = 6*c(w) - t(w). Differentiate i(x) with respect to x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*n - 21610 + 4250. List the prime factors of n.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.173 * -1\nAnswer: 0.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24\/14 - ((-98)\/14 - (-517)\/77)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 8*n**2 - 746*n - 6027. What is l(-8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 906 and 6838186.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 7*z**2 + 4*z**2 - 4*z**2 - 10*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15691.237 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13989977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1283 times -2.4664\nAnswer: -3164.3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -64 (b) -0.5 (c) -37 (d) -0.4 (e) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5559*n - 433737. Calculate h(-78).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 22291*a + 6814110.\nAnswer: (a + 310)*(a + 21981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(sqrt(91) + sqrt(91)*2) - sqrt(91))*-4)\/(1*sqrt(7)*2 + ((sqrt(70)*-1 + sqrt(70))\/sqrt(10) - sqrt(7))).\nAnswer: 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5465883 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/3, 0.3, -7?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/9 - 10888*b\/3 - 14818568 = 0.\nAnswer: -8166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16994323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251 - 179. Is 8877\/27 + 16\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11b1c76 - -24?\nAnswer: 11b1c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 65. Suppose -15 = -5*d - 5*r, -3*d + p + 1 = -3*r. Let f(m) = m**2 - 4*m - 2. Determine f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 2*o + 187786*o**3 - 193356*o**3 as v + t*o**3 + w*o + n*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265\/408 + 7\/408. Which is the nearest to -0.012? (a) 4 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19301240, -19301238, -19301236, -19301234?\n\"Answer: 2*l - 19301242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 2. Let i be u(-6). Let l = 2.2 + 6.8. Which is the biggest value? (a) -0.4 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 66 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:26 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12760134 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:02 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 61571*b + 923327. Determine q(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6716 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.055 and -32.1883.\nAnswer: 1.7703565","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)*c)\/(c*c**(3\/17)\/c))**(-18) assuming c is positive.\nAnswer: c**(-657\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/126*-9)\/((221\/6)\/17)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 + t**2\/2 + 2. Let l(q) = -q**2 - 7*q + 10. What is the remainder when l(-5) is divided by i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + -64 - ((12 - (2 - -4)) + -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 137c - -35?\nAnswer: 13b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 - -369.4. Let t = y - -48. Sort t, 42, 3.\nAnswer: t, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3781 - 0.1219. Which is the second smallest value? (a) 4 (b) -1\/3 (c) j (d) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2433*0.5\nAnswer: -1216.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180051387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 12*d + 40*d = 3493406. List the prime factors of d.\nAnswer: 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5698517 (base 10) in base 16?\nAnswer: 56f3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 1. Suppose 4*b + 12 - 8 = 0. Calculate the lowest common multiple of 4 and z(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -158. Let y = -67 + a. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + 39*w - 16*w - 38*w**2 - 11*w.\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsqiiqqsqq. Give prob of picking 1 q and 1 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 - 14*m - 6. Let y be b(5). Is (-3 + y - 36)*(-21)\/2 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -169.8451 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*b - 12, 6 + 2 = t - 2*b. Let u = -5 - -5.3. Put -5, u, t in descending order.\nAnswer: u, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*n + 9957 = 0, -5*n = 4*l - 26076 - 13804. List the prime factors of l.\nAnswer: 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 1. Let j be d(-2). Suppose 4*t - 1 = -5*c + 129, 0 = j*t. Is 1*c\/1 - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 13*s + 15. Suppose -31*l - 18*l - 637 = 0. Determine q(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 34.2. Which is the fourth smallest value? (a) -2\/5 (b) l (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1300459814\/670755 + -4\/134151. Let k = p - 1930. Calculate the common denominator of k and -46\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -385, -829, -1457, -2275?\nAnswer: -3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) 56 (c) -6 (d) 2 (e) -1\/2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-39))**38*(y**(-2\/7))**(1\/26)*(y*y**(-2\/5)\/y)\/y**6 assuming y is positive.\nAnswer: y**(334238\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*u + 197*u + 1 = b, 2*u - 3*b + 8 = 0. Suppose 3*p = -5*g - p + 19, -2*g + 7 = p. Solve 2 = u*z - g*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - 3*i + 5*i - 2*i**2 + 52 + 393*i**4 - 391*i**4 as z*i**2 + l*i**3 + t + a*i + f*i**4 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 139, 130, 121, 112?\n\"Answer: -9*q + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5857*n + 7. Let j(s) = -3906*s + 4. Determine 8*j(v) - 5*y(v).\nAnswer: -1963*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.63 and -1.6.\nAnswer: 9.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11)*p**(1\/6)*p*p)**(3\/14)\/(((p*p**(1\/11))\/(p\/p**6))\/(p\/((p\/p**4)\/p)*p*(((p\/p**(-2\/5))\/p)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(-289\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 13796?\nAnswer: 41388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -116 - ((-1 - 10) + (283 - 275) - 2).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - q - 2 = -5, -2*q + 6 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, h: 4}. Give prob of sequence th.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5*t + t)*(2 + 3 - 3) - 16*t - 12*t + 20*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*a - 13 = -5*h - 976*a, -2*h - 4*a = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*s**2 + 304*s**2 - 74*s**2.\nAnswer: 521*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 12 = -4*l, -20 = 10*t - 5*t + 2*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:38 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*j + 7420 - 1048 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 2*t**2 - 3*t - 24. Let n be b(7). Suppose -d - 4*g + 140 = 0, g + 967 = 5*d + 288. Let o = n - d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 - 24*u**3 + 4 - 625*u**2 + 623*u**2 in the form a + v*u**2 + l*u**3 + j*u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*u + 4 - 2424*u + 2 + 5.\nAnswer: -1997*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -23. Let o be 12\/(-56)*-12*7. Suppose p + o - 23 = s. Solve -p + 1 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from ccccccccckccccccccc.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 2*n + 42. Find the common denominator of -49\/16 and (-2)\/n - (-2)\/224*-66.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 4*m + 7. Let y be k(4). Suppose d + 0 = y. Which is smaller: 36\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -433450555?\nAnswer: 433450561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 22*i. Let k(c) = 68 - 137 - 21*c + 69. Let q(f) = 6*k(f) + 5*l(f). Let u(n) = n**2. Give u(q(x)).\nAnswer: 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 divided by 1?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -85, -125, -163, -199, -233?\n\"Answer: a**2 - 45*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovreaoo. What is prob of sequence aoe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/3360)\/(((-1122)\/(-77))\/(-17)).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-13191.\nAnswer: -6595.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(43\/(86\/(-12))))\/(-5*(-3)\/30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464066644 and 1796.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -61081*t + 6047061. Calculate o(99).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -379, -449, -519, -589, -659?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5253*r + z = -5249*r - 37, z + 2*z = -339*r - 166*r + 5059 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4772 - -4?\nAnswer: 4776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 743, 735, 725, 713, 699, 683?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672\/1881*2\/(-8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(50) - sqrt(2)) + -1 + sqrt(16)\/(2*sqrt(8)) + ((-1*sqrt(972) - sqrt(972) - sqrt(12))\/(-1*sqrt(384)))**2.\nAnswer: 11*sqrt(2)\/2 + 329\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.065 - -0.135. Sort 0.3, 2, b in decreasing order.\nAnswer: 2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233421 - 132?\nAnswer: 233234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**7\/1155 + l**6\/330 + 5*l**2. Factor c(j).\nAnswer: -2*j**3*(j - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*r - 1, 5*m - 2*r = 3*m - 8. Let k = 6 + m. Solve -k*i - 2 = 2*c, -3*c + 6*i = 4*i + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 68\/16)\/1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1584\/27)\/22*300\/(-80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/(-14))\/(220\/(-770))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Expand -3 + 2*u + 4 - 3 + (45 + 58 - 90)*(0*u - 2*u - u) + (u + 2*u - u)*(0 - 3 + 5).\nAnswer: -33*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335827180?\nAnswer: 2, 5, 13, 17, 75979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - d - 3 + (-d + d - 2*d)*(2 + 3 - 3) + d - d + d + 3*d + 3*d - 5*d + (-1 - 1 + 0)*(1 - 2*d - 1).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from tgbmxgymgxxxgxg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {z: 1, q: 1, i: 2, r: 1, y: 1, t: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let k(u) = 109*u**2. Determine c(k(o)).\nAnswer: 109*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 28*f - 1376. Suppose -l - 180 = -d, 2*l - f = -5*d + 3*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31298872.\nAnswer: 2, 11, 355669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -539?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.387 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - k + 2*k + (-k + 0*k - k)*(0 + 0 + 3) - 3*k - 4*k - 5*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t + 25. Let b be (4\/t)\/(6\/(-15)). Suppose b*k - 16 = 4*m, 0*m = -k - 2*m + 4. Solve -k*u + u = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26))\/(2\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 3*i - 6. What is u(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 10*l**2 - 11*l - 15. Let v be f(-9). Suppose -5*d + 59 = -0*w + v*w, 5 = 2*d - 5*w. Solve 0*j - d = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x. Suppose 45 = 10*l + 25. Let g(j) = -389*j + 389*j + 53*j**l + 8*j**2. What is g(r(o))?\nAnswer: 976*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 62. What is the greatest common divisor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 20. Suppose 0*r = -k*r - 12. Let w = 0 - r. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85120, -170255, -255390?\nAnswer: -340525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y - 5*y - 240 + 240. Let f(u) = 2*u**2. Calculate v(f(d)).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -l - l. Is (l - 0 - 1)*1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62762 - 41013. What are the prime factors of n?\nAnswer: 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2922509 at most -2922950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 612*k\/7 - 46818\/7.\nAnswer: -2*(k - 153)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 650.6 - 759. Let v = y + 50.3. Let k = v + 56. What is k rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-15) + (-11)\/(440\/(-16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i - 3*i + 4*i - 1 + 1 + (4 - 3 + 1)*(2*i + 0*i - 4*i) + 2 - i - 2 - i + 2*i + i + i - 3*i - 4*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03661 rounded to three dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/2 - 3964*z - 102895\/2 = 0.\nAnswer: -7915, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2 and -53\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 2 + 10 - 12.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/2*(-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let f = 3 - c. Suppose 2*h = -f*s - s + 50, -16 = -4*s. What is the highest common factor of h and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*o + 134 - 133, 5*z - o - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 1. Let p(s) = 8*s + 8. Let u = 39 - 29. Give u*w(o) - p(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 - s - 4. Let l be j(-4). Suppose -2*d + 33 + 97 = l. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 10 = 3*v. Let m be (5\/4)\/(2\/8). Put -3, m, 3, v in descending order.\nAnswer: m, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(0*r**4 + r**4 - 23*r + 25*r) to the form c + d*r + q*r**2 + i*r**3 + v*r**4 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 334758 or 334181?\nAnswer: 334758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 3*m + 2. Let h be b(3). What is the highest common divisor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302865 + 302865 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24714\/27*(-20298)\/(-68) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10495\/2696 + 6\/337. Let b = 4777 - 57403\/12. Find the common denominator of n and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20777 - 20625. Calculate the remainder when 10636 is divided by g.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:11 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008 a factor of 247770552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.870027 nanograms in tonnes?\nAnswer: 0.000000000000007870027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elle when four letters picked without replacement from {l: 7, g: 1, e: 2, f: 4, i: 2}.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 6*i + 2 + 0*i**2 + 0*i**2 - 3*i**2. Let u be g(-6). Suppose m + u = 2*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 59711*o - 477723. Give y(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 48. Let z = 53\/10 - 11\/2. Which is the closest to -7? (a) -5 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 2*k - 108, 0 = -3*w + 2*k + 19 + 5. Solve 5*t + 12 = -3*q + 3, 0 = 4*q + w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r - 4*r + 9*r - 29*r**2 - 2*r to the form v*r**2 + l*r + w and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 695643251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 208.792321124 + -229.4923199. Let o = j + 20.7. Round o to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 4\/5 (c) -9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 307 + 274 = 0. Let i = h + 82. What is the hundreds digit of ((5 - 5) + i)*-109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - 0.16. Let i = 82 + -81.934. Let x = i - f. Round x to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 6*t**2 + 7*t. What is d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.29 + -4.3. Let v = -2.029 + y. What is v rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = -3*g + 26, 64 = 3*n + 2*g. Suppose -3*s - 2*s + 50 = 0. Let w = -6 + s. Calculate the smallest common multiple of n and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -42*g**2. Let f(y) = 13*y. Calculate v(f(p)).\nAnswer: -7098*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 6*f**2 + 43*f - 17. Determine i(-5).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**30*b*b*b*b**(2\/37) assuming b is positive.\nAnswer: b**(1223\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -244660.9 to the nearest one hundred.\nAnswer: -244700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 966 - 973. Let v(o) = -3*o + 3. Let i(f) = 4*f - 3. Let h(a) = a**2 - 10*a + 6. Let k be h(9). Let j(m) = k*v(m) - 2*i(m). Determine j(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**3 + 602*c**2 + 14246*c - 2 wrt c.\nAnswer: 138*c + 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 102d - -15?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*d + 80*d = 25. Put 3, 222, d in increasing order.\nAnswer: d, 3, 222","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/4, -14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, o: 4, c: 3}. What is prob of sequence ct?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 368338351 to the power of 1\/2, to the nearest integer?\nAnswer: 19192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 118760105 to the power of 1\/3, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2\/(-4) - (-7)\/(-8)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 126, 172, 218?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -349\/7 - -50. Which is the biggest value? (a) -1 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**2 + 933*k + 626. Is l(89) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjtjjfjft. Give prob of picking 1 f and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 20066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47475.79 hours to microseconds.\nAnswer: 170912844000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4816669*i. Let r(q) = 16*q**2. Calculate v(r(o)).\nAnswer: -77066704*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:42 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*b - 2*t + 5, -3*b - 9 = t. Let g = 66 - 66. Suppose -5*p + d + 0*d - 11 = 0, g = -5*p - d - 9. Put -10, b, p in descending order.\nAnswer: p, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 52952*y - 1060640.\nAnswer: 4*(y - 13258)*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2\/11 + 3642*k + 1002800\/11 = 0.\nAnswer: -25, 20056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - f**2 - 610000 - 3*f**2 - f**2 - f. Suppose c = -3*c. Let o be n(c). What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -13*c**7\/21 - 7*c**3\/6 + 20*c + 7. Let l(i) be the first derivative of j(i). Find the second derivative of l(g) wrt g.\nAnswer: -520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 78*b + 1. Let t be v(-39). Let o(a) = 3 - t - 2546*a + 2551*a. Suppose -4*i - 2 = -2*k, 4*k - i + 8 = i. Determine o(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 997760 = 997735, -b - 5 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-14) + (-12)\/(-28). Let t = 14 - 24. Let y be (4 + -5)\/((-2)\/t). Sort y, -4, h in decreasing order.\nAnswer: h, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 981 and 5532840.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 131*m + 6*m**2 - 61*m - 7 - 80*m. Let a be x(2). Sort 3, a, -1, 14.\nAnswer: a, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*y + 12 = 0, -5*x - 64 + 67 = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + 5*2*sqrt(1728))\/(sqrt(24)\/(-1*(sqrt(6) - (sqrt(6) + (sqrt(6) - sqrt(96)))))).\nAnswer: -396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 5. Let a(j) = 2*j + 18. Let v be a(-8). Let o(l) = -v*l + 9 + 2*l + l - 3*l. Give -3*o(i) - 5*y(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 36 - (2 + 20 - (-38 - -49))) + -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (-73)\/3. What is the second derivative of -64 + 28*r + 64 + a*r**2 wrt r?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33762 by 1986.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 26*j + 51. Let c(r) = r**2 - 5*r - 10. Let g(m) = 22*c(m) + 4*z(m). Let k be g(7). Does 12 divide (-24 - 0)*k\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t**2. Let a be (4*3\/(-18))\/((-3)\/9). Let c(r) = r - 2. Let x(n) = -n + 1. Let y(d) = a*x(d) + c(d). Determine y(f(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2\/299 in decreasing order.\nAnswer: 2\/299, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 16653*z\/4 - 5352858.\nAnswer: -3*(z + 2023)*(z + 3528)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 12:32 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1427 and 2795493.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/18900 + x**5\/900 - x**4\/6 - 5*x**2. Let j(i) be the second derivative of n(i). Let j(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**3 + j**2 - 2*j + 1. Let r be f(1). Let i(b) = -196*b**2 - 7*b - 12. Let t be i(r). Let x be 328*9\/((-9)\/t). Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/3861 + 162167\/19305. Calculate the common denominator of 51\/4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*y = -12. Find the first derivative of 2*t + y*t**2 - 2*t + 2 wrt t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16341806 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyy when three letters picked without replacement from {y: 2, v: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + n - 96 = 0, -6*n = -4*l - 11*n + 387. Solve -l*p - 8 = -89*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - 0.92. Let l = m + -1.2. Is -2 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9)\/(h\/(h*h\/(h*h**(2\/5)*h)*h))*h**0*h*h**(-14)*h)**(-6) assuming h is positive.\nAnswer: h**(642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/14 + 85\/7. Let g = -12 + d. Solve 3*z + z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + -1 - (-9 + 9 - (1857 - 2)).\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 3*x**2 + 2*x + 3. Let y be f(-3). Let z = 8 + y. Suppose -4*w = -z*w + 3*s + 124, -254 = -2*w + 4*s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -66*u - 20*u**3 + 60*u - 4*u**2 + 8*u**3 - 3*u**4 - 11*u**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -0.1 (c) -3.5 (d) 1 (e) -432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 1628665940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h**2 - 8*h**2 + 77 - 8*h**2 + 74 - 151.\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.813 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/140*10)\/(((-6)\/(-3))\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11279 is divided by 10918.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9212 and 7374206?\nAnswer: 14748412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630 divided by 508.\nAnswer: -315\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8502 and -12.\nAnswer: 102024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -716 (base 15) to base 16\nAnswer: -63c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 123293, 25 in descending order.\nAnswer: 123293, 25, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. What is the first derivative of -17*v**3 - 2*v**k + 2*v**2 + 13*v**3 - 1 wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1301421200 (base 5) to base 10\nAnswer: -3154550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13 + 0 + 12\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5621?\nAnswer: 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -1693, -3?\nAnswer: -1693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.74358l to millilitres.\nAnswer: 7743.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2\/3*m**3 + 0*m + 0 - 40\/3*m**2 = 0?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, -0.06, -0.05, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4 - 3*h**2 - 36*h - 60*h + 97*h + h**3. Let t(j) = -j**3 - 6*j**2 - 4. Let p be t(-6). Let z(q) = -2*q**2 + q - 3. Calculate p*z(i) + 3*g(i).\nAnswer: 3*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7991*h**3 - 2*h + 155095?\nAnswer: 23973*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -89*n**3 + 88510887 + 201*n**3 + 859329*n + 2781*n**2 - 109*n**3 = 0.\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 3*z, 0 = 2*x - 0*z - 3*z. Suppose 4 = x*f + 16. What is the common denominator of (-326)\/20 - (0 + f) and -79\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*g - 21 = -2*w, -g - 15 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 11*v**2. Let n be b(-11). Factor -r**2 - r + n*r - r.\nAnswer: -r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5076000 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*o - 2*o + p, 5*o + 3*p = -2. Suppose 0 = -i + 1, -5*i = r - o - 7. Solve 0 = -r*z + 14 - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqffrcfqcf. Give prob of sequence cr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433.408 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -24. Let n = k - -7. Suppose 4 = -4*d, h + 6 + 0 = -5*d. Sort n, h, 0 in descending order.\nAnswer: 0, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*g - 170 = -0*g. Which is the nearest to g? (a) 3\/8 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12115292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00109297 to 5 decimal places.\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.98 - 7. Let p = -178.02 + 174. Let o = p - m. What is the third biggest value in -3, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 921833876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 13. Let b = 9 + a. Let s = -1007\/47 + 4941\/235. What is the nearest to s in b, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01252 + -100.9455266.\nAnswer: -100.9580466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 2*w**2 + 12*w - 9. Let t be o(-9). Let h = 3940 + -3890. What is the highest common divisor of h and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = 0. Suppose l = -2*a + 10, -z + 4*a - 20 - 5 = 0. Let k = -6 + 1. Is z > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(1 - 3*w - 1 + (1 - 1 + 1)*(-8*w - 4*w + 4*w) - w + 0*w - w - 821 + 821 + 236*w) to the form d + i*w and give i.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 - 2*w**2 + 3*w + 2. Let n be x(-2). Let y be (15 + (-2 - -2))*(-4)\/n. Let t be y\/((-5)\/6)*2. Solve 4*l - 23 = 3*h, -l - 2*h + 4 = t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) 1\/41 (c) 36\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-14))\/(9*(-18)\/(-81))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -11*b - 5*r, 0*b = 3*b - 4*r. Let a = 112 + -79. Sort -1, b, -5, a in ascending order.\nAnswer: -5, -1, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let j be (-86)\/18 + 4\/(-18). Let h(m) = -3*m + 157 - 157. Let p(k) = -7*k. Let f(t) = j*h(t) + 2*p(t). What is w(f(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 58*o**2 - 5*o + 151. Determine g(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12222 + -5334. Suppose -7*d + 31*d - h = 0. Calculate the greatest common divisor of 41 and d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b + 26. Calculate o(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -928.1552\nAnswer: 928.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 - 27*m - 27. Suppose -o + 5 - 3 = -2*c, 0 = -4*c + 16. Let t be v(o). Solve -5*p = 0, t*z - 2*p + p = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645, 1291, 1937, 2583, 3229?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {r: 1, z: 3, t: 1, j: 1, a: 2, w: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13521?\nAnswer: 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 816763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 560.2054523 to two decimal places.\nAnswer: 560.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + 36 + 21 - 2*h)*(4*h + h**2 - 4*h + (-3 - h + 3)*(-h - 12*h - 32*h)) to z*h**2 + d + b*h + v*h**3 and give z.\nAnswer: 2622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t + 1. Let n be u(-3). Suppose -4*l = 9 - n. Solve 0 = l*w + 5*b - 3, 4*w - 3*b = 2 - 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 560*h*x**3 - 1243*h*x + 519839*x**3 with respect to h.\nAnswer: 560*x**3 - 1243*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:24 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/3192)\/(11\/(-88))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -230*t - 770. List the prime factors of s(-80).\nAnswer: 2, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - z + 4*z)*(-z**4 - z**4 + 3*z**4) - 3109*z - z**5 - 3184*z + 5640*z.\nAnswer: -3*z**5 - 653*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 + 2*r + 7. Suppose q - 4*q + 144 = 0. Let z be (-57)\/18 + 8\/q. What is the units digit of n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2954 is divided by 731.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1040.319781 and 2.77.\nAnswer: 1043.089781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5097 - 5894. Is -798 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -2\/3549, 1, -2\/11, 3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79523 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 371.521 to the nearest integer.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/1439 - 105147\/28780. Find the common denominator of l and 69\/2192.\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 12. Suppose h - 2*h + 10 = 0. Let s(d) = d + 6. Calculate the lowest common multiple of s(10) and p(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1284, 1285, 1288, 1293, 1300?\n\"Answer: a**2 - 2*a + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721167?\nAnswer: 3, 37, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072182 to six dps.\nAnswer: 0.000722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 20*l - 69. Let f be y(-23). Suppose -3*i + 771 + 1533 = f. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -1)*(1 + 0). Suppose 0 = -o*w - 12, 0 = -5*i + 5*w - 2*w + 17. What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10\/7)\/(u\/u**10*u) assuming u is positive.\nAnswer: u**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287121684.\nAnswer: 2, 3, 47, 541, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 164. Give k(24).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 33940453 to the nearest one hundred thousand.\nAnswer: 33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -j - 2*j + 22, 3*j - 5*i - 52 = 0. Let t be 2\/16*25 + j\/(-72). Suppose 0 = -t*d - q + 190, 5*d - q + 158 = 472. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m**3 - 3881675*m**2 + 3881675*m**2 + 2.\nAnswer: -68*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16\/(-24) + 4777\/6 + 339\/226 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 + -252. Let z(p) = -p**2 + 6*p - 3. Let b be z(4). Put v, 1, b in ascending order.\nAnswer: v, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**2\/2 - 6*t - 15. What is j(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 7 - 39 + 12*f)*(0*f + 0*f - 2 + 2*f**2).\nAnswer: 24*f**3 - 26*f**2 - 24*f + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x + 18. Give r(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35819*p + 0 + 0 + 35828*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/252 and -115\/198.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 + 3*g**4 - 4*g + 4*g**3 - 3*g**3 - g**2 - 67 to z*g**3 + x*g**2 + m*g + c*g**4 + s and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q + 13. Let t be 1\/(-3) + (-2)\/(-6). Let m be x(t). Let k = m + -14. Let b(r) = 14*r**2. What is b(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)\/t**(-4\/3)*t**12\/(t*t**(-4)) assuming t is positive.\nAnswer: t**(545\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4.8. Let p = 1.2 + i. What is the second biggest value in -4, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5 - 106*m**3 + 381*m - 1?\nAnswer: -100*m**3 - 636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173633907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(162)\/(sqrt(9) + sqrt(9)*-2 + sqrt(9) - sqrt(9)))\/(4*sqrt(24) - sqrt(54)\/(2*sqrt(9))).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*10*(-14 - -15). Calculate the highest common factor of 155 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.2 - -14. What is the smallest value in 0.3, w, 1\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 5607*d + 79 - d**2 + 5141*d to the form g*d + c + y*d**2 and give g.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72.53357 years?\nAnswer: 7.253357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose 56 = -27*g - g. What is the fourth smallest value in g, v, -2\/11, 1\/14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-14)*n)\/n**(2\/11))\/(n*n**(-1\/6))**(4\/19))**36 assuming n is positive.\nAnswer: n**(-100500\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 6*d**4 - 40*d - 11*d**2 + d**3 + 36*d - 5516 + 5513 - 6*d**2 in the form f*d + m*d**3 + i*d**2 + w + q*d**4 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -32*s**2 - 6*s + 18. Let n(x) = -33*x**2 - 4*x + 17. Let m(b) = -3*n(b) + 2*u(b). Let f(k) = -5*k**2 + 2. Determine 15*f(j) + 2*m(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1277 + -1277.5. Let f = 0 + -1. Let q be ((-1)\/(2\/2))\/f. Which is the closest to q? (a) 0.5 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 393 = x + 5*t, -4*x = 4*t + 716. Let z = -48 - x. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2 = 2*r + 2*x, -3*x + 23 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:51 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.67, -3, -3\/2, -4?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22860903 by -51.\nAnswer: 448253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = 5. Let z be (-23 - -1) + n*(1 + 0). Calculate the least common multiple of 30 and 1*z\/(-3) - -1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/102 and -23\/95079?\nAnswer: 3232686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13783645921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -85012632 divided by -36?\nAnswer: 2361462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003303084 rounded to 7 decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1661*d - 5. Let x be c(-5). What is x rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0191 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2)\/((-6)\/4). Let s be ((-3)\/(-3))\/(g\/(-4)). Suppose 3*w = -s*w + 190. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56508 divided by 3.\nAnswer: 18836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 40 = -2. Suppose -k - 10 = -x - 2*k, -2*x + 2*k + 8 = 0. Let c = x - -18. Calculate the remainder when c is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*g + 319, 4*r - 322 = 6*r - 2*g. Let f = 163 + r. Solve 2*w + 2*i + 0 = -2, -i - f = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -47*o + 11. Suppose 3*d + 27 = 6*d. Let u be k(d). Let p = u + 897. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302763 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/8 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(272) + sqrt(17) + -4 + sqrt(136)\/(-1*sqrt(8)) - (sqrt(1700) - (sqrt(1700) + 2 + 2 + sqrt(1700))))**2.\nAnswer: -16660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 19*z**2\/2 - 5. Let o(m) = 496*m**2 - 499*m**2 - 4*m + 4*m. What is f(o(v))?\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 9:43 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9937463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533147101.\nAnswer: 4519, 117979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472, 469, 466, 463?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94160 and 288365?\nAnswer: 4613840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**4 - 2*r**3 + 5*r - 2. Let g(o) = 13*o**4 - 9*o**3 + 21*o - 9. Let y(t) = 2*g(t) - 9*x(t). Find the second derivative of y(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n - 68. Suppose 6*d - 3 = 3*w + d, -5*w + n = -d. Suppose 4*i + 0*b - 164 = 2*b, 158 = w*i - 5*b. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-75 + -52)) + -25?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**2\/4 + 386901*r\/4 - 13774131\/2.\nAnswer: -3*(r - 25722)*(5*r - 357)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8116 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2472165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 858*o + 32 = -11*j + 18*j + 861*o, 0 = -5*j + 2*o + 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2933059 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2. What is the remainder when m(6) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -2. Let d = 41 + -57. Let u be (d\/(-10))\/(2\/5). Sort 2, j, u in ascending order.\nAnswer: j, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 895\/469 - 13\/67. Suppose -3*j + 76 = -0*k - 4*k, 5*k + 5 = 0. Find the common denominator of j and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 56. Let a be o(-8). Solve 0 = -a*v + 5*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/104*4)\/(-2*5\/24)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 156 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - (1 - (-3 - -1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*k**2 - 66725*k - 220*k**2 + 33362*k + 33363*k.\nAnswer: -1052*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 11745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5020 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1 - 2 - 9\/(-3)). Suppose 0*q = -2*z - 3*q, z - 4*q = 11. Suppose -2*x - z*x = -30. Solve 0 = -3*v + x*k - k - 30, -3*v + k - 18 = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrkrwrkwrrrkkrrr. What is prob of picking 1 w and 1 r?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 387*n - 92*n - 93810. Calculate the remainder when 927 is divided by n.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.2 (b) 2\/9 (c) -2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 28037616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-9 - -1). Let r = 3 + -1. Let b = r + v. Solve -t = t + b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -107*g**4\/24 + 15*g**3 + 128*g**2. Find the first derivative of y(r) wrt r.\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45414*j*s + 3214*j + 4 wrt s.\nAnswer: 45414*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808352 - 2*l**2 + 808352.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/4 + 35\/12. Which is the closest to 0? (a) -4 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (-12 + 75)) + 15 - -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 16*v + 33. Give o(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75281 or 75278?\nAnswer: 75281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let m be (-4)\/(-4) + (-24)\/(-110) + -1. Let t = 13\/11 + m. Which is the closest to 1? (a) 4 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -59758492?\nAnswer: -59758499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 1488 = 28*s. Suppose 5*w - s = 44. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - 132. Solve 27 - 7 = n*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -9. What is the nearest to h in -1\/2, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2048 = -6*m - 10*m. Suppose -57*w + 49*w + m = 0. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*m - 147974985, 48*m - 50*m = 5*b - 147975010. What is b rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 35898377?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7456511.\nAnswer: 7456511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 605056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 590b (base 15) to base 8\nAnswer: 44737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -91796 and -91798 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2963352 and 46562.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/10)\/((-2)\/10). Let n = x + -36. Round n to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3027, 3142, 3271, 3414, 3571?\n\"Answer: 7*r**2 + 94*r + 2926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Let f be 8\/3 - (-1)\/u. Let w = 2 + f. Calculate the least common multiple of w and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 9. Let f(j) = -3*j - 4. Let h(g) = -13*f(g) + 6*q(g). Suppose -p - 4*z = -0*z - 22, 3 = z. Suppose 15*u = 10*u + p. Calculate h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116684426 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0. Let f be -1 + -2 + (7 - 2) - 39\/15. What is the nearest to f in w, 4, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3. Let f(y) = 12*y**3 - 2*y. Calculate 3*f(l) + 15*p(l).\nAnswer: 6*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27799.34 rounded to the nearest 100?\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**7\/105 - v**6\/20 + v**4\/3 + 8*v**2 - 22. Let c(s) be the second derivative of x(s). Suppose c(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*l - 8900 - 9600 = 0. What is the remainder when l is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 l when four letters picked without replacement from iiiallliaallilll.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -251, -381, -513?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/28709 or -1?\nAnswer: -10\/28709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1116413\/5 + 223283. Solve -n*c**2 + 0 + 2\/5*c = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 210121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 1583*f - 3*f**2 + 2*f**2.\nAnswer: -f**2 + 1583*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 272452?\nAnswer: -272451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 4*f**2\/5 + 96*f\/5.\nAnswer: -2*f*(f - 6)*(f + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -5*r**4\/12 + 2*r. Let u = 250 - 246. Let c(h) = -12*h + u*h + 4*h. What is o(c(j))?\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and 61\/759564?\nAnswer: 759564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 1298\nAnswer: 12\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/3 - 5*c**2 + 4*c + 1. Let a = 177 + -170. Calculate i(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let w be l(0). Suppose -k - 2*k + 114 = w. Suppose 29*u - 459 + 53 = 0. Calculate the remainder when k is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3834644266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yteddekktkketyeyydd. Give prob of sequence yedd.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -261*n**3 - 18*n**2 - 48*n - 24. Calculate x(-1).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/24 + 10*o**3\/3 + 6*o**2. Let f be d(16). Solve n = f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 0.05 (b) 5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/7 + 6\/(-21). Suppose n*z + 10 = 5*r, -8*r + z + 19 = -4*r. Calculate the highest common factor of r and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*u - z, 4*u = 3*z + 3 - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**3 - l + l - 6*l**3.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 4*j**2 + 5*j - 6. What is m(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25398 is divided by 7718?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(2\/51)\/o)\/o*o)**11 assuming o is positive.\nAnswer: o**(22\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 12. Suppose -4*f = -5*t + 12, 0 = -t - f + i*f. Suppose t*l - 28 = 2*v, 28 = 4*l + 2*v - 3*v. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -482\/5 - -6256\/65. Sort r, -1\/750, -1 in decreasing order.\nAnswer: -1\/750, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19088.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -121.752\nAnswer: 10.95768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 at least 309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 13*h**2 + 33*h - 30. What are the prime factors of g(12)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 149?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*h - 8, -h + 3*h - 5*n - 22 = 0. Let r = 6 + h. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66195473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 1296.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 20. Let r be 2\/(-5)*5\/m. Which is the closest to r? (a) -4 (b) 0.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4158 divided by -594.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(832) + sqrt(832) + 2 + sqrt(832))**2.\nAnswer: 384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -4.3. Let q = 4.6 + h. Let n = 1 + 4. What is the third biggest value in 5\/3, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-8)*(n\/(n\/(n\/n**(-24))))\/(n*n**(1\/8)*n) assuming n is positive.\nAnswer: n**(787\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 11?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78.99 + -21.31. Let u = -21.7 + x. Let g = u - -121.9. What is the nearest to g in 0.07, -1, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10952670.\nAnswer: 2, 3, 5, 365089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1130*j - 560*j - 569*j + 14. Let i(a) = -a**2. Calculate r(i(h)).\nAnswer: -h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 582944*-976\nAnswer: -568953344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 153 - 77 + 6*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r - 29*r - 44*r - 3 + 12.\nAnswer: -51*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*f + 24, -2*n - 2*n = 3*f + 24. Let q be -2*(-2)\/(-4)*-17. Let k = q + n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19176 = 1342*y + 256*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 12*p + 34. Let k be t(8). What is the second derivative of -5*w**2 + 6*w**2 + 4*w**k + 12*w + 6*w**2 wrt w?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 10202?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 7. Let o be c(-4). Let l(h) = 72*h - 716. Let u be l(10). Suppose -d = -u*d - 6, -4*q + 190 = -o*d. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + (16 - (32 - 10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54 - ((-3 - 0) + 49)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j. Suppose 0*z - 2*z - z = j. Solve r - 3*r = -4*s, -2*s + 5*r - 8 = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 181405416?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 979270 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1616520 and 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134, 240, 348, 458, 570, 684?\n\"Answer: j**2 + 103*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308560 and 63800?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33e60 (base 16) in base 6?\nAnswer: -4320052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112840476 divided by -4?\nAnswer: 28210119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/(-20)*(-12 + 3216)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n. Suppose -4*i - 3*s + 20 = -3, -5*i - 5 = -3*s. Let v(r) = 6 - i - 4 - 12*r. Let k(j) = -2*v(j) + 3*y(j). Let h(x) = x. What is h(k(b))?\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2884802*n**2\/9 - 38432*n\/9 - 128\/9.\nAnswer: -2*(1201*n + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 5 = -g, -2*j + 241 - 231 = 2*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s + 1. Let b(m) = m**2 + 2*m + 102. Let g(n) = b(n) - 2*i(n). Let j be g(0). Let u = 42 + j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39684 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -3.5. What is the third biggest value in -0.1, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 25000. Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4404*m**2 - 2*m + 10. Let y be r(-7). Let z = 370481 - 238709. Let o = z + y. What is o rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence own when three letters picked without replacement from nrnyynnnnowww?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 287\/21 + (-32)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-40) + 39949\/(-4390).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yssyxsysxsysyyy. What is prob of sequence xys?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.142 + 30.358. Let p = 44 - i. Let r = 6.2 - p. Round r to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/8*((-22)\/3 + 6). Let j(x) be the first derivative of 0*x**t - 4\/3*x**3 - 6*x - 4. Differentiate j(r) with respect to r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 59.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5988, 6257, 6706, 7335?\nAnswer: 8144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-42)*(4\/(-8) - 4). Solve 0 = -5*w + i*w, w = -t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - h**2 - h. Let d be k(2). Suppose -5*u + d*u = 25. Suppose 0 = -u*p + 183 + 192. Round p to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8263 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 + j**3\/2 - 2*j**2 - 7*j. Suppose -6 = -3*w - 2*c, 5*c = 2*w - 7*w + 15. Suppose w = 5*g + 16 + 9. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let d be o(2). Let k be (-52)\/(-13)*d\/4. Let f be 2\/k - 69\/36. Which is the nearest to -2\/9? (a) f (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 7, 27, 35, 25, -9?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306439 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a - -3018ee?\nAnswer: 301949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 5*z + 15*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1542, -3063, -4566, -6051, -7518, -8967?\n\"Answer: 9*m**2 - 1548*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -94*v - 20. Let s(t) = 23*t + 5. Let x(c) = -17*s(c) - 4*u(c). Let n(q) = 10*q**2. Give n(x(w)).\nAnswer: 2250*w**2 + 1500*w + 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 9. Let b(k) = -k + 4. Let j(p) = 10*b(p) + 4*w(p). Let m be j(4). Is (-3)\/m - (-17)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 2785*c**4 - 18950*c**3 - 165560*c**2 + 304480*c + 1936000 = 0. What is c?\nAnswer: -4, 4, 11, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17.41 times -1109.06\nAnswer: 19308.7346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 104 and 98 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*z + 25 - 30 - 397*z + 4 in the form l + r*z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24\/50 - 18\/45\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.1982.\nAnswer: -3, 0.1982, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 2*p**2 + 3*p - 11 + 12 as l*p + s + c*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*s + 20 = m, -3*s = -3*m. Suppose -m*d + 6 = 2. Solve 0 = -2*p - d - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12182, 12190, 12224, 12296, 12418, 12602?\n\"Answer: 2*w**3 + w**2 - 9*w + 12188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-6)\/(-3)*1). Let f = 2 - r. Suppose -3*p - 4776 = 2*u - 145786, -f*u = -10. Round p to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 3. Let i(v) = v. Let d(b) = -2*i(b) - m(b). Let g be d(-7). Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 19*d = 130. Factor -31*j**3 + 23*j**5 + d*j**3 + 24*j**4 + 36*j**2 - 8*j - 69*j**4 + 7*j**5 - 5*j**5.\nAnswer: j*(j - 2)*(j + 1)*(5*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -16*q**2 - 24*q + 10. Give x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -878\/11907 - -8\/243. Let w = 37\/294 - n. Let h = 0 - w. Sort -2, h, -3 in ascending order.\nAnswer: -3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204122197 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 47. Let p = y - -25. What is the tens digit of (p\/50)\/((-1)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 1)*(-2*a**2 + a - a)*(-12 - 18 - 5) to the form v*a**2 + s*a + n and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:27 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -184. Solve h + 3*u = -1 + 19, 0 = 4*h + 2*u - o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. What is the third derivative of -4*j**3 + 5*j**3 + 2*j**2 + 0*j**x wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 1763d?\nAnswer: 17657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 2\/7*k**3 + 0 + 0*k**2.\nAnswer: 2*k**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-2)\/(2*1\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -4*sqrt(176) + sqrt(176) + 2)*-5 + 5*(-1*sqrt(176)*-1 + (sqrt(176) - (sqrt(176) + -1)*-3 - sqrt(176))))**2.\nAnswer: -1400*sqrt(11) + 215625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20 + 453*n**3 - 552*n**3 - 8*n**2 - 48 + 167 + 2*n wrt n?\nAnswer: -594*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2)*2\/(-5). Let d = 39\/2 + -21. Let f = 805.1 + -805. Which is the nearest to t? (a) d (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 - 669*q**2 - 12*q. Let l(k) = -5*k**3 + 669*k**2 + 8*k. Determine 2*c(t) + 3*l(t).\nAnswer: -3*t**3 + 669*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2\/2 + 16*p - 1. Suppose 2*h + 12 = 4*f, 7*f - 9 = -h + 4*f. Is d(h) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 34764593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674997130.\nAnswer: 2, 5, 467, 144539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = -2. Solve -p + 3 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -64 + 159*s + 1\/2*s**4 + 30*s**3 - 251\/2*s**2 = 0.\nAnswer: -64, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1)*-5)**2.\nAnswer: 400*sqrt(11) + 17625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 5*h + 8. Let z be s(-3). Suppose 4*f + 3*q - 32 = -2*q, -f + z*q = -8. Solve 6*x - f*x + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 12*p + 61. Let c(i) be the second derivative of i**5\/5 + 3*i**2\/2 + i. Let f(j) = j**3 + 1. What is p*f(d) + c(d)?\nAnswer: -2*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2 - b - 6 + 3. Let f(n) = -4 + 3*n - 2*n - 2 + 10. Let l(p) = 4*d(p) + 5*f(p). Let y(r) = 7*r**2. Determine l(y(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708 divided by 12.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/4 + (-2)\/(-4)*-3. Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 3257288*w - 663120319684 = 0 for w.\nAnswer: 407161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6012, -8645, -13034, -19179, -27080, -36737, -48150?\nAnswer: -61319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 7. Let v be q(5). Let w(s) = -4 + 3 - 6*s**2 + 2 + v*s**2 + s. Let f(k) = 17*k**2 - 4*k - 5. Determine -2*f(r) - 9*w(r).\nAnswer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 50*y + 164 = 40. Put 46, y, 3 in descending order.\nAnswer: 46, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -13. Let i be 11 + n + 0 + -2. Suppose 9 = 2*y - i*c, -2*y + 45 = 3*y - 5*c. What is the least common multiple of 9 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.013 - -3.013. Let v be 7\/7 + (-14)\/12. Which is the closest to 0.1? (a) v (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252952257, 252952274, 252952327, 252952434, 252952613, 252952882, 252953259?\nAnswer: 252953762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 933*a**3 + 2*a**2 - 642*a + 2.\nAnswer: 5598*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 294886.35 or -2?\nAnswer: 294886.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -70*l - 182. Determine h(3).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -3*f**5\/4 - 7*f**4\/12 + 7*f**3\/6 - 94*f. Let q(a) = -2*a**3 + 8*a**3 + 2*a**2 - 2*a**3 - 2*a. Determine 22*q(t) + 6*u(t).\nAnswer: -2*t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 16. Put h, -0.4, 2 in descending order.\nAnswer: 2, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Let z be 2\/k - 56\/(-12). Suppose 5*u = d - 19, d + 2*u + z = -u. Are 1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192225509 divided by 6\nAnswer: -192225509\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56641)\/(-30499)*14\/(-12))\/((-3)\/(-108))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160116 (base 8) in base 10?\nAnswer: 57422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11684277556752 and -8.\nAnswer: 11684277556744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49231 from -2510.960337.\nAnswer: 46720.039663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232134 (base 7) in base 16?\nAnswer: efef1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 9*s**5\/10 + 3*s**4\/4 + 31*s. What is the third derivative of f(v) wrt v?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from tbftvib.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 22*f**2 + f + 21. Let n be c(12). Let p = n + 480. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/15)\/(((-792)\/300)\/11) and -27\/1732?\nAnswer: 15588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 336b + -1?\nAnswer: 336a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-7 - (-48)\/6). What is the closest to c in 0, -251, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -8 + (-2 - (28 + -4)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -3*p - 2*v + v, -326 = -4*p + 2*v. Suppose 0 = x - 3*m - p, -234 = 5*x - 4*m - 639. What is x rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2049*a - 1761. Determine h(1).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54354*u - 1738 = 54275*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3283, 3784, 4327, 4918, 5563, 6268, 7039?\nAnswer: 7882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-1064))\/(45\/36*2\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/17)*q**19 assuming q is positive.\nAnswer: q**(324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -11 (c) -16 (d) 5 (e) 0.29 (f) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + (5 - (-6 + 14)) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:45 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 10:26 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) - (-88)\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*m**2 - 376*a**2*m - 4*a**2 - 54*a - 6677*m**2 + 29*m wrt a.\nAnswer: 4*a*m**2 - 752*a*m - 8*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/760*2\/(4\/2)*52\/(-156)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-1*-3 - ((sqrt(832) + -1 - sqrt(832)) + 2)) + ((1 + sqrt(832) - sqrt(832))*5 + sqrt(832) + -1*(sqrt(832) + 0) + sqrt(832))*-1)**2.\nAnswer: -192*sqrt(13) + 3364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -s + 27, 0 = -3*s + v + v + 76. Let p be 2\/(-9) - s\/(-18). Let x = 118\/225 + -2\/25. Is p greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 648\/360*(-2)\/((-6)\/5). Put -17, -1, g in increasing order.\nAnswer: -17, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by (-1 - 1) + 7\/3*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -21. Suppose w*v = 3*q + 75, 3*v = -4*q + 2*v - 89. Which is greater: -22 or q?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 15)*(2*m**3 + m**2 - m**2).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*g - 6*g. Let n = g - -61. Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2201 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*n**2 + 992*n**2 - 710*n**2 - 2041*n**2 - 1136*n**2.\nAnswer: -3929*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) 0.1 (c) 16 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174.6 - -252. Let m = -1.79 - 69.21. Let z = n + m. What is z rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwyuwuyuwwyww. Give prob of picking 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/11)\/v)\/(((v*v\/(v**13\/v*v)*v*v)\/v)\/v)*(v*v**(-1))**(2\/95) assuming v is positive.\nAnswer: v**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -792.1 and 11?\nAnswer: -8713.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 s when four letters picked without replacement from dyysydsyyyy.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -h. Let x be 2 - 2 - (-2)\/h. Let b = 20.9 + -21. What is the nearest to b in x, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/5))\/d)\/(d\/(d\/(d*d**(-5)*d))*d)*(d*d*d*d**5*d)\/(d\/d**(4\/9)) assuming d is positive.\nAnswer: d**(452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l*l)\/(((l*(l**(1\/4)\/l)\/l*l*l)\/l)\/l))\/((l**(2\/3)*l)\/l**6) assuming l is positive.\nAnswer: l**(451\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*((-36)\/3 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61181 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.070666 - 2\nAnswer: -2.070666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrkrrrrrrrbrrbrrkb. What is prob of picking 2 r, 1 b, and 1 k?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 37534*0.2\nAnswer: 7506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 32. Solve -1684*q + 3370*q - 19 - 2 - 1682*q + q**d = 0 for q.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53394 divided by -6?\nAnswer: 8899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 6105?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 581, 1227, 1873, 2519, 3165?\n\"Answer: 646*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -40. Let b(z) = -z**3 + 18*z**2 - 65*z + 3. What is the remainder when b(10) is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = -10. Let r(m) = m**2 - a + 4 - 2 + 1 - 2*m. Let n be 4\/10 + 13\/5. Calculate r(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*z + 2. Let w be z\/(-5) - -2*564\/30. Let k = w + -11. Calculate the lowest common multiple of k and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*m + 3*h = 164*m + 36, -m + 13*h = 12 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-9)\/6)\/(((-2905)\/70)\/(-83))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*i - 35, -738*n - 55 = -742*n + 5*i for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 + 142992*k\/5 - 83599872\/5.\nAnswer: -3*(k - 47072)*(k - 592)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 128*p + 260.\nAnswer: -(p - 130)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920) - (sqrt(1920) - (sqrt(1920) - 3*sqrt(1920))))\/((sqrt(420)\/sqrt(7))\/sqrt(6)))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 46 - 29 = 205. Calculate the remainder when 701 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/128733 and -73\/63195.\nAnswer: 246523695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6687*y + 6666*y - 1113. Are -42 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 94 = -40*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - s + 0)*(0 + 0 + s**3) + (41*s**2 - s**2 + 3*s**2)*(0*s + 0*s - s**2) in the form o + l*s + i*s**4 + y*s**3 + v*s**2 and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((51\/(-204))\/(1\/8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x + 143. Let w be c(-18). Let s(i) = -2*i - 40. Let b be s(w). Sort 5, b, 7, 2 in decreasing order.\nAnswer: 7, 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2770511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/350 + 3*t**6\/200 + t**5\/100 - 3*t**4\/40 - t**3\/5 - 15*t**2. Factor l(d).\nAnswer: 3*(d - 1)*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3635645326 to the nearest integer?\nAnswer: 60296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -130253644 (base 7) to base 8\nAnswer: -37460444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/29, -4\/3, 0.107 in descending order.\nAnswer: 4\/29, 0.107, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20992, -21859, -22726, -23593, -24460?\n\"Answer: -867*j - 20125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274274 and 75456997?\nAnswer: 10549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(-14 + 23 + -11)*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 11. Let p(c) = 8*c - 32. Let g(l) = -11*n(l) - 4*p(l). Calculate g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555697 to the power of 1\/2, to the nearest integer?\nAnswer: 2357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1823700 and 267000.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287999425 to the nearest integer?\nAnswer: 16971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -20 - (474 - 485)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/(-7 - (-3614)\/520). What is the highest common divisor of 3160 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 7261\nAnswer: -7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:34 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -13. Suppose 0 = -4*g + 5*d + 155, q*g - 9*d + 5*d - 152 = 0. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(16\/3)*5\/(-195)*-13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -33*t + 4. Suppose 4*i + 15 = -h, 0 = -2*h - 0*h - 2*i - 12. Suppose 382*m - 2779 - 7580 = -427. What is the remainder when q(h) is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-7 + (10 - 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112508320200 to the nearest 1000000.\nAnswer: -112508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + l**2 + l + 5. Let r be z(0). Let b(n) = -5*n + 8 - 5 + 2*n - r. What is the units digit of b(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -54*s + 6. Let j(d) = -438*d + 48. What is 4*j(i) - 33*x(i)?\nAnswer: 30*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from zzzzzizrzizzxzzfxzx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1063, 3932, 8715, 15412?\nAnswer: 24023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5 = 2*d - 1, 4*d = 12. Suppose -5*m + 3*b + 47 = 0, -5*m + 6*b - 2*b + 46 = s. What is the units digit of 15\/m*20\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, 5, -8, -3, 6 in ascending order.\nAnswer: -8, -3, -1, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8448760 and 0?\nAnswer: 8448760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-10))\/((-268)\/(-335)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10003 - 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 = -5*i + 2*p, 4*p - 109 = -4*i - 793. Let w = i + 79. Let x be w\/(-4)*(-132000)\/9. Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*d + 2 = 7*p, -p + 4*d = -8. Suppose 404 = p*l - 3*f - 10, 418 = 4*l - 5*f. What is the greatest common factor of 153 and l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*l - 3 = 0, 0*l + 11 = -x + 3*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {c: 4, u: 4, q: 2, r: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 + 21*g - 19. Calculate a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -7144 = -7145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81262 + 13*f**2 + 96*f + 81262 + (0*f - 3*f + f)*(2 - 2 - f).\nAnswer: 15*f**2 + 96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 63.6141?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/12 + 25*t**4\/24 - 5*t**3 + 25*t**2. Determine l so that p(l) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -57. Let m be -3*d\/24 - 2\/8. Suppose m = 3*s - s. Calculate the lowest common multiple of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49374a3 (base 11) in base 5?\nAnswer: -4144331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1702, -3 in ascending order.\nAnswer: -1702, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -9, 10, -2\/117, -32\/5, -0.12?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*j + 12*j. Let w(f) = 7*f**2 + 1. Determine w(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1092*z - 12408. Calculate h(-11).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + q + 2. Let b be m(-2). Let u = -10 - b. Is (-148)\/(-6)*u\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f + 1. Let u(w) be the second derivative of 1\/2*w**3 - 3\/2*w**2 + 1\/6*w**4 + 0 - 52*w. Calculate -u(i) - v(i).\nAnswer: -i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 41) + (7 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-105))\/((-180)\/3600).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 40 = -5*j, -5*j + 18 = 5*n - 12. Suppose -155*s - n = -162*s. What is the greatest common divisor of 4 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 847*n - 850*n + 57, 0 = j + 30*n - 74 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(520)*2 - sqrt(520)) + sqrt(520))\/sqrt(10) + 0 + (-4*(sqrt(3328) + 0) - ((sqrt(3328) - (2*sqrt(3328)*-5)**2) + sqrt(3328))).\nAnswer: -72*sqrt(13) + 332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 10*n**2 + 10*n - 5. Let z be o(9). Suppose 3*w + z*w + 7 = 0. Let m(f) = -10*f. Determine m(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001645 rounded to six dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - i = -15, 5*z - 3*z + i = -9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + c + 8*c + 6 - 3*c. Let t(v) = -v**2 - v - 1. Let r = -2 - -3. Let u(f) = r*p(f) + 6*t(f). Let j(q) = 2*q. Give u(j(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427381 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -948*a. Let f(b) = -b - 847. Give v(f(r)).\nAnswer: 948*r + 802956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 121, 1\/4, -60\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212844 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007677516 to six decimal places.\nAnswer: -0.000768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13957 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 198452 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11923 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 102 + (42\/(-4) - (9207\/198 + -59)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304463905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18656, -37274, -55892, -74510, -93128?\nAnswer: -111746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5854770 divided by 1170954?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 161840 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 110649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 25 = 2*t, -p + 4 = 3*t + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 + -2709\nAnswer: -2708.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -31. Let p = -7 - -3. Let n = p - u. Sort n, -5, -0.1 in ascending order.\nAnswer: -5, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244160 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 17 = -5*b. Suppose -16 - 13 = -5*k + 3*c, -4*k - b*c = -10. Solve -2*o - 8 = g, g - 2 - k = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153) + -3*2*sqrt(153) + sqrt(153) + sqrt(153)*3 + -4 + -4 + -2)**2.\nAnswer: 60*sqrt(17) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 + 4. Let x be 12\/4 - 4 - 2. Calculate l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/2 - 295*a**2\/2 + 2*a + 590 = 0. Calculate a.\nAnswer: -295, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b + 1 + 1)*(-17 - 9*b + 17).\nAnswer: 18*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18*(-2)\/(-1))\/(12 - 10). Suppose 3*t - 5*m - 43 - 9 = 0, -t + f = -2*m. Calculate the remainder when 64 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 34.43\nAnswer: 172.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - j - 40, 3*j = -5*n + 94 + 90. Suppose l + 4*o = -n, 3*l = -l + 5*o - 47. Let u = l - -28. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 51. Determine b(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/28*(-68)\/(-17).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(-33) + 2\/11. Let r = 285 - 601\/2. Let l = 15 + r. Which is the closest to z? (a) l (b) 0.3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 5*z - 226 = 0, -215*t + 210*t + z = 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 24. Let f(z) = -3*z - 1. Let v(c) = 7*c - 1. Let o(b) = 6*f(b) + 3*v(b). Calculate o(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27 - (-2)\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5555?\nAnswer: -1\/5555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(612))**2*-3 + 5 + (sqrt(612) + 4 + sqrt(612) + -4)**2.\nAnswer: -180*sqrt(17) + 4364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1013469 = 4*z, -1620*z + 1619*z = -3*p - 253346. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 121*o + 8 - 1 - 17 + 3 as y + v*o and give v.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(2*sqrt(4)))\/((sqrt(242)*-2 - sqrt(242) - sqrt(242)) + sqrt(242)) + -1 + sqrt(175) + -5 + 3.\nAnswer: -3 + 329*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 69 = 3*z, -3*z + 2*m - 66 = 4*m. Let o = -25 - z. Let y be o + 11 - 3*-1. Solve 3*c = -0*c + y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*n + 167*n - 23760 = 0. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -23. Suppose -2*h + 3*h = a. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/42 - 12\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = d - 12, 3*d = 2*y - 3 + 9. Suppose -5*w + 75 = -d. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 240, 238, 236, 234?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2119209 is divided by 353196?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:52 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 234 = 14*y. Put y, 0, -4 in ascending order.\nAnswer: y, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139141 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: Let z = -168 + 186.6. Let s = -19 + z. Which is the second biggest value? (a) 0 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 199. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, 6.\nAnswer: -24, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 0.08, 5944\/15 in increasing order.\nAnswer: 0, 0.08, 5, 5944\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = u + 4*r, -r - 110 = -5*u - 3*r. Suppose 10*m + 144 = u*m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 33. Let j be d(10). Suppose -795 = -j*g + 2*g. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 7*y**2 - 7*y + 8. Let c be t(6). Suppose 2 = 3*x + 11, 4*r = c*x + 26. What is the second derivative of -3*p**4 + r*p - 8*p - p**4 wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -52*o**4 - 6*o + 11*o + 2*o**5 + 2*o**5 - 112 + 110*o**3 - 412*o**2 + 110*o**3 + 347*o = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1211121892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**0\/((i*i**(-4))\/((i*i**(-1\/9))\/i))*(i*i**(-4))\/(i\/(i*i**(-5))*i)*(i**(2\/5)\/i)**(-19) assuming i is positive.\nAnswer: i**(238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*v - 561 - 141. Let r(i) = 5*i**2 - 51*i + v*i + 25*i. Let m(u) be the third derivative of -u**5\/30 - u**2. Determine r(m(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.8 - -10.5. Let b = -7.3000073 - g. Round b to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52058, -208348, -468866, -833618, -1302610, -1875848?\n\"Answer: -r**3 - 52108*r**2 + 41*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4208 divided by -2104\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6553 = 44*x - 43161 - 48004. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-14\/5)\/g*g*g*g\/((g\/(g*g\/g**(-2)))\/g)*(g*g*(g\/g**13)\/g*g)\/g**(2\/29))**(-3\/20) assuming g is positive.\nAnswer: g**(2553\/2900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*-12*(-65)\/208*10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2605.6102 - -5.3102. Round l to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0.7, -2\/13, 1\/6, 674, 3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2 + 3*j - 2. Suppose -7*w + 2*w - 4*u + 32 = 0, -7 = 2*w - 5*u. List the prime factors of k(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 25*w + 48. Let s be z(11). Solve -30 - s = 9*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 40661\nAnswer: -2\/40661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + 12 + 5. What is the common denominator of 1*(-4)\/24*(-231)\/o and 19\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302007317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 699752.1 micrograms?\nAnswer: 0.0000006997521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -0.30526\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -283*z**6\/30 + 5575*z**4\/24 - 6194*z**2. What is the second derivative of l(w) wrt w?\nAnswer: -6792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(14\/3927*17)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*b**3*p**2 + 88564*b**3 + 126256*b*p**2 + 3*b*p - 2*b - 2*p**2 - p wrt b.\nAnswer: 372*b*p**2 + 531384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v**(1\/7)*v)\/v*v**(-9)*v**(3\/5)\/v*v*v**(-2\/11) assuming v is positive.\nAnswer: v**(-2864\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 8686*a - 8700*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -2 + 26 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*l - 1 = -4, -4*l = 5*x + 4. Suppose -17 = -0*b - 4*b + 3*y, -b + y = -4. Let u be 2\/15*(x + b). Is u at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - 515\/(-206)*(-32)\/(-10). Is -6\/6551 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 3*q - 4. Let a be x(-2). Does 22 divide 3024\/60 - a\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + 4 + 2*sqrt(242)*6)**2 + 2.\nAnswer: 2112*sqrt(2) + 34914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeelle. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42772 divided by 578\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*f - 18579*f**2 + 18579*f**2 + f**3 to the form m*f**3 + z*f + b + k*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8691835281 + 72?\nAnswer: -8691835209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -304 + 569. Let c = b - 264.9823. Round c to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272.3 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14512 (base 6) to base 14.\nAnswer: bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -0.19, -2\/5 in ascending order.\nAnswer: -103, -2\/5, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 4*y**3 - 17*y**2\/2 - 10*y. Let m be f(8). List the prime factors of (0 - 1) + m\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by ((-1 - 2) + (-24)\/(-3))*11.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(1 + 0 - 3)*(41*i**2 - 47*i**2 - 232*i**2).\nAnswer: -952*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 1, u: 1, j: 4, z: 3, n: 2}. What is prob of sequence zxuz?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -131447700 to the nearest 100000.\nAnswer: -131400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 6383, -5\/2 in decreasing order.\nAnswer: 6383, 0.03, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1087 - 677. What are the prime factors of m?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19532498216275\/244 - 80051398846. Let o = y + 176647. Let n = o + -6\/61. What is the biggest value in 5, -14, 4, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let u(b) be the second derivative of -b**4\/4 - 4*b - 64. Calculate -28*q(f) - 4*u(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27521986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55928.\nAnswer: 2, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 less than or equal to 1874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/5 - 83*z**3\/5 + 258*z**2\/5 - 4*z\/5 - 344\/5.\nAnswer: -(z - 2)**2*(z + 1)*(z + 86)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 23 = -5*g, -2*g + 2 = 2*v. Solve 5*y = g - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 473\/60 - 47\/6. Let f = 3347 - 46947\/14. Find the common denominator of v and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 134486?\nAnswer: -63\/134486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6851616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 9*s**2 - 2*s - 14. Let d(a) = -a**3 + 9*a**2 + a + 15. Let q(n) = 5*c(n) + 4*d(n). What are the prime factors of q(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 38. Let w be f(-4). Suppose 5*k - 19*k + w = 0. Find o such that 0 - 41\/9*o**4 + 28\/9*o**5 + 2\/9*o + 0*o**k + 11\/9*o**2 = 0.\nAnswer: -2\/7, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2 - 4*g**4 + 3*g**2 - 5 - g + 7*g**4 to the form f*g**3 + w*g + o*g**2 + l + k*g**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-2025)*-25)\/((-14)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*v - 596, -4*x = x - 3*v - 1506. Let i be ((-3)\/2)\/((-18)\/x). Solve -6*a + a - i = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52842 is divided by 151?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23711*d**3 + 4*d**2 + 4360*d?\nAnswer: -142266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18524 - 4006. What are the prime factors of y?\nAnswer: 2, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222793*q**4 + 26546.\nAnswer: 891172*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 12 - (7 - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtb. What is prob of picking 1 t and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((6 - (0 - -5)) + -10)) + -36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -1.2. What is the smallest value in 5, y, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 31*o**2 + 88*o + 35. What is the thousands digit of k(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(0 + 0 + 1) + 0 + 0 - 1 - 3 - 2 + 4)*(4*y**2 - 2 - y**2 - 4*y**2).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 114?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35824.9940519 + -35825. Round v to 4 decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24597.9 - -24598. Is y < 3955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1143 (base 9) to base 12\nAnswer: 5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23*f. Let u(p) = 96*p**2 - 14*p + 70. Let a(d) = 19*d**2 - 3*d + 15. Let i(y) = 14*a(y) - 3*u(y). Give l(i(r)).\nAnswer: -506*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1397 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 214 - ab712?\nAnswer: -ab4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 h when four letters picked without replacement from htthththht.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*j - 2*k + 3*k, -35 = j + 3*k. Let b = -6 - j. Calculate the greatest common factor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p - 9 = 5*m, 249*p + 5*m - 1 = 250*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-25*i - i - 8*i) + 10 - 10*i - 10 + 5 - 5 - 3*i.\nAnswer: 55*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 13*y**4\/24 + 5*y**3 - 28*y**2. Find the first derivative of r(s) wrt s.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**2 + 3*o. Let q(v) = -15*v**2 + 7*v + 2. Give -4*q(i) + 9*x(i).\nAnswer: -3*i**2 - i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640453\/25 at least as big as 185619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7820981.\nAnswer: 7, 29, 59, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d = 2306, 2*d - 17 + 9 = 0. What is the highest common divisor of 18 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 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: What is 11991 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*v + 3*v - 5*z, -17*v + 15*v + 24 = 4*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/8)\/((-430)\/(-344))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -888100 to the nearest 10000.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-36) - (-46)\/6. Let k = -22 - -51. Let o = -19 + k. Is t at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273c (base 16) in base 9?\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.2 (b) 0 (c) -0.5 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -93*g + 8751. Calculate the remainder when r(93) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = -i + 2*t, -t = 3. Let x(v) = -i*v + 28*v**2 + 2*v + 2*v. Let u(q) = q**2. What is x(u(j))?\nAnswer: 28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 1753844*j**4 + 192243663848*j**3 - 961256904152*j**2 + 576773084244*j + 1730271898404 = 0. Calculate j.\nAnswer: -219233, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 + -87.1. Let y = f + 3.1. Put -3\/5, y, 0, 0.6 in decreasing order.\nAnswer: 0.6, 0, -3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14*d)\/((d\/(d\/(d*d**(2\/43))*d))\/d)*(d**2)**(9\/13) assuming d is positive.\nAnswer: d**(9692\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2706135*b - 5412730*b - 3*b**2 + 2706595*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -957635, -957638, -957591, -957470, -957251, -956910?\nAnswer: -956423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(360))\/sqrt(6) + sqrt(60)*1*-5)\/((2*sqrt(24)*2)\/sqrt(2)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 65 + 29*j + 29)*(-1 + 1 + 2).\nAnswer: 58*j - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2205)\/35 - -65) + 70.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -1014, -1667, -2322, -2979, -3638?\nAnswer: -4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 3*o**2 + 3*o + 2. Let y be x(-1). Solve 5 = -y*m + 5*l, -l - 5 = -3*m + 4*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68521 is divided by 68486?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2\/9, -5\/6, 3\/43 in increasing order.\nAnswer: -17, -5\/6, 3\/43, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45683, -2, 3, -5, 0 in decreasing order.\nAnswer: 3, 0, -2, -5, -45683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493219786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -2 + 4 + 14. Let a be d\/(-6) + (-22)\/(-4). What is the closest to a in 2\/5, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y. Let x(v) = v**2 + 13*v + 2. Let t be x(-13). Let b(p) = -7 + 9 + t*p - 1 - 1. Determine w(b(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhhuu. Give prob of picking 1 u and 1 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/17, 726 in increasing order.\nAnswer: 4\/17, 0.5, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 6, o: 3, d: 1, c: 6}. Give prob of sequence jo.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 50. Let b = 2727 + -2718. Solve b*v = z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from ujujzl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24\/91 + -2\/91. Which is the closest to -2? (a) 4 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 475, -4, -13197?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 93*i**2 + 153*i**2 - 2*i**3)*(-6 + 0*i - 6*i + 4*i).\nAnswer: -2*i**4 - 126*i**3 - 360*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126037\/15 - -8408. Find the common denominator of 44\/27 and p.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*t = 17 + 8, 5*t + 25 = j. Solve u + 2*u + 9 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-72)*3 - (-8)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560864000 rounded to the nearest 1000000?\nAnswer: 561000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2. Let h(d) = -53*d + 11. Let y(p) = 18*p - 4. Let m(k) = 4*h(k) + 11*y(k). Give m(b(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 103\/3. Let w = 37.1 + -190.1. Let u = w + 153. What is the smallest value in 1, 0.3, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.8 + 5.8. Sort 5, -3, 2\/5, a in descending order.\nAnswer: 5, 2\/5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15798 minus -12199?\nAnswer: -3599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -99464*h - 4. Let m(w) = -5*w - 21. Calculate m(j(x)).\nAnswer: 497320*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4\/4 + p**3\/2 + 3*p**2 - 12*p + 12. Let s(r) be the first derivative of k(r). Factor s(l).\nAnswer: -3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -0.4, -5, -3\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.661 plus 66.01837?\nAnswer: 65.35737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31355 (base 7) to base 12\nAnswer: -4585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - d**3 - 11 + d + 6*d**3 - 10 + 17 in the form t*d**2 + x*d + o*d**3 + y and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-10)\/(b\/(b**(2\/7)\/b)))**(-2\/31))**(-31))**(13\/2) assuming b is positive.\nAnswer: b**(-1066\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1098, -1142, -1182, -1218, -1250, -1278, -1302?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-64))\/((44\/(-66))\/((-32)\/28)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25016 divided by -212.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.2469922 to one dp.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 277, -4, -8 in ascending order.\nAnswer: -8, -4, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/1 - 0\/266 - 18) + (-20)\/(-22)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2130 is divided by 434?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l + 4. Let q be g(-5). Suppose -q = m - 5*m. Let o be 7\/112*-4 + (-51)\/(-12). Solve d + 5 = -j, -2*d = -9*j + o*j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7504)\/134*(-5)\/(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 31*a**2 - 15*a - 25. Calculate u(-2).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.213 in 12, -1, -185\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1460*l**3 + 4*l + 36012.\nAnswer: 4380*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -d + 1721, 3*g + d = g + 3442. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1}. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-22)*(k\/(k**7*k))\/k)\/(k**(-13)*k\/k**(9\/7)*k) assuming k is positive.\nAnswer: k**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -180\/19, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29a (base 15) to base 5.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/13*o + 192\/13 + 2\/13*o**2 = 0.\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-88) - ((-3)\/6 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*6 + -1 + -2. Sort 0, x, 1 in descending order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 14*k + 8. Let d be m(14). Determine n, given that 138\/11*n**2 + 338\/11*n**4 + d*n - 52*n**3 + 8\/11 = 0.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -76*g - 27\/8*g**4 + 1 - 3\/2*g**3 - 1\/4*g**2. Factor o(n).\nAnswer: -(9*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 787 + 335. Calculate the remainder when 162 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188657 is divided by 223.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 4*n - 2. Let p be q(-8). Suppose -p = -5*w + 105. Suppose -5*d + 25 = 0, 6 = 2*t + 3*d - w. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(176) + 3*sqrt(176)*-2) + -1.\nAnswer: -4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*n - 101*n + 72*n + 4.\nAnswer: -160*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/25 (b) -2\/9 (c) 148.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from {t: 1, k: 5, j: 3, o: 11}.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = 3*l, -l + 3*l - 5*g - 30 = 0. Let p(z) = 0*z**3 + 6*z**2 - 3*z + 3 + 4*z - z**3. Does 11 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91\/46, -3, 0 in increasing order.\nAnswer: -3, 0, 91\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 3*o + 1. Let v be u(4). Suppose v*m - 224 - 491 = 0. Let k = 23 - 10. Calculate the greatest common factor of m and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 6\/(-171)*-60. Put 0.5, -3, v in decreasing order.\nAnswer: 0.5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-42*10\/(-360)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 != 0.0034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 + 81*k\/4 - 135.\nAnswer: -3*(k - 15)*(k - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 2*a + 4. What is the tens digit of o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15325319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -380\/3*z - 254*z**2 - 2\/3*z**4 - 128*z**3 + 0.\nAnswer: -2*z*(z + 1)**2*(z + 190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-40))\/((-213)\/(-1065))*(-8)\/714.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6 + 2 + 4 + 2 - r. Let q(a) = a - 1. Let w be -3 + (0 - (1 + 0)). Calculate w*q(k) - 2*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7108486 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040 - -1222141?\nAnswer: 1223231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7219 + 7216. Sort 18, j, -17.\nAnswer: -17, j, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 33 - 29 = 0. Suppose -399 = -5*v + 2*l, 4*l - k = -v + 62. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/144*-8*9*28\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 12. What is the remainder when 49 is divided by (-42)\/(-4) - (-15)\/m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.69532 from -190.8.\nAnswer: -191.49532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 703, 5 in increasing order.\nAnswer: -8, 1, 5, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 6. Let v be u(-6). Suppose -86 = 5*j - 5*z - 31, 5*j - 2*z + 40 = v. Find the common denominator of -45\/11 and ((-2)\/4)\/(j\/9).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55308823 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177454 less than -0.09903?\nAnswer: -0.276484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 15 = 10, 0 = 5*k + p + 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:39 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4000 and 7000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-4\/37)\/(x**(-5))**48)**(-1\/16) assuming x is positive.\nAnswer: x**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k - 20 = 0. Let v be ((-35)\/(4725\/243))\/(2\/(-10)). Suppose -i - v = -2*i + 5*p, 24 = 5*i - k*p. Solve 4*y = -4, -16 = -i*j + 3*y + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x + 30. Let a be v(19). Which is bigger: a or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 1 + 0 - 2 to the form r + c*o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -28 (b) 2\/7 (c) -100\/9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039766 rounded to six dps?\nAnswer: 0.000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s**2 + 37*s - 9. Calculate a(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -20 + 1\/9*u**3 - 16\/3*u**2 + 256\/3*u. Factor v(f).\nAnswer: (f - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 28*s**3 - 5*s**2 + 3*s**2 - 27*s**3 - 4*s - 5. Let j be a(4). What is the first derivative of -6 + 4*d - 4*d + j*d - 3 wrt d?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 77, -2\/5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 63*t - 452. Calculate v(-56).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15*o - 806. Give g(-1).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/16 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**3 + a**2 - 5*a - 3. Let m(p) = 29 + 3*p + 31 + p - 1. Let r be m(-16). Let z(q) = -q - 1. Give r*z(w) + d(w).\nAnswer: -4*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 58386 + 29197 + 29189 + 3*i. Let c(w) = -2293*w**2. What is c(b(a))?\nAnswer: -36688*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -60, -142, -296, -546, -916, -1430, -2112?\n\"Answer: -4*l**3 - 6*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l - 6. Suppose 3*z = 5*y - 256, 0*z = -2*z - 4. Let b = -67 + y. Let d(t) = -3*t - 2. Determine b*d(h) + 6*j(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*f = l - 17, 5*l = 2*f + 52. Suppose 3*u = 3*n - 78, -n - 2*u + u = -28. Suppose l*t - 53 = n. What is the remainder when 31 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019 divided by -20779?\nAnswer: -3019\/20779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - c + 3*c = 8, 2*t = 3*c + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -298, -298, -310, -340, -394, -478?\n\"Answer: -u**3 + 7*u - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = 3*j - 5*v, v + 1 = -5*j. Suppose 3*n + x - 43 = j, n = -2*x + 3 + 8. What is the remainder when 132 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 1702*w + 46878. Give l(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 + 642 + 24 = -91*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/8 - 169*g**2 + 57122.\nAnswer: (g - 26)**2*(g + 26)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-6)*t*t)*t)\/t**(2\/9)*(t\/(t\/(t*t**2)))\/t**(-4) assuming t is positive.\nAnswer: t**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 14) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose m = -s + 14. What is the remainder when 39 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 16*i**2 + 2*i - 30. Let o be t(5). Solve -3*s + 6*j = j + 2, -6 = -o*s - j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-8)\/304*1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, n: 2, z: 1}. Give prob of picking 1 m and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1080 - 27?\nAnswer: -10a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 2, n: 1, b: 3, y: 3, d: 1}. Give prob of sequence mn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 1\/4*j**2 + 33\/4 - 7\/2*j = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 39*u**2 + 19*u + 100. Let x(t) = -t**3 + 13*t**2 - 6*t - 33. Let a(h) = 3*m(h) + 8*x(h). Let o be a(12). Let q be 2\/(-7) + 24\/133. Is q < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqci when four letters picked without replacement from {q: 3, c: 5, i: 1, x: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -g - l - 411, -3*l + 114 = 5*g. Let k be 0 + 1 + 1 + -2. Suppose -5*r + 15 = -k. Solve -5*s + g = m, s = r*m + 6*s - 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27.878918 and 88.4?\nAnswer: 116.278918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -1, 2767\/5, -0.2, -5, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 8. Let w = v - -74. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.3. Let j = -0.29 + -12.71. Let n = -12 - j. What is the nearest to -2 in n, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.06 - 0.06. Let h = -7.4 + j. Let m be (-4)\/16*(0 + -1). Which is the third smallest value? (a) h (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 9*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3\/6 + 11575*d**2\/6 + 23195*d\/2 + 34815\/2 = 0. Calculate d.\nAnswer: -3, 2321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28896656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237218 and 128?\nAnswer: 15181952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*t - 256 = 0, -2*u + 5*t + 434 = u. Let c = u + -94. Let l = 86 + c. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 6)*(105*s**2 - 200*s**2 + 97*s**2 - 11378*s).\nAnswer: 4*s**2 - 22756*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1703 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 147 - 48 = 4*l, -2*l = 3*b + 85. Let n be (2*3)\/((-675)\/l). Find j such that -2\/9 - 2\/9*j**2 - n*j = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Is 2*(j + -1)\/2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - g**3 - 6*g**3 - 2*g**3 + 3*g**3 + 4*g**3.\nAnswer: -2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 - 3648*a**3 - 135220*a**2 - 1224816*a = 0. What is a?\nAnswer: -19, -17, 0, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-52)\/(-8)*-6. Let z = t + 44. Suppose -z*y = -2*l - 150, -y = 2*l + 2*l - 30. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 5. Let l = -12 + 15. Let c(u) = -2*u + 4. Calculate l*g(x) + 4*c(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*-3 + 1. Let l(k) = -k - 3. Let x(q) = -52 - 61 + 111. Calculate g*l(h) - 4*x(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 510 = 21*z - 195. Solve -44 = 3*b - z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/5 of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*g + 822 + 1419 = 0. Let k(j) = 6*j**3 + 5*j**2 - 2*j. Let d(s) = -13*s**3 - 11*s**2 + 5*s. What is g*k(p) - 4*d(p)?\nAnswer: -2*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -116. Let j(f) = -4*f**3 + 2*f**2 - f + 2. Give j(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1024.274 - 1003.6. Round z to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 + -74. Let b be ((-3)\/(-11))\/(m\/4). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 54. Let r be n(-17). Let c = r + 19. Let d = 145 + -80. Calculate the remainder when d is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l = 23485847 + 14829533. What is l rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -18*z + 14*z. Let j be (5 + z)\/(2\/(-89)). Let k = -95 - j. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**2. Let d(h) = -5*h**2 + 7*h + 6. Give d(k(o)).\nAnswer: -180*o**4 - 42*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/2 - 93018*w**3 - 1918227177*w**2 - 13061180815386*w + 3868972369407165\/2.\nAnswer: -3*(w - 145)*(w + 20719)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3474 (base 10) in base 7?\nAnswer: -13062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6027 divided by -57?\nAnswer: -2009\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*y - 29, 2*x - 5*x = 4*y. Solve 0 = -4*z + 4, 5*z - 12 = -x*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)\/(w*(w\/w**(-2))\/w*w))\/(w*w**2*w*w\/(w*w\/(w**5\/w)*w)) assuming w is positive.\nAnswer: w**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38214228 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g + 18. Does 11 divide ((-44)\/g - 0)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 688338.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*t. Let g(r) = -3*r + 32. Let y be g(11). Let m = y - t. Solve -c - 4*b = 4 - 21, m = 5*c - b + 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1339059116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 187759620*n - 1762683745127220.\nAnswer: -5*(n - 18775962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 4. Let t(a) be the third derivative of -a**5\/60 - 7*a**4\/12 + 3*a**3 + 7*a**2. Let j be t(-15). Calculate p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 84, 89?\n\"Answer: 5*n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 15*h + 26*h - 2*h**3 - 14*h + 3*h**2 as n*h**2 + c + y*h**3 + i*h and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133177360 and 1840?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 + 183. Put -2, -1, x in increasing order.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21347, -42723, -64123, -85541, -106971, -128407, -149843, -171273?\n\"Answer: b**3 - 18*b**2 - 21329*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a - 20. Let b be ((-376)\/12)\/(-2) - (-4)\/(-6). Suppose -b = 2*u - 5*c, 0*u - 2*u - 5*c = 45. List the prime factors of g(u).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1282813*m**5 + 3*m - 427792?\nAnswer: 25656260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8)*424\/159. Suppose 0 = -j + f*k + 352, -14*j = -16*j - 3*k + 669. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*i**4 - 161480*i**3 - 224801916*i**2 + 23316319520*i + 3335490112 = 0. What is i?\nAnswer: -2932, -1\/7, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -104467, 3 in descending order.\nAnswer: 76, 3, -104467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 467640 and 292275?\nAnswer: 2338200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + 2. Let o = h - 29. Let w be (120 - 0)\/(o\/(-280000)). Round w to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehnedfnndne. Give prob of picking 2 n and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 10*f + 24. Let m be q(11). Let g(n) = -n**2 + 16*n - 18. What is the units digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktataaccaaattmacmtm. What is prob of picking 1 c, 1 t, and 1 k?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35517\/803285 + 13\/295. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/59, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, -2\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 3. Let z(a) = 4*a - 4. Determine 6*q(d) + 7*z(d).\nAnswer: 4*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 5*w - 1. Let n(f) = 10*f**2 + 24*f - 6. Determine 2*n(k) - 11*u(k).\nAnswer: -2*k**2 - 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.062, 0.1, -2\/7, 0 in descending order.\nAnswer: 0.1, 0.062, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/3 - a**4 + 13*a**3\/3 + 5*a**2 = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -526, 3, 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 9*n)*((-1 + 3 + 0)*(-2 + 0 + 3) - 4 + 0 + 2 - 7 - 14 - 6 + 1 - 1 + 1 + 1 - 4 + 2 - 3 + 2 + 0).\nAnswer: -252*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16510026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7739, -1730, 8285, 22306?\nAnswer: 40333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**3 + 5*u**2 - 7. Let n(x) = 5*x**3 + 2*x**2 - 3. Let i = 34 + -38. Let r = -101 + 181. Suppose 5*v + 35 - r = 0. Give i*m(t) + v*n(t).\nAnswer: t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -27*s**3 + 3*s**2 - s - 6. Let v be k(-2). Suppose -3*f + 148 = -2*d - 15, -v = -4*f - 4*d. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w**2 - 3*w + 2. Let a(x) = -x**2 + x. What is -3*a(q) - b(q)?\nAnswer: -8*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 48. Solve 0 = -2*c - b + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147513179*l**2 - 131868792*l?\nAnswer: -295026358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80 + 83)\/(7\/4 - 1). Suppose y*c + d - 141 = 0, -11*c + 93 = -8*c + 5*d. Which is bigger: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/4 + 3*y**3 - y**2\/2 + 11*y + 34. Let z be n(9). Solve i + 4*k = 25, 15 = -z*i + 4*k + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:05 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1218*u**4 + 2403 wrt u.\nAnswer: 4872*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*r**4 + 35*r**4 - 140*r - 74*r**4 + 0*r**3 - 6*r**2 + 0*r**3 in the form p*r**2 + w + b*r**4 + y*r**3 + t*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5988851*k**2 + 6923487 wrt k.\nAnswer: 11977702*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 33*w - 1148. Let u be j(35). Solve k + 1 = u*p - 6*p, -5*k = 2*p - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 - 105*n - n**2 - 1\/6*n**3. What is m(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let j(n) = 35*n**2 - 5*n. Calculate j(m(w)).\nAnswer: 35*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 264\/(-9)*(-45)\/20. Suppose 0*d + 4*d + 104 = 4*p, -3*p - 3*d = -b. Suppose 0*v - 2*h = -v + p, 0 = 3*v + 4*h - 52. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8455 - 8404. What is the smallest common multiple of 1751 and n?\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18866845 + -100?\nAnswer: -18867045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259405108 by 45686.\nAnswer: -5678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l = -52*l + 33. What is the remainder when 266 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -29. Let k be (81\/12)\/9*2*2. Suppose -143 + 572 = k*m. Calculate the greatest common divisor of y and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-3*sqrt(374) - sqrt(374)) + sqrt(374))\/sqrt(11))\/(-6*-4*-3*sqrt(2)).\nAnswer: -7*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by -125?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 183*v**2 + 176*v**2)*(0*v - 2*v - 4*v).\nAnswer: -2154*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 - q**2 - 9*q - 18. Is c(6) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 1. Let k(i) = -7*i - 8. Calculate -2*c(d) + k(d).\nAnswer: -5*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6209 and 3682.\nAnswer: 3265934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1308?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-21 - -7)) + -5 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -1. Let l be (8\/w)\/2*-1293. Let g = 754 + l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10703 and 31136?\nAnswer: 342496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*2*1*4.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5807027513.\nAnswer: 7, 19, 227, 192343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3293*m**2 - 35*m - 25. Give v(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:18 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603776 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/6 + 2\/3. Let j = -5 - m. Let z be (-2)\/(-8) + 30\/8. Solve 13 = j*g + 3*n, -3*g + 10 = z*n - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyvc when four letters picked without replacement from qyvqyypvvcvyypvyq?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000949 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1+27264021\nAnswer: 27264022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7)\/(o\/o**7))\/((o\/(o*o*o**(1\/2)))\/o**(-1\/14)) assuming o is positive.\nAnswer: o**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + j = 3, 0 = u - 3*u + 3*j + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30004768*u - 10728759 wrt u?\nAnswer: -30004768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(180) + sqrt(45).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 4 + 2 + 0*m**3 - 2*m - m**3. Let a be g(-2). Let q(p) = -p**3 - 39*p**2 - 164*p + 33. Let f be q(-5). Solve -f*j = -5*j - a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d - 71 = -4*t - 20*d, 0 = -4*t + 4*d + 80. Let b = -73 + 137. What is the remainder when b is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499175 is divided by 749514.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3530 divided by -1765.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1271, -2764, -4253, -5738, -7219?\nAnswer: -8696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49711+-152166.2\nAnswer: -102455.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, -4, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18652 - 18726.99. Round t to the nearest integer.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -3\/49195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/3)*v)\/(v\/(v*v**5))*v**(-6)*v*v**2 assuming v is positive.\nAnswer: v**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 395 - 1041*b + 264*b - 392 - 927*b to the form m + u*b and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 22236?\nAnswer: -22246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5471 divide 2391302977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140948.\nAnswer: 2, 167, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 44, -10007 in increasing order.\nAnswer: -10007, 5, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**6\/60 - h**3\/6 + 4*h. Let q(v) be the second derivative of n(v). Let o(t) = t**2. Give o(q(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*c**4 + 2*c**3 - 1474*c**2 - 13294083*c?\nAnswer: -1704*c**2 + 12*c - 2948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -1534, -2318, -3120, -3946?\nAnswer: -4802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001645 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 1:56 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 + 2415*i**3 + 14409*i**2 + 21585*i + 9588 = 0. Calculate i.\nAnswer: -799, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/863 in 0.5, 2\/5, 2, 9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 7*w**5\/60 + w**2 - 7918*w. Let r(n) = 2390*n**2. Calculate r(l(k)).\nAnswer: 117110*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/((a\/a**(-5\/3))\/a))*a\/(a\/((a**(2\/3)\/a)\/a)))\/(a*a**15)**(-14) assuming a is positive.\nAnswer: a**(673\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 20900*n\/3 + 109202500\/3.\nAnswer: (n - 10450)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 3*f**2 - 3. Let s be (-3)\/(-9) + (-10)\/3. Let o = 7 - 8. Let m = 3 + o. Let l(v) = -2*v**3 + 2*v**2 - 2. Give m*h(b) + s*l(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -135*h + 1395. Let l(s) = -372*s + 4184. Give 11*b(u) - 4*l(u).\nAnswer: 3*u - 1391","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.9. Let o = -60861 - -547751\/9. Which is the closest to z? (a) 29 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 + 81116*b**4 - 2*b**3 + 1788067*b - 2?\nAnswer: 20*b**3 + 973392*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**3 - 29*z**2 - 5*z + 14. Let u(m) = 38431*m**2 - 7 + 2*m**3 + m + 2 - 38421*m**2 + 0*m + m. Give 4*d(k) + 11*u(k).\nAnswer: -2*k**3 - 6*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6. Put -0.2, j, -1\/10, 2\/7 in increasing order.\nAnswer: j, -0.2, -1\/10, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967.33kg in tonnes?\nAnswer: 2.96733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(4 - 4 + f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*t = -349*t + 39. Let n be (t - (-85)\/20) + (-2)\/8. Is n < 1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*i + 3 - 7, -3*i - 6 = -2*w. Suppose w = 158*y - 163*y + 90. Calculate the remainder when 50 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 14. Let i = -135 - -126.2. Let w = i - -8.8. Which is the closest to w? (a) -3 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2784 + 1460*n**3 - 2784 + (0*n**2 + n**2 + 0*n**2)*(0*n - 2*n + n) + 2 - 2 - 2*n**3 + 4*n**3 + n**3 - 4*n**3.\nAnswer: 1458*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c**2 + 69*c + 151 - 47 - 56 - 69*c - 48.\nAnswer: -43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 390962479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19991207?\nAnswer: 1987, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*x + 9 = 0, -4*a + 11 = -a - x. Suppose -4 = a*r - 0. Find the common denominator of r\/6*1*-101 and -4\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*x + 1. Suppose -x*u + 10*u = 55. Let k = u + -8. Solve 5*o - 3*n - 16 = n, o - k*n = 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12495 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let j(f) = -162*f + 14. Let g(i) = -81*i + 6. Let w(b) = 5*g(b) - 2*j(b). What is k(w(t))?\nAnswer: -6561*t**2 + 324*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190903450 is divided by 992?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -10*o**3\/21 + 3*o**2\/7 + 4*o\/7 + 201. Factor m(u).\nAnswer: -2*(u - 1)*(5*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 12 = 0. Let d = -54 + 24. Is 55*i*(-4)\/d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126144 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*w**2 - 12*w - 1525*w**3 + 3064*w**3 - 1537*w**3 - 6864 wrt w?\nAnswer: 6*w**2 - 24*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**2 + 548123*s + 4083973?\nAnswer: 4*s + 548123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**3*x**3*y**3 + 7*o**3*x**3*y**2 + 12*o**3*x*y**2 + o**2*y + 592*x**3*y**3 - 4*x**3*y - y wrt y?\nAnswer: -24*o**3*x**3 + 3552*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 792854889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*j + 24, -2*i - 2*j - 8 = -20. Suppose 3*x - 3 = -f + i, 2*f - 2*x + 22 = 0. Let b = -4 - f. What is the least common multiple of 7 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23979102 and 219696?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 - 284*g**3 + 5952*g**2 - 33984*g = 0.\nAnswer: 0, 12, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + sqrt(70) + (sqrt(70) - (sqrt(70) + (sqrt(70)*1 - sqrt(70)))*-3)))\/(-2*sqrt(640) - sqrt(640) - sqrt(640)).\nAnswer: 5*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*q - 1 - 13, 0 = 3*k - 694*q + 696*q + 49 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15606326.8 to the nearest 100000.\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0.6316?\nAnswer: 0.6316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(833) - (1 + sqrt(833) - sqrt(833))) + 5 - 2*(sqrt(833) + 2 - sqrt(833)))*5)**2 + 2.\nAnswer: 20822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 9 + 14*j**3 + 0 - 1 + 1.\nAnswer: 13*j**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6575737 litres to millilitres.\nAnswer: 657.5737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. What is the remainder when (12\/10)\/((-4)\/(-30)) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943492817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 498 + -309. What is the second derivative of -26*k**5 - 189*k**2 - 15*k + x*k**2 wrt k?\nAnswer: -520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 4*f - 22 = 15*d, 5*d - 6*f - 39 = 0. Solve -d*y = -2*w - 4, -2*y - 2*w + 21 = -7*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 + 2*u - 6. Let o be a(3). What is the remainder when 86 is divided by -2 + o\/(-3) + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7199099 is divided by 855.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = -4. What is the units digit of 97\/a - (-10)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -364 - s + 184 - s**3 + 180. Determine b(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-56))\/((-65)\/2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) -7.67 (c) 2 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.01, 2, -2, 0.2 in increasing order.\nAnswer: -2, -0.01, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9*t + 276 = 17*t. Solve -333*d - t = -329*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/((-80)\/111)*24\/18 and 51\/(-117) + 2\/(-6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -442929.08 and -2.\nAnswer: 885858.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466089899?\nAnswer: 11, 42371809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0, -25, -1 in increasing order.\nAnswer: -25, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(176) - (-2*-4*sqrt(176) + sqrt(176))) + (-3 + sqrt(176))*-6)**2*3.\nAnswer: -36288*sqrt(11) + 626760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2165 = -2007*q + 1817 + 6369 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 392.38661 to 0 dps.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*t**2 - 6 + 6)*(2 - t - 2)*(-1 + 1 - 2*t).\nAnswer: -82*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jjjjxjjjxjjjj.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 135 (b) 5 (c) 0.17 (d) -1\/2 (e) 0.3 (f) 4 (g) 0.131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3146, -6291, -9434, -12575, -15714?\n\"Answer: z**2 - 3148*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 4. Let f = 36 - 38. Let y be g(f). Suppose 0*v - y*v + 2*r = -52, -v - 3*r = -27. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/7)\/((1\/77)\/(204\/2244)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 43*s**2\/2.\nAnswer: -s**2*(s + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {h: 3, s: 1, l: 3, u: 5, g: 4, o: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*m - 15357 + 4207, 5*u = -m + 11125. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 201\nAnswer: -4\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -3 + (32 - 23) + -12 + (8 - 4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63101\/39 - 1618. Let c = 2\/45 - -28\/45. What is the closest to d in 0.3, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1227 - -1255. What is the lowest common multiple of q and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b + 2. Let s(w) = 4*w + 2. Let c(y) = 2*i(y) - 3*s(y). Let v be 68\/(-20) + -4*(-1)\/10. Let p be c(v). Solve -5*d + d = 3*u + 16, p*d = u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let w = 94 - 27. Suppose -d - v = -w, 0 = -l*d + 3*v - 0*v + 254. Calculate the remainder when d is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 152*g**3 + 20*g**2 + 4. Let u(w) = -51*w**3 - 6*w**2 - 1. What is 3*p(s) + 10*u(s)?\nAnswer: -54*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) 3 (d) 1\/13 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2550 and 3167270.\nAnswer: 47509050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*m = -19*c - 1087 + 214, -61*m + 51*m + 148 = -2*c for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/3 + 10*c**4\/3 + 8*c**3 + 2*c**2\/3 - 23*c\/3 - 4 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + -1 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h + 1. Let b be w(4). Let a be (65\/(-15))\/(11\/33) + 7\/(-1). Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -1001?\nAnswer: 30.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1332ml in litres?\nAnswer: 0.0161332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/(-7) + (-6)\/21. Let d = 483 - 2518\/5. Let m = 819\/40 + d. What is the closest to m in 0.4, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -39*h**2. Let s(u) = 2*u + 54. Determine x(s(g)).\nAnswer: -156*g**2 - 8424*g - 113724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-7))\/w*w*w)\/w*(w*w*w**(-2\/39)*w)\/w*(w\/(w*w**(9\/4)\/w))\/(w\/(w**(-8\/5)*w)) assuming w is positive.\nAnswer: w**(-5383\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000964743604 rounded to 6 dps?\nAnswer: 0.000965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -26 + (36 - 11)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 3 + (7 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115494397?\nAnswer: 115494397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -213 (b) -10\/9 (c) -0.3 (d) 34\/7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396.01 + -8.01. Which is the closest to u? (a) 0 (b) 1\/6 (c) 2 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*17.9.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4805*v**3\/3 + 928295*v**2\/3 - 59845*v + 2895.\nAnswer: -5*(v - 193)*(31*v - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 45. Let l = 239 - 232. Calculate the remainder when d is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-8)*(-38)\/(-3) - -2. Let a = 17 - h. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzd. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.9616 tonnes to milligrams.\nAnswer: 908961600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 0.4 (b) 3 (c) 2.3 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343 + -347. Which is the nearest to i? (a) -4 (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*p - 9*p + 104*p.\nAnswer: -154*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14486 - -36666. List the prime factors of h.\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088 and -359157.\nAnswer: -31605.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*s - 110. Suppose 0 = 2*y + 5*w - 41, -3*y - 2*w + s = -28. Let t(l) = 3 - 5*l**3 + 9*l + 7*l**2 + 4*l**3 - 2*l. What is t(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-4\/9)*(n\/n**(1\/2))**(-43) assuming n is positive.\nAnswer: n**(-1951\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*w + 5*w + 13, 3*w = 2*j + 1. Which is smaller: j or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = 12 + 56 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nniii. Give prob of sequence nin.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(32\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -52743*b. Let v(r) = 30*r. Give q(v(j)).\nAnswer: -1582290*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 26513005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a - 2*a + (0*a - 2*a + a)*(1 - 5 + 2) + 0 + 0 + 2*a + 2*a - 5*a + a)*(-6 + 1 + 4)*(-143 - 318 - 82) - 8*a - 17 + 17.\nAnswer: 535*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*r - 26. Suppose -3*l - l = -o - 18, 4*l = -r*o + 6. Let b be (-4)\/4*o\/2. Are 0.1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/3 - 103*v**2\/6 - 667*v\/6 - 154\/3 = 0.\nAnswer: -44, -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 279, 559, 839, 1119, 1399, 1679?\n\"Answer: 280*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + -2.69. Let q = 1.5 + 0.5. Which is the biggest value? (a) q (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (5 + (0 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10 - (-6)\/5. Suppose -2*s - 4*y = -8 - 110, 5*s - g*y - 247 = 0. Let d = -1 + s. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-36)*3\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000253763355 to seven decimal places.\nAnswer: -0.0002538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22121 + 2?\nAnswer: -22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)*o**(-4))\/(o\/o**0)**(-39)*(o\/o**(1\/2))**(2\/3)*o\/(o**(-2\/3)\/o*o)*o**(-2\/21)\/o assuming o is positive.\nAnswer: o**(691\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/2)\/((-3)\/1217). Suppose -h = -2*g - m, -4*h + 3414 + 1418 = g. What are the prime factors of h?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.49 times 5\nAnswer: -37.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451288.\nAnswer: 2, 19, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 20*v - 184. Is (6\/v - 0) + (-686595)\/(-84) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 55?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -993*i*r*s - 84*i*r + 1970857*i + 9*r*s + 10*r + 49*s wrt r.\nAnswer: -993*i*s - 84*i + 9*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -156970, -156974, -156996, -157042, -157118, -157230, -157384, -157586?\n\"Answer: -n**3 - 3*n**2 + 12*n - 156978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149450669 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3 - 33982*r**2 + r - 831185 wrt r.\nAnswer: -3*r**2 - 67964*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 0 + 2 + 4*n - 3.\nAnswer: -25*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guuhuhuuuhhhhnuhuu. Give prob of sequence hun.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/11)\/((w*(((((w\/(w\/(w\/(w*w**(20\/7)*w*w))))\/w)\/w)\/w)\/w)\/w)\/w*w))\/(w**(1\/5)*w\/(w**(-6\/7)*w*w)) assuming w is positive.\nAnswer: w**(494\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56.81 - -0.99. Let j = a - 58. Which is greater: 17 or j?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 45*m + 2 + 41*m)*(4*m**2 + 4*m**2 - 2*m**2).\nAnswer: -24*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-94 - -41) + -18?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 2, -75918 in increasing order.\nAnswer: -75918, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Suppose 0*k = -k + 11. Calculate the least common multiple of n and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17236*r**3 + 2*r**2 - 406911 with respect to r.\nAnswer: 51708*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11965446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*b + 16, 0 = -2*m - b - 3 + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2\/11, -46, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 2\/133, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 14. Suppose 1 + 11 = 4*h + w, 5*h - 3*w - 32 = 0. Let x = h + -1. What is the greatest common factor of x and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 3*w**2 + w**3 - 43*w + 147*w - 45*w + 4*w**4 - 53*w - 1 in the form f*w + m*w**2 + i*w**3 + r + v*w**4 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -0.3 (c) 0.13 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 28*u**3 - 165*u**2.\nAnswer: u**2*(u - 33)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9735957, -9735956, -9735955, -9735954, -9735953, -9735952?\nAnswer: -9735951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*f*p + 2*c*p**3 - 2*f*k*p - 4*f*p**3 - f*p - 10*k*p**3 - 4*k with respect to f.\nAnswer: -2*c*p - 2*k*p - 4*p**3 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ell when three letters picked without replacement from {y: 2, l: 2, a: 1, e: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*x + 1103 + 29389, 38119 = -5*j + 3*x. Let p be (-1*j\/(-3))\/((-8)\/384). Round p to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/136 and -151\/36?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 861606662786.4 take away -47?\nAnswer: 861606662833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56895664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/155197 and -36\/110855.\nAnswer: 775985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {a: 1, g: 4, d: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9757367 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*(p**(-8\/9)*p)\/p)*p**12)\/((p\/(p\/(p\/(p*p*p**(1\/4)\/p))*p))\/((p**(-3\/2)*p)\/p)))**(-50))**(4\/7) assuming p is positive.\nAnswer: p**(-3250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 23*t**2 - t**3 - 1551223 + 17*t + 1551159. Give h(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*q - 28*q - 42*q + (2 + 2*q - 2)*(336 - 545 + 329).\nAnswer: 187*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/21 and -109\/119070.\nAnswer: 119070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2939*f + 703. Is t(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 6*sqrt(132)*1 + sqrt(132) - sqrt(132) - sqrt(132))\/(sqrt(12) - (sqrt(12) - 2*sqrt(12)*2)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 0.1 (c) -2\/9 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -34*a + 2. Let p be o(-1). Suppose -5*u - 2*z = -100, -5*z - 52 = -4*u - z. Calculate the highest common factor of p and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/416050 and 82\/1203405?\nAnswer: 637804650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 3\/4*j**4 - 3*j**3 + 0*j**2 - 3 + 0*j. What is the third derivative of x(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**21\/u**14*(u**(-29\/3)*u)**(-44) assuming u is positive.\nAnswer: u**(1165\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 361166 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/30 - 1255*p**4\/6 + 1575025*p**3\/3 + p**2 - 12*p + 12. Factor f(r).\nAnswer: 2*(r - 1255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 566*a**6 - a**5 - 81*a**2 - 13*a + 8. Let p(q) = -2*q**2 + q - 2. Let h(b) = -4*p(b) - v(b). Find the third derivative of h(y) wrt y.\nAnswer: -67920*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15869, 31700, 47531, 63362, 79193, 95024?\nAnswer: 110855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(567))**2*-6 - (sqrt(567) + 1)**2*3) + 2*(sqrt(112)*1 + (1*sqrt(7))**2*1).\nAnswer: -5116 - 262*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 3*c, -8*g - 2*c = -6*g - 20. Solve g*z = -t - 14, 5*z - 4*t + 17 = -2*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4055*w**3 - 2*w. Let f be o(2). Let j = -7542739041\/40 + 188600910. Let d = j - f. Find the common denominator of d and -81\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179*z**3 + 49*z**2 - 2*z + 3531?\nAnswer: -1074*z + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -143\nAnswer: -120\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from sbbdpxd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195403501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/83, -14\/9, -11\/4 in descending order.\nAnswer: 6\/83, -14\/9, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/225125 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4161925705 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 24 + 4. Suppose -5*t - b*m = -25, 4*t = -t + 3*m + 1. Let l be (-9)\/(-27)*18\/t. Let u(a) = -a**3 + a**2 + 4*a. Calculate u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 558660 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 362?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -9*d + 312. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3181491*p - 1723211 wrt p?\nAnswer: 3181491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1180 = 5*f + l, 257 = f - 5*l. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65345 greater than -65354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396181083.\nAnswer: 3, 132060361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:01 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - v**3 - 3 + (4 - 2 + 6)*(2*v**3 + 4*v**3 - 5*v**3).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 3 = -6*x - 4*f, 0 = -3*x + 5*f - 6. Solve 5*d - x*d + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 759\/108 + -7 + (-335)\/(-2412)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 2. Let x be -1*(-489)\/((-6)\/n). Let m = 1792\/11 + x. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s**4 - 4*s**4 + 0*s**4 + (-s**3 + 0*s**3 - 2*s**3)*(0 + 0 - 2*s) to the form x + j*s + a*s**4 + d*s**2 + v*s**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 39 - 15*g**2 + 546*g**2 - 2*g + 39 in the form v + h*g**2 + b*g and give h.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -21, 2\/11, 22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55375 at least 1716640\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 3 - 14 + 6*z. Let n be v(13). Suppose 835 = 2*h - j - n*j, -1630 = -4*h - 2*j. What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*j**5\/7 + 38805*j**4\/7 - 539181*j**3\/7 + 122481*j**2 - 36078*j - 104472\/7 = 0. Calculate j.\nAnswer: -1451, -2\/9, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/72964 and 169\/4815624.\nAnswer: 4815624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 11*y + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/36)\/(((-143)\/22)\/(-13)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 83*b - 638. What is r(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/15)*(r*r**(1\/19)\/r)\/r*r**(3\/5)*r*r**(-11)*r assuming r is positive.\nAnswer: r**(-2417\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((5 - 15\/5) + 3). Solve 0 = -m - d + 6, -5*m + 10*d - 20 = z*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*n + 159*n = 55. Let x(t) = -7*t**3 + 11*t**2 - 4*t + 12. Let f(o) = -19*o**3 + 32*o**2 - 12*o + 35. Let l(i) = n*x(i) - 4*f(i). Determine l(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from grgg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.144 - 3.944. Let d = 2.8 + k. Which is the nearest to -0.1? (a) d (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -770 + 12?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10822 in 4, -4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1754*s**2 + 1 - 3517*s**2 + 1764*s**2. Let x(j) = -9*j**3 + 4*j**2 + 5. Determine 4*p(g) - x(g).\nAnswer: 9*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, -3\/34, 3\/2, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 39*a**2 - 52*a - 118. Is j(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32d (base 15) in base 14?\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*r**2 + 47 - 91 + 39*r**3 + 47 as h + w*r**3 + b*r + f*r**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1295, 5137, 11531, 20471, 31951, 45965, 62507?\n\"Answer: -u**3 + 1282*u**2 + 3*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -618360504*n - 220803207.\nAnswer: -618360504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - -42. What is the remainder when y is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -29, -46?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-33))\/(5\/(-15))*-2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84900067 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -25.22. Let y = -0.52 - w. Let k be (0 + 2 + -5)*62\/93. What is the third biggest value in k, y, -2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:01 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-583)\/15 - (8 - 1062\/135). Let x = -35 - g. Let p be -6*((-21)\/9 - -1). Solve -4*q + x = -p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i + 6. What is g(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -42342*v + 128214. Calculate q(3).\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 2.1 (c) -4 (d) 0.2 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 2, o: 8, g: 5}. What is prob of picking 2 g and 1 w?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1611.437247 microseconds to weeks.\nAnswer: 0.0000000026644134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5525.1 + -649.1. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 0*b**2 - 8*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) -0.3 (c) 0.1 (d) -2\/7 (e) 0.0335\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 2*f - 6. Let p be n(2). Suppose 0 = p*o + 40 - 42. Solve 1 = c - o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 9*b**4\/2 + 2*b**3\/3 - b + 14. What is i(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 22, 28 in ascending order.\nAnswer: -4, 0.5, 22, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 49\/63) + 582\/(-2700). Suppose 0 = -2*z + 5*w + 12, 0*z = -5*z + 2*w + 9. Is k not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -11*v - 15. Let m(d) = d**2 - 3*d - 1. Let i be m(6). Factor 41*w**4 - 19*w**4 - w - 5*w**v - 5*w**2 + 6*w - i*w**4.\nAnswer: 5*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 y when four letters picked without replacement from {c: 4, y: 7, r: 7}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 8048472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990 is divided by 1537.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 10. Let k be g(2). Solve 4*l + 0 = 3*y + 1, k*l - 5*y = -9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 + 279. Which is the closest to z? (a) 0 (b) -20\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 723 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 7*m + 5. Let y be l(8). Let v be (-1)\/((-1)\/(-1 + y)). Sort 0, v, -2.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/36 and -91\/816.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -6*t. Suppose -5*i + 517 - 57 = t. Suppose -88 = i*a - 96*a. Calculate the greatest common divisor of a and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + a**2 + 10*a**2 - 5*a**2. Let n(m) = m**2. What is h(n(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 18 = -x, 0 = 15*x - 10*x - 5*n - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-16)\/h))**(-41)\/(h**(-10)*h*h\/h**(8\/5)) assuming h is positive.\nAnswer: h**(-3642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmkmmmmqqmmmmmkqmmk. What is prob of picking 2 k?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*(1\/(-10))\/(16\/256)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 168. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2353 - 1625. What is the greatest common factor of 26 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuutuuutu. Give prob of picking 2 u.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*a**2 + 581 - 35*a**4 + 31*a**4 + 25*a + 17*a**2 - 50*a**2 with respect to a.\nAnswer: -16*a**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 371*h - 738. Let c be l(2). Let k(m) = 2*m**2 + 3*m. Let g be k(-2). Solve -c*i = 8, 0 = g*r - 4*i - 6 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 6*h + 3. Let m be j(-6). Suppose -4*s + 50 - 14 = -3*u, -u + 36 = 4*s. Suppose -s*n + 16 = -n. Solve m*w - g = 20, 2*g = n*w - 17 - 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 1 - 3 + 2*o**3 - 2*o**2 - 1 - 3*o**3. Let u be c(-3). Let r = -1 - -1. Is r greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1068, 3, -6, -15, -2 in increasing order.\nAnswer: -15, -6, -2, 3, 1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 934110861 - -5?\nAnswer: 934110866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 78*r**2 - 37*r**2 + 3*r - 42*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 126*h**3 - 2*h**2 - 2. Let q(m) = 252*m**3 - 4*m**2 - 5. Let i(g) = -2*q(g) + 5*u(g). What are the prime factors of i(1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n)\/n*n*n\/(n\/(n*n**(-4\/5)))*(n*n\/n**(2\/3))\/(n\/(n\/n**(-1)))*(n**(-2\/5)*n)**22*n\/(n\/n**1)*n**3 assuming n is positive.\nAnswer: n**(356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2931 - -2930. Which is the closest to t? (a) -2\/9 (b) -1\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1046786 and -7\/152?\nAnswer: 4187144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18143000 rounded to the nearest 100000?\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*-2*7\/4. Suppose -5 = -2*k - 1. Calculate the greatest common factor of b and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-936)\/(-232)) - -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -945, -1409, -1869, -2325, -2777?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71.74169 millilitres?\nAnswer: 0.07174169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*j + 19, -11*a - 4*j = -12*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266 + 266.5. What is the third smallest value in 3, w, 2\/9, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -11*x**8\/168 + x**4\/4 - 15*x**2. Find the second derivative of w(i) wrt i.\nAnswer: -440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523350165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 263737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558 - 129 - 5*t - 19*t**2 - 181 - 124 - 124.\nAnswer: -19*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 - -54?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5291a97 + -5?\nAnswer: -5291aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336597*t + 20 = 336601*t - 2*w, -12 = -5*t - 4*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(68) - (-5*(sqrt(68)*-1 + sqrt(68) + sqrt(68)) - sqrt(68)))\/sqrt(4) + -4))**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6 - (0 + 0 - (-1 + 2))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13397 is divided by 1913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -62612, -4, 1.\nAnswer: -62612, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y. Let u = -7 + 7. Let j(z) be the third derivative of -1\/24*z**4 + u*z + 0*z**3 + 2*z**2 + 0. Give j(m(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 7. Let f be (4\/18)\/(-3 - q). Which is the second biggest value? (a) -5 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*h - 17 = 0, j + 3*h - 11 = 2*j. Let d(q) = -2*q**3 - 2*q**2 + 3*q + 2. Let w be d(j). Solve 5*p - w*p - 10 = -3*a, 0 = 2*a - 5*p - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/7 - 101191*x\/7 = 0 for x.\nAnswer: 0, 101191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:52 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85591 is divided by 323.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b**3 + 19*b**2 + 123*b + 192. Calculate g(-5).\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6250 - 6191. What is the remainder when 467 is divided by w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2476 * 0.05004.\nAnswer: -123.89904","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5494 - -2587672\/471. Is s greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*y - 2*w + 21, -2*y - 4*w = 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*l + 7, -2*z + 4*l = -4*z + 16. Suppose -35 = -19*w + 3. Find the third derivative of 4*h**z + 9*h**2 - 7*h**2 + w*h**4 wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 + 100 + -71 + -4 + -4 + 0 + 2\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 14*d - 168. Let h be (-24)\/(-42) - 5\/d. Factor h*f**2 + 1\/4*f + 0 + 1\/4*f**4 + 3\/4*f**3.\nAnswer: f*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12568687?\nAnswer: 29, 347, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4*((-3772)\/(-4715))\/((-2)\/(-10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1387, 2310, 4817, 9700, 17751?\n\"Answer: 132*r**3 - r + 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 28*v**2 - 32*v - 83. Is y(-27) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -9045\nAnswer: 2\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 152.3. Let m = r - 5.7. Sort 4\/3, 2\/5, m.\nAnswer: 2\/5, 4\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*z**3 + 3*l**3*z**2 + 2*l**3 + 284231*l**2*z**4 + 3*l**2 - 13443*l wrt z?\nAnswer: 12*l**3 + 6821544*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:22 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3121 (base 4) to base 12\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 9*b**2 + b + 7. Let o be i(-9). Let l be -2 - -4*(-1)\/o. Solve 2*u + 4*a = -a - 7, 3*u + a - 9 = l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535648.\nAnswer: 2, 3, 61, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(9\/(-81))\/(18\/540)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m - 29 = 25*m + 4*t, 3*m - 2*t = -0*t + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-15) - ((-8)\/(-30))\/2. Let j(b) be the second derivative of -b**4\/12 - b**2\/2 - 7*b. Give j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 8759.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 464*l + 33. List the prime factors of d(3).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Let g = -21 + 26. Let t(v) = 4*v - 5. Let q(u) = -u - 1. Let o(b) = g*q(b) - t(b). What is x(o(c))?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 125 = 21. Let m(x) = -x**2 + 17*x + 4. Let b be m(g). Let a(u) = 15*u**2 - u. Let p be a(1). What is the highest common divisor of b and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3 + 1 + 28092*b + 98576*b. Let n be m(-3). Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47707\/30 - 1590. Let d(v) be the second derivative of 0 + 0*v**3 + 0*v**2 + 5*v + 0*v**5 + s*v**6 + 2\/3*v**4. Find the third derivative of d(g) wrt g.\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 32. Let z = -0.185 - 16.015. Let q = z + j. Which is the closest to 0.1? (a) -3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6271256?\nAnswer: 6271256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 3)*6 + 3)**2.\nAnswer: 2016*sqrt(13) + 30393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 20\/(-1 - -3))\/((-3)\/(-4)). Solve -3*c = -6*k + m*k + 3, c + 1 = 4*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 20 + (-5)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1453792 and 11266888?\nAnswer: 45067552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 14*d - 11. Suppose l - 2*k + 7 = 0, 63 - 5 = -4*l - 2*k. Let v be y(l). Let g(c) = -c**2 + 3*c + 1. What is g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -990 - -1001. Sort 0.08, 0.2, m.\nAnswer: 0.08, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -10*r**3\/3 + 442*r**2\/3 - 500*r\/3 - 688\/3 = 0.\nAnswer: -4\/5, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1662*y. Let r(n) = -2*n**2 - 57*n. Calculate g(r(p)).\nAnswer: -3324*p**2 - 94734*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 6:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*g + 42, -5*g - 5*f = 53 + 17. Let h(c) = -5*c - 22. Calculate the remainder when h(g) is divided by 19 - -2*2\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v + 1. Calculate the least common multiple of 12 and s(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 + 139 - 9*i + 5*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -28*q + 2. Let y(i) = i - 9. Let w be y(7). Let d be l(w). Suppose 4*n - 3*n = d. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44030 is divided by 170.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13698124 is divided by 3042?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 4, -258, -3, 5.\nAnswer: -258, -7, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h + 1. Let w(s) = -59*s - 159. Let p(x) = 4*t(x) + w(x). Calculate p(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035416 is divided by 6512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -8 + 3 + -4. Sort -1.16, i, 0.2, 0.03, -2\/25 in increasing order.\nAnswer: -1.16, -2\/25, i, 0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79546 divided by -31\nAnswer: -2566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = -7*m - 2*k - 135, -4*m + k = -23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/30 and 17\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 + 14912*u**2\/5 - 119392*u\/5 + 238848\/5.\nAnswer: 2*(u - 4)**2*(u + 7464)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l - 21 = 0. Let a(v) = -v**2 + 9*v + 7. Let j be a(l). Suppose 224*f - 48*f + 126 - 654 = 0. What is the highest common factor of f and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 45 = -0*s. Suppose 1 = 2*d - 3. Suppose -d*g = -0*g - 12. Calculate the highest common divisor of s and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:46 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*a + 420*a = -8*r + 143*a + 138*a + 64, 32 = 4*r + 3*a for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -2101?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaabbabaa. Give prob of sequence abaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.46891 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13775\/13 + -1059. Suppose 6\/13*l**2 + 0*l + 2\/13*l**3 - g = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-3)*(-6)\/10. Let i = -6 - -9. Suppose 4*p = -2*g + 22, 14 = 2*p - 11*g + 15*g. Which is the third smallest value? (a) i (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 339200 to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9816 - -9813. Which is the smallest value? (a) s (b) 4 (c) -1056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjzgbeveggvgez. Give prob of picking 1 e and 2 b.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 32*s - 120 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5567*l**3 - 1179*l.\nAnswer: -33402*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + z - 3. Let d be g(0). Let i = -0.14 - -0.04. Let m = -0.6 - -0.1. Which is the nearest to i? (a) m (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91184941 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1668623 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g + 565. Determine v(40).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g - 16. Let m(x) = x**3 - 10*x**2 + 4*x + 37. Let a be m(9). What are the prime factors of k(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -35*d**3 - 7*d**2 + 20*d + 40. Give b(3).\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.237319 - -0.237. Round s to five decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, l: 3, w: 6}. What is prob of picking 1 w and 1 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 - -24473386.\nAnswer: 24473385.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, -23, -97, -71 in ascending order.\nAnswer: -97, -71, -23, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 8*n - 6. Let t(r) = -7*r**2 - 13*r + 14. Let q be t(1). Determine z(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 23, -0.5, -2 in descending order.\nAnswer: 23, 18, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, -2\/11, 0.2, 3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2*a + 6, -3*b - 3*a + 9 = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12603.\nAnswer: -1\/4201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 109, 103, 97?\n\"Answer: -6*h + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6002*m + 285560 - 254082 + 442680 for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -503b + -4?\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b. Suppose 0 = 2*s + m + 22, -3*s = s - 3*m + 24. Let k = -7 - s. Let d(i) = -26 + k*i**2 + 26. Determine j(d(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 83. What is the greatest common divisor of 144 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67378?\nAnswer: 2, 59, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upu when three letters picked without replacement from uuuokokoppokuuoouuo?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -21, -15, -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 79. Let z be 4\/(-5)*r*(-12)\/8. Find the third derivative of 3*w**2 + 28*w**2 - z*w**2 - w**4 - 2*w**4 wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/(-5)*9)\/((-1281)\/610).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/1)\/(-1*(-1)\/4*4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44765, 44761, 44755, 44747, 44737, 44725, 44711?\n\"Answer: -d**2 - d + 44767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1159 and -21\/4028.\nAnswer: 245708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 13*k + 17. Let o be x(12). Suppose 75 = -o*h + 125. What is the highest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283 - -68. What is the highest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 33 + 31 = -5*x, -3*g = 4*x - 46. Let t = g - 13. Solve 0 = -t*u + 2*u + 3*y - 24, -3*y = -9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116555946*l**3 + 141667313*l wrt l.\nAnswer: 699335676*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -17. Let i be (z + (-28)\/(-12))*33. Calculate the greatest common divisor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jcjjcc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.0429\nAnswer: -0.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17946, 17873, 17740, 17541, 17270?\n\"Answer: -b**3 - 24*b**2 + 6*b + 17965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10315, -41633, -93953, -167275, -261599?\nAnswer: -376925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.37, -11, 1, -2?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6148, 12295, 18442, 24589, 30736, 36883?\n\"Answer: 6147*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/20*1\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 + y - 2. Let w(m) = 2*m**3 - m**2 + 2*m - 3. Let z(j) = 2*w(j) - 5*x(j). Let g be z(3). What is the units digit of 1*-3*-3*g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4500) - sqrt(4500))*-4*2)\/(-4*sqrt(324)*-1*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 24*w + 22. Give v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36651*n = 34775*n + 144452 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553839213 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g - 3 + 11 + 20*g - 14*g - 133*g**2. Let a be c(-6). Let n be a*12\/(3 + -2). What is n rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*r + 24, 12527*c = 12*r + 12523*c + 56 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 784986563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:21 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 9 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from xkerxrrlkcrc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9769 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c + 77 = -50*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -254*m**3 - 2*m**2 + m. Let d be z(1). Let x = d - -255. Solve x = -5*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + p = 396 - 1222, 0 = 4*g - 4*p - 648. Suppose -2*c + 4*i + g = 0, -c + 3*c - 3*i - 167 = 0. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = -c + 2*s, -c = 4*s - 1. Let o = -5 - c. Solve 5*r - 6 + 21 = -o*y, -r = -y + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11353832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 7*i**3 + 0*i)*(-3*i + 10 - 10) + (-i**4 + i**4 - i**4)*(4 - 5 + 3).\nAnswer: 19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 18 - 2\/3*o**3 + 2*o + 3*o**2. Give l(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/(sqrt(192) + sqrt(12)) - sqrt(216)\/sqrt(6)*6)\/(sqrt(1200)*-1 + (sqrt(24)\/sqrt(2)*-1 - sqrt(12))).\nAnswer: 29*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 1, -254, -1\/97?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4032 and -103\/5544?\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159653?\nAnswer: 13, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*s - 61*s**3 + 80*s - 277*s + 100*s + s**2 to k + a*s**2 + o*s + c*s**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 56130*y + 1. Let w(j) = 646*j - 2. Calculate w(v(b)).\nAnswer: 36259980*b + 644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.032 - 0.032. Suppose 3*m - 2*m = 3. Suppose 4*k + 4*y = y - 11, -m = -y. Which is the third smallest value? (a) k (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 454300201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x = -14*x + 46 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*p*u**3 + 339676*p*u**2 - 5*p - 7608*u**3 wrt u?\nAnswer: -1146*p - 45648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -61*m - 3721. Determine x(-49).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307712646 or -307712647?\nAnswer: -307712647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1640*n**2 + 1119*n**2 - 2782*n**2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 8, y: 2}. What is prob of picking 3 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2)*(-4 - (-45)\/18). Suppose -2*y + 2 = -0. What is the nearest to y in -0.1, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 17*r**2 + 19*r + 14. Let w be s(-11). Suppose 0 = d - 26 - w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11012323302 (base 4) to base 10\nAnswer: 1339122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 6:24 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipttthippptitiihi. What is prob of picking 2 i and 1 t?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:15 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Let p = -26 + 50. Calculate the highest common divisor of p and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.9, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - 95*u - 211. Give m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/25)\/(39\/1430)*(-1)\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:33 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.15578 times -26970\nAnswer: -4201.3866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + g)*(6*g - 347 - 351 + 696).\nAnswer: 6*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7*f + 5 = 4*j, -2*f - 4 = -2*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/901 + -1497\/274805. Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t + 10. Suppose 4*f = 2*s + 22, -5*s - 24 = -3*f - 11. Determine v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.979321 to three dps.\nAnswer: -10.979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37840.41951 - 37840. Round x to 3 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -628, -645, -654, -667, -696?\n\"Answer: -2*m**3 + 16*m**2 - 51*m - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*a*d**3 + 1614107*a*d - 38*d**3 - 6*d**2 wrt d.\nAnswer: -132*a*d - 228*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 1\/24430?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 27 = 4*l + 19, m - 5*l - 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291997 is divided by 1445?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-25))\/((-1)\/((-25)\/75)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 11 = y, -32*y + 28*y + 46*x = 88 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222 + 460. Suppose -m - 6*w - 15 = -2*m, 0 = -3*m - 2*w + 25. Let l = h + m. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/7)\/x**(-2\/93) assuming x is positive.\nAnswer: x**(572\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 17 = -2*i. Let o be ((-14)\/21)\/(5\/126). Let l = -72\/5 - o. What is the common denominator of l and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o - 27. Let z(f) = 7*f + 13. Calculate 6*b(m) + 13*z(m).\nAnswer: m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*f + 115*f - 90. Calculate the smallest common multiple of ((-6)\/f - (-5 - -4))*27 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00745161 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -587 and 3.386?\nAnswer: -1987.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 3. Let y(p) = -p**2 + 7*p + 2. Let c be y(a). Calculate the least common multiple of (0 - (-1)\/c)*2 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3717533*o - 6302 = 3717670*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b5ba (base 16) in base 11?\nAnswer: 2109321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209123 * 5.8.\nAnswer: -1212913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-6)\/297)\/(1625\/(-1375)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 9145.87, -237 in increasing order.\nAnswer: -237, -1\/2, 9145.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/6 - (-8352)\/288?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (8\/2 - 6). Suppose -j + 1 = -w*t - 2*t, j - 7 = -t. What is the highest common divisor of 9 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22644 and 2886.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbzbbzbtzbbb. What is prob of sequence tb?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let q(s) = 82*s - s**2 - 82*s. Let x(t) = -t**4 - 3*t**2. Let p(j) = z*x(j) + 5*q(j). What is the third derivative of p(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 4*l - 16. Suppose -5*q = -l*q - 96. Suppose a - q = -a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**7\/210 - r**5\/30 + 5*r**2. Find the third derivative of b(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 21.02. Let i = -21.000009 + a. Round i to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -397385 not equal to -12318906\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - -3) + 4 - 1310\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -1\/2*z**2 + 11*z - 147. Calculate t(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7688589382533 and 0.8.\nAnswer: -7688589382532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3615 and -33.\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 + 57154*d**2 + 724620*d.\nAnswer: -6*d + 114308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -111700 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 311423 and 2363?\nAnswer: 43287797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -51\/2. Let i = -0.67 + 0.07. Let g = -0.2 - i. What is the third smallest value in -2, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 5 = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 22851847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(2\/27)*(z*z*z*z\/(z\/(z**(-1)\/z)))**45)\/(z**(5\/3)\/(z*z*z*z\/(z**(-3\/10)*z)))**(-1\/42) assuming z is positive.\nAnswer: z**(24319\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (51 + (51 - 148))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 338d2 (base 14) in base 4?\nAnswer: 132210300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16612861 by -193.\nAnswer: 86077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58699961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 16600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 52*i**4 + 482*i**3 - 1840*i**2 + 2432*i - 1024.\nAnswer: 2*(i - 8)**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76866 is divided by 97.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4077878 millilitres to litres.\nAnswer: 0.0004077878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6950, 6952, 6954?\nAnswer: 6956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 3*z - 19. Let o(i) = -2*i**2 + 5*i - 20. Let x(g) = -4*o(g) + 5*v(g). Is 53 a factor of x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -710*o - 30010 - 5*o**2 + 2*o**2 + 30011 to the form z + n*o + r*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r - 4. Suppose 6*h - 3*s - 3 = 5*h, 0 = h - 4*s - 3. Is x(h) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-15) - -4)\/(4\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55024 - -1?\nAnswer: 55025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28836461 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 27 + 8)*(1 + a**5 + a**5 + 1) + a**5 - 3*a + 3*a + 2 - 2 - 3*a**5 + (2*a**2 - a + a)*(94*a + 8*a**3 - 94*a).\nAnswer: -54*a**5 - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s + 20. Let t = 4 - 4. Let u be (-34 - t)*5\/(-10). Let o(b) be the first derivative of 2*b**2 - 7*b + 2. Determine u*o(f) + 6*q(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-8)\/256)\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-22)*1)\/(13*(-300)\/21450)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 73*l + 21*l + 13*l + 7*l. Let n(d) = 5*d**2 - 6*d + 6. Let z(p) = -6*p**2 + 7*p - 7. Let o(k) = 7*n(k) + 6*z(k). Determine o(s(y)).\nAnswer: -12996*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3 + 36814*p**2 + 26653008*p - 26689824 = 0.\nAnswer: -17652, -756, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13134*f**3*g**3*t + 2*f**3 + 4*f**2*g**2 - f*g**3*t + 242*f + g**2*t + 2*g**2 wrt g.\nAnswer: -78804*f**3*t - 6*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -8762\/1617 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-14)*(-21)\/(-18). Let j = -0.168 - 0.132. Let z = -2 - -2. Which is the closest to o? (a) z (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 319. Let i(v) = v. Determine i(r(x)).\nAnswer: -2*x - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452*3.\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3)*1)\/(2\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235 + 235 + 25*j)*(10*j**3 + 4*j**3 - 20*j**3 + (-3*j**2 + 2*j**2 + 3*j**2)*(-j - 4*j + 6*j) + 4*j**3 - 3*j**3 - 2*j**3).\nAnswer: -125*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/257 (b) 2\/15 (c) -3 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24 = -5*r. Let m(a) = a - r + 8. Determine m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -534 - -532. Suppose 5 + 1 = 3*u. Let k(a) = -2*a**2 + a**u + 2 - a + 2*a**2. Determine k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 65406277 = -24258277. What is z rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 23*i + 0*i**5 + 0*i**4 + 5\/6*i**6 - 40*i**2 - 2 + 0*i**3. Find the first derivative of u(d) wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1401720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2425 and 13\/700?\nAnswer: 67900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4*d + 4*c**4 - c*d*p - 8*d*p - 3*d - 1 wrt c.\nAnswer: -4*c**3*d + 16*c**3 - d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 1. Let l(r) = 3*r + 26. Let v be l(-7). Suppose -v*k = -12*k - 35. Calculate x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 90*v**3 + 38*v**3 - 1 - 6*v**3.\nAnswer: 122*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -229 in 5, 1\/3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229244 * 0.4.\nAnswer: 91697.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - z - 1, 2*g + 0*g = -4*z - 24. Let x be g\/4 + (-2)\/20*-5. Solve -5*q - 5 - 10 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*(-14)\/(-21)*(-1)\/(-4). What is the smallest value in 0.4, x, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117)*-1*5 + sqrt(117))**2 + -3.\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 20405?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.93 + 4. Let l = -2.49422 - -1.99422. What is the second biggest value in l, 1\/6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -76. Let t be 3 + -1 + d\/(-2) + 5. Suppose -2*k + 25 = -i, -t*i = -5*k - 6*i + 64. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753433.2 centuries in years?\nAnswer: 75343320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v - 46831 + 49015 = -23*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -8. Suppose 11*p - 15*p - 24 = 0. Let d = k + p. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6645 and 1604989?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7. Suppose 0 = 2*q + 2*j + 23 - 5, 4*q - j = -41. Let h be (18\/q - -1)*20\/(-2). Calculate the greatest common factor of h and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/2 - 10621*j**2 - 84955*j\/2 - 31857 = 0 for j.\nAnswer: -21238, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44.968, -14, 4, -4?\nAnswer: 44.968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 718973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/5 + 38\/55. Let q = 0.131 + 4.969. Let n = q - 2.1. Which is the third biggest value? (a) k (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6*t = 0. Suppose t = 39*w - 43*w + 28. Suppose -4*p + 2*r + 16 = 0, 2*p - 5*r = 3*p + w. What is the fourth smallest value in -3, 0.3, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 380\/9 + -42. Let h = 1601\/11 + -145. Let i be (-6)\/(-9) + 2\/6. Which is the second biggest value? (a) h (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156742, -627039, -1410904, -2508361, -3919434, -5644147, -7682524, -10034589?\nAnswer: -12700366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 1. Let l(j) = 2*j + 1. Let b(i) = -4*k(i) + 5*l(i). Let f = -284 + 285. Calculate b(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3928 + 132247?\nAnswer: 128319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1. Let n(y) = y - 17. Let q(v) = -n(v) - 5*p(v). Let r be q(6). Let t = 7 - r. Do -8 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-4 - -6) + 11 + -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-4) + 1\/(-4). Suppose 0 = -2*x + l + 627, -x = -w*l - 185 - 124. Suppose -4*m = -50 - x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-48)\/144*((2 - 1) + -18). Solve -f*q + 62*q - 140 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117156 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f - 2*f - 5*f - 10*f + 15*f. Calculate d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/(-30))\/(2\/80*16).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/4*4\/(-3). Calculate the remainder when 45 is divided by d*((-24)\/9 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j**2 - 1 - 8*j**2 - 4*j**2 + 4*j - 14*j**2 + 36*j**2. Let q(x) = -2*x - 10. Let a be q(-7). Calculate v(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z - 15. Solve 0 = 4*i - 3*b - 0*b + 7, -5*i + b = -z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1020)\/(-18972))\/((-2)\/(-4)*-5)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.1231 and -5.\nAnswer: 20.6155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2) + (2 - -15). Let s(t) = -3*t + t**2 + 2 - 24 - 6*t - 4*t. Calculate the remainder when 31 is divided by s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 17311840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2*51\/(-34)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = v + 120. Calculate the highest common factor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85682261, 342729036, 771140327, 1370916134, 2142056457, 3084561296, 4198430651?\nAnswer: 5483664522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:37 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149.53 + -149.530019276. Round y to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 2*y + 4. Let n(i) = 22 - 24 + 0*i + i**2 - i. Let o(s) = -13*n(s) - 6*q(s). Determine o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -103. Suppose 18 = 3*l + 357. Let s = 793\/7 + l. What is the nearest to a in s, 5, -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7444417 to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/27 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39505.03 litres?\nAnswer: 39505030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -10, 303*s - 892 - 572 = 3*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-1))\/(584\/2117).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*t - 464, 3*t - 928 = 4*h + 5*t. List the prime factors of 1\/((-2)\/h*4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 746*l**2. Let f(p) = -38*p**2. Calculate i(f(a)).\nAnswer: 1077224*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 5873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76.1 and 276.\nAnswer: -21003.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = -31*z + 490. Let s = z - -365. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let r(f) = -2*f. Suppose -51 = -64*n + 13. What is n*d(b) + 3*r(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**6\/20 - q**5\/60 + q**3\/6 - 3*q**2\/2 + 3*q. Let x(m) be the first derivative of z(m). Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -3.42916162.\nAnswer: -0.42916162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4637*i + 4712*i - 6 + 68 - 9424*i.\nAnswer: -75*i + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 324, 355, 388, 423, 460, 499?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + d = 3*g + 12, 2*g = -5*d - 3. Let h = g + 14. Let a = -2 + 10. What is the remainder when a is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t + 5*f, -4*t + 0*f + 6 = 3*f. Suppose -t*v = 6 - 18, -g = -v + 2. Let m be 1\/(-2) + (-35)\/(-77). Sort -3, m, 2\/15, g in ascending order.\nAnswer: -3, m, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80\/20*(-2)\/(-2). Let v(k) = -k**3 - 2*k**2 + 2*k + 2. Let i be v(-3). Find the third derivative of -4*z**3 + 5*z**i + 14*z**2 + s*z**3 - 18*z**2 wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1)\/3*(2 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1378*d**2 - d + 90*d**3 - 27 - 1378*d**2 wrt d?\nAnswer: 540*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 147 - 3*m - 152)*(3*m + 0*m + 5*m)*(3 - 1 - 1)*(-m + 3*m - m).\nAnswer: -40*m**3 - 40*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 56743 and 19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1282 - -1282.000000847. What is q rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/32 and -35\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 96. Which is the nearest to 3? (a) -6 (b) 0.2 (c) p (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s + 82955*s**4 - 3*s - 77230*s**4 + 10018 wrt s.\nAnswer: 22900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/231 (b) -2.25 (c) -0.1 (d) 4 (e) 2 (f) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9281221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 - 4*m - 11. Calculate the remainder when 62 is divided by p(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p**2 - 2*p)*((-4 - 1 - 15)*(-3*p**2 + 3*p**2 + 3*p**2) - 3*p**2 + 2*p**2 + 0*p**2).\nAnswer: -122*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*v + 5. Is 24\/11 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.859115 and -0.1.\nAnswer: -24.959115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1341.2829.\nAnswer: -1341.2829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 - 843720*w - 133474394700.\nAnswer: -4*(w + 316395)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 215457916 to the nearest ten thousand.\nAnswer: 215460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:03 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 + 2*j + 2. Let n be v(2). Let u = 8 + n. Let i = 1 + 3. Solve i*m = -2 - u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63217 and 199276.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -2*z + 0 - 2\/3*z**3 + 2*z**2. Differentiate q(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 3*g**2 + 2. Let l be i(-3). Suppose -t - 4*t = -2*t. Suppose 0 = -2*o - 3*w + 5*w + 8, 3*o - w - 10 = t. Are l and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 0.4, 8, -1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*p**3 - 134*p**3 + 1 - 18*p + 9*p as y*p + k + b*p**3 + x*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p + 20 = 0, 5*q - 4*p = 50664. What are the prime factors of q?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*v - 13. Let u = 6 + v. Put u, -0.4, -3 in decreasing order.\nAnswer: -0.4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 48 = 2*v. Solve -25*n = -v*n - 66 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2173 and -178431.2151.\nAnswer: -176258.2151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**6\/180 + q**5\/30 - q**4\/4 - 4*q**3\/3 + 6*q. Let v(d) be the second derivative of z(d). Factor v(f).\nAnswer: 2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*d - 2*a - 12, -3*a = -d + 2. Suppose -3*f + 9*f = 414. Suppose -d*x = -8*x + f. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208333643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80880*o - 80883*o - 80740*o + 323385*o - 80885*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 40 - 86 = 0. Calculate the remainder when 81 is divided by p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 2*o**2 + 4*o**2 + 7*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2. Let j(h) be the third derivative of -13*h**4\/24 + 31*h**2. Give t(j(l)).\nAnswer: 1352*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 10) in base 12?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.387142 centuries to millennia.\nAnswer: 0.0387142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/86319828 and 131\/9660.\nAnswer: 431599140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1099\nAnswer: -2\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*d**2*z**2 - 129*d**2 + 7*d*z**4 + 2 wrt z?\nAnswer: -24*d**2*z + 28*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3.24 (b) 2\/7 (c) -4 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/42 and -47\/101034.\nAnswer: 707238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 + 182. Suppose 2*u + 3*q + b = 0, 5*u + 4*q - 12 + 8 = 0. Solve 0 = 5*w + u*r - 7, 0 = -2*w - 0*w - 5*r - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 10. Let c be z(0). Let b be 9*(c\/(-3) + -3). Solve b*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*c + 3911, 0 = 50*i - 54*i - 4*c + 3128. What is the smallest common multiple of i and 1827?\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 87\/5*h**5 + 0*h**2 + 0*h**4 + 2*h + 107 - h**3. What is the third derivative of d(b) wrt b?\nAnswer: 2088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.160086 + 555655298?\nAnswer: 555655298.160086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78403 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:59 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-22)*(-9)\/6 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -1.19999951. Round b to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 15*y + 1. Let w(r) = -r**2 - 16*r + 2. Let k(q) = -6*p(q) + 5*w(q). Let j = 14 - 24. List the prime factors of k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22997 or -22968?\nAnswer: -22997","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*b**2 + 29*b**2 + 4 + 12 - 6*b**3.\nAnswer: -6*b**3 + 124*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 29 = -4. Let f be 14\/(m\/(-2 - 3)). What is the highest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23520000 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -345733 divided by -4?\nAnswer: 345733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 62 + 88. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**5\/3 + 3836*g**4\/3 - 756224*g**3\/3 - 1069252960*g**2\/3 - 21143048000*g\/3 - 105299368000\/3 = 0?\nAnswer: -722, -10, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/18*8\/2. Let r = 7 + -6.6. Which is the smallest value? (a) 2 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 2*c**3 - 3*c**3 + (-4*c**3 + 4*c**3 + c**3)*(-1 + 2 - 3) - 139*c**3 - 2*c + 0*c + 103*c**3 to the form a + y*c**3 + j*c + z*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 + u**4\/2 - u**3\/6 + 16*u. Calculate w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*(-10)\/8)\/(-3))\/((-27)\/(-12))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*m + 260*m**3 + m**2 + 103*m + 538*m**3.\nAnswer: 798*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -12, -1, 22?\n\"Answer: 6*s**2 - 19*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.943 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - y - 2*w = 122, -2*y + 14 + 7 - 31 = -2*w - 12 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + 0*m**4 - m**4)*(4*m - 6*m + 3*m) + 5*m - 2*m**5 - 5*m.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 25 = 1655*n - 1657*n, p + 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 737*f + 739*f - 1466*f - 80 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7685338 is divided by 7685209?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 9*q + 4. Let h be l(-8). Let d be 3\/(2\/h + 2). What is the third derivative of 2*m**4 - 3*m**4 + 4*m**4 - d*m**4 - m**2 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.372825 rounded to 3 dps?\nAnswer: -17.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38138 - 5110525\/134. Calculate the common denominator of -55\/28 and i.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -53*k**4\/12 - k**3\/3 - 29*k**2. Let n(h) = -2*h. Calculate n(w(u)).\nAnswer: 212*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062137 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15507\/6902 + 16\/493. Find the common denominator of p and 5\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/2 + 689*v**3\/2 + 86063*v**2\/2 - 92248173*v\/2 + 456598215 = 0. Calculate v.\nAnswer: -347, 10, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**5\/9 + 1718*k**4\/9 - 146*k**3\/3 - 1718*k**2\/9 + 430*k\/9 = 0.\nAnswer: -215, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5484710.72126 from 0.6.\nAnswer: -5484710.12126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 3*y + 6*y**2 + 14*y)*(1 - 1 + 2) to the form r + v*y**2 + d*y and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6617*f + 1 + 2 - 6595*f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -27*i**2 + 11*i - 10. Let p(b) = b**3 + 59*b**2 - 387*b - 17. Let r be p(6). Determine l(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 - u**4\/12 + 233*u**3\/6 + 3*u**2 - 2*u. What is the tens digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 4, 0.2, 28\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78466162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {e: 6, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wokolaya. What is prob of sequence ook?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -115, -229, -343, -457, -571?\n\"Answer: -114*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**6\/1260 - k**5\/60 + 32*k**3\/3 - 28. Let c(z) be the third derivative of i(z). Factor c(j).\nAnswer: -2*j*(j + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) 1\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 2*p + 9. Is 25 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 99, 87, 63, 27?\n\"Answer: -6*a**2 + 6*a + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 2582 + 1668 = -180*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 107?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-8 + 9))*(-2)\/32\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c + 15 = 52*c. Suppose c*q = -q + 540. Calculate the greatest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:23 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**5\/30 + v**4\/4 + 4*v**3\/3 - 8*v**2. Let k(t) = -62*t + 1 + 29*t + 31*t + 3*t. What is 5*k(p) - r(p)?\nAnswer: 2*p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 734, 1880, 3732, 6434, 10130, 14964?\nAnswer: 21080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 15*i - 5. Let a(n) = n**2 + 16*n + 6. Let t(b) = -5*a(b) - 6*d(b). What is the second derivative of t(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - -100334?\nAnswer: 100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 849519599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 + 16*x**2 + 152*x - 986. Give j(9).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1093 - 853. What is the smallest common multiple of v and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196265\/7 - -28038. Let d = -0.04 + -3.96. What is the closest to 4\/13 in d, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1141 and 26\/3749.\nAnswer: 26243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/720 - h**5\/30 - h**4\/3 + 5*h. Let l(o) be the third derivative of v(o). Calculate l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 + 1 - 1 - 4*t + 4 + 4*t**2. Let y(h) = -6*h**3 - 5*h**2 + 5*h - 5. Determine -5*l(v) - 4*y(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/18 - (-2)\/9. Let c = 435 + -432. Let u(o) = 0*o + o**3 + 791*o**2 - 6*o - 786*o**2 - c. Determine u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52804893 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49095 or 49096?\nAnswer: 49095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(405) + 0)**2 + sqrt(405) + 1 + (2*sqrt(405))**2.\nAnswer: 9*sqrt(5) + 2029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 97. What is the smallest common multiple of 112 and s?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyykykyay. What is prob of picking 1 k and 2 y?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**5 - 1874503*y**4 + y**3 - 164012150*y**2 - y.\nAnswer: -300*y**2 - 44988072*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1141?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6992 = 4709 - 5658. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(495))\/sqrt(11))\/(1*2*sqrt(9)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -859\/2? (a) -94 (b) -0.008 (c) -14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183430 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -3\/2, 133, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.92 + 9.92. Put 1, z, -1\/14, 0.1 in descending order.\nAnswer: z, 1, 0.1, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 2*f + 4. Let j be z(4). What are the prime factors of 2 + (-4 - 128\/j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-72))\/((-32)\/(-15552)*-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.027 - -0.027. What is the closest to h in -2\/19, 3, -9, 2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 2, b: 2, q: 1, p: 1}. Give prob of sequence pbt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13593995 divided by 5?\nAnswer: -2718799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q - 2*q)*(-5 + 5 + 1).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-36*((-141)\/(-3105))\/(-47))\/(6\/15)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 141*x - 5. Calculate the lowest common multiple of 1909 and h(44).\nAnswer: 32453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2*x = 4, 4 = -3*x + 7. Let t be m*(-8 + -10 + 5). Which is the nearest to t? (a) 0.01 (b) -5 (c) 2\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 minus -0.047?\nAnswer: -126.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 0*m + 0*m + 4*m**2. Let z be l(2). Let d be ((-12)\/10)\/1*z\/(-6). Solve d*o - 6 = 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2)*3)\/sqrt(4) - (2 + (sqrt(2) - (2 + (sqrt(4)\/sqrt(2) - sqrt(2))))**2).\nAnswer: -8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(788\/(-19700))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4212 + -4210. Let b(u) be the first derivative of 0*u + 9 + 0*u**m + 0*u**3 + 0*u**4 - 1\/30*u**5. What is q in b(q) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {h: 1, b: 1, k: 3, g: 1, u: 3, z: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20947 divided by -81.\nAnswer: -20947\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4, -7*w - 18 = -3*p - 4*w. Suppose 5*z - 2*r + 22 = z, -41 = p*z + 5*r. Let t be (22\/z)\/(5\/(-100)). Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 + 0 = 0. Solve 0 = -3*p + i*w + 6, -3*w - 6 = -0*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-11 - -6) + 6 + 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 15\/4, 1, -0.1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/60 + 3*d**3\/2 - 8*d**2. Let z(g) be the first derivative of y(g). Let o(h) = h**2. What is o(z(x))?\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 + 8*r**2 + 4375*r - 8755. Determine v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4 - 4. Differentiate 75*k**4 + 0*k**3 + 15 - 65*k**m + 0*k**3 with respect to k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7)*(2*u - 2*u + 2*u) + 27*u - 462 + 462.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((-240)\/(-72))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 49. Let z = s + -14. Let b be (-4)\/(-10) - (-15)\/z. Put -0.2, -0.4, b in increasing order.\nAnswer: -0.4, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) 14 (c) -0.5 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 3*i + 3*i)*(-2 - 216 - 26)*(0 + 2*i + 0) as h*i + d + t*i**2 and give t.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4248 is divided by 250.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59030?\nAnswer: 2, 5, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*t**4 - 44*h - 8*t**4*y**2 - y**2 wrt t?\nAnswer: -8*h*t**3 - 32*t**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*a**2 + 75*a**2 + 569*a**2.\nAnswer: -149*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f - 4*b - 9, 2*b = 0. Suppose 6*x + 0*x = -30. Put 5, x, f in increasing order.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q. Let p(s) = -8*s**2 - 5*s. Let w(r) = -5*d(r) - p(r). Let u(j) = -104 + 104 + j + 0*j. Calculate u(w(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/(-4)) + -18. Let j be 37 - (-2 + 0)\/(-1). What is the tens digit of j\/2*(-16)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n)\/n*n**(1\/4))**(-3\/4)*(n**(2\/7)\/n**(-2\/17))**9 assuming n is positive.\nAnswer: n**(3699\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2721158314?\nAnswer: 2, 7, 194368451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 - 3*v - 2. Let o be t(-6). What is the greatest common divisor of 144 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 1578 = 0. Suppose -342 = -7*m + o. What is the remainder when m is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092122091 to the power of 1\/2, to the nearest integer?\nAnswer: 33047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14973 - -11902702282?\nAnswer: 11902717255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*t = 91, -4*n + 5*t - 89 - 44 = 0. Let c = n + 65. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-1 - (2 - 2)). Suppose -n*k + 15 = -0*k, -2*r + 12 = 2*k. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16887722.\nAnswer: 2, 503, 16787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3350\/3961 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16897 to the nearest 100.\nAnswer: -16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let f(g) = 5*g + 2. Give f(d) - 4*k(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-1)*g)\/g)\/(g**9\/g))\/((g\/((g\/g**7)\/g))\/(g*g**0\/g))*g**1\/(g**(-2\/11)\/g)*g**(-3\/2)\/(g*g*g\/(g\/g**1)*g) assuming g is positive.\nAnswer: g**(-359\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 17. Let d(m) = 0*m**2 + 6*m**2 - 8 + 10 - 2. What is b(d(g))?\nAnswer: -42*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1898 = -3*f + 4*b, 5*b - 499 = -f + 140. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 2.3. Let z be 34\/6 + -3 - 2. Is z less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519544791 plus 4?\nAnswer: -1519544787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*8417611.\nAnswer: -589232.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 30. Let w be 11\/5 + (-8)\/(-10). Calculate the least common multiple of 3 and n(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-7 + -4 + 7 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10075 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3941822.9 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -6. Let k = -26.9998 + j. What is k rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100229 + 24813?\nAnswer: -75416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 336 = -8*w + 10*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 o when three letters picked without replacement from aaaeaoooaoaoa?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -88, 8, 106, 206, 308, 412?\n\"Answer: a**2 + 93*a - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 * -4964.\nAnswer: 38719.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 8*x - 1. Suppose 5*h + 20 = 5*o, 0 = -121*h + 124*h + o + 24. Calculate c(h).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - x + (2*x - 2*x + 2*x)*(2 - 2 + 2))*(231*x**2 + 45*x**3 - 119*x**2 - 110*x**2).\nAnswer: 135*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iul. Give prob of sequence iul.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 1*((-2)\/1 + 53)?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392 + -3358 + (0 - (-5 - (0 - 3)) - 11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6 = -233*p + 229*p - 106, 4*z - 148 = -5*p for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -22. Suppose 8*y - 5*y - 21 = a. Let n(t) = -t**3 + t**2 + 3. Let s be n(0). Solve -s*g - y = -19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:01 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 2*n + 4. Suppose 4*p + 1 = -i, 4*p + 10 = 4*i - 2*i. Let b(j) = i - 2*j**2 - 2 + j**2. Calculate -3*b(h) + f(h).\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cii. What is prob of sequence ci?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211012 (base 3) in base 12?\nAnswer: -928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwjjjjjkjjwjjr. What is prob of sequence ww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/((-305)\/1220)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 3.6. Let h = 0.1 + -0.6. Let y = h + k. Which is the second smallest value? (a) -0.2 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 17.7. Let z = -0.8 - y. Which is the closest to z? (a) -1 (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -870, -9, -6, 3, -4 in descending order.\nAnswer: 3, -4, -6, -9, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21962*a**2\/3 + 87884*a\/3 + 48.\nAnswer: 2*(a + 4)*(10981*a + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 364759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b - 40?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6)*8973\/6. Calculate the common denominator of b\/84 + (-8)\/(-14) and 182\/8 - -2 - (-69)\/(-46).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2822*a + 21230 = 174033 + 2407 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 - 27*c + 94. What is the remainder when q(3) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192021 and 7488819?\nAnswer: 7488819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by (7\/(-5))\/(180\/(-30) + (-29)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37923914 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 13*j**2 + 5*j - 5. Let l be q(7). Let h = l + 39. Calculate the remainder when 158 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*r**2 - 5999*j**2*r*v - 5*j**2*v - 2*j*r**2*v + 188893*r**2 - r*v wrt r.\nAnswer: 4*j**2 - 4*j*v + 377786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229232499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3647 + 1715 = y, -2*y + 10757 = -3*s. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150856778.0000014 + 150856792. Let d = b + -14. What is d rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 11, 25, 55, 107, 187, 301, 455?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4 + 30\/12. Suppose -w*b + 40 = p, -10*p + 11*p - 22 = -2*b. Let y = b - -18. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13 = 4*a - 5, a = 3*c - 2. Let o = 4 + 10. Calculate the remainder when (-1)\/((-8)\/a)*-164 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375.1534 minus 731?\nAnswer: -2106.1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a - 9*a + 0*a - 26*a to g*a + j and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/344 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3016*b + 52. Let w(z) = -1508*z + 29. What is -5*k(o) + 9*w(o)?\nAnswer: 1508*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - 2338?\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 30 = 4*k. Solve 3*l + 13 = 5*f, -2*f + 0*f - 5*l + k = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -177, 6577, 13341, 20121, 26923, 33753, 40617, 47521?\n\"Answer: p**3 - p**2 + 6750*p - 6927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2565830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/16471632 and 133\/8669280.\nAnswer: 164716320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 425258.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7545763?\nAnswer: 41, 184043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-9 - (-10 + -14))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 14. Let q(i) = -1. Give 12*q(g) - s(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-one quarters of a week?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9) + (-140)\/15. Let c be 3\/(-6)*(-6)\/q. What is the smallest value in 0.1, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3986080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 = 3*n + 37, 0 = 4*o - n - 99. Let y = 24 - o. Let p = y - -63. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.2. Let d = 14 + -9. Suppose 5*g + 19 = -2*h, 5*h - 4*g - 4 = h. What is the closest to 0.1 in h, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188859133?\nAnswer: 188859133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-564)\/(-2538))\/(3\/(15\/2)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -316 - -301. Let s be (11 + (-270)\/20)*4\/g. Let n be 3 + (-6)\/(3 + -6). Which is the smallest value? (a) -5 (b) 2\/11 (c) s (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/3, 0.3, -95886, 1, 1\/8 in ascending order.\nAnswer: -95886, -0.3, 1\/8, 0.3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 4*f - 4*f)*(2*f - 5*f + f) + ((0*f**3 - 3*f**3 + f**3)*(1 + 2*f - 1) + 24 - 24 + f**4)*(-1 + 3 - 3).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 17*b - 6. Determine q(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136))*4 + 4*(sqrt(136)*-2 - sqrt(136)) + sqrt(136))*-6)\/(-2*4*sqrt(288)*4).\nAnswer: -7*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/7 - 608*y**4\/7 + 48005*y**3\/7 - 19788*y**2 = 0. Calculate y.\nAnswer: -679, 0, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 0. Suppose -3*j - 2*c + r = -2, 5*j = -2*c + 12. What is the nearest to -3\/7 in j, 2\/17, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 7*c - 2 + 1)*(-6*c + c + c) + 2*c**2 + 0*c + 0*c.\nAnswer: -14*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5 - 680*f**4 + 57800*f**3 = 0.\nAnswer: 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -19. Let x = 0 - r. Suppose -x = s - 6*s. Solve -s = -f + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 1065.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 10*t. Let l(p) = 51*p. Give l(m(r)).\nAnswer: -153*r**2 + 510*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 110. Let v(w) = -355*w - 25. What is the thousands digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-30)\/(-21)*(-1365)\/72696 and 53\/28.\nAnswer: 6524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(-1 + sqrt(2592) + -1 + (1 + sqrt(2592))*3)*-6 + 2)**2.\nAnswer: 241920*sqrt(2) + 37325580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 7 - 7)*(-29 - 14 + 8)*(-5 + 1 + 3) to w*a**2 + y + i*a and give w.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*h - 2 = -19, -2*h = r + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 25 = 11. Let n(i) be the second derivative of i**5\/20 + 7*i**4\/12 + 5*i**3\/6 + 3*i**2 + i. List the prime factors of n(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -6) + (-3 - 6 - 7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2848.01 + -2864. What is k rounded to 1 dp?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -62\/7 (b) 0 (c) 0.04 (d) 18 (e) -1\/3 (f) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123012 = -3*x + 5*i, 8*x - 11*x + 2*i + 123003 = 0. Is 147 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18215283 or -18215242?\nAnswer: -18215283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 28 + 3*m - 24 - 43 + m**2 + 10*m. Suppose -5*h = 4*s - 4*h + 66, 5*h = 5*s + 70. Let j be d(s). Solve -5*p + 1 = -5*k + 6, -k = p + j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, j: 2, b: 1, c: 1, t: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3\/3 + 3*o**2\/2 - 18*o + 4. Let r be j(-6). Solve -3*v = -2*v - 5*x - 20, -2*v + 2*x + 16 = r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 8*k**2 + 9*k. Let o be l(-9). Suppose 7 = h + 2*t, o = -h - 2*t + 6*t - 23. Let z be ((-2264)\/12 + h)*6. Round z to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1021 + 451. Let w = a - -603. What is the third biggest value in w, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 23*w**3 + 2*w**2 + 31*w**3 - 1 to y*w**2 + v*w**3 + r + d*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1227 and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u + 4*l - 2810 = 0, -5593 = -4*u + l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 42, 57, 26, -81?\n\"Answer: -5*s**3 + 22*s**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -32*k**2 + 6*k + 14. What is b(-2)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 15) in base 3?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 7. Calculate the common denominator of 4\/10 - 81\/(-110) and w + (-1 - 468\/(-88)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -295*z - 1103. What is the units digit of v(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*a - 24*a + 95019. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times 0.7\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3 - (2 + 1). Let n = x + 0. What is the units digit of 12\/((1 - 3)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4569*0.2\nAnswer: 913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5.9. Let p = k - 0. What is the third biggest value in p, -4, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*a**2*p*w**3 - 2*a**2*w**3 - a*p*w**3 + a*p*w**2 - 4*p*w**3 wrt a?\nAnswer: 76*p*w**3 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6934701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:36 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvvzlubjvzvjluzvu. Give prob of sequence vu.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-366)\/671)\/((-208)\/(-143))*4*(-1)\/21.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 225*f + 10711. Give q(-148).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (580\/(-150))\/29 - (-3497)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10358 - 10360. Which is the third smallest value? (a) 2 (b) -0.1 (c) -4 (d) i (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877896 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c = -401 - 338 - 536 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -377, 0.5?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -237 - -1?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 5. Let p be g(-4). Let m = -127 + 194. Let z = -66 + m. Calculate the highest common factor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.9 - 1198.1. Let t = -1232.08 - m. Round t to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 1, y: 1, s: 3, q: 6, f: 1, t: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152117 is divided by 3148?\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13499 = -2*v + 5*g + 318, 4*g = -4*v - 26404. Let f be (2 - 3) + (3 - v). Round f to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1583*u = 2493*u + 3211*u - 80157 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/3853?\nAnswer: 4\/3853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6327 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 134 + 6. What are the prime factors of 2\/7 - 200\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 25 = 2*i + 4*h, 11 = -5*i + h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0268759 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1235456485*i**2*x - 5551794*i*x - 20*i + 3*x wrt i?\nAnswer: -2470912970*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j**3 + 6*j - 11. Let m = 256 - 243. Let l(g) = -7*g**3 + 3*g - 5. Determine m*l(v) - 6*d(v).\nAnswer: -v**3 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 5:27 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 5.12. Let q = -1 - 6. Let r = j - q. Which is greater: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 189, 459, 859, 1401?\nAnswer: 2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4*(sqrt(48) + 0 + sqrt(48)) - (sqrt(3888)*2 - sqrt(384)\/(sqrt(8)*-2)))*4)**2 + -1.\nAnswer: 4032*sqrt(3) + 84815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 335.2 and -14565.\nAnswer: -14229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 5*i + 123, 5*i - 21 = 4*c - 102 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3283\/14)\/(2\/4). Suppose -461 = -3*t - 2*f, 5*t = 2*t - 4*f + y. Is (-2)\/(-6)*(-4 + t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*t**2 + 54*t**2 - 262*t**2 - 345*t**2 - 356*t**2.\nAnswer: -789*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218 or 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-24)\/(-9))\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56011, 57694, 59377, 61060, 62743?\n\"Answer: 1683*d + 54328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 17*b**2 + 27*b + 7. Determine l(15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5073780 and -83\/1642.\nAnswer: 5073780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1410 - 827. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8) + ((-21)\/30 - -1). What is the second biggest value in 2\/9, i, -2, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/15 - -3)*6. Suppose 0*b + 5*b + 2*d - 5 = 0, 4*b - d - t = 0. What is the common denominator of (b - 38)*(-3)\/(-15) and -16\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + 4*(sqrt(209) - (sqrt(209) - -2*sqrt(209))*3 - sqrt(209))\/((sqrt(66)*1)\/sqrt(6))*-2) + 0)**2.\nAnswer: 2462400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.01229 - 0.01229. Suppose -a + 34 = -3*a + 4*c, -a - 5*c = -4. What is the closest to a in 5, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6488, -5, 1821 in decreasing order.\nAnswer: 1821, -5, -6488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.29 - 1.29. Let u = 1 - 4. What is the biggest value in z, -2, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, 173923, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3936\/8975, -4, 2 in descending order.\nAnswer: 2, -3936\/8975, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.69355 - 382233\nAnswer: -382233.69355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*6\/9)\/((-49)\/21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*s + 249 = 1497. Suppose 2\/13*a**3 - 8\/13*a - 16\/13 + 4\/13*a**s = 0. What is a?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639831 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/2*(-1 + 3). Let s(m) = -48*m. Let i be s(1). Let d be (6 + -3)\/((-18)\/i). Calculate the highest common factor of y and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-6)*((-75)\/(-9) + -9). Let s be (53\/212)\/(a\/8*2). Which is smaller: -0.005 or s?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236044763 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66671 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:50 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Suppose -6*q + 13 + 17 = y. Suppose -67 = 4*v - q*b, 4*b + 58 = -2*v - v. Round v to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 6*i - 251. Let m = i - 54. Which is greater: m or 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 960 + 944?\nAnswer: 16a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 15 = 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 971*k**2 - 166188*k - 328500.\nAnswer: -(k + 2)*(k + 219)*(k + 750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 2*q**2 + q - 38. Let n(t) = -3*t**3 - 6*t**2 + 4*t - 120. What is -13*i(x) + 4*n(x)?\nAnswer: x**3 + 2*x**2 + 3*x + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 1303216?\nAnswer: 1303160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174180 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 7*d - 4*d + (2 + 1 - 5)*(-8 - 6 - 35)*(5*d - 8*d + d) to the form l + p*d and give p.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -136336703792?\nAnswer: 136336703798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 339, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (334\/1002)\/((-1)\/(6\/(-14)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*h**2*k**2 - h**2 - 67*k wrt k?\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzzazzozzhhzaooxt. What is prob of sequence oh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 13*l = -14*l + 12, 0 = -5*v + 4*l - 57 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -543.5 - -544. What is the closest to -3 in -2\/13, -2, -5, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j - 43*j - 49*j + j + 0*j + 3*j + 2 + j - 2 + (-2*j + 4*j + 0*j)*(-1 - 3 + 2).\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -8. Calculate the remainder when 135 + 3 + c + (4 - 1) is divided by (-140)\/63 - -2 - 119\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 541695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r + r + 0*r. Let l(j) be the first derivative of -j**3\/2 + 3*j - 3. Let b(w) be the first derivative of l(w). Give c(b(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 50 = -2*t - 3*t, 23 = 2*t + 3*x. Suppose -3*w - 2*q = -56, 3*q = -3*w + 4 + 53. What is the lowest common multiple of (36\/t)\/((-12)\/(-42)) and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7959*z - 10268*z + 2308*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189291 + -133966. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from darhpddrdhdrrdrdhrd. Give prob of sequence hhd.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8938164 divided by -4551?\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -113*h - 335. Let f be i(-3). Let q = 6 + 1. Suppose -f*z = -q*z + 6. Solve 15 = -b - z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12872 or -12874?\nAnswer: -12872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.076 - -0.011. Let k = 4.913 + i. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86014, 86007, 86000?\nAnswer: 85993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4884 - -10386. Suppose 18*j = -3*j + o. What are the prime factors of j?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/6)\/((-2)\/6). Suppose -2*a = 3*i - 7 - 0, 5*a - 4*i = 52. Calculate the highest common factor of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -1. Let c = -7 - -11. What is the nearest to h in c, 0.3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292852355.\nAnswer: 5, 241, 243031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 179 = -257. Let j = 1253 + -1317. Let d = j + m. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.132 + 0.068. Let p = 42\/19 + -256\/133. What is the biggest value in p, 2\/5, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 58*i + 189. Determine u(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143919337 is divided by 279?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2566.53774 to one decimal place.\nAnswer: -2566.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -5*x**4\/12 + 385*x**3 - 266805*x**2\/2 - x - 256. Factor u(h).\nAnswer: -5*(h - 231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let h(b) = -b**3 - 2*b**2 - 3*b - 1. Let f be h(-2). Let u = f - m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10 + 10 + d**2 + 7*d**2. Let v(u) = -u**2. Calculate q(v(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 2. Find the first derivative of 9*m**2 + 13*m**2 + 1 - 11*m**x wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 1034*y\/3 - 15437\/3.\nAnswer: (y - 359)*(3*y + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1199*w**2 - 4*w - 4. Let n(k) = 10790*k**2 + 35*k + 35. Let j(u) = 35*f(u) + 4*n(u). Is j(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/8*8\/(-10). Suppose 0 = -5*w, -3*k - w + 27 = j*w. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-39030)\/(-11520) + 27)*(-3)\/(-10)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from {p: 1, a: 12, d: 3, s: 1, o: 2}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.918 - 0.082. Let d = 64.0053 + b. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-8))\/t)**8)**(2\/7) assuming t is positive.\nAnswer: t**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223927659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*q**2 - 2308.\nAnswer: -518*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/(b\/((b*b**(-2)*b)\/b)))**43\/((b**(-2\/3)\/b**(-2))\/(b**(-2\/5))**(-21\/2)) assuming b is positive.\nAnswer: b**(-602\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134099 or -132160?\nAnswer: -134099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 262, 912, 1980, 3502, 5514, 8052?\n\"Answer: 6*m**3 + 173*m**2 + 89*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -20. Let p = -6 - k. Suppose 0 = -p*c + 5 - 1. Calculate the least common multiple of 7 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -47*p + 13*p + 13*p + 17*p. Let t(v) = v + 8. Let a be t(-4). Let g(j) = -8*j - a*j + 8*j. Calculate g(y(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1 + 0 + -1. Suppose -26 = -2*t - t - x, 5*x + 40 = q*t. Let y = t + -6. Solve 0*m = m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 1. Let q be ((-4)\/8)\/(1\/(-12)). Let b be (q\/18)\/(1\/(-6)). Let i(f) = -f**3 - 4*f**2 - 3*f. Let p be i(b). Give m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6800, 6596, 6254, 5774?\nAnswer: 5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:59 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133627?\nAnswer: 13, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6042, -6604, -7166, -7728?\nAnswer: -8290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/30 + 12\/90. Is 4\/97 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10425504 - 34?\nAnswer: -10425542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/6)\/s*s*s))\/s)\/(s\/((s\/s**(-8)*s)\/s)*s*s)*(s**7*s)\/(((s*((s\/((s**(3\/4)\/s*s*s)\/s))\/s)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.04868 millilitres?\nAnswer: 0.06804868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {j: 12, r: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:51 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/8))\/(x*x**8)*(x**(-2\/5)*x)**(-25\/2))**(-10\/17) assuming x is positive.\nAnswer: x**(635\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42391, -42390, -42389, -42388, -42387, -42386?\nAnswer: -42385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52714, 105427, 158138, 210847, 263554, 316259?\n\"Answer: -s**2 + 52716*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, 0.03, -595460?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from {p: 7, a: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {t: 2, b: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 not equal to -18352649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6575990?\nAnswer: 2, 5, 41, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-45)\/(-162))*(6939 - -1)*-10. What is l rounded to the nearest 10000?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**4 + 4*l**3 + 13*l**2 - 8*l - 6. Let g(y) = y**4 - 2*y**3 + 2*y**2 - 1. Let t(o) = 2*g(o) - q(o). Let t(p) = 0. What is p?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1635 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from mxlhhmwhmmwmhmhhh.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825258.4 months in decades?\nAnswer: 23543.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)*((-114)\/9 + 13). Solve 3*n + 15 = 0, -b + y*b + 4 = -n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/30 + 14*s**2 + 1. Let z(d) = -5*d**2 - 10*d. Calculate z(q(u)).\nAnswer: -20*u**4 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*w = -65, 3*w = 2*n - 2 + 31. Let t = 0.6 - 0.1. Sort 0.4, n, t in descending order.\nAnswer: t, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -476, 16733, 3 in descending order.\nAnswer: 16733, 3, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -135*v + 1. Let n(k) be the first derivative of -5*k**3\/3 + 193. Calculate n(d(x)).\nAnswer: -91125*x**2 + 1350*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d - f - 3, 2*d = -f - 5. Let b be (d + 1)*(-1)\/3. What is the derivative of 3 + b*v**3 + 5*v**3 - 3*v**3 wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(6\/7)\/((l*l**(-4\/5))\/l*l*l*l**(-2\/9))*(l**(-6\/5)*l*((l*l**(2\/5)\/l)\/l)\/l)**(3\/23) assuming l is positive.\nAnswer: l**(-2893\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7330*d**4 - d**3 + 47346*d.\nAnswer: 87960*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 28*v**2 + 30*v + 49. Let h be r(-29). Calculate the greatest common factor of h and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3816 and 143100.\nAnswer: 286200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j\/j**0)\/j)*j*(j*j**(-2))\/j)\/(j*(j\/(j*j**(-2\/5)))\/j)**(-2\/73)*(j**(1\/7)*j\/(j\/j**3)*j)\/((j\/(j*j**(-2)))\/j*j*j**(-7)) assuming j is positive.\nAnswer: j**(25943\/2555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.075 - -0.025. Which is the closest to w? (a) -3 (b) -3\/10 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4aaa (base 15) to base 11\nAnswer: -10a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + 1 + -3)) + 1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4418 divided by 371?\nAnswer: 4418\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*z + 15, i = -z - 4 - 5. Let s = -10 - z. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14265767713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44148*y**2 - 2 + 2 - 1488860*y**2.\nAnswer: -1444712*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r**2 - 32*r - 88938. Let m(i) = -2*i. Give a(m(t)).\nAnswer: 40*t**2 + 64*t - 88938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281.87 - -285. Let i = -3 + f. Let w = -0.12 + i. Round w to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*s - 315 + 48 - 685 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 1. Suppose -26 = -5*w - 3*g + 74, 3*w = y*g + 60. Solve 0 = 5*z - 5 + w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201000 (base 3) to base 8.\nAnswer: -5214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12230 (base 4) in base 11?\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -3*z**5\/20 + 7*z**4\/16 + z**3\/4 + 4*z. Determine t, given that d(t) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/16 + (-23)\/4. Let v = 2 + d. Let c(q) be the first derivative of q**2 + 4*q - 3. Calculate c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76247*r - 5 - 4 + 9.\nAnswer: 76247*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 55 = -105. Find the third derivative of 24*z**2 + z + 56*z**5 + 46*z**r + 113*z**3 - 113*z**3 wrt z.\nAnswer: 6120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 36271*j**2 - 4*j - 36276*j**2 - j - 5. Let u(v) = 14*v**2 + 16*v + 16. Calculate -16*n(b) - 5*u(b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 5*j**2 - 3*j + 12. Let a be y(-3). Let i(b) be the third derivative of 0*b + 0 - 1\/24*b**5 - 5\/3*b**a + 5\/12*b**4 + 12*b**2. Factor i(q).\nAnswer: -5*(q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:58 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-8))\/(-11 - (-716)\/64). Let v(z) = 480*z**2 - 7*z + 9. Is v(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/2 + 23*s**3\/3 + 31*s**2\/2 + 12*s + 105. Determine o(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 28 = 73*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, 3, 5, 2 in descending order.\nAnswer: 317, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Let z(l) = -3*l**3 + 45*l**2 + 2*l**3 - 8*l - 38*l**2 + 11. Let m be z(6). Sort 0, c, m in descending order.\nAnswer: c, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*(-1 + -1*sqrt(171)))**2*-4 + -4 + (1*(sqrt(171) - (1 + sqrt(171)))*-4)**2).\nAnswer: 1296*sqrt(19) + 37080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*3*4\/(-3). Suppose 0*x - d = -5*x. What is the units digit of x\/10 - 66\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - 54. Let g = v - -148. What is the remainder when g is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -44. Which is the third smallest value? (a) o (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-10569972.\nAnswer: -84559776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 8*b**2 + 13*b + 3. Suppose 0 = -c + 2*c + 4*r - 13, 3*r - 3 = 0. Let d be z(c). Suppose 0 = -5*u + 1 + d. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 44. Let h(d) be the third derivative of -d**4\/24 - 267*d**2. Determine h(b(p)).\nAnswer: p + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1100111 (base 2) to base 4\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4500 + 4554. What is the remainder when 212 is divided by d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5488, -10975, -16462?\n\"Answer: -5487*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 31*m**7\/5040 + m**6\/720 + m**5\/60 - m**2. Let h(q) be the third derivative of k(q). Is 15 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455227918 is divided by 840.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3799 is divided by 135?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -53. Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 656013*n**3*v + 7*n**2 + 52*n*v + 2*n - 40454*v wrt n?\nAnswer: 3936078*n*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1005, 1047, 1085, 1119, 1149?\n\"Answer: -2*a**2 + 48*a + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3588 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Suppose -6 = r*n - 16. Suppose -n*d = -10, -5*p - 5*d = -0*d - 170. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3168*l - 25287. Calculate p(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13020*k**2*v**3 - 5907*k**2 - 2*k*v**4 - 3*k*v**2 + 656*k*v wrt v?\nAnswer: 78120*k**2*v - 24*k*v**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.53. Let d = -0.13 + m. Sort 2\/11, d, -5 in descending order.\nAnswer: 2\/11, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -2)\/3 + 1. Find the first derivative of q*n + 957 + 0*n - 26*n**3 - 935 wrt n.\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19314 and 475803?\nAnswer: 35209422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m. Suppose -71*c + 76*c = 180. Let r(p) = -2*p**2 - 1. Let n be r(4). Let j = c + n. Calculate o(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j + 169. Let o(p) = p - 2. Let r(k) = 6*o(k) + v(k). Let d be r(23). Calculate the highest common divisor of 54 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*p**3*w + m*w - 4*p**3 - 30*p*w - 44*w wrt p?\nAnswer: 6*m*p**2*w - 12*p**2 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 46. What is z(49)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1904490, -1904482, -1904470, -1904454, -1904434?\n\"Answer: 2*i**2 + 2*i - 1904494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008118 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/(-1960))\/((-10)\/(-35))*(-5)\/2\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 0)\/(((-39)\/2)\/13). Let n be (-3)\/3*(-3)\/3. Let g be ((-1)\/(-2))\/(n\/10). Calculate the greatest common factor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 6*l + 2. Let r be f(4). Is 7 a factor of 5\/((-15)\/r)*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/91 - ((-92)\/(-28) - 3). Suppose -224*t + 209*t + 30 = i. Factor 1\/7*c**3 + 0 + 0*c**t + 0*c - 1\/7*c**4.\nAnswer: -c**3*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45060 = -169*j + 166*j. Let t = -8831 - j. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3767680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1086841\/2364 + 1839\/4. Do 0 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-104)\/(-65))\/(4\/10). Suppose -2*u + 1 = -x, -4*u + 22 = s*x + u. Suppose 7 + x = 2*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-5 + (14 + -5 - 6))) + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 17*i**2 + 2*i - 30. Let a be j(17). Is a smaller than 19\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 3. Let r(j) = -1. Let z be 1*(-10)\/(-15) + 2\/6. Let t(f) = z*c(f) - 3*r(f). Let m(b) = 8*b**2. Give m(t(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -204, -196, -184, -168, -148, -124?\n\"Answer: 2*p**2 + 2*p - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23621052 + -64?\nAnswer: -23621146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - 0.1. Let h = v - 0.74. What is h rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 4, y: 1, q: 4, e: 3, s: 2}. What is prob of picking 1 c and 1 e?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/3 + 8258622*d**2 - 51153619745540*d - 306921817576712\/3 = 0. What is d?\nAnswer: -2, 12387934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 + -55. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/10)\/(4\/(-56))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 142*t**2 + 808*t - 1055. Give m(-136).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**4 + 28*l**3 + 154 - 3*l**4 + l + l**4 - 152 as x + p*l + n*l**2 + k*l**3 + t*l**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 + 43 = -5*m, -5 = y. What is the remainder when m\/(-8) + (-213)\/(-6) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - l + 5*l = 2865, -3*o - l + 2865 = 0. What are the prime factors of o?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 - 52*m + 14. Let y be p(-9). Sort -112, y, -5 in increasing order.\nAnswer: -112, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2\/5 (b) -19.6 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d + 11. Let k be t(-8). Let y be k*((-12)\/9)\/(4\/(-26)). Suppose 6*f - 58 = y. Calculate the lowest common multiple of 24 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*z = -780, 3*z + 174 = 2*a - 123. Let p be ((-2)\/(-6))\/((-85)\/a). Put p, 0.3, 0 in increasing order.\nAnswer: p, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/5 + 1596*w\/5 + 3196\/5 = 0. Calculate w.\nAnswer: -2, 1598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.038 (b) -4 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1434)\/(-26) - 18\/117?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/30)\/((-1)\/6). Let z = 5 - 9. Let c be z*3\/12*-2. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-2*(sqrt(68) + -2*sqrt(68)) - sqrt(68)) - (-1 + sqrt(68)*2 - (sqrt(68)*-2 + sqrt(68))*-3)) + 1)**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -211632?\nAnswer: 211635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-16) - ((-617295)\/40)\/21 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 1\/6, -17, 15 in descending order.\nAnswer: 15, 1\/6, -1\/4, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*g + 1673, -3*l + 3*g + 2000 = -3007. List the prime factors of l.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.989 less than -166?\nAnswer: -172.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -123*f + 204. What is the tens digit of n(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpahphphphyhy. Give prob of sequence phyy.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(490)*-1 + sqrt(10) + sqrt(640) + sqrt(40))\/(-4*(sqrt(5) + (sqrt(105)\/sqrt(3))\/sqrt(7))))**2*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 = -3*s, -2*y = -2*s + 144. Let i = y - -73. Let -12 + 16*k**i - 2*k**2 - 3*k - 2*k**2 + 3*k**3 = 0. What is k?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0 + 0)*(-2 + 2 + w) - 5*w**3 - 2*w**4 + 5*w**3 + 14*w**2 + w**3 - 14*w**2 + 2*w**4 + 7*w**4 + 2*w**4 - 13*w**4 - 2*w**2 + 1.\nAnswer: -3*w**4 + w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 162*w - 137. Let o(r) = 325*r - 273. Let z(i) = 7*k(i) - 3*o(i). Differentiate z(m) wrt m.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275*r**3 + 9*r**2 - 5 wrt r.\nAnswer: 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = h + 3*h - 191, 26*c = 3*h - 720 + 556 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from fdfsjfddjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from abrzkbe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.8 + -8.4. Let x = 28 - p. What is the third biggest value in 4, -5, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 15662?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -67*x. Let s(b) = -20*b**2 - b. Give k(s(m)).\nAnswer: 1340*m**2 + 67*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 3*u + 3 = -12*f, 5*f - 4*u = -42 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1640 and -103\/844190.\nAnswer: 3376760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1396 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -46\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -935532.6 rounded to the nearest 1000?\nAnswer: -936000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3476*t**2 - 3 - 1070*t**2.\nAnswer: 2406*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 73 = p, -4*d = -3*p + 5*p - 56. Let s(x) = 2*x**2 - 45*x + 255. Let i be s(9). What is the highest common factor of d and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1999296 and 29\/8320.\nAnswer: 19992960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.65 + 47. Let x = 1.5 + q. Let a = x - -0.35. Which is bigger: a or -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 8*p + 12. Let k be z(7). What is the hundreds digit of 3 + (498 - (k + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 65 - 27. What is the remainder when 91 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/105*-6)\/((-1)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 66*f - 68. Let r be p(1). Solve 5*x - 1 = 2*k - r, -3*x + 11 = 4*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -1.35. Let l = m + 1.2. Let k = 0.38 + -0.08. Which is the smallest value? (a) k (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 12*r + 9*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-189) + 10604\/(-18018)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:09 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16437 - -16441. Solve 2*q - 4*p + 22 = 0, -24*q + n*p = -20*q + 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581421 a multiple of 1737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2\/315 (c) -0.15 (d) -2\/15 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 69?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-66)*2 + (-280)\/(-88). Let k be 1 + (0 - 7\/3). What is the smallest value in -2\/5, u, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 304*p + 19074. Give q(-89).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, 0.1, 9, 4\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9800207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360 + 357. Which is the third biggest value? (a) 1\/6 (b) -103 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/27 - 75\/(-27). Suppose d = z - 6. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:22 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290693.\nAnswer: 13, 59, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1045 or 0.08?\nAnswer: 1045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -39. Let c be a - (12\/(-30) + 8\/(-5)). Calculate the greatest common divisor of 55 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101\/(31209\/(-9682))*3\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166620.\nAnswer: 2, 5, 7, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -247.5. Let m = 33277.50055 + -33279. Let a = m - o. What is a rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-4))\/((9\/98)\/(1326\/(-3094)))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7550374.\nAnswer: 2, 13, 290399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*j + 2 = 0, 3*v + 0*j - j - 7 = 0. Suppose -5*x - 2*d = -0 + 17, -d = -v. Suppose -3*p + 2 = -p. Sort x, -2, p in descending order.\nAnswer: p, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26025.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (0\/(-3) - 10\/14). Let l = -3.1 + -0.9. Which is the closest to -1? (a) l (b) -9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 4*v - 2*v**2 + 3*v**3 - 2*v)*(-10*v - 4*v**2 + 10*v).\nAnswer: -8*v**5 + 8*v**4 - 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = f + 20, -5*f - 126 = 3*c. Let r be 9\/12 - 3*2\/f. Sort 0, -5, r in descending order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 + u - 16. Suppose -3*l + 0*l + 3*t - 42 = 0, -1 = -l - 4*t. Let q be j(l). What is q rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 10. Let z(j) = -16970*j. Calculate t(z(d)).\nAnswer: -67880*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 27*a**2 + 6*a - 22. Let z(k) = -k**3 + 21*k**2 - 5*k + 21. Determine -4*m(w) - 5*z(w).\nAnswer: 9*w**3 + 3*w**2 + w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - f + 4 = 0, -3*c - 2*f + 2 = 3. Let d(j) be the first derivative of 1\/3*j**c - 7\/2*j**2 - 2 + 6*j. Determine d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92615.22 milligrams to nanograms.\nAnswer: 92615220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-3)\/(-3) + -1 + -1). Let b(z) = -9*z + 10*z + f*z. Let y(v) = -4*v. Determine y(b(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*y - 7, 4*c - 14 = -3*y - 2*y. Which is smaller: c or 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**2 - 770*v - 3746. Give u(-150).\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 207 = 4*k - 43, -t + 23 = 5*k. Suppose 38*b = t*b - 5070. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, -919 in decreasing order.\nAnswer: 0.2, -0.1, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbu when three letters picked without replacement from xbdxuduxbxd.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -32*z**4 - 42*z**3 - 152*z**2 + 480*z - 266. Let c(r) = -5*r**4 + 3*r**2 + r - 1. Let d(a) = 12*c(a) - 2*v(a). Factor d(b).\nAnswer: 4*(b - 1)**2*(b + 10)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -34)*((-636)\/36)\/(-53)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*l + 8 + 118, 4*l = 4*b + 72. Suppose 219 + 771 = 5*y. Calculate the greatest common factor of y and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3376360905 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 29*u**2 + 4*u + 2. Calculate t(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 4}. Give prob of sequence ll.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/43 or -4538?\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1329, -0.13, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - -18. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835626 (base 9) in base 3?\nAnswer: 221012200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 - o + 47. Let c be g(3). Which is smaller: c or 6028?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*p - 5*z, 3*p + 2*z = -p + 14. Let y be (-2)\/(((-16)\/6)\/p). Suppose 1 + y = 4*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 888 and 0.4.\nAnswer: 888.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - b - 16. Let s be x(-3). Suppose 3*i = 5*y + 1 + 5, -s*i + 3*y + 10 = 0. What is q in 0 + 1\/3*q + 2\/3*q**i + 1\/3*q**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9)*2610\/5800)\/((3\/(-92))\/(-3))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12628 is divided by 973.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**2 + 2\/3*u**3 + 1\/12*u**4 + 0 + u. Let d(n) = n**2 + 4*n - 1. Let s(k) = 2*d(k) - 3*j(k). Calculate s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, t: 3, m: 5, c: 3}. Give prob of sequence ccm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2176009, -2176004, -2175983, -2175940, -2175869, -2175764, -2175619, -2175428?\n\"Answer: f**3 + 2*f**2 - 8*f - 2176004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m + 19. List the prime factors of g(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -28, -53, -88, -133?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m - 951 - 270 = -95*m + 454 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimyiisoosiiiiiimii. Give prob of sequence iymo.\nAnswer: 13\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121220 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c6b - -71c?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6418 or -19253\/3?\nAnswer: -6418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303520 (base 7) to base 6.\nAnswer: 1035221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -6, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 3444*u + 90230. Give k(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 1 + 1 + d**2 + 3*d**2 - 3*d**2 + (5 + 2*d**2 - 5)*(-4 - 2 + 4) - 3 + 0 + 2*d**2 + 0*d**2 + 30 - 30 - 10*d**2)*(3 - 5 - 2).\nAnswer: 48*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -6. Suppose -2*g = i + 21. Which is smaller: -15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 30. Let w be f(8). Put 1, 4, w, 8 in ascending order.\nAnswer: w, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -172*y**2 + 5*y. Suppose -5*n - 31*i + 18 = -32*i, 0 = 4*n + 2*i + 8. Let v(f) = 86*f**2 - 2*f. Calculate n*h(a) + 5*v(a).\nAnswer: 86*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/70)\/((-15)\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24723 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -637.9 - 0.14623334559.\nAnswer: -638.04623334559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 + -7.3. What is the fourth smallest value in 4\/3, j, 4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5932\/177 - 5\/354. Let k = -33 + q. Let r be (-105)\/56*(-4)\/(-10). Which is the smallest value? (a) -4 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 5, -29, 2\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252046787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1105 * 0.2\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 34. Suppose 0*i + 245 = 2*i - 3*b, 0 = -4*i - f*b + 440. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 17. What is c(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -16*a + 100. Let s be u(-12). Find the first derivative of s - 34*t - 3*t - 110 wrt t.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10935261205 - 10935261205 + 20*o**3.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006589 to 5 dps.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*144.1529.\nAnswer: -43.24587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) -0.3 (c) 0 (d) -2\/327 (e) -0.07 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 1)*(-8)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 54778695.\nAnswer: 54778691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 12, 9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.85 - 31. Let q = -1.12 + j. What is q rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16780 and 7874015.\nAnswer: 4195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**34)\/g*g)\/g)\/g**(-29) assuming g is positive.\nAnswer: g**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-10)*(8 + -4 + 1). Solve -z*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -3*s - 123. What is the remainder when s is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 - (0 - ((-20)\/18 + -11)). Sort -139, u, -0.2 in increasing order.\nAnswer: -139, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2244.667 * 2.1\nAnswer: 4713.8007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + p + 876 = 0, -3*p = 2*a - 7*p + 456. Let f = -154 - a. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/6 - 8907*z**2\/2 + 946951*z\/2 - 75357043\/6 = 0.\nAnswer: -26827, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svh when three letters picked without replacement from hivbbbbhisbh?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4))\/(24*(-22)\/(-264))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -5 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/7 - 34\/(-119). Suppose 0 = u*k + 2 - 46. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6.4, 1\/2, 0.23, -0.4 in decreasing order.\nAnswer: 6.4, 3, 1\/2, 0.23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-795))\/((-6)\/18*-2)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let u(j) be the first derivative of 5\/2*j**2 - j**3 + 89 - j. What is -5*t(o) - u(o)?\nAnswer: 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 2. Let t be 36\/8*(-2)\/(-3). Let v = 4 - t. Let u(b) = 1. Determine v*r(a) + 4*u(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 77 = 8*p - 13*p, -3*p = 4*b - 223. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 6. Suppose 4*h + 5 = 1. Let j be (11 + -1)*h\/2. Let a(z) be the third derivative of z**4\/6 + 7*z**3\/6 + 4*z**2. Determine j*a(v) - 6*s(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 + 71*a + 497*a**4 - 20 + 54 - 19 wrt a?\nAnswer: 5964*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2406099 * -0.2.\nAnswer: -481219.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 15) to base 12.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 15, x: 5}. Give prob of picking 1 h and 2 x.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (-4 + sqrt(1216)) - sqrt(19)) + (sqrt(190)*2)\/sqrt(10))**2 - ((sqrt(133)*2 + sqrt(133))*-2)\/(-6*(sqrt(7) - sqrt(28))).\nAnswer: 35 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)\/(v**(-8)*v)*v\/v**17*v**6 assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 141 + 2*o**2 + 13*o**3 + 168 - 193 + 15*o**3 + 83.\nAnswer: 28*o**3 + 2*o**2 + 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 42 = -58. Suppose l + 4*l - f = 4*k, k - l + 3 = 0. Suppose 5 = 5*q - 5*i, -3*i = -2*q - k + 3. What is the nearest to q in -0.06, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 7*x**2 + 5*x + 15. Let s be c(-7). Suppose 674 = 2*y + z, -s = -3*y + 3*z - 5*z. Suppose -6*t = -3*t - y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/(-140))\/((-2)\/14). Suppose -175 + 395 = t*i. What is the highest common factor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/3)\/(2\/(-7230)). Let l = f + 43277\/6. Let x = -126607\/198 - -6972\/11. Find the common denominator of x and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 34. Suppose -4822 + 4598 = 14*a. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d + 4. Let q be 0\/((d - -3)\/1). Let y be (q - (-4)\/30)*-3. Sort y, 0.5, -3\/2.\nAnswer: -3\/2, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342393?\nAnswer: 13, 31, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*m + 24. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 2*z + 18, -k - z = 0. Find the third derivative of -283*g**2 + 251*g**2 + k - 152*g**6 - 4 wrt g.\nAnswer: -18240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680\/(-34)*2*(-3)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10\/13)*y\/((y**(-2)*y)\/y)*y**23\/y*y\/(y\/(y**(1\/7)\/y)) assuming y is positive.\nAnswer: y**(2127\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527*c - 577*c - 82113 - 84103 = 0 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 0.4. What is the biggest value in -0.3, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382014 is divided by 256284?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 65430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354.9999926 - 355. Round z to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13326, 13312, 13298, 13284?\n\"Answer: -14*p + 13340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 22*s - 2*r - 50098 = 0, 4*r - 12 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/63 + -1)*(-21)\/75\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(6 - 2 + 7)*(5*i**2 - 3*i**2 + i**2) + (-3*i + i + 0*i)*(-4*i - 3*i + 5*i).\nAnswer: -62*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 2748\nAnswer: -17\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/150 - h**4\/10 + h**3\/3 + 35*h**2\/2 + 2*h - 3. Let b(m) be the first derivative of j(m). Factor b(q).\nAnswer: 2*(q - 5)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 134671*i**3 + 1077419*i**2 - 1750821*i + 808074 = 0. What is i?\nAnswer: -134679, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.5, 4, -1814, 0, -33\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-28))\/((-3)\/(-6)). Let u = 10598 - 10594. Put 0, y, -0.5, u in descending order.\nAnswer: u, y, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a - 79*a + 3*p + 1878 = 0, -1880 = -5*a + 5*p. What is the least common multiple of 24 and a?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 8. Let c be b(9). What is the smallest common multiple of c + 3 - (-12)\/3 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1204 = -20*k - 1264. Suppose 0 = -5*r + 2*r - 66. Let s be 2\/9 + r\/18. Sort k, s, 1.\nAnswer: k, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24622.01 - 24622. Put p, 2\/9, -63, -4 in ascending order.\nAnswer: -63, -4, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44503 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdkkkkkdkkk. What is prob of sequence kk?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let k = 0.1 - 0.10048. Let a = h - k. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 10*a - 4. What is g(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1, -3*g = 8*l - 6*l - 35. What is the remainder when 59 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79148, -157881, -236614, -315347, -394080, -472813?\nAnswer: -551546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3))**24)**(5\/9)*(b*b*b**(-1))\/(b*(b*b**(-4\/5)\/b)\/b)*b\/(b*b**1*b)*b*(b*(b**2*b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-29\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5475 and -53\/150.\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 26 = -14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2. Let b(t) = 3*t**2 - 4*t + 4. Let n(j) = -4*j**2 + 5*j - 5. Let z(l) = -5*b(l) - 4*n(l). Calculate o(z(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4875.8 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*52158266\nAnswer: -26079133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. What are the prime factors of -3*((-80)\/6)\/y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6 < 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -29. Let l(f) be the first derivative of -f**4\/4 - f**3 - 1. Let s(r) = -r**3 - r**2 + 1. Let q(p) = y*s(p) + l(p). Differentiate q(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(276\/(-1188))*4\/(-48)*-4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 3*t - 5. Let y(i) = 4*i**2 + 5*i - 9. Let x be -5 + 3 - -4 - -4. Suppose x = l + 1. Calculate l*o(s) - 3*y(s).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 266201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:07 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -31. What is the nearest to 1 in j, -1, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2436 - 2362. Calculate the greatest common factor of 185 and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*u**3 - 6*u**4 + 4 - 31*u**2 + 34*u**2 - 2 - 68*u**3 to i*u**2 + t*u + v + f*u**4 + b*u**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w + 249 - 263. Solve -c + 4 - w = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3831, 7435, 11039, 14643, 18247, 21851?\n\"Answer: 3604*d + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2117 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -48.\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiz when four letters picked without replacement from zziiizizii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9329291, 18658561, 27987827, 37317089, 46646347, 55975601, 65304851?\n\"Answer: -2*d**2 + 9329276*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 103\/252?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, q: 3}. Give prob of picking 3 q and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r + 3*c - 11, 2*c = -4*r + 24. Let v = 7 - r. Suppose 47 = 5*g + 3*t, 4*g + 3*t + v = 6*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -94, -106, -80, -4?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(5) - (sqrt(5) - sqrt(35)\/sqrt(7))) + sqrt(50)\/sqrt(250))**2.\nAnswer: 12*sqrt(5) + 161\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-50))\/(368\/96)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let b(m) = 18*m**2 + 10*m + 5. Let d(a) = 9*a**2 + 6*a + 3. Let g(z) = 3*b(z) - 5*d(z). What is g(k(y))?\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*r - 1412 = -1447, -6*r - 36 - 6 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y + 3*y)*(-4 + 2 + 0) + 3 - 3 + 2*y + 2*y - y - 3*y - 2 + 2 - 18*y + 2*y - 7*y - 3*y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353930 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(22)*-1 + -1*sqrt(550) + sqrt(22))\/(sqrt(8)\/((-2*sqrt(16))\/sqrt(4))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7397 and 260033?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9310.4 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -83, -128, -155, -158, -131, -68?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Let u be (-3)\/f - (-3)\/4. Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 6*t**2 + 6*t - 8. Let l be o(7). Let m be 2*(l\/6 + 2). List the prime factors of (3 + -25)*1*m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 34 - 3 + (-1 - 1 + 1)*(3 - 4 - 1))*(4*g**2 - 5*g**2 + 0*g**2) in the form t*g + u + d*g**2 and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51071?\nAnswer: 51071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-21)\/12) + 9. Find the third derivative of 371*b - 15*b**2 - 371*b + 7*b**g wrt b.\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n - 9*n**2 - 11*n**2 + 3*n**3 + 2*n**3 - 7*n**3 - 18. Let x be o(-15). Suppose -10*f = -2*f - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -2535140?\nAnswer: -19\/2535140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122155771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 + 385*h + 1555. Determine t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6 + 2*y + 0*y - 19 + 4 + 2. Let c(k) = k**3 + 7*k**2 - 8*k + 2. Let w be c(-8). Suppose 0 = -w*g + 14 - 4. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z - 3*z)*(2 - 2*z - 2) + (1 + 2*z - 1 - 1)*(0*z - 3*z - 4*z) to the form x*z**2 + y*z + n and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9344, 18875, 28406, 37937, 47468, 56999?\n\"Answer: 9531*x - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 178 = -175, 2*y + 82 = -5*g + 3*y for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 13 - -11 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 100*d**4 + 572*d**3 - 476*d**2 = 0. Calculate d.\nAnswer: 0, 1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -59580 divided by -2979\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:28 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -5b?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 2*j**3 - 4*j**3)*(-5 - 1 + 11)*(3*j + j + 4*j).\nAnswer: -80*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.66 + 6.02. Let w = u - 1.06. Let q = w + -0.3. What is the second smallest value in 2, q, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u + 2*l = -760010, -2*u + l = -304005. Round u to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 - 4*s - 11. Give a(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20*u - 106. Suppose 11*q + 45 = -21. Let y be m(q). Suppose s = 3*w + 21 - 8, -3*s = 3*w - 99. Calculate the highest common factor of y and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 19756*w + 157790. What is j(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11\/44)\/((-5)\/200)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g = 52*g + 160. What is the remainder when 53 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 11. Let n = -38 - -30. Let t be m(n). Let g be (64\/12)\/(-8) - (-1)\/t. Which is the third smallest value? (a) 5 (b) -11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17612 and 285418?\nAnswer: 9704212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/2 - 3*f + 7\/2 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -18 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 141295157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 27. Let t(h) = -2*h + 13. Let f(l) = 2*i(l) + 5*t(l). Let k be f(-8). Let n = -41 + k. Solve -x - n + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22653, -90642, -203971, -362646, -566673, -816058?\nAnswer: -1110807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeueuoepepxxxu. Give prob of picking 2 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1982*k = -1987*k + 240. What is the least common multiple of k and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/15)\/(5936\/363580).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5668*p**2 - 9785*p**2 + 4117*p**2 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 237*m**5\/20 - 1025*m**4\/24 - 19*m**2 - 26*m + 1. Find the second derivative of h(z) wrt z.\nAnswer: 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9958*i + 9958*i - 6*i**2)*(14 - 26 - 6*i + 11) to the form p + g*i**2 + t*i + j*i**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/(100\/(-350))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 - 4302?\nAnswer: -4054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*f + 444*f - 913 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.059\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 787698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 90 (b) 0 (c) 1\/7 (d) -0.4 (e) 136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -213, -270, -415, -690, -1137, -1798, -2715?\n\"Answer: -7*f**3 - 2*f**2 - 2*f - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/143 and 990\/(-324) + ((-60)\/24 - (-5 + 0))?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 4. Is s(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 28*k**5\/3 + 1112*k**4\/3 - 8048*k**3\/3 + 736*k**2 = 0.\nAnswer: -46, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5 in descending order.\nAnswer: 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55852547 is divided by 2963.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z + 8. Suppose -3*q = -9*t - 54, 5*q = -0*t - 3*t - 18. Let n(s) = s - 13 + 18 - 6. Determine t*n(d) - b(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*((-6)\/(-56))\/(411\/1096).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22700, 23050, 23404, 23762, 24124, 24490?\n\"Answer: 2*j**2 + 344*j + 22354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 713 + -339. Let v = -145 + x. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/11868 and 17\/36.\nAnswer: 35604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 8. Let t be k(-6). Suppose d = t*d. Suppose 2*y = -d*u + 3*u - 20, 8 = -u - 3*y. Which is the biggest value? (a) -3\/2 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3070 and 93510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/17, -1, -4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6 + 109613*m**5 + 55*m**3 + 2355546*m**2 + 8?\nAnswer: 360*m**3 + 6576780*m**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 14*c. Let o(t) = 175*t + 35. Let z be o(3). Suppose -z*m + 54 = -554*m. Calculate the lowest common multiple of k(6) and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slhohslohlhhhhzolz. Give prob of sequence lls.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3 = m + 4, 3 = -p - 3*m. Suppose p = w + j - 428, -3*w - 432 = -4*w + 3*j. Suppose -2*c + 2267 = w. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 490594, 1962365, 4415318, 7849453, 12264770?\n\"Answer: 490591*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4114735 + 4111423 = -138*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:15 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221162 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 + 3*y - y - 2*y as u + m*y + c*y**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/6 - 60\/36. What is the nearest to 0 in -3\/2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-2\/7)*y*y)\/y*y)\/y)**(-2\/67)*y**(2\/5)\/((y*y**1)\/y)*(y\/(y**(4\/9)*y))\/y*y\/(((y\/y**(-2))\/y*y)\/y)*(y\/(y*y**(-2\/5)))**27 assuming y is positive.\nAnswer: y**(161971\/21105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158817632*l**4 - 29922*l**2 - 1375 wrt l.\nAnswer: 3811623168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4266)\/(-30) - (-1)\/(-5).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690464.\nAnswer: 2, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 + 402 = -100*a + 121*a + 1148 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 765 = -8*q. Let a = q - -1094. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536497159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8*f + 32 = 4*f, -f = 5*m + 25. Are m and -13\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 63. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 83.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 6*o - 3*o)*(-3 - 2 + 2 + (-3 + 2 + 0)*(0 + 0 + 2)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 816*l - 118. Let q be t(14). Let r = 6196 - q. Round r to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*k - 141*k + 344*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 20. Solve -i*l - 12 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y**2 - 730*y - 2621. Give f(20).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18393304 is divided by 2458?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 25. Let m be (-1)\/(-14)*l*(-48)\/(-112). Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001110111000 (base 2) in base 12?\nAnswer: -104a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2 - 45\/(-22)). Let t = -5 - -1. Let x = t + z. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 7*s + 11. Let t be b(-8). Let n(k) = -3*k**2 + t*k + 4*k**2 + 3 - 3*k**2 + 3*k**3 - 6*k**3. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 9828?\nAnswer: 98280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4936 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + s**4 + (-4*s - s**3 + 4*s)*(5 + 2*s - 5) + 0 + 0 - 2*s**4 - 2*s**4 + s**4 - s**4 - 1200451872*s**4 + 2 - 1 + s**2 + 1200450644*s**4.\nAnswer: -1233*s**4 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991575099749478040748905*s**4 - 991574895706498968733645*s**3 - 204042965076256620*s**2 - 13995758320*s - 320 = 0.\nAnswer: -4\/58315661, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 24. Let z = t + 40. Sort -4, 5, -3, z.\nAnswer: -4, -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10158500 to the nearest integer?\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 355 and 1602115?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 36 + 18 = 0. Suppose -5*t + 65 = 4*d, q*d - 59 - 1 = -5*t. Calculate the remainder when 14 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 8. Solve -4*l + s - j = 0, 2*l = 3*s - 4*s + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5053, 3, 5.\nAnswer: -5053, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320327057?\nAnswer: 2320327057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1253135 + -343?\nAnswer: -1253522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/32 - (-95)\/4. Let k be ((-6)\/9 - -2)*i. What is the greatest common divisor of 80 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5 + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/21690 and 83\/13014.\nAnswer: 65070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:47 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(1\/6 + (-88)\/462). What is the biggest value in -0.2, 6, -5, f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9259257, -18518504, -27777751, -37036998?\nAnswer: -46296245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29541741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2430)\/(-450))\/(1*3\/(-5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 6, w: 1}. Give prob of sequence wr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8*(-3)\/(-33))\/((-3260)\/17930))\/(1\/13).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o + 23. Let k(c) = 119*c - 553. Let v(r) = -49*a(r) - 2*k(r). What is the remainder when 137 is divided by v(8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -44 + -5 + 20.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 12.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 924.71 and -68?\nAnswer: -62880.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144658 or 965?\nAnswer: 965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 3094.\nAnswer: 34034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + j - 10*j + (0*j - j - j)*(2 + 1 - 1) + 3*j - 2*j + 2*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**9\/10584 - p**8\/1960 + p**7\/980 - p**6\/1260 + p**3\/2 + 12*p. Let k(u) be the second derivative of n(u). Factor k(x).\nAnswer: 2*x**2*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 32. Suppose -33*w + b*w + 40 = 0. What is the highest common factor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -338, -1228, -2674, -4646, -7114, -10048, -13418?\n\"Answer: 5*v**3 - 308*v**2 - v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/11 + 348*p\/11 - 14746\/11 = 0 for p.\nAnswer: 73, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - a**2 + 6. Let q(x) = -9*x**3 + 3*x**2 - 17. Suppose -d + 8 = 2. Give d*q(f) + 17*u(f).\nAnswer: -3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/89)\/q**17)**(24\/5) assuming q is positive.\nAnswer: q**(-7272\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4221 times 22794\nAnswer: -96213474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 + 1324*y**3 + 370941*y**2 + 30717414*y + 171235296 = 0 for y.\nAnswer: -976, -171, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let k = -17 + 12. Calculate the remainder when 44 is divided by (k\/h)\/(2\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039373 to seven decimal places.\nAnswer: -0.0000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607 is divided by 291.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 666 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/6*-1*(-18)\/(-12). Suppose b - 642 = -b + 4*y, -5*b = k*y - 1619. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/5, -0.5, 5\/4, 0.5 in ascending order.\nAnswer: -0.5, 0.5, 5\/4, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377384 divided by 7.\nAnswer: -53912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 = -0*z. Solve 3*w - z = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -590\/19, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r - 4. Suppose 0 = -14*h + 16*h - 8. Let f(m) = -12 + 5*m + 14 + m. Let k = -11 - -20. Calculate h*x(i) + k*f(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 3 - (1 + -2). Let k = 23 + d. Let l = k + -15. Solve -3*b = -0 + l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-60)\/(-72)*-15. Which is the smallest value? (a) o (b) 0.15 (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 17\/43038 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -106. Let z be 5 - 0 - (-8)\/((-8)\/7). Sort r, 1, -3, z in descending order.\nAnswer: r, 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*d = 6, -2*d = -6*p + 3*p. Let v = 3 - p. Does 7 divide v\/((-20)\/(-8)) + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 20 = 4*p - 14*l, -4*l = 12. Let v = 0.11 + 0.79. Which is the nearest to v? (a) -1 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/5)\/((-14)\/210*-3). Solve k*r + 12 + 51 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -1432 + 141. Let t be (-1250)\/(-6)*(-5 + f). Round t to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8044, -16121, -24198, -32275, -40352?\n\"Answer: -8077*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let m(q) = 3*q**3 + 5*q - 5. Let k(v) = -v**2 + 31*v - 223. Let j be k(19). Calculate j*u(g) - m(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -277932 divided by 12084?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a. Let g be (2 + 18\/(-4))*4\/(-5). Let l(t) = -35*t**2 + 21*t**g + 16*t**2. Determine p(l(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -65*y. Let j(i) = 1669519*i - 6*i**2 - 1669519*i. What is j(f(t))?\nAnswer: -25350*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 169*i + 94. Calculate the lowest common multiple of 2 and y(32).\nAnswer: 6526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 8) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*b = -47, -2*c + 3 = -b + 16. Let d = c + 19. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/51 - (-2)\/(-272))*-54. Determine g, given that -l*g**3 + 9\/2*g**2 + 15*g + 6 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -625 - -634.75. Let h = p + -7.42. Round h to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 20 = 2*o - 6*h, 0 = 5*h - 20. Let m = 1.07 + -0.07. Let t = -29 + 55\/2. Which is the second smallest value? (a) m (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367 = -39*z + 13*z + 49 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1100 - -1100.1. Put -0.4, j, -932 in increasing order.\nAnswer: -932, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2980 is divided by 163.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 4*c + 3. Determine x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + 833*q**4 + 15*q**3 - 140660*q**2 + 2*q.\nAnswer: 120*q**2 + 19992*q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = t - 2, -d - 5*t = 66 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3326 - 3330. Let z(g) = -48*g**2. Let v(i) = -49*i**2. Calculate t*z(d) + 3*v(d).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 521981938*i**3*w**3 + 52*i**3 - 7112012*i*w**2 wrt w?\nAnswer: 3131891628*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 87. Let r(o) = 342*o**2 - 2. Calculate u(r(j)).\nAnswer: -342*j**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.1 - 14. Suppose -n - 18 = 3*n + 5*j, 2*n - 4*j - 4 = 0. What is the nearest to b in n, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (4 - (-6 + 15))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-68.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22970 (b) 54 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**3 + 62105479 - 62105479.\nAnswer: 51*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 10:52 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 426980.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2704, -5409, -8114, -10819, -13524, -16229?\n\"Answer: -2705*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 12. Let b = -3166 - -1559. Let p = 1608 + b. Sort h, 3, p, 0.\nAnswer: 0, p, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196727159.\nAnswer: 19, 10354061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*s**2 - 1435*s + 1448 = 0. What is s?\nAnswer: -1448\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*m - 96, 0*g - g - 101 = -4*m. What is the derivative of 46*u + 19*u**3 - m*u + 21 - 21*u wrt u?\nAnswer: 57*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2514*b = 2526*b + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -94?\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*7*7\/147?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzwzzrzrrrr. Give prob of sequence zrr.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, c: 2}. Give prob of picking 3 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*c\/(c**0*c)*c*c*c))\/(c\/(c\/(c\/c**(2\/7)))))\/(c**5*(c**(-9)\/c)\/c) assuming c is positive.\nAnswer: c**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1010\/(-101)*(-2)\/(-10)*(-1)\/424*-4.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1019 + -691. Suppose 0 = 5*p - p - r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2, -17455?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 at most as big as -3050\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*t = 22, 28 = 4*k + 3*t + t. Suppose -4400 = -214*r + 314*r. Put -1, k, r in ascending order.\nAnswer: r, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by -28\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 1\/7, 0, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -245922.9 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622009599.\nAnswer: 7, 181, 461, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o + 1. Let x(c) = c - 2. Let s be 2 + -2 + 0\/(-3). Let j be x(s). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*i = -99, 0*u + 2*i + 33 = u. Let k be (-2 - 0)\/((-6)\/u). Which is smaller: 9 or k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 144.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*g - 0*g + 38, 5*k = 4*g - 22. Suppose 0 = -2*y + g - 4. Solve -y*s + 20 = -7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55.064191*-11\nAnswer: -605.706101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecqccgz. Give prob of picking 1 g, 1 e, 1 z, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 311*30\/190 - 8\/76\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-28) - 8\/560*142?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18856.27 - 18936. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -196*w - 4. Let q be y(-2). Let j = q - 94. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1529 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 + 1382*l + 5560 = 0.\nAnswer: -4, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3481*a**3 + 1659*a**3 + 8*a + 1818*a**3.\nAnswer: -4*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -77.57 + 77.6. Which is the second biggest value? (a) -0.3 (b) -0.5 (c) 16 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1387.86102s to weeks.\nAnswer: 0.00229474375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287 + 140. Let h = -147.091 - z. Let q = -4.091 - h. What is the third smallest value in q, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 = 3*p - 2, -10 = 3*u - 5*p. Let x be (2 - (0 + 1))*6. Let f = u + x. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488417771.\nAnswer: 3, 5693, 87149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13543719 - 1644\nAnswer: -13545363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let j(v) = 8*v**2 - 1. Let t(i) = j(i) - x(i). What is the lowest common multiple of t(1) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 11 = -1. Let r(g) = -g + 3. Calculate the smallest common multiple of -1 - (0 - 1) - h and r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.02?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + 8 + -37?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 8*h**2 - 6*h + 7. Let x be r(-8). Let w be x\/3 + (-6)\/18. Let l = -13 + w. Solve 4*u - 3*t = -6, -3*t + l = 2*u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872) + -1)**2*5*-2*3 + 4)*-2.\nAnswer: -561908 + 7200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**1*((i*i**(1\/7))\/i)**(-1\/12))**(-42) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 6, -4, -200, 0, 1 in decreasing order.\nAnswer: 6, 1, 0, -4, -111, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4 + 2 - (9 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 1, d: 3, f: 3}. Give prob of picking 2 n and 1 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 5. Let i be u(-4). Let b be i\/(2 + 13\/(-8)). Let f(t) = -t**3 + 7*t**2 + 8*t + 8. List the prime factors of f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let g(o) = -4552*o + 2364*o - 4081*o. Give g(f(d)).\nAnswer: 6269*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-8 + 13 + 4 + -11). What is the nearest to 0 in h, -0.115, 2, 4\/5?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*o**2 - 74*o**5 - 35*o**5 + 109*o**2)*(-9 - 13 + 3).\nAnswer: 2071*o**5 - 38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1254 and 2850?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42*13\/91 - 88\/14. Which is greater: r or -1\/1732?\nAnswer: -1\/1732","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 6*u**2 + 13*u - 7. Give t(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -21. Suppose -r + 0*c - 334 = -3*c, 0 = -k*r + 5*c - 1301. Is (12 - 11)\/((-1)\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(86\/172).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.1. Let l be (-20)\/(-30)*(1 - 16\/13). Which is the nearest to n? (a) -0.2 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 + 8*p - 7. Let l be (-62)\/8 - (-2)\/(-8). Let b = l + 33. Suppose b + 0 = 5*k + 3*y, 5*k - 25 = 5*y. Calculate d(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141224 (base 7) to base 9.\nAnswer: 240216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.48794 rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -54. Suppose 3*n + 4*p = 77, -n + 4*p - 3*p = -35. Suppose -w*s + n = -92. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 571963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*l - 3*l + 0*l)*(2 - 3 + 0) - 3*l - 3*l + 4*l)*(-6350 - 17854 - 22792) to u*l + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/2 - 7. Suppose -4*k - 5*j - 3 + 14 = 0, -26 = -4*k - 2*j. Let v be (8\/6)\/(6\/k). Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -21.1. Let x = s - -2. Let a = 21.00018 - x. What is a rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 11*v**2 + v + 22. Let w be l(-11). Let q = 65 - w. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let i be o(1). Solve 3*g + 7 = -5*f + 2, 4*g + 2 = -i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/13*z**2 - 22\/13 + 24\/13*z = 0. Calculate z.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86430428 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*q - 209, -k = 5*q + 3*k - 261. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - 310*n**3\/3 + 113269*n**2 + 56393960*n\/3 - 33093431056\/3.\nAnswer: -(n - 356)**2*(n + 511)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33085634, -66171272, -99256910?\n\"Answer: -33085638*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -8*x**3\/3 + x**2\/2 - 34. Let h be v(1). Which is greater: -10 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*o - 433*o + 5 + 162*o.\nAnswer: 29*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 + 2)*-171. Let k = -432 - y. Let s be k\/5 - (-8)\/20. Round s to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 - 47*d**3 + d**2 + 16*d**3.\nAnswer: -63*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/6, 0.15, 5 in decreasing order.\nAnswer: 5, 1\/6, 0.15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4334*n - 43330. What is t(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 24*u + 81. Let l be g(27). Let y = 1192\/7 - 171. Does y = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67614230 divided by 199?\nAnswer: 339770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3*(-9)\/(-378))\/((-12)\/(-21)))\/(-10).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Are -595212 and -595575 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 269239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -27, -21, -13, -3, 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 76a4e19 - 6?\nAnswer: 76a4e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from okbkbbbhroakb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-170)\/102*18\/20)\/((-11)\/418).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + sqrt(245)*-1 + sqrt(20)\/sqrt(4) + 5 + (sqrt(120)\/sqrt(2))\/sqrt(12) + sqrt(30)\/(sqrt(60)\/sqrt(10) + sqrt(6)))**2.\nAnswer: -63*sqrt(5) + 605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and 103\/293284?\nAnswer: 2639556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.7721427 minutes to days.\nAnswer: 0.004702876875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118024702.\nAnswer: 2, 4289, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57242013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4)*(-21)\/(-1365)*13)\/(51\/(-816)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 16*d - 8*d - 5*d.\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/4 + 16362*s**2 - 653280*s = 0.\nAnswer: 0, 40, 21776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 1. Let m = -35 - -64. Let v = m + -33. Which is the second biggest value? (a) -1\/4 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22654150 rounded to the nearest 10000?\nAnswer: -22650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*-1*(-3 + 317). Round d to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28775, 28774, 28773, 28772?\nAnswer: 28771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72864*x - 2*x**3 - 145729*x + 72865*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 814 = -898 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 5*j**2 - 6*j + 2. Suppose -6 = -3*f + 4*f. Let y be o(f). Let l(r) = 4*r**y + 3*r**2 - r**2 - r**2. Let q(x) = -2*x. What is q(l(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66.70661 - 66.7. Round x to 4 decimal places.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39379, -39452, -39527, -39604, -39683, -39764?\n\"Answer: -z**2 - 70*z - 39308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by -5 - (966\/(-69) + 3\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40751556*g - 53963862 wrt g.\nAnswer: 40751556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 30*d - 32*d + 7, -7 = -p - 5*d for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c490 (base 15) in base 16?\nAnswer: -2f382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 292050 = -0*a. What is the tens digit of 1 + a\/10 - 1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/38*(-4)\/(-3). Let j = 6 - 4. Suppose -j*v - u = 2. Which is the closest to 1? (a) 0.5 (b) v (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.683 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -0.5 (b) 20 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 141 = -121 + 53 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -231.5*-5\nAnswer: 1157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -104657\nAnswer: 3\/104657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**2 - 11*w + 176. Let u(x) = -6*x**2 + 5*x - 89. Let p(c) = 4*n(c) + 9*u(c). What is the derivative of p(q) wrt q?\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 7190*m - 4212234. Give o(-1377).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 14. Suppose f + f = -o*x + 16, 5*x + 3*f = 27. Suppose 2*j = -j + 63. Calculate the remainder when j is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:17 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*w + 123 = 0, -h + 4*w + 2 = -26. Let b = -616 + 629. Calculate the remainder when h is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88664 - 88661. Suppose -1 = -2*z + b, 1 = 5*b + 6. Solve z*u = -s*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/12 - 5*s**3\/6 - s. Let d(u) = -u - 5. Let i be d(-4). Let b be (0 - -1) + (i - 3). Determine x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 + 13 + 3 - (9 - (23 + -25))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59305.35km in millimeters?\nAnswer: 59305350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 26*u**2 - 8*u - 11. Calculate r(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1282251, 2564500, 3846751, 5129004?\n\"Answer: z**2 + 1282246*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.537 take away 636.70591129?\nAnswer: -637.24291129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9158*o + 27461*o - 9153*o - 785*o**2 + 767*o**2 - 9150*o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 20 = -r - 4, 0 = -2*r + o + 12. Let i = r - 1. Suppose g - i*q + 11 = -8*q, -5*g - 3*q + 11 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a = -116. Let k = 41 + a. What is the lowest common multiple of 28 - (-16)\/8 - 6 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + 1348?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 75*r**2 - 77*r - 76. Let t be p(-76). Let w = -9.8 + -0.2. Let f = -14 - w. What is the closest to f in -1, t, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a century in years?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -0.14, 2\/13.\nAnswer: -91, -0.14, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from uyzuy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277*q**3 - 8*q**2 + 741*q**4 - 381*q**4 - 365*q**4 - 9*q - 40*q wrt q.\nAnswer: -120*q + 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1714, 3385, 5044, 6685, 8302, 9889?\n\"Answer: -u**3 + 1678*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -57057 divided by 273.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93343, 93367, 93413, 93487, 93595?\n\"Answer: z**3 + 5*z**2 + 2*z + 93335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*g = 164*g + 170*g + 79374. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**2)*(2*y + 3*y - 3*y + (1 + 3 - 1)*(-3*y + 3*y + y)).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 18*g**2 + 1 - 5 to h*g**2 + m + s*g and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-43)\/473*40\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v = 37*v + 816844. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3, 7*c - 12*c + 3*d = -9. Sort -2, c, -12 in increasing order.\nAnswer: -12, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 4*o + 36. Let y(p) = 12*p**2 + 7*p - 70. Let f(s) = -5*d(s) - 2*y(s). What is c in f(c) = 0?\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58\/18 + 4\/(-18). Let t = -367743\/11 + 33431. Which is the closest to y? (a) -1 (b) -4 (c) t (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 50310984?\nAnswer: 352176888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 + 161. Let k be 4\/12*(-1)\/(j - -4). Sort -0.4, 5, -2\/13, k in increasing order.\nAnswer: -0.4, k, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -p - 16. Let f = 25 - p. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2))**(4\/5)\/(((((t\/((t*t**(-2\/27)*t)\/t))\/t)\/t)\/t)\/(t**(-4\/7)*t)))**45)**(-28) assuming t is positive.\nAnswer: t**(-6632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 6, c: 12}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644371661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 12. What is the third biggest value in -4\/5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214 + 213. Which is the nearest to y? (a) 0.2 (b) -2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50398 - 81745563\/1622. Let y be -13 - 1 - (-14296259)\/1304088. Let q = t + y. Calculate the common denominator of -77\/4 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -609.6.\nAnswer: 1828.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 44 = -39. Let m be (-12)\/(-54) + 104\/18. Solve -v*k = -14 - m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(90)\/sqrt(54) + sqrt(1215) + sqrt(1215)*1 + sqrt(1215))\/(sqrt(125)*2*1).\nAnswer: -2 + 41*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67332, -134633, -201948, -269283, -336644, -404037, -471468?\nAnswer: -538943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 2*p**2 + 9*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 100011?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/50 and (-2)\/15*((-342)\/(-24) + -5)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - (-264)\/12 - -1751. Calculate the greatest common factor of 753 and o.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 1500?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24c + -1d3ab?\nAnswer: -1d15f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 2*x**2 - 5*x + (2*x + 2*x - 6*x)*(-4*x + x + x) + 26*x - 26*x + 7*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2) + (247\/19 - 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2 + 128*l**2 + 3*l + 1 - 2. Let t be z(-1). Let v = t + -54. Calculate the greatest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + 82. Is 44 a factor of (-6 + y)\/(-3*(-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from eefafeoe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -f + 4*y, -4*f - y = 2*y - 102. Solve -f = 4*m - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15206442?\nAnswer: 2, 3, 53, 47819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 48833.\nAnswer: 97666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 11*l + 8. Let k = -3436 - -3443. Determine o(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/12 - v**3 + 11*v**2. Let w(c) = -2*c + 5. Calculate -5*m(h) - 6*w(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1200 - -1?\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 > 150.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993.0299 rounded to the nearest integer?\nAnswer: -1993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 4*i - 5. Let o be d(-7). Calculate the remainder when 50 is divided by ((-216)\/o)\/(6\/(-8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 90 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t\/(t\/(t\/((t\/t**(1\/4)*t)\/t)))*t)*t\/(t*t**(-3\/11))*(t**11*t*t)\/t**(-4))**4 assuming t is positive.\nAnswer: t**(661\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 33. Suppose -2*x - 3*x = -g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*f - 2*f. Suppose -9 = -2*t - 3*n - 0*n, f*t + 5*n = 11. Find the common denominator of (-3 + 44\/(-5))\/(t\/(-5)) and -69\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/3 + 153*f**3 + 3022*f**2 + 7684*f\/3 - 5736 = 0.\nAnswer: -18, -2, 1, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - 3 - -4 - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 31584\/1879?\nAnswer: 31584\/1879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 262 and 62956?\nAnswer: 8247236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpwpw. What is prob of picking 2 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/(-108)*((-1575)\/(-14))\/15?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-24 - -11) - 1120\/184.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065203955 to 5 decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 623*m + 309*m + 1388*m - 388*m + 25116 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 5*b + 6. What is the smallest common multiple of 6 and k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372*9.\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 14 + 1)*(26*s - 68*s - 3*s - 2*s - s + 2*s + 5*s + 0*s - 3*s + (s - 4*s + s)*(-4 + 6 - 3) + 5 - 5 - s) in the form p*s + z and give p.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/11)*c\/c**(-8) assuming c is positive.\nAnswer: c**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 11*v + 6. Let t(f) = -f**2 + 8*f - 5. Calculate 4*b(i) + 5*t(i).\nAnswer: -9*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/19 + 22*g**3\/19 - 70*g**2\/19 + 50*g\/19.\nAnswer: -2*g*(g - 5)**2*(g - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75707 - 0?\nAnswer: -75707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.19 (c) -46 (d) -4\/31 (e) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3053*j + 10. Let y(d) = -6096*d + 22. Calculate 7*u(i) - 3*y(i).\nAnswer: -3083*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 442 (c) -3\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 12) in base 4?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*q = -508*q + 1013*q + 78 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31833, -127351, -286549, -509427, -795985?\nAnswer: -1146223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4877605 divided by -1\nAnswer: -4877605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3186 and 675314?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/3 - 59068*j**2\/3 + j\/3 + 59068\/3 = 0. Calculate j.\nAnswer: -59068, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13940 and 4030054.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -1, 4287 in descending order.\nAnswer: 4287, 84, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 11:00 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 141635.7 kilograms?\nAnswer: 141635700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 3, 0.07, -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c - 45*c = 270. Calculate the remainder when c is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 104\/18 + (-4)\/(-18). Let m(i) = -i**2 + 9*i - 1. Let l be m(4). Let b(r) = l*r - 11*r + 1 - 9*r. Let s(y) = -7*y + 8. What is p*b(x) - s(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 924.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*h + 825 = 819, 0 = 4*l - 3*h + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 1956\/11. Let d(o) = -7037*o - 56301. Let h be d(-8). Which is the nearest to -0.1? (a) z (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236 (base 12) to base 2\nAnswer: -101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 26. Let b be l(-14). Suppose 3*x + 32 = 3*f + 5, -b*f - 4*x + 42 = 0. Suppose -v + 35 = -17. Calculate the highest common divisor of v and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-17 + 14 + 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 + 7. List the prime factors of l.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6496 and 2334856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867335868 a multiple of 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*(-16*g**2 + 31*g**2 + 63*g**2).\nAnswer: 78*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 167*s + 166*s - 20 = 0, 0 = -2*w + 2*s + 16. Suppose 0 = -2*r + 4*x + 36, 0*x - 3 = x. Solve r = -w*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:23 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7492*o. Let j(m) = 32*m**2 - 6*m. What is j(b(l))?\nAnswer: 1796162048*l**2 + 44952*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117.5 and 4.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494*-3.\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - 3*t - 4*t)*(110*t - 103*t - 331*t) + (-3 - 1 + 2)*(2*t**2 + t**2 - 2*t**2) + t**2 + 2*t**2 - 5*t**2 as i*t + q + r*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + 4 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**5 - 2*a**3 + 0*a**3 - a**5)*((5 - 3 + 0)*(4 + 1 - 4) + 3 - 1 + 0 + 213 - 109 + 108)*((0 - 3 + 2)*(0 - 2 - 1) + 4 - 2 + 0).\nAnswer: 1080*a**5 - 2160*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*p**2 - 5)*(-p + 2 - 4*p**2 + 3*p + 0*p**2).\nAnswer: -12*p**4 + 6*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50162926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 4:49 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z + 4)*(-57*z + 146 + 15*z**2 - 266 + 122).\nAnswer: 15*z**3 - 57*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.5, -7, -111 in ascending order.\nAnswer: -111, -7, 1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -3*l + l**2 + 7 + 3*l**3 + 0*l**3 - l**2. What is the first derivative of a(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 - (2 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 v, and 1 s when four letters picked without replacement from sfufafsauvfsaufvssa.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1183401327 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - l**2 - 2*l - 2. Let f be p(-1). Which is the third biggest value? (a) -6 (b) 2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10751966832*y + 1 - 1 - 43*y**2 + 10751966832*y.\nAnswer: -43*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9112 and 408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 + 7*u - 16. Let a(j) = 8*j**2 + 8*j - 17. Let x(g) = 6*a(g) - 7*h(g). Calculate the least common multiple of x(2) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/(-8))\/(100\/400).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -741.1 - -2537.1. Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 - i**3 - 7*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let b(i) = 3992*i**2 + 2*i - 23. What is b(c(j))?\nAnswer: 3992*j**2 + 2*j - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12213 and 10856?\nAnswer: 97704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:23 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9407*l - 347922. Determine u(-37).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 9*z**2 + 9*z + 3. Let x(m) = m**2 + m + 1. Let l(t) = k(t) - 6*x(t). Let s(y) = -2*y**3 + 2*y**2 + 2*y - 2. What is 2*l(d) - 3*s(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 398399 or 22310291\/56?\nAnswer: 398399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*-1*(-14)\/(-4). Let n(v) = -6*v**2 - 17*v - 11*v - v**3 + 21*v - p. What are the prime factors of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 z when three letters picked without replacement from nltzpztni?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04875 + -0.54875. Sort n, 1\/2, 62 in decreasing order.\nAnswer: 62, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 - 89. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let t(q) = -15*q**2 + 11*q - 11. Let n(x) = -3*x**2 + 2*x - 2. Let l(h) = 22*n(h) - 4*t(h). Calculate l(j(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241 or -4705?\nAnswer: -4705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26892 divided by -16.\nAnswer: 6723\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*g**2 + 48*g**2 - 32*g**2)*((-1 + 0 + 2)*(0 + 1 + 1) - 7 + 2 + 2 + 2 - 2 - 2) to the form c + u*g + d*g**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**4\/8 - 2*o**3\/3 - 12. Factor f(l).\nAnswer: -l**2*(l + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*h = 683129 + 200663. Which is smaller: h or 8496?\nAnswer: 8496","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 10) in base 16?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 6. Let r be n(-4). Suppose r*i = 66 - 66. Solve i = m - 4*v + 5*v, 4*v - 3 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {r: 2, u: 4, d: 7, b: 4, n: 1}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 10*h**3 - 9 - 3 + 19*h**3 wrt h?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 5. Let h(d) = -2 + 5*d - 5 + 6*d - d. Let y(o) = 5*h(o) + 7*s(o). Let l(k) be the first derivative of 3*k**2\/2 - 1. What is y(l(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/56*-4)\/((-2)\/14). Differentiate 40 + 28*i**4 - 5*i**l + 11*i**2 - 6*i**2 with respect to i.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -28*k**2 + 16*k. Let n = 898 + -1791\/2. Let j(h) be the first derivative of 3*h**3 + 15 - n*h**2 + 0*h. Calculate -16*j(r) - 5*t(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 21325. Let c(k) = -k. Give o(c(h)).\nAnswer: 3*h + 21325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 47062*u**2 + 541171785*u + 296639988876.\nAnswer: (u - 23793)**2*(u + 524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**13*v)\/v))**(-37) assuming v is positive.\nAnswer: v**481","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-29)\/15 - (-8 - -6)). Is -10 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*b = -5*c + 148*b - 35, -4*c = 6*b + 46 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1432 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or -43?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 133 = -54*y - 512 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28763 is divided by 74.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2011*n - 10046. Calculate c(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h, 4*t - h = 4*h - 20. Let b = 2 + t. Let s(k) = 3*k. Let y be s(-1). Is b greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:31 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2139 - -2213. Calculate the remainder when 604 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1. Let s(x) = -6*x**3 - 7*x**2 - 31. Let t(l) = 7*l**3 + 8*l**2 + 35. Let z(a) = 9*s(a) + 8*t(a). Calculate f(r) + z(r).\nAnswer: 2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3683*b**3 + 5*b - 44?\nAnswer: 22098*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.448 and 4.\nAnswer: 1.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5\/9, 0.4, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213332858.\nAnswer: 2, 2089, 51061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - w**4)*(w - 4*w + 5*w) + (0*w**4 + 0*w**4 - 2*w**4)*(5*w - 3*w - 4*w) + 4*w**5 - 5*w**5 + 0*w**5 + (2 - 2 + w**2)*(w**3 - w + w).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from obrrziif.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 9*z - 3320. Let d = z + 1212. Suppose 0 = -3*h - u + 666, -u = 2*h - d + 105. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-four thirds of a century?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*w**2 + 5*w - 153*w**2 + 192*w**2 - 5*w.\nAnswer: 419*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 466 = 2*y - 0*y, 5*u - 10 = 0. Let o be (-112)\/y + 6\/(-9). Let r be (0 + (-1)\/5)*1. Which is the biggest value? (a) o (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 3822 = 16*u + 140*u - 13*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 1 + 5 - 40*z**2 + 1 to w*z + y + d*z**2 and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -22*r**3 - 46*r - 45. Calculate the remainder when 603 is divided by z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 + 0.43. Which is the nearest to u? (a) 0.4 (b) 2\/3 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 + -227. Suppose 0 = 2*t + u*m - 633, -t - 1277 = -5*t + m. What are the prime factors of t?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -71) + (-9)\/(-3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3132, -6279, -9416, -12537, -15636, -18707, -21744?\n\"Answer: j**3 - j**2 - 3151*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3245114 rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/18*(-7)\/105*-6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/35 + -3\/35. Suppose -5*c - 4*c = 0. What is the nearest to c in a, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*g - 2548*g**2 + 1285*g**2 + 1265*g**2 + 17 + 1 in the form c + a*g**2 + y*g and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqssusslssll. What is prob of picking 1 l and 2 s?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 - -101. Let d = 6.2 - 5.2. What is the nearest to d in 5, 4\/3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -20 - (0 + -3)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 11*b - 6. Let g be 8 - ((-20)\/(-4) - b). What is the second derivative of -9*m**5 + 14*m**g + 4*m + 2*m wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 37*w + 1. Let x(z) = z**2 + 45*z + 1. Give -3*h(f) + 2*x(f).\nAnswer: -f**2 - 21*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -870?\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/63)\/((-103)\/(-2163))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*t - 324*t + 16 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1629482*u**3 + 518*u**2 - 2*u - 363.\nAnswer: 9776892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 722\/8 - ((-38)\/8 - -5). Is 91 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 93. Let d(i) = -i**2 - 9*i - 18. Let p be d(l). Sort -11\/3, -1, -2, p in descending order.\nAnswer: p, -1, -2, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 28*r**2 - 28*r**2 - 10 + 5*r**3.\nAnswer: 2*r**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -190)\/(9\/(-6) - -2). List the prime factors of 1\/3 - (1 - a\/(-9)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 45 = 4*k, 0 = 2*u + 3*u + 5*k. Let p = -23 - -42. Suppose -22 - u = -5*w + 3*i, 0 = 5*w - i - p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -0.3, 2\/12541, -4, 0.017, 32, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7736 and -2099.\nAnswer: -16237864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/(-2))\/(-1 - (-2 + -1)). Let c(v) be the third derivative of v**6\/120 + v**4\/6 + 8*v**2. Let d(k) = -3*k**3 - 11*k. Determine l*c(s) - 4*d(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -25685\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/3 + 7*r**2 - 25*r - 3. Let i be p(11). Solve -2*g = 2*b - 8, 0*g + i = b + 5*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-3 + 5) - 62. Let m = r - -59. Let x(h) = -3*h - 2*h + m*h + 4*h. Let w(k) = 34*k - 2. Give w(x(y)).\nAnswer: -34*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(2\/80). Suppose 0 = 2*n + 5*g - 1, -3*g - g = w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2640 and 64960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -492*c + 244*c + 244*c. Let z be 4\/(-3)*9\/(-6). Let k(u) = 17*u. Let g = -5 - -14. Determine g*b(n) + z*k(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/12 and 107\/17028.\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let u(w) = -w**3 + w**2 + w - 1. Let k = -31 - -33. Let m be u(k). Determine c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/11 - 38*a**4\/11 + 252*a**3\/11 - 648*a**2\/11 + 432*a\/11 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.51 - 0.21. Which is the nearest to -0.1? (a) -1 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 160 = 12*h. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-147)*(-36)\/96*4.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-4 + 7 + -5 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2243213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43a40 + -310?\nAnswer: -44150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216109127 to the power of 1\/2, to the nearest integer?\nAnswer: 56711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1502 by -73960.\nAnswer: 751\/36980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24*(-1 - (1 + -3)). Suppose 7*q + 99 - 64 = 0. Let a = c - q. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 40*p - 40*p + 48 - 651*p**3.\nAnswer: -651*p**3 + p**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -245, -241, -237?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:06 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-16)\/(-10) - 16\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 7281077?\nAnswer: 50967539","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - -3.1. Let m = -1494 + 1493.9. Which is the closest to 0.2? (a) z (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 19. Sort -6, 3, v in decreasing order.\nAnswer: v, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1800)\/140 + 13)\/(1\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.52 * 0.3.\nAnswer: -7.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*x - 3*s - 11 - 37 = -408*x + 9, -6*x + 57*s + 1293 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163656 by 4.\nAnswer: 40914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281393.\nAnswer: 3, 47459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14657860?\nAnswer: 2, 5, 7, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40\/3 + 1166\/87. Let c = 9 - 11. Let g be (-5)\/(-10) - c\/4. Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5 = 0, -z + 0*t + 4*t = -25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 441155989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 5*m + 3*m - m**3 + 77*m**3.\nAnswer: 76*m**3 - 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 8*r - 6. Let n be l(-6). Let p be (-310)\/n - 2\/(-3). Find m such that p*m - 3*m - 8*m + m**3 + m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 64 = -2*b + 19. Let x(z) = 14*z**2 + 2*z + 1. Let l be x(-1). Solve 5*r - 2*w + b = 0, 15 = -r - 5*w - l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 18. Let p(c) = 4*c**3 - 7*c**3 + 7*c + 0*c**2 - w*c**2 + 7 + 5*c**3. Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 12*i + j + 1533 = 1534, 2*j = -j + 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1624573cm in micrometers?\nAnswer: 1624.573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = 8*u. Let c be (u\/(-5))\/(0 + -1)*-2. Suppose k = -c*s + 625, 2*s - 257 = 5*k + 50. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b5 (base 14) to base 10\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = -n. Sort n, -4, 11 in descending order.\nAnswer: 11, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 45*m**4 + 74305*m**3 + 223245*m**2 - 297500*m = 0. What is m?\nAnswer: -125, -4, 0, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2134 * 197\nAnswer: 420398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 2, q: 3, j: 7, e: 7, r: 1}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:58 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6342056*h**2 + 6342058*h**2 - 9*h - 1 + 0*h)*(-3*h**2 - 3*h**2 + 3*h**2) as n + f*h**4 + i*h**2 + a*h**3 + d*h and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/17 + 41096*b\/17 + 10946586\/17.\nAnswer: -2*(b - 20811)*(b + 263)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3167610\/31055*3*(-2)\/(-12)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -230\/3. Is -2\/25 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 1201221?\nAnswer: 1202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2. Let g(l) = -l**2. Let h(m) = -22*g(m) - 4*u(m). Let q(a) = a - 3. Give q(h(k)).\nAnswer: 2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -0.4, -1 in descending order.\nAnswer: 1, 0.5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 13*b**6\/720 + 5*b**4\/24 + b**3 - 2*b**2 + 3. Let g(z) be the second derivative of k(z). Let a(s) = -5*s**2. Give a(g(c)).\nAnswer: -845*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 - 236*z**2 + 4512*z = 0.\nAnswer: 0, 24, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 2*z**3 + 30 + 102*z + 21 - 123*z - 52 - z**3 to w*z**2 + g*z**4 + u + p*z + b*z**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1\/4)*j*j**(-7) assuming j is positive.\nAnswer: j**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/227 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 41 = -5*g, 5*u - 9*u - 12 = g. Sort g, -5, -2.\nAnswer: g, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111 - 4 - -219) + -138\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d**3*j**2 - 344517*d**3*j + 8*d**3 - 1033*d**2*j - 5*d*j**2 - 996*j**2 - 2 wrt d?\nAnswer: -222*j**2 - 2067102*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5461890 to the nearest integer?\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -1, o - 9 = -2*n. Let m = n - 3. Suppose -b + 1 = -4*t, 0*b + 4*b - t + 11 = m. Does b = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 432698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let i(k) = -k**2 + 6*k - 7. Let c be i(3). Let j(o) be the first derivative of 4 - 10 - 2*o**2 - c*o**2 + 15. Determine b(j(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-25) + 2*865\/(-250))*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 6, 22, 58, 120, 214, 346, 522?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.067, -4, 242\/5, 24, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {p: 1, x: 1, k: 2, l: 3, s: 1, q: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6406051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 2:47 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-1 - 0) - (-47 + 99 + -50). Solve -5*h + 29*s - 35 = n*s, 4*s + 17 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - -198. Let p = r - 21. Suppose p = -q + 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6858965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021 - -13?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -47*c + 968. Give t(21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294363545 to the nearest integer?\nAnswer: 17157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, e: 2, m: 2, p: 2}. Give prob of picking 3 f and 1 e.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4247, -8561, -12875, -17189?\nAnswer: -21503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 216 and -0.5?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 218603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.26 times -0.1351\nAnswer: -0.440426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -50*(0 + (-3)\/6). Let l = -35 + n. Let q be (l\/(-12))\/(-1) + 1. Do q and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 571870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 13) in base 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 778 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1317 and 5?\nAnswer: -6585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44471429.\nAnswer: 41, 1084669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63470137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p = 43*p + 15*p + 34*p - 2380 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.4, 0.2, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let o(j) = j + 1. Suppose -3 - 2 = -5*w. Let x(t) = -t**3 + 5*t**2 - 7*t - 5. Let a(y) = w*x(y) + 4*o(y). Let i be a(4). Calculate q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*y = -498*y + 172*y - 295*y + 71553 for y.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 4*x - 2 - x - 2*x. Let o be q(-3). Suppose o*h - 485 = 615. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21 = -o. Suppose -4*y + 25 + o = 0. Suppose -y*b + 260 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 536. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -174*a**2. Let v(d) = -5932919*d**2. Determine g(v(p)).\nAnswer: -6124717847737614*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*y + 5*w - 0, -4*w + 7 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1300, -1303, -1306, -1309, -1312?\n\"Answer: -3*s - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6549218 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3542 (base 15) to base 7.\nAnswer: -44660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 483 - 214. Suppose 0 = -10*k + t + 1. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 1493, 3844, 7635, 13148?\nAnswer: 20665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -532, -4\/3, -428 in ascending order.\nAnswer: -532, -428, -4, -4\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185120877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 61*j - 7. Let c be z(5). Suppose o + o - c = 0. Suppose 4*p = p + 5*s + 532, p - o = -4*s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -59. What is the third derivative of -59*s**3 - 15*s**3 + 3 - 5*s**3 + c + 4*s**2 wrt s?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506 by 5.\nAnswer: 506\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*p + 131 - 403 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.62 - -6.\nAnswer: -8.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 6}. What is prob of sequence qll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/(-6)*(-22 - -19). Suppose -11 = -3*g + n. Suppose -7*y = -g*y + 1248. Is 29 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5456 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 1. Let z be n(1). Solve 0 = -z*h - 0*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 0.5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-10))\/((-123)\/410). Let r(m) be the second derivative of -m**5\/20 - m**4\/4 - m**3\/2 - 8*m. Let s(y) = y**2 + y. What is i*s(p) + 4*r(p)?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -846, -4 in increasing order.\nAnswer: -846, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(528))\/sqrt(11).\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*z + 24, -5*z = 4*w - 6*z - 8. Suppose 6 = 2*s, -4*u + 4*s + 800 = -0*u. Let m = -3047\/15 + u. Is w < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28162624, -28162619, -28162614, -28162609, -28162604?\n\"Answer: 5*j - 28162629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -5405*c**4\/24 - 474*c**3 + 9*c**2 + 313*c. What is the first derivative of d(j) wrt j?\nAnswer: -5405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 17*s**2 + 17*s + 178. What is the lowest common multiple of k(18) and 848?\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.064 and 0.2?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -120, -1782 in increasing order.\nAnswer: -1782, -120, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = 2*n, -3*n + 4*g = g + 3. Suppose 603 = -460*i + 527*i. What is the closest to i in 1, n, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k - 62. Let i(r) = -2*r - 29. Let p(t) = 2*i(t) - s(t). What is p(-23)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7583, -15169, -22757, -30347?\n\"Answer: -p**2 - 7583*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 - (-482 - -505).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(56)\/sqrt(8)) - (4 + sqrt(304)).\nAnswer: -3*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 0, 0*d - 114 = -4*i + 2*d. Suppose 2*m - 3*m = -i. Let r = m + 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhbhh. What is prob of sequence hbh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w + 4. Let d be x(0). What is the derivative of -2*p**4 + 26*p**d + 10*p**4 + 54 wrt p?\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 23*p - 43. Let n be i(13). Which is the closest to 1\/3? (a) -2\/17 (b) n (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/27, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -226953.22811 and -2.4.\nAnswer: -226955.62811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 6. Let g(x) be the third derivative of -5*x**4\/24 + 17*x**3\/3 + 91*x**2. Let l be g(5). Determine j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/38716321 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scqcddl. What is prob of sequence cdq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 25*o + 1. Let z be w(-3). Let m = 28 - z. Let p = m + -66. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*v - 13 = -2, 23 = 4*m + 3*v. Suppose 0 = -4*t + 4, -m*n + 1495 = -4*t - 58001. What is n rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.085 and 2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 11*i + 17. Suppose 4*o - d - 11 = 0, -4*d + 6*d = -4*o + 26. Let j(y) = -5*y**2 - 2 + 5*y + 2 - 4 - o. What is -13*j(f) - 6*r(f)?\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9939)\/(-3) + -1 + 2. Suppose 0 = -5*h + 686 + r. What is h rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*(o\/(o**(8\/3)\/o))\/o*o*o**(4\/11)*o*o*o**2)\/((o\/o**(-1\/4))**(2\/151)*o**(-8)\/o*o\/(o**(-7)*o)) assuming o is positive.\nAnswer: o**(116407\/9966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzzzzoozz.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 133505 (base 8) to base 13\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(36\/20 + ((-36)\/(-30) - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15, 2\/23, 26, 1, -5, 0, -0.5 in increasing order.\nAnswer: -5, -0.5, 0, 1\/15, 2\/23, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8169 a factor of 1569779547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24 and (1349\/(-355))\/((-2)\/(-5)*17)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Let i be (65\/(-20))\/(-13) - (-11)\/(-12). What is the nearest to i in 3, t, 4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 11*b**2 - 3*b - 17. Give a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122598873 to the nearest integer?\nAnswer: 11072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -887 - -5315\/6. What is the smallest value in a, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -118*x + 121*x. Let o be -1 - x - (-2)\/6*1. Which is the nearest to -0.1? (a) -5 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -21. Let j = 2477 + -2481. What is the nearest to j in t, 1, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5618 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**5\/150 + z**4\/60 - 2*z**3\/15 - z**2\/2 + 3. Let b(h) be the second derivative of g(h). Let b(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.031? (a) -0.4 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16aeb21 - -b?\nAnswer: 16aeb2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.83 + -33.83. Which is the biggest value? (a) 4 (b) o (c) 0.2 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 56*c + 669. Let l be q(42). Calculate the greatest common factor of 1026 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/693 and 8\/123?\nAnswer: 28413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1033600\/(-170))\/16)\/(8\/(-2))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*s - 4)*(5*s - 2*s - 2*s)*(2 - 15 + 5).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = k, -4*k - 5*q + q = 0. Let v(c) be the third derivative of 0*c**4 + 1\/180*c**5 + k + 0*c**3 + 0*c + 1\/180*c**6 - 3*c**2 + 1\/630*c**7. Factor v(h).\nAnswer: h**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 2. Let w be x(-6). Let k = w + 13. What is the remainder when 31 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*w**2 - 154*w**3 + 91*w**2 - 118*w**2 wrt w?\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*p - 2223 = -508 + 1085 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-904)\/(-18) + 6\/(-135)*5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, 3, 0.23, -1.2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 8. Let r be 10\/45 - 50\/(-18). Let j be 6\/45*r - 1. Put j, q, -1 in increasing order.\nAnswer: q, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2813 + 30953\/11. What is the nearest to 6\/7 in o, 2\/5, 0.2, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052, -2115, -3182, -4259, -5352, -6467, -7610, -8787?\nAnswer: -10004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -126 (c) -33 (d) 0 (e) -1\/14 (f) 4\/3 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieii. Give prob of picking 1 i and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9520, 21408, 33296, 45184, 57072?\n\"Answer: 11888*o - 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -9*o + 72. What is the units digit of 16\/o + (-410)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965740 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 93 and 0.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 2*q**3 - q**3 + (29*q**2 + 18*q**2 - 7*q**2)*(95 - 95 + 23*q).\nAnswer: 919*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -182537*5\nAnswer: -912685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 2*u**2 - 21188 + 21188 - 6*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 189930859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2 + (-24)\/9). Let c = 8 - r. Solve 0 = -t + c - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) - 2\/4. Suppose -6 = -5*m - 3*w, 3*m + 2*w - 3 = -d*w. Let b(q) = -3*q**m + 3*q**2 + 0*q**3 + 4*q**3 - 3*q. Calculate b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:44 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 0 + 0)*(5*c + 2*c**2 - 5*c) + c**5 + 0*c**3 + 0*c**3 + (-4*c**3 + c**3 + 2*c**3)*(-40*c + 40*c + 7*c**2).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(sqrt(170) + sqrt(170) + -1*sqrt(170) + sqrt(170))*1)\/(-2*sqrt(490)*-1 - (-1*sqrt(490)*4 - sqrt(490))) + 1.\nAnswer: 10*sqrt(17)\/49 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 2*j**2 - 10*j - 10. Let s(o) = -62*o**2 + 4*o - 2. Let b be s(1). Let w = 57 + b. Does 11 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 229\/3418800 and 127\/7700.\nAnswer: 3418800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t + 34535 + 90681 = 101*t. Calculate the least common multiple of t and 38.\nAnswer: 45752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-168)\/(-9)) - (-342)\/16. Suppose 2*a = 3*n - 12, -2*n - z*a + 8 = -20*a. Calculate the highest common factor of 244 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200436577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 8384?\nAnswer: 41920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 224*l**2 - 77*l - 79. Let g be s(-1). Calculate the greatest common divisor of g and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -15. Suppose 2*j - 7*j + 170 = 0. Suppose -c = -w - j. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 11, 89, 241, 491?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -540.93 + -1175.2. Let k = q - -1699. Round k to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**3 + 0 - 1\/4*n**4 + 1\/5*n**5 + 0*n**2 - 4*n. What is the third derivative of r(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (29 - 45)) + -7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -202 and -0.5.\nAnswer: -202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 30*s - 60. What is f(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22176)\/11760*15*1\/9.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42784.37 - -683017.\nAnswer: 640232.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 30*l**2 + 2*l - 3. Let q be w(2). Let s = q - 83. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 3. Let s(k) = -9*k**2 - 133*k - 479. Let y be s(-6). Let m(x) = x - 2. Determine y*m(a) + 2*f(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**9\/30240 + k**8\/10080 + k**7\/2520 - k**6\/360 + k**5\/15 + 3*k**2. Let r(t) be the third derivative of n(t). Factor r(p).\nAnswer: -2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.166 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 222*i - 12. Is 55 a factor of a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44065569 divided by 3?\nAnswer: -14688523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 521 - 67 = 0. Let b = x - 96. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000162562011 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6432\/(-64))\/((-9)\/78).\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*v = -p - 6, 0 = 5*v. Let q(h) be the second derivative of 2*h**2 + 1\/12*h**4 + h**p + 0 + 2*h. Give q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 3*z. Let r = 10 + -8. Let a be j(r). Solve -g + 2 = -5*q - 20, a*q - 3*g + 14 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 381324 (base 13) to base 16\nAnswer: 14864d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38990?\nAnswer: 2, 5, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2432041 litres in millilitres?\nAnswer: 243.2041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:10 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r + 19 + 3*r - r.\nAnswer: 2*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1158457\nAnswer: 347537.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzpp when four letters picked without replacement from {p: 11, z: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782801?\nAnswer: 613, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m*n*s + 2*m*s - 4*m - 80*n - 21*s wrt s.\nAnswer: -8*m*n + 2*m - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1223 + 1111433?\nAnswer: 1113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3853250 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**4 + n**3 - 3*n. Let y(v) = -323*v**4 - 68*v**3 + 204*v - 187. Let k(j) = y(j) + 68*z(j). Differentiate k(h) with respect to h.\nAnswer: -1020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*j - 97 = 2*s, 2*j + 23 = s. What is the remainder when 167 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4 + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1689967960 from 1.21.\nAnswer: 1689967961.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -241, -239, -235, -229, -221?\n\"Answer: i**2 - i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = 12. Let a be ((-9)\/w)\/3*0. Which is greater: 2\/11 or a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)\/a**(-13) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 928*j + 430592.\nAnswer: (j - 928)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 - m + 4. Let n be b(3). Suppose -2*p - n = -q - 12, -p + 19 = -5*q. Solve -p = -2*w - 4*u - 2, -4*u - 3 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (-113)\/(6102\/(-2160))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.93 - -0.07. Let j = 35.941 - m. What is j rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = s - 5*u - 13, -2400*s - 16 = -2398*s + 5*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 3*s**2 + 3*s - 2. Let i(w) = 3*w**3 - 2*w**2 + 2*w - 2. Give -3*i(j) + 2*p(j).\nAnswer: -5*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.013? (a) -22 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:42 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 103488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 0. Suppose f + m - 3 = j, 0*m = 3*m. Let p be ((-1)\/(-1))\/(f\/15). Solve -5*y = -5*q - 30, -7 + 1 = -q - p*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1558*v**3 + 4409*v + 2*v**4 - 2*v**4 + 107*v**5 - 91*v**5 - 18*v**5 wrt v.\nAnswer: -40*v**3 - 9348*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.69\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-4 + -3 + 6). Let i(k) = 10*k + 3. Give i(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2877 by -137.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 2*f. Let t be q(2). Let z = t + 0. Is 2\/z - 274\/(-8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 72. Which is the nearest to 1\/3? (a) l (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2246, 2237, 2214, 2171, 2102?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 647 - 429. Let t = g + -120. Calculate the remainder when t is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28873842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420314.2 micrometers to kilometers.\nAnswer: 0.0004203142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 182 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose 0 = 3*z - 15, t*z - 17 = -a + 5. Is ((-5045)\/30*-2)\/((-1)\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -22*t**2. Let l(x) = 28*x - 10. Let j(p) = 22*p - 10. Let b(z) = 5*j(z) - 4*l(z). What is d(b(v))?\nAnswer: -88*v**2 - 880*v - 2200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -56*f. Let t(y) = 2340529*y**2. Give g(t(x)).\nAnswer: -131069624*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 47 + 26 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from trhlttrryhw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1510.4*-0.18.\nAnswer: 271.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -11*r**4\/4 + r**3\/3 + r**2\/2 + r + 2. Is i(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.50929 - 0.10929. Let u = 31 - 29. Which is the nearest to -2? (a) -2 (b) j (c) -0.03 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 5*3*(sqrt(288) - (-4*sqrt(288)*-2)**2))*-3.\nAnswer: -2160*sqrt(2) + 3317820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 1947 - 19. Let v = 169 - b. Is (-106)\/1*v\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 248\/5. What is the nearest to n in 2, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-18 + -11 - -107 - 15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*s - 21, -5*s - 15 = -3*a + 22. Let k be 1*a*(-7)\/2. Let f = k + 36. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102648?\nAnswer: 2, 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-70)\/(-49) - 772\/28) + 9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343 or -28494\/83?\nAnswer: -28494\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a**3 - 2*a**3 - 2*a**3)*(-3*a**2 + a**2 + a**2)*(-3 - 1 + 3).\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from hlhahhwlw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 6*o**2 - 2*o**2 - 5*o + 5*o.\nAnswer: -8*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qldydllqqeec?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 7, a: 1, v: 7}. What is prob of picking 2 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 - 3*l + 2. List the prime factors of a(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48428507.\nAnswer: 48428507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r**3 - 141*r**2 - 5*r - 5. Let x(f) = -8*f**3 - 70*f**2 - 3*f - 3. Calculate 3*b(q) - 5*x(q).\nAnswer: q**3 - 73*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8 - 6. Let t be (-283199988)\/48 + u\/(-4). Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -127*f**2 + 4*f - 5 - 83*f**2 + f**3 + 212*f**2. Let r(w) = -w**3 - w**2 - 3*w + 4. Give 3*j(c) + 4*r(c).\nAnswer: -c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2991\/13 - 75841\/325. Let h = u + -4\/75. Find the common denominator of h and 65\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 713, 379, -163, -901, -1823, -2917?\n\"Answer: 2*m**3 - 116*m**2 + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110220121 + -11?\nAnswer: -1110220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 21, -1, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) + 1)**2 - (sqrt(13) + (sqrt(78)*-3)\/sqrt(6)).\nAnswer: 4*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 370*i + 6845.\nAnswer: 5*(i + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 6*x + 6. Let y be (7 - 1)\/(1 + -2). Let r be c(y). Suppose -k = 4*t - 15, -2*k = -2*t + 11 - 1. What is the highest common factor of r and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 72*i = 69*i + 65, 3*i = -4*p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 7*y**2 + 12*y - 15. Suppose b + 6 = 4*b, 3*g - 2*b - 17 = 0. Is i(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 11 = -3*w, 0 = 3*w + 1 + 8. Let f be 3 + -5 - 21\/s. Let o = 54 - f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17039022631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 21 = 4*o - 4*f, 0 = 4*o + 4*f. Let h be 20\/6*(-1 + 33\/15). Let d(l) = -o*l - h - 3*l**2 + 4*l - 2*l + 4*l**2. Calculate d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67107013 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + a. Suppose 16*g - 14*g - 8 = a. Solve 2*b - 7 = 3*h - 2, 25 = -h - g*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adg when three letters picked without replacement from ydghadss?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38353 - -735?\nAnswer: -37618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -2, 6, -1, 5785 in ascending order.\nAnswer: -4, -2, -1, 6, 10, 5785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j - 47. Let b be w(-17). Let f = b + -188. Are -49 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164224 is divided by 149?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 2007, 3938, 6473, 9618, 13379?\nAnswer: 17762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 14*r**4 - 8614*r**3 + 62212*r**2 - 119216*r + 29184 = 0.\nAnswer: 2\/7, 3, 4, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5) - (-552)\/720?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/18408)\/((165\/(-36))\/(-11))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5620199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21267655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b. Is 5*(2 - (b - -1)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*q - 101*q + 146776 = k, -2*q = -k + 146772. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1569236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*s + 35. Suppose s = 4*m - 6. Suppose -3*n - 1 - 5 = 0, 2*n - 11 = -3*a. Solve -38 = d + a*h - 15, -5*d + m*h = -30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 52*h + 6. Let a(p) = 19*p + 2. Calculate 7*a(u) - 2*r(u).\nAnswer: 29*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o. Let i(t) be the second derivative of 13*t**3\/6 + 210*t - 4. Determine i(p(x)).\nAnswer: 91*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1659069925 and -0.5?\nAnswer: -829534962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1001 and 127\/38038?\nAnswer: 38038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 40795 = 3*g, f = -2*g + 3324 - 30519. Round g to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c - 3*c + 5*c + 0*c + c - 1 + 1 + (0*c + 3*c - c)*(2 - 3 - 11) + 3*c - 3*c - c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 43 (b) 0.13 (c) 0.5 (d) -74 (e) -100 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 747 - 797. Let z(o) = 12*o - 5. Let g be z(5). Let h = g + m. What is the remainder when 14 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 8. Let k be q(5). Suppose k*z - 28 = z. What is the least common multiple of 20 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105845649.\nAnswer: 3, 7, 13, 109, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2919 and 620067?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a - 54. Let q(d) = 8*d + 29. Let b(n) = 6*j(n) + 11*q(n). Calculate b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135965019 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + 1. Suppose 0 = -3*s + j - 2*j + n, -j + 1 = 0. Suppose -a = s*a - 60. What is the least common multiple of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104, -202, -302, -404, -508, -614, -722?\n\"Answer: -q**2 - 95*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 - 3 = 0, 2 = t + 2*r. Let o = -1 + t. Let p(v) = -v**2 + 14*v + 15*v + 4*v**2 + v**3 - 28*v. Determine p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1890 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*m = -74*m - 357. Let r = 139 + m. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-11)*35\/15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1058 * 1.383.\nAnswer: 0.1463214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329360.8830228 - -329361. Let f = -257.117 - -257. Let q = y + f. Round q to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m**4 + 7*m**3 + 1. Suppose -10 = 2*s, -t + 4*t + 46 = -5*s. Let x(f) = 6*f**4 - 5*f**3 - 1. Let g(u) = t*x(u) - 5*k(u). Differentiate g(d) wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123815245?\nAnswer: 5, 24763049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/6, -290, -18147 in increasing order.\nAnswer: -18147, -290, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2889227 and 4.\nAnswer: -11556908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9106\/7, -13.3, -0.2, 0.06 in decreasing order.\nAnswer: 9106\/7, 0.06, -0.2, -13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0 + 2*p**2 + 7\/60*p**5 + 0*p + 0*p**4 - 1\/6*p**3. Give z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 5*c - 3. Let v be l(6). Suppose 15 = -0*j - j + i, v*j - i + 35 = 0. Let o be j\/25 + (-2)\/10. Which is greater: o or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*h = 23, -1 - 8 = -2*o - h. Suppose 35 = o*l - 5. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -27, -40, -55?\n\"Answer: -o**2 - 8*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 0. Let m(c) = -c - 2. Let k be m(-4). Let b = -5 - -9. Solve 0 = b*l + o + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -2, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 60*g + 727. Let y be b(-12). Let n(l) = -22*l**3 - 9*l**2 + 7*l. Let j(s) = -11*s**3 - 4*s**2 + 3*s. Give y*j(c) - 3*n(c).\nAnswer: -11*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 499625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18\/5, -1, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1230, 2450, 3672, 4896, 6122, 7350?\n\"Answer: a**2 + 1217*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 + 2*v. Let q be f(-2). Let d be 523600008\/q - 4\/14. What is d rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 9 = 3*i, 3*o + 5*i - 109 + 108 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 12*b + 12. Let k be f(10). Let x = k + -22. Let c = 209\/7 + x. What is the second biggest value in 5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 + 12 + 21*r**2 - 20 + 9 to the form k*r**2 + n*r + x and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (15 + -7 + 2 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35607.224 or 2\/5?\nAnswer: 35607.224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5169*h. Let d(t) = 525*t**2. What is d(j(o))?\nAnswer: 14027244525*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**3 - 6*h**2 - 16*h - 26. Let p(i) = 20*i**3 + 16*i**2 + 45*i + 76. Let b(o) = -6*p(o) - 17*z(o). Give b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - b9?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -234997.26 to the nearest ten.\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 13) to base 2.\nAnswer: 110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 440209 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -71. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 361488?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -225799*f**2\/4 + 225759*f\/2 + 40 = 0. Calculate f.\nAnswer: -80\/225799, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38057, 77234, 116411?\nAnswer: 155588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/(8\/112). Suppose -3*s = -5*i - 11 + 2, 0 = -4*s - 4*i + l. Suppose -s*x = 3*r - 126, -133 + 34 = -2*r + 3*x. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427 + -428. Let j = 0.1 - 0.1. Is j > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - 2\/6. Let x = -44 - -47. Let z be -2*x*3\/(-81). Which is the second biggest value? (a) z (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - -27.9. Let x = m + -29.8. Let t = x - -0.932. Round t to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76486 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2f0 (base 16) to base 2\nAnswer: 1011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + 2 + sqrt(98) + (3 + 1 + sqrt(98) - sqrt(98)))**2 - (-4 + 4*(sqrt(98)*-2 + sqrt(98)))**2) + 5.\nAnswer: -1447 - 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - -0.1. Let n be (-7 + 5)\/((-1)\/5). Suppose -n = -0*o - 2*o. What is the closest to o in x, -1\/8, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4629 + 38 = 422*k - 6581 + 276 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/147? (a) 2\/9 (b) -6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800037 divided by 119.\nAnswer: -6723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 8. Let l be (-3)\/(-2)*-2 + -1. Let w be o(l). Let k = w - -9. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2440016*o**2 - 2440130*o + 114 = 0.\nAnswer: 57\/1220008, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - 219\/(-24))*4*14. Sort r, -2\/17, 0.1 in decreasing order.\nAnswer: r, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 18*k**2 + 11*k + 10. Does 20 divide m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2. Let q(p) = -p**3 - 10*p**2 + 9*p - 26. Let k(n) = 3*n - 5. Let a be k(-2). Let h be q(a). Sort 5, h, v in ascending order.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 9692 - 3188. Suppose -34*a - 12*a + x = 0. Which is bigger: 279\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 16. Let s be t(11). Let p(h) = -3*h**3 + 7*h**2 + 4*h + 32. Is p(s) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -11) + -5 - 15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 9*v + 7*v - 4*v + 58*v**2 - v**4 - 61 to the form b*v**2 + w*v**3 + q*v + l*v**4 + t and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7132.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + -3*sqrt(128) + sqrt(8)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16587a4 (base 11) to base 5.\nAnswer: -1210311211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 9:25 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**2 - 7*v**2 + 20*v**2 - 2*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (35\/28)\/(2\/8). Solve 5*j = 5, -r + 4 = -3*j + i*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v*z**2 - 5179*v*z + v + 1575107*z**4 - 11*z - 2 wrt z.\nAnswer: 12*v + 18901284*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16669 - -16668.00024. Let o = 0.7 + 0.3. Let k = h + o. Round k to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {t: 11, d: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u = 48*u + 7. Is 21\/59 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 53430 = 2*k. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161*3791.4\nAnswer: -610415.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23551088 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -411, -0.4, -2, -1, 8, -0.3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3031668241.\nAnswer: 7, 8243, 52541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18)*4)\/(30*2\/144)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*l + 36 = 0, -4*x + 7*l - 35 = 10*l for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(3\/29)\/((c\/c**(-1))\/c)**(-5)*((c**(-1\/5)\/c)**(1\/16))**12 assuming c is positive.\nAnswer: c**(2393\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let h = 18 + -8. Let n(v) = v**3 - 10*v**2 - v + 5. Let o be n(h). Give w(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802*i = 830*i - 168. Sort -4, -2, 7, 0, i in decreasing order.\nAnswer: 7, i, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512963?\nAnswer: 11, 46633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9524.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 8*d + 4. Solve -d*b - 3*g - 9 = 1, 0 = 5*g + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 8)\/(1 + 0). Suppose i - s = -z, i + s + 3*s = 4. Solve i = 3*h - 3*o - 15, -19 = h + 6*o - o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 96 - 588 = -5*r, -264 = -2*r + 2*n. What is the greatest common divisor of 243 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 71, 169, 305, 479?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n**4 + 2*n**3 - 4*n. Let z(q) = -q**4 + q**3 + q. Let m(y) = -c(y) + 2*z(y). What is the second derivative of m(s) wrt s?\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -9*y - 345. Factor -1\/2*j + 0 + 1\/2*j**4 - 1\/2*j**2 + 1\/2*j**y.\nAnswer: j*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43\/5*b**2 + 7\/5*b + 0 + 6\/5*b**3.\nAnswer: b*(b + 7)*(6*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1496 - -26923\/7480. Let o = -83 + 193\/3. What is the common denominator of t and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131*-128\nAnswer: -16768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*h + 117791, 2*s + 5*h - 27418 = 19655. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 23*q**8\/1680 + 7*q**4\/24 + 3*q**3\/2 + 2*q. Let n(y) be the second derivative of k(y). What is the derivative of n(b) wrt b?\nAnswer: 92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 23*w**2 - 48*w + 5. Let l be r(-24). Let c = l + -40. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18465, -18478, -18501, -18534, -18577?\nAnswer: -18630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -35. Solve -3*w + 21 = 4*k, 11*w + 9 = r*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 2. Let n(l) = 1. Calculate b(h) + 2*n(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140024 + 4?\nAnswer: -140020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2491318, 2491321, 2491328, 2491339?\n\"Answer: 2*y**2 - 3*y + 2491319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95.5 - -96.5. Which is the third biggest value? (a) 1\/9 (b) -28 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1287?\nAnswer: 2\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 11*t**2 + 10*t + 7. Let r be x(10). Suppose 3 = -4*c + r. Let w = 4.1 + -4. What is the closest to w in 2\/9, 4\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/6 + 1684*c**2\/3 - 182269*c\/6 + 29817 = 0.\nAnswer: 1, 54, 3313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 13*k**2 + 6*k. Let a(s) = 26*s**2 + 13*s. What is -6*a(j) + 13*w(j)?\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/7, -4, 0.588, -0.02, 22.\nAnswer: -4, -2\/7, -0.02, 0.588, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2212427.\nAnswer: 7, 113, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 22 + -3 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = a + 8, 4*y - 2*a + 8 = a. What is the nearest to y in 4, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 0*p**2 + 0*p**2 + (4 - 2 + 0)*(-2*p**3 + 5*p**3 - 2*p**3) - 89*p**2 - 7*p**3 + 89*p**2 + 2*p**2 - 2*p**2 + 8*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*q + 16 = 2*i, 20 = 5*i - 5*q. What is the derivative of 61 + 25*t - 12*t + 19*t**2 - 9*t + 4*t**i - 9*t wrt t?\nAnswer: 46*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a058 (base 11) to base 14.\nAnswer: 16c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -84267, -84166, -84063, -83958, -83851, -83742?\n\"Answer: m**2 + 98*m - 84366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 345b + 5?\nAnswer: 3462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10293 - 28663. Let a = d + 856. Round a to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4 + 38. Let y be h\/70 - 399\/(-5). Suppose 3*x + 8 - y = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161262\/115 = 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 106*t - 10107. Let a be k(-66). Calculate the highest common factor of a and 7968.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -22*k**2 - 608*k + 86. Give m(-28).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12239171676 - 1.6.\nAnswer: 12239171674.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131, -927, -3081, -7271, -14175, -24471, -38837?\n\"Answer: -113*x**3 - x**2 - 2*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(684)*1 - -4*sqrt(19)*-2 - (-5*(sqrt(209) + 1*sqrt(209)))\/(-1*sqrt(704))).\nAnswer: -13*sqrt(19)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-5*f - 11*f**2 + 5*f + (-f - 3 + 3)*(-5*f + 0*f + 3*f) + 116*f**2 + 117*f**2 - 170*f**2 + (-1 + 1 - f)*(3*f + f - 2*f)).\nAnswer: 104*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8190\/(-280))\/((-6)\/128). Suppose -4*u + 806 = -3*n - 462, 2*u + n = h. What are the prime factors of u?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 257 - 1?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 + 210. Let d = 75 + -340. Let f = 545 + d. What is the highest common divisor of f and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 161.41296 hours?\nAnswer: 6.72554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 8122?\nAnswer: 8121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.91 - -0.09. Put -2, 0.06, -0.3, c in descending order.\nAnswer: c, 0.06, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -190e?\nAnswer: 190a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 73\/(-3)*(-5 - -2). Suppose -10 = -5*h + 3*p + 2*p, 3*p = -4*h + 15. Suppose 4*i = -h*j + 9*i + l, -2*j = -3*i - 47. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + j = -1563, 44*k - 1554 = 39*k - 2*j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from smzssssmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69326 in -2, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:38 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 12 - 6*v**2 + (2*v - 4*v + 3*v)*(-6*v + 3*v + 4*v) + 0*v**2 + 4*v**2 - 2*v**2 in the form f*v**2 + h*v + y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 25 = 0. Suppose -h*y = -2*l - 3 - 3, 2*y = 2*l. Determine s so that 2\/7*s - 2\/7*s**l - 2\/7*s**3 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114244304 (base 5) in base 9?\nAnswer: -1013473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 1205150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**4\/2 + 9*h**3 + 9*h**2\/2 - 30*h + 18 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(1\/3)*j*j))**23*(((j*j**1\/j)\/j)\/j)**(4\/37) assuming j is positive.\nAnswer: j**(-6820\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102870 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*m - 168*m = 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5116 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*t**2 + 285*t**2 + 267*t**2 + 286*t**2.\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose -5 - 1 = h*g. Let n be ((-6)\/7)\/(g\/14). What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = 3. Let k = 5 - 6. What is the least common multiple of 6 - (k + 1 + 0) and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/538 and (-8550)\/1064 - (5 - 13\/1).\nAnswer: 7532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/119 + 4\/17. Let t be 1\/9 - 1 - (-276)\/1242. What is the nearest to t in 0.12, 0.3, b?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 + 305. Suppose 21 = 4*f - 35. Calculate the greatest common divisor of f and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/56 and -23\/196.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2736*h**6 + 276*h**3 + 133*h**2 - 354*h + 7 wrt h.\nAnswer: 328320*h**3 + 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.038 + -55.962. Let f = u + 38. Let a = f + 18.35. What is a rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36 times 7.73?\nAnswer: -10.5128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * -8.7\nAnswer: 2.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5351005.\nAnswer: 5, 11, 17, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.033 - 0.033. Let b = -14.88 + d. Round b to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4824.672 centuries to decades.\nAnswer: 48246.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 48*y**2 + 23*y + 100. Suppose 60 - 12 = -4*v + 4*d, 4*v + 4*d + 8 = 0. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 2, -0.2, 1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 640374341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/49 + -3\/245. Which is the fourth biggest value? (a) j (b) -2\/23 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = 5*f, -6 = -3*f - 2*s + 6. Let j(h) = 2*h**2 - h - 2. Let b be j(f). Let r = -492 - -496. Do b and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707836 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 712*d - 2157.\nAnswer: 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11490 is divided by 1634?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1233*w**6 + 1668*w**2 - w?\nAnswer: -147960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v**5 + 0*v**6 - 29*v + 29\/6*v**3 + 0 + 2\/15*v**7 + v**2 + 0*v**4. Differentiate l(s) wrt s.\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.7222414231 and -97.4?\nAnswer: 102.1222414231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 263864207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28847 and 2443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.3 + -13.299664. What is x rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38693389 - 10995.7\nAnswer: -38704384.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + x)*(4*x + 3*x - 6*x) - 90*x + 90*x + 3*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24989 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2052 (b) 1\/8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 181 (b) 1\/3 (c) -2\/17 (d) -3\/7 (e) -0.2 (f) -8.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -200.1. Which is the nearest to 0.1? (a) 0.7 (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k**2 - 27*k - 54. Let f be p(7). Which is the closest to 50? (a) f (b) 21 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**5\/z))**36*z*z\/z**(-2\/63)*z*z**(-3) assuming z is positive.\nAnswer: z**(-6802\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 16. Let p = l + -8.7. Which is the third biggest value? (a) -2 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -2, 0.024 in ascending order.\nAnswer: -48, -2, 0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*c + 56, -4*t - 4*c + 81 - 21 = 0. Suppose -19 = -10*w + t. Solve w*r - 8 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 71*g**2 + 0 + 5 to the form u*g + x*g**2 + w and give x.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643007541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4157459 is divided by 3342.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01103 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*t - 272, -5*g - 54*t + 59*t + 445 = 0. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 218. Calculate the remainder when v is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let x(g) = 2*g**2 - g**2 + 0*g**2 - 2*g - 2 + 2*g**2. Let m(i) = -16*i**2 + 11*i + 11. Let y(b) = 2*m(b) + 11*x(b). Give y(u(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 278152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-385))\/((-3399)\/(-324038))\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/93 - 134\/1209. What is the second biggest value in 2\/13, s, 5, -322?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 - 560*b**4 + 9248*b**3 + 4818208*b**2 - 37024*b - 19263872 = 0.\nAnswer: -76, -2, 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173, 327, 463, 575, 657, 703, 707, 663?\n\"Answer: -b**3 - 3*b**2 + 170*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -15, 52, 147, 276?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 501 + -257. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(200\/(-170)) - 8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2341028*k**5 + 917*k + 54120 wrt k.\nAnswer: 46820560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.06 - 20. Suppose r - 6*r - 3*v = -37, -r - 4*v = -21. Let k = -195 - -194. Sort r, k, u, 4.\nAnswer: k, u, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80845887 and 903306.\nAnswer: 161691774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 4. Determine f(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32042155 (base 6) to base 7\nAnswer: -10660022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76*d**3 - 4439*d**2 + 4439*d**2)*(3 - 1 + 1) + (12 - 2*d**2 - 12)*(18 + 2*d - 18) to u*d**3 + n + k*d + g*d**2 and give u.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1578\/270 + -6 - 15\/(-25).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-107250)\/(-96525)*(28\/5 - 2). Let b = -7520\/19 + 396. Factor 0*v + 0 + 10\/19*v**g + b*v**3 + 0*v**2.\nAnswer: 2*v**3*(5*v + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 + n - 1. Suppose 0*z = -5*z + 25. Suppose 0 = -3*v + 12 - 3. Let p(b) = -2 - 2*b + 7 - v*b - 3*b**3 - z*b**2. What is 5*m(j) + p(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*x - 27 + 3 + x**2 - 19*x = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 + -15. Let n = h - 145. Suppose -5*i = t - 28, 3*t - 6*i = -2*i - 11. Sort n, t, 8 in descending order.\nAnswer: 8, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(4500)*2) + -3)**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-2 - 1*-12). Let f be (-2)\/p + 7\/(-21) + 5. Suppose -2*q = 4*r - 2*r + 8, q + 34 = f*r. Which is smaller: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7476373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 48. What is the third biggest value in 2\/11, d, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2477, 2108, 1739, 1370, 1001?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0.1. Let j = m + -0.3. What is the closest to 1 in -7, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1) - 87)*(-21 + 20). What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 62275.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -147. Let b = -117 + i. What is the remainder when 15 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -701*u + 140. List the prime factors of l(-9).\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 111 - 2068*s + 57 to f*s + r and give f.\nAnswer: -2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + 4 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 34 = 16. Let f = 16 + x. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23185, -46096, -68731, -91090, -113173?\n\"Answer: 138*y**2 - 23325*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2a9 + 55?\nAnswer: b331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 5 + 2)*(-2)\/(-4). Let t be 2 - 0 - r\/(-3). Solve 5*n = t*l + 9 + 8, l + 8 = 2*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14408 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 34*u + 3*s - 61912 = 0, -4*s = 3*u - 185731. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 13*m**2 - 14*m + 28. Let p(j) = 3*j**3 + 26*j**2 + 27*j - 55. Let c(z) = 2*p(z) + 5*v(z). Let d be c(14). Solve d = -5*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 5*d**3 - 4*d**3 - 761*d**2 + 761*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114291957 or 114291958?\nAnswer: 114291958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 10 + 6*f - 1\/2*f**2. Give h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*-2)\/(-1*sqrt(1210)) + sqrt(16)\/sqrt(72) + -1.\nAnswer: -1 + 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by -574?\nAnswer: 225\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 35*v = -2*d - 94, 0 = 3*d - 5*v + 49 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, b: 6}. Give prob of sequence bkk.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025719162 to 7 decimal places.\nAnswer: 0.0000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1382202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9826?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -227178, -0.2?\nAnswer: -227178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1.3. Suppose -3 + 5 = -g. What is the nearest to g in a, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccn when three letters picked without replacement from cnnnunccu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/g)\/(g\/g**(4\/21))*(g**(-15)\/g)\/g*(g\/(g*g**(-4)))\/g assuming g is positive.\nAnswer: g**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3*s - 110 = -5*y, -4*y - 5*s + 88 = 0. What is the remainder when 1\/(-3) - 1046\/(-6) is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*(-4935)\/35. Let j = -180 - n. Solve j = -4*q + 5*d, -4*q = d + 2*d + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*i + 9. Let d(t) = 2*t - 4. Let q be d(i). Suppose 3*n - 14 - q = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32328 is divided by 147?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from drn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 6, -q = 4*g - 2*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*n**2*u**3 + 16*n**2*u**2 - n**2*u wrt u?\nAnswer: 1014*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11240318, 11240305, 11240284, 11240255?\nAnswer: 11240218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 - 5*j**3\/3 - 225*j**2\/2 - 62*j. Let g be c(21). What is the greatest common divisor of g and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -3*u + g, 4*u = 3*g - 7. Let c(y) = y + 4. Let x be c(u). Let j(i) = -3 + 3 + i - 2 + x*i. What is j(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31422 - 31423. Put 2\/15, 0.7, b, -166 in descending order.\nAnswer: 0.7, 2\/15, b, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -64, -109?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 5*u**2 + 6*u + 2. Let g be m(-6). Let f = -66307 + 66306.88. What is the nearest to g in f, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (8 + 702\/(-65))\/(3\/(-90)) and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/4)*c*c)\/(c*((c\/(c\/(c**(-3)*c)))\/c)\/c))\/((c\/(c**6\/c))\/c**(-1)))**(2\/53) assuming c is positive.\nAnswer: c**(37\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 4656\/54)*(-1)\/194. Let r = 1\/97 - g. Let l = -3 + -1. Which is the biggest value? (a) l (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzhmzffzqzhzphqhzzz. What is prob of picking 1 h and 1 f?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose m*j - 135 - 373 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**4\/4 + o**3\/3 + 3*o**2\/2 - 20*o - 54. List the prime factors of v(8).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96692.\nAnswer: 2, 23, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 6*z + 6. Let s(o) = o + 1. Let a(f) = l(f) - 6*s(f). Let u(j) = -212*j. Let b(n) = 210*n. Let i(t) = 5*b(t) + 6*u(t). What is a(i(q))?\nAnswer: -49284*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-3 - 1)\/4). Let g = 28 + -14. Let r be (0 + w + 2)\/(7\/g). Solve 0*q = r*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2315 - 40324?\nAnswer: -34005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 557738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11229*r**5 + 13706*r - 13488*r - 10067*r wrt r.\nAnswer: 224580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5614.0004522 - -5614. What is b rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 115843637220 and -2.\nAnswer: 115843637218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24435, 48846, 73257?\nAnswer: 97668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:07 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-108)*6\/(2\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/266*12\/9. What is the second smallest value in 0.06, 3, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*i = -74*i + 290*i + 18490 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:36 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/45)\/(6\/((-3)\/(-1)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*24\/396*(-27)\/48?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12771*r - 29568*r - 19227*r to the form u*r + f and give u.\nAnswer: -36024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 320, 399, 468, 521, 552, 555, 524?\n\"Answer: -n**3 + n**2 + 83*n + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*t - 7 + 14, -5*t + 25 = 0. Let w be 1 + 0 - (-5)\/c. Solve -2 = -q + r - 0, -2*q + r = -w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and -169665872.\nAnswer: -169665883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 11 = -h, h + a + a - 23 = 0. Let w = h + -14. Suppose -w*v = -37 - 35. What is the greatest common factor of v and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + 394 = -16 + 18 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 5*h - 4*s, -h = -0*s - 4*s - 22 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b**2 + 3. Let c(t) = 3*t**2 + 1. Let j(q) = -6*c(q) + 2*v(q). Let z(d) = -3*d + 3*d + 7*d**2. Give j(z(g)).\nAnswer: 294*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w + 20, 0 = -3*d + w - 20. Suppose o = -4, -31*o - 11 = 5*b - 32*o. Put b, d, -13 in descending order.\nAnswer: b, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*i - 26, a = -2*i + 4 + 1. Solve -2 + a = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 838610821 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 276817048181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4414421, -4414425, -4414429?\n\"Answer: -4*t - 4414417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26d - -40a?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 431600 - -792?\nAnswer: 432292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4698895 divided by -939779\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 2. Let a be c(-3). Suppose 0 = -a*r - 15, -15*i - 5*r + 1 = -13*i. Suppose 0 = 3*q + 15, -i*q = 5*x - 4*q - 23085. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 19 = -4. Suppose 0*a - a = 0, -s*b = -5*a. What is the lowest common multiple of 0 + 8 - (0 - b) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -608.2 + 608. Let i = 2 + -5. Let s = -3.5 - i. What is the closest to m in s, 3, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 335983\/64 or 5249?\nAnswer: 335983\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17b05 - -6?\nAnswer: -17add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 59 + 14 - 10*v**2 + 7*v**2.\nAnswer: -3*v**2 - 10*v - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, r: 1, n: 2}. Give prob of sequence nrmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*y**3 + 13*y**3 + 8*y**3 + 9*y**3 + 56*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + 1) + (-2*sqrt(272))**2.\nAnswer: -4*sqrt(17) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1466*u - 4 = 1466*u - 2*a, 3*u - 7*u - 6 = 5*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28130483*q*v - 15088149*q + v + 11 wrt v.\nAnswer: 28130483*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:04 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -17. What is the least common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**4 + 2*k**2 + 4*k**4 + 93*k + 2*k**2 wrt k?\nAnswer: -12*k**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/60 + c**5\/60 + c**4\/8 - 25*c**2 - 3. Let f(l) = 10*l**3 - 4*l**2 - 16*l. Determine -3*f(w) - 16*v(w).\nAnswer: 2*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8e (base 15) to base 5.\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -32. Let v = f + -313\/7. Which is the second smallest value? (a) 2\/15 (b) v (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3 + 2 + 5)*(0 + 3*z + 2 + 2).\nAnswer: 6*z**2 + 20*z + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 42?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 10:00 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1277b2 (base 15) to base 7\nAnswer: 10350032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9406.34 plus 4?\nAnswer: 9410.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8414 times 0.4\nAnswer: 3365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 17. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318033 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(-84)\/(-140)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -845 times -18\nAnswer: 15210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 89, 277, 643, 1247?\nAnswer: 2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/3)*k**(-1\/6))\/((k\/((k\/(k**(-37)\/k*k))\/k))\/(k*k\/(k**35\/k))))**(15\/7) assuming k is positive.\nAnswer: k**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {q: 6, g: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013678348 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 219\/15 + (-4)\/(-10). Suppose 5*p + z = -0*p. Let j(b) = -2*b + 2. Let y be j(p). Solve -n + y = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 10768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -18*v - 312, 120*v = 121*v + k + 20 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**4 - 26*r**3 + 2*r**2 + 50*r - 40. Let m(c) = 17*c**4 + 76*c**3 - 7*c**2 - 150*c + 119. Let j(n) = 4*m(n) + 11*t(n). Let j(o) = 0. Calculate o.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14266868*m**2 - 7132461*m**2 - 7134385*m**2.\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(121) - -2*sqrt(121))\/sqrt(11) + 1)**2.\nAnswer: -6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -4. Let h = 29.6 + -13. Let r = -16.9 + h. Sort r, 0.5, q in increasing order.\nAnswer: r, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4 - 10993*b**3 - 4*b**2 + 1190514*b wrt b.\nAnswer: -12*b**2 - 65958*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -167, -156, -147, -140?\n\"Answer: -h**2 + 14*h - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1256 - 20?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:05 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -243, -491, -739, -987, -1235?\n\"Answer: -248*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13) - (sqrt(117) + sqrt(13))) + (sqrt(52)\/(1*sqrt(4)))**2 + 1 + sqrt(78)\/(2*3*sqrt(6)) + -1.\nAnswer: -17*sqrt(13)\/6 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p**2 - 14*p + 61. Give f(6).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*w)**(1\/20))**(-4\/11)*(((w\/(w\/(w*w*w\/w**(-2\/3)*w)))\/w)\/w)**(2\/33)\/(w**(-4)*w*w*w*w**(1\/2)*w) assuming w is positive.\nAnswer: w**(-697\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*161459.4.\nAnswer: -64583.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/36 and 95\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 23*z**4\/4 + 67*z**2 + 34. What is the second derivative of k(y) wrt y?\nAnswer: 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 9. Let u = n + -2. Let z = -7 - -3. What is the third smallest value in z, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - z + 5*z + 27 + 0*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -30 - (22\/33)\/(4\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*l**3 - 2*l + 2*l - 264*l**3.\nAnswer: 57*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/126 and 137\/3282.\nAnswer: 68922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 460264978 to the nearest 100000.\nAnswer: 460300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 222122122001 (base 3) in base 12?\nAnswer: 213717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygs. What is prob of sequence ggsy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7)*j\/(j\/(j**15*j))*j)\/(j**(1\/8))**31 assuming j is positive.\nAnswer: j**(807\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:46 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**2 + 3*x + 1. Let p(w) = 3 + 3 - 11*w - 5. Calculate the remainder when a(-2) is divided by p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 4, k: 1}. What is prob of sequence ggi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -8, -21 = -3*l - 4*i. Let y = -34 - -39. Let b = 121 + -116. Solve b*h + 3*n - 1 = n, -l*n - 1 = y*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:38 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 63 = 5*n, 4*n - 4*o = -n + 48. Calculate the greatest common divisor of n and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.003 in -38, 6, -270?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -802943*d**4 - 639481?\nAnswer: -3211772*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*7*(-1376)\/(-7224)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -4*b**4 + 226*b + 7. Let y(h) = 2*h - 4. Calculate y(r(t)).\nAnswer: -96*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 45, 41, 33, 15?\n\"Answer: -v**3 + 7*v**2 - 20*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1817 - 1536. Which is greater: 277 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 9:14 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -c - 611. Let w = 1100 + c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30*j + 11. Let b(p) = -35*p - 11 + 30*p + 23*p + 14*p. Let o(d) = 5*b(d) + 6*x(d). What is the first derivative of o(r) wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -148.1. Round m to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - -3101?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3804668 + 4?\nAnswer: 3804670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 77\/35 + 3\/(-15). Suppose 5*l = z*l + 81. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81252 and 37332?\nAnswer: 1381284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*d + w + 3, 2*d + 2*w = 18. Let c be (-17)\/(-6) - 3\/(-18). What is the second derivative of -d*t + 2*t + 2*t + 3*t + 3*t**c wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3632580 and 6604756.\nAnswer: 10237336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.480417 years?\nAnswer: 89.765004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 79. Suppose p = 144 - 32. Calculate the greatest common factor of p and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2218400 - -35507597\/16. Suppose 0 = a - 0*a + 827. Let s = a + h. Calculate the common denominator of s and -23\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t**5)\/(t**(-9)*t\/(t\/(t**(-8)\/t)*t)))\/((t\/t**4)**(-2\/21))**(-26) assuming t is positive.\nAnswer: t**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1850 + 9219\/5. Let v = -46 + 53. What is the common denominator of b and ((-672)\/9)\/v - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1606*p**3 + 1609*p**3 + 5 - 9 + 4.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 26.9. Let g = 0.2 + -0.2. Let m = 4 - 1. Which is the nearest to g? (a) p (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*b + z - 4, 0 = -b + 2*z + 8. Let i = -533\/5 + 106. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 54*q - 2*q**3 + 54*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000577 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 168? (a) -0.5 (b) 7 (c) 0.91 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/55 and 43\/16928140?\nAnswer: 186209540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45\/32 + -3\/32. Let f be 2 + -2 - 4\/(-8). What is the third smallest value in l, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from apuhhad?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15*f**3 - 102*f**3 + 3 + 53*f**3 + 33*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*g + 103 + 95 - 201 in the form n + h*g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -4 + -61 - -61?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584 a factor of 257528320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q + 2*t - 12 = 0, -t + 15 = -2*q. Let i be (-117)\/q*2\/3. Solve -4*s = 5*l - 14, 6 = -l - 5*s + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxtxtxxxxxxtxxxxxx?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.07928 rounded to one decimal place?\nAnswer: -206.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-3 + -6 - (-17 + 3 + -3) - 17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1479)\/(-3)*(-4)\/(-3 - 1). Let t = o + -438. Calculate the highest common factor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -0.03, -0.079, 2, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 103*v - 1755. Give s(14).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h\/(h*(h*h*h\/(h**(-12)*h)*h)\/h))))\/h**(11\/5))\/(h\/(h\/h**(-29))*h*h**(2\/29)\/h*h) assuming h is positive.\nAnswer: h**(1991\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by 4\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + 1 + 1 - 1 + 3 - 4 + 2 + (3 + 2 - 3)*(-3 + 3 - 2) + 1 + 3 - 6)*(-4*c**2 - 2*c**2 + 7*c**2).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-4 - (3 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36 (b) -4.6 (c) -2\/21 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 7. Let h(u) = u - 3. Let k(i) = 5*h(i) - 3*m(i). Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 62*y - 275. Let m be q(26). Let w(a) = -a**2 - 18*a - 41. What is w(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/120 + k**5\/12 + k**4\/12 + k**3\/3 + 3*k**2. Let p be m(-4). Calculate the highest common factor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 - 6 - -4) - (280 + -287)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 2*v + 1. Let d be s(-3). Let o(u) = 2*u**2 + u - 5. Let l(p) = p**2 - 2. Let a(j) = d*o(j) + 5*l(j). Calculate a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*a = -26, -s - 4*s - a + 234 = 0. Suppose 15*k = -s - 434. Is k at most as big as -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 7*v**2 + 7. Let x(k) = -k**3 - 20*k**2 - 48*k + 59. What is the remainder when x(-17) is divided by q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 50 (b) -2\/3 (c) 5.4 (d) -2 (e) 3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbaebaabmbeaeh. What is prob of picking 2 a and 1 b?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0475 + 48.5525. Let q = -48.60000217 + y. What is q rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3766 = -12*h + 19*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*x - 13180, 4874 = -4*r - x + 15405. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*j + 34*j + 24361. What are the prime factors of j?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13640 - -13631.651. Let b = p - -8.2. Round b to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*x - 5*a + 6, 4*a = 4*x. Suppose -20 = -x*d - 0*d. Suppose 0*z + 2 = -z. Put z, 4, d in decreasing order.\nAnswer: d, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**2 + 21*i**2 - 14*i**2 + 2.\nAnswer: -2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-10)\/26))\/1*91\/(-91)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*-3*((1 + sqrt(208))*3 + 1*(sqrt(208) + 1) + -4) + -5)**2.\nAnswer: -960*sqrt(13) + 119832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 67966070, 135932136, 203898202, 271864268?\n\"Answer: 67966066*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130470 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -96.328 times 2\nAnswer: -192.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.32 + 0.92. Let v = 7 + -7.3. Put -4, v, c in descending order.\nAnswer: v, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -2) + 3 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuv when four letters picked without replacement from vuuujukkuuuvkuuu.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 w when three letters picked without replacement from wwwbtbwbbbwastswwtaw.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*10\/700)\/((-3)\/(-6))*25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.5 - -7.13. Let k = j + -1.63. Which is the biggest value? (a) k (b) 0 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 3621943\nAnswer: 9\/3621943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 5*v + 0*v + 2*v**2 + (-2 + 2 - 2*v**2)*(1 - 3 + 1) - 4*v**2 + 0*v**2 + 5*v**2 + 88900 - 398*v**2 - 88900.\nAnswer: -396*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68419 - 67586 = 49*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514 + -19531\/38. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-45))\/((6 + -8)\/(-6)). Which is the nearest to 0.12? (a) -5 (b) z (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 6*n - 6. Let g(f) = -5*f**2 - 3*f - 2. Let p be g(-1). Does 3 divide s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106431 - 168706 = 1175*y for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1314 + 1328. What is the remainder when 193 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/296817 and -76\/21.\nAnswer: 2077719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o. Let v(p) = -277548*p**2. Give a(v(i)).\nAnswer: -1110192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + n + 238 = 0, 106 = -3*o + o + 5*n. Let a = 306 - o. Let m = -210 + a. What is the remainder when m is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:58 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u + u. Suppose -17 - 3 = -u*c. Let v be (-3 + 2)*(0 - c). Sort 3, v, 0 in decreasing order.\nAnswer: v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*h**4 + 32*h**4 - 2*h**4)*(12 - 38 + 12).\nAnswer: -658*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43439674009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4 - 753551?\nAnswer: -753537.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s**2 + 124956*s - 31240 = 0.\nAnswer: -7810, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 3. Let f(b) = -819*b - 2. Let k(n) = -f(n) - 3*s(n). Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 61486936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 393\/4 - 8245\/84. Which is the third biggest value? (a) 2\/3 (b) -7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 950187 (base 10) to base 7\nAnswer: 11035140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 11. Let l be w(9). Let s(r) = 3*r**3 + 2*r - 3. What is the remainder when 49 is divided by s(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -190*f + 1999. What is the remainder when w(10) is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 24*f + 95. Let g be z(-4). Which is the nearest to g? (a) 32 (b) -5\/3 (c) 1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/50*(-13)\/((-182)\/(-105))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 11:23 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16057 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 6. Suppose 9*l = g*l + 9. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 194\/3. Let d = -0.1 + 0. Suppose 0 = -22*k + 4*k. Which is the second biggest value? (a) k (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + sqrt(50) + 2*sqrt(6050))\/(-6*sqrt(1440)*-3).\nAnswer: 7*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1180.1, -1\/4, 18?\nAnswer: 1180.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*i + 16, 2*i - 20 = -5*v - 2*i. Put v, -5, 7 in decreasing order.\nAnswer: 7, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3052 = 5*c - c, -1828 = -3*o + 4*c. Let b = o - 121. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93729, 186240, 278749, 371256?\nAnswer: 463761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61944*h + 0 - 61934*h + 0.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 427013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -22864?\nAnswer: -22846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllllhll. Give prob of sequence llhl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**3 - 5*a**2 + 9*a - 18. Let l be w(2). Suppose -673140 = -8*k - l*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/85)\/((-54)\/(-2700)*(-200)\/80).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-344)\/(-72) - 2\/(-9). Find the second derivative of 6*f**j + f - 2*f**5 + f**5 - 3*f**5 wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -86*j + 98*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16339 divided by -16339?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:56 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 - i + 9. Let y be u(0). Suppose -y = -4*r - 1. Suppose 12 = c - 3*t, 5*t = 2*c - r - 18. Solve 4*g = 0, c*g - 6 = -2*d - g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 360.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + s**2 + 2. Let h(g) = -g**3 + 7*g**2 + g - 7. Let n be h(7). Let p be f(n). What are the prime factors of (-150)\/(-14) + p\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.5234369 to one decimal place.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3304)\/(-2041) - 4\/26. Is u bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 6*y + 8. Let r = 162 - 157. Let s(i) = -5*i**2 + 5*i - 7. Calculate r*g(q) + 6*s(q).\nAnswer: -5*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689597 is divided by 211199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**2 + 3\/2*o**3 + 0 + 0*o.\nAnswer: 3*o**2*(o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 3*m**2\/2 - 22*m + 9. Let w be a(9). Determine c so that -1 - 25\/4*c**2 - w*c = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-30)*(-5 + (-45)\/(-10)). Let n = 1 - 1. What is the nearest to c in n, -3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (324\/270)\/((-6)\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(12\/19)*(d**(-2\/7))**(-7\/9) assuming d is positive.\nAnswer: d**(74\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/19960 and 35\/8.\nAnswer: 19960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -375c + -18a4?\nAnswer: -5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25*3\/(-10)*(1 - 5\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**7\/1008 + t**5\/30 - t**2. Let o(g) be the third derivative of y(g). Let j(d) = 0 - 2*d**2 + 0. Give o(j(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18409 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:08 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.079 - 26.364. Let c = -25.3 - l. What is c rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -7 + 4. Put 0, w, -5 in descending order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/2 + 25*f - 51\/2 = 0?\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 12*m + 115. Calculate x(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or -1.45?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 311 - 3*n**2 + 163.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 4245?\nAnswer: -4245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/12*21\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 941 = 14836. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-2))\/((2 - 30\/9)\/(114\/(-171)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744283356.\nAnswer: 2, 3, 103, 661, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 230753 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172*t**4 - 4*t**3 + 5*t**2 + 16*t - 1008?\nAnswer: -2064*t**2 - 24*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 229.9706*-30\nAnswer: -6899.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 3. Let m(n) = -z*n**2 - 3*n**2 - 4*n**2 + 5*n**2. Let o(s) = s**2. Determine m(o(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 11)*(30\/(-40))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a52676b + -10?\nAnswer: -5a52677b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/240*-18)\/(3\/36248)?\nAnswer: 2, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380\/3 >= 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-3)\/(-2)). Let n be 0\/1*r\/2. Suppose -13*y + 4*y + 45 = n. Solve i = y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00901 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, i: 4, w: 2, b: 2}. What is prob of picking 1 b, 1 e, and 1 i?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let o be -11 + (-7 - (-5 - 0)). Sort 4, n, 1, o in descending order.\nAnswer: 4, n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from ycvycoooyvyrcyyyc.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37839228 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 8591708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:26 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let r be 3*2\/(-3) + p. Suppose -7 = -4*m + r. Solve -m*h + 4*u = -h - 5, -u = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 6 + 0 - 6 to a + b*d and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -110. Let b be 3 - -2 - t - (-5 - 9). Let i(a) = 6*a - b*a + 28*a**2 + 12*a. Let w(z) = 2*z. What is i(w(s))?\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 + 1. Let m be g(-1). Let q(l) = -m*l - 9*l - 11 + 0. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 486, 485, 502, 543, 614, 721, 870?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11277 is divided by 1605?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-304)*-19)\/((-7)\/(-196)*4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/24*639*-1. What is the highest common factor of y and 9585?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6543*h - 1852 + 1852)*(6 + 0 - 4).\nAnswer: 13086*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 246 = -l. Suppose 5*t + 133 = 3*c, -4*c = -c - 3*t - l. Suppose -d + c = -72. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12279 divided by -2.\nAnswer: -12279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*u = 2*u + 76, -3*q = -4*u + 32. Let r be q\/5 - 4\/(-20). What are the prime factors of r*(-4)\/((-12)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + 40. Let g = t + -5. Suppose -31 = -2*c + g. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 44184*f - 1459155. What is h(33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3\/(y*y**(2\/3))*(y\/y**3)\/((y\/y**(1\/4))\/y*y) assuming y is positive.\nAnswer: y**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47305967659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(128) + sqrt(12)\/(sqrt(6)*4).\nAnswer: 2 + 33*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(648) - -2*sqrt(648)) + sqrt(648))\/sqrt(6))**2 + (sqrt(12) + 5 + (1 + sqrt(12) - sqrt(12)))**2.\nAnswer: 24*sqrt(3) + 1776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -32. Let n(u) = -6*u - 4. Let k be n(-5). Let b = m + k. Solve 0 = -4*y + 2*c + b, 2*c - 4 = 3*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 - 4*i**3\/5 - 4*i**2\/5.\nAnswer: -i**2*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/66*-11)\/((-10)\/(-12)). Solve 4*g + 6 = -n*o, 5 + 4 = -2*g + 5*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3*c + c)*(14*c + 22*c - 13*c) - 8*c**2 + 0*c**2 + 15*c**2 + (1 - 1 + c)*(2*c - 2 + 2) + 5*c**2 - 3*c**2 - 3*c**2.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*h**5 + 2*h**3 + 161*h**2 wrt h?\nAnswer: 1740*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**3*o**2 + 4*k**3*o - 2*k**2*o**5 - 20*k*o wrt o.\nAnswer: 14*k**3 - 40*k**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f + 72 = 2*f. Let w = -13 + 18. Put f, -1, w in descending order.\nAnswer: w, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 128562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 17*t = 45. Suppose -3*c - 2807 = -5*c - t*x, -7029 = -5*c - x. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74712 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(352\/768))\/(3\/1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 933.\nAnswer: 4\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/187632 and -97\/2486124.\nAnswer: 9944496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2016310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 45. Let u be (c\/5)\/(21\/(-70)). Suppose -2*z + 3 + 3 = 0. What is the highest common divisor of u and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*a**2 + 503*a**2 - 1046*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuaw when four letters picked without replacement from vuwuand?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**5\/20 - 3*n**4\/16 + n**3\/4 - n**2\/8 + 7. Factor j(y).\nAnswer: y*(y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*i = 2*u - 3, -7*u + 405*i = 402*i + 2 + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 66572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 43. Let p = g - -31. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -26.06. Which is the nearest to y? (a) 0.5 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 352 - 506 = 0. Calculate the remainder when k is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*25\/(-50) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0587 plus 151375422?\nAnswer: 151375421.9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -321, -316, -311, -306, -301?\n\"Answer: 5*v - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8192724.\nAnswer: 2, 3, 19, 35933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1784 and 41\/385567.\nAnswer: 3084536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135042 is divided by 135024?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23177, -22899, -22435, -21785, -20949, -19927?\nAnswer: -18719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2758 + 2757.5. Suppose -1 = 2*w + 5. Which is the third biggest value? (a) -0.08 (b) i (c) 2\/5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 31*g - 2*g**2 + 10*g - 9 - 50*g as o + j*g + d*g**2 + y*g**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676464?\nAnswer: 2, 104779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14947 + 93747. List the prime factors of o.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3191941270 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.01 + -601.99. Let d = 289.2 + q. Round d to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 + 2611\/13. What is the third smallest value in 0.2, -0.5, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 0 - (-48 - -59)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*j + 13*j + 13*j)*(22 + 23 - 32)*(-1 + 1 - 2) to h + r*j and give r.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0181 and 12097.\nAnswer: 218.9557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1998.85mg?\nAnswer: 1998850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 - 152. Let b be (8600\/4)\/(w - 376\/128). Round b to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00086615 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let d(t) be the first derivative of 91 + 0*t - 16\/3*t**3 + 0*t**2. What is d(l(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bf0e (base 16) in base 3?\nAnswer: -221210101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3497 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 4*r**2 - 3*r**2)*((-4*r - r + 3*r)*(4 + 0 - 3) + 14*r + 50*r - 15*r) to the form n*r**3 + w*r + p + h*r**2 and give n.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 + 162*v + 13. Let t(x) = -3*x + 1. What is t(s(c))?\nAnswer: -21*c**2 - 486*c - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 b when four letters picked without replacement from {b: 2, n: 5, o: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243))*6 - ((-4*sqrt(243) - sqrt(243)) + -4 - sqrt(243))**2.\nAnswer: -8764 - 378*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 23*p**2 + 379*p + 165. Calculate o(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1425 + -545. Let t be 1\/(-5) - c\/(-25). What is the highest common factor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(171) - (sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171)*-1))*-1 + sqrt(171)) - sqrt(171)) + -5)**2.\nAnswer: -392 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*k**3 + 282*k**3 + 213*k**3.\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**5\/r)\/(((r\/r**(-38\/7))\/r)\/r) assuming r is positive.\nAnswer: r**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(9\/1620*-18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 9*i - 21. Let u(w) = w**3 - 10*w**2 + 28*w + 10. Let d be u(5). Suppose -4*p + 9 + d = -5*q, 5*p = -2*q + 59. What is y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263677367084 + 20?\nAnswer: -263677367064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-5)\/(-10))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 57\/15 + (-314)\/5. Let l = 60 + x. Sort -11, l, 3 in descending order.\nAnswer: 3, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxlbbebeeeebxxmee. Give prob of picking 1 e and 1 l.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -4, -13, -40, -91, -172?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4321*o**3 + 4329*o**3 - 1 + 1 - 6*o.\nAnswer: 8*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 + 1083*v + 145 - 275 as g + h*v and give h.\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2814*n**2 + 5598*n**2 - 2793*n**2. Let i(v) = -19*v**2. Let d(p) = -38*p**2. Let h(a) = 6*d(a) - 11*i(a). What is l(h(g))?\nAnswer: -3249*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9503 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 118, 119, 122, 127, 134?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*o - 2, o = 2*o - j + 1. Let u be (-4 + 24\/9)*-6. Let q = o + u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s - 22285 = -5*a, -s = a - 4447. Suppose -5*o - a = -19*o. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 439981014 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -152, -119, -56, 43, 184, 373, 616?\n\"Answer: a**3 + 9*a**2 - a - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38, -410, -1420, -3386, -6626, -11458, -18200?\n\"Answer: -53*t**3 - t**2 + 2*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/5))**(1\/50))**(-17))**14 assuming u is positive.\nAnswer: u**(119\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*x**3 - x - 16 + 16)*(4 - 1 - 4) to the form g*x**2 + r*x + v + j*x**3 and give j.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 810072 >= 810072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 + 1\/70*l**5 - 5\/42*l**4 - 89*l + 2\/21*l**3 + 8\/7*l**2. Solve c(y) = 0 for y.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -0.3 (c) -6\/23 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 528240 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**10\/50400 + k**9\/10080 - k**5\/60 + 9*k**2. Let j(y) be the third derivative of x(y). Determine f so that j(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - 2 - -3 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5578 - 5641 = -7*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.09664 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -121, -256, -431, -640, -877, -1136?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x + 1. Let v(u) = 5*u - 7. Let j be v(3). Let n(b) = 7 + j + 11*b - 13. Let q(i) = 6*n(i) - 11*p(i). Let g(l) = 2*l. Determine g(q(h)).\nAnswer: 22*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-26 - -55) - 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 + 2*o**2 - 1. Let i be 3\/(-5) - 16\/(-10). Let z be k(i). Let j be (-14)\/z - (-1 + -1). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/5 - 4296*m + 21478\/5 = 0 for m.\nAnswer: 1, 10739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5012 (base 6) to base 14\nAnswer: -57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4964 (base 13) to base 2\nAnswer: -10100010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, 66, -5, -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 5, v: 3, x: 1, f: 1, z: 1}. What is prob of picking 1 x and 1 b?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**2 - 23*v - 3. Let y be l(-3). Solve y*p - 35 = -35 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.006 - 0.006. What is the closest to -0.1 in 2, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2729469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3317\/1512 + -127\/56. Which is the closest to f? (a) 1 (b) 2\/15 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - s - 1. Let z be q(-2). Let b be (z - 0)\/((-18)\/(-24)). Let d = 2 - b. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 19*k**2 - 19*k + 20. Give i(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1.5 (b) 0.2 (c) -28474\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89.2 + -89. Which is the nearest to 2? (a) -0.1 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 120 = -26*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m + z - 2, -z = 4*m - 13. Let c be m\/14 + (-1588)\/(-28). What is the greatest common divisor of 285 and c?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 426642 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-5)\/(-30)*6). Solve -3*s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*h + 27953 = -703*h - 1152*h - 72155 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = u, -2*u + 12 = 4*n - 4*u. Let z = -52 - -59. Suppose 3 - 3 = -z*i. Solve 3*q - n*q + 3 = i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2)**(-37) assuming x is positive.\nAnswer: x**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isttikqstt. Give prob of picking 1 t, 1 i, and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i - i**2 - 1 - 2*i - 18. Let z be a(-8). Suppose 39 = -2*k + z*k. What is the greatest common divisor of 52 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h = 43*h - 244 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h**3 + 5*h + 7. Let t(g) = 5*g**3 - 3*g - 3. Let s be 1\/1*((-21)\/(-49) + (-504)\/147). Give s*j(d) - 7*t(d).\nAnswer: -5*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -254, -510, -754, -980, -1182?\n\"Answer: k**3 - 263*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 37*j + 197 + j**3.\nAnswer: j**3 + 37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**3 - 6*g**2 + 3. Let m(i) = 11*i**3 + 11*i**2 - 5. Let y(q) = -7*d(q) - 4*m(q). Let j be y(-2). Let c = j - -2. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1151534 by -2.\nAnswer: -575767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -229. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84877*c**3 - 81*c**2 + 1402 wrt c?\nAnswer: -509262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 746 + 520 = -3*a, 4*l = -2*a - 1688. Let m = l - -746. Suppose m = 28*u - 25*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -884, -926, -968?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76.63249 litres?\nAnswer: 76632.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:25 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2297*f = 137377 + 37195 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Solve -f - o*j + 3 = -j, -4*f - 2*j - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1200 + -1201. Let l = 0.074 - 0.044. Let u = -2.05 + 0.05. What is the closest to r in -1\/7, l, u?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 60*j**2 - 44*j + 322. What is the thousands digit of y(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + v**2 + 0*v**2 - v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + -2 + 13 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185163739 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -9223*q**5\/20 - q**4\/12 + 5*q**3\/6 + 3*q**2\/2 - 10*q. Let l be f(-3). What is l rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 5, k: 6, m: 3, j: 1, z: 1}. Give prob of picking 1 j and 1 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -15, -4100, -27?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14651 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2807 - 25237\/9. Solve 4\/9 - 2\/3*i**3 + 22\/9*i**2 - 4\/3*i**5 + 2*i - r*i**4 = 0 for i.\nAnswer: -1, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19839 and 918?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 118?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 - (1 + (6 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 297*21\/462*2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - d - 11 = 0, v - 5 = 4*d + 3. List the prime factors of (v\/(-10))\/(14\/980).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - v = -3 - 6, 21 = -4*f - 3*v. Let i(h) be the third derivative of -h**6\/120 - h**5\/20 + h**4\/24 - h**3\/6 - 7*h**2. Calculate i(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -7233 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**4\/24 - w**3 - w**2. Let c(g) = -2*g**2 + 2771*g - 19306. Let i be c(7). What is y(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-6))\/(-10)*9)\/(((-130)\/(-10))\/(-65))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/955 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -60364 divided by -60?\nAnswer: 15091\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20576*m - 2*m**2 + 3*m**4 - 20550*m - m**3 + 1 - 4*m**4 to the form x*m**2 + w*m**4 + l + s*m + a*m**3 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 53, 1 in increasing order.\nAnswer: 1, 2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -420486*r**2 - 2216*r + 2216. Let l(a) = 569*a**2 + 3*a - 3. Calculate -3*g(i) - 2216*l(i).\nAnswer: 554*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.76 + 21.76. Which is the nearest to 0.2? (a) g (b) 178\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffkssxdsfdfskd. Give prob of picking 1 d and 3 f.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -957, -1912, -2867, -3822, -4777, -5732?\n\"Answer: -955*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 + 8*a - 6. Let m be g(7). Let k(b) = 42*b**2 - b + 2. What are the prime factors of k(m)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = i - 38, -r + 23 + 25 = 2*i. Suppose 0 = -11*z + 22 + i. Solve 2 = z*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g - 75. Let a(m) = m + 18. Let u be a(g). Solve 4*k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8064 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, t: 2, j: 3}. What is prob of sequence jtmt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*((y**1*y)\/y)\/y))**(-31)*(y\/(y**(-1\/3)*y))\/y**(2\/21) assuming y is positive.\nAnswer: y**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by ((-4)\/12)\/(13\/(-897)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -u + 5*r + 2, -4*u - 2*r + 2 = 0. Suppose 48 = 14*o + 2*o. Put -6, o, u in decreasing order.\nAnswer: o, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*j - 61920 = 328*j. Does 43 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 + 7095*h**3 - 2289565*h**2 + 213233805*h + 215530470 = 0.\nAnswer: -1, 207, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1264349, 2528701, 3793053, 5057405?\n\"Answer: 1264352*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -361\/1065 - -2\/355. Let d be (0 - 2)*(-2)\/(-18). Which is the nearest to 0? (a) 5\/2 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, d: 11}. What is prob of picking 1 m and 3 d?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 47 + 63. Let p(f) be the first derivative of -26\/5*f**3 + 8\/5*f + 2 - 2*f**l + 4\/5*f**2 + 8*f**5. Let p(c) = 0. What is c?\nAnswer: -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14554007 or -14554006?\nAnswer: -14554006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 20*z**2 - 17*z + 3. Let c be 2 - 3 - (2 + 3). Let s(j) = 7*j**2 - 6*j + 1. Determine c*l(r) + 17*s(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1257024*x + 310939?\nAnswer: -1257024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 460, 517, 574, 631, 688?\n\"Answer: 57*d + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 31*x - 249. Give m(-4).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/7))**(-7\/8)\/(s**(-1\/4)*s)**(17\/5))\/((s**(-1))**(-9)\/((s*s\/s**(-1\/3))\/s*s)**31) assuming s is positive.\nAnswer: s**(7219\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8539.908 months in decades?\nAnswer: 71.1659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 144160*t**3 + 1586148*t**2 + 3461040*t - 5191344 = 0. Calculate t.\nAnswer: -6, 1, 36051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14 - -6 - 803\/95*-1 and -15\/152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 n when four letters picked without replacement from nrnrnrrrrrrrrr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a microsecond in nanoseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 5*g - 2*w, 95*g - 100*g - 165 = 11*w for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 17. Suppose -p - p + 286 = -q*f, -3*p = -2*f - 429. Let d = -73 + p. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {x: 2, y: 1, s: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 + 1 = 0. What is the highest common factor of y and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320497.884 minutes in weeks?\nAnswer: 31.795425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - n - 354 = -368, -28 = -3*n - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 284 + -267. Calculate the remainder when p is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14092 and 9464?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)\/1 + (-3)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/234 + (-88)\/(-396). Find k such that l*k - 2\/13*k**2 + 6\/13 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 60?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 6 - 0) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4873428992 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 114721299 to the power of 1\/2, to the nearest integer?\nAnswer: 10711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s - 42*s + 63*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.1, -14, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.3, 0.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and 31432.\nAnswer: -91152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8162.80048721 - 8162.8. Round l to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/90 - 4561*h**4\/18 - 20802721*h**3\/9 + 4128*h**2. Factor u(y).\nAnswer: -2*(y + 4561)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*m**2 - 31965*m - 5810.\nAnswer: -5*(m + 581)*(11*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2 - 1) + (22 - 0) + -18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 9, 1 in decreasing order.\nAnswer: 9, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145.9 - 111. Let j = u + -34.8. Let g = -5.87 + -0.13. Which is the second biggest value? (a) g (b) j (c) -4\/7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66663 times 2341?\nAnswer: -156058083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188677171*w**3 - 145101817*w**2 wrt w?\nAnswer: -1132063026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79 or 77?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 5 + 0*k - 4 - 6*k**3 - k + 3*k. Let h be n(-1). Let c(r) = -h - 20*r + 34*r - 10*r + 14. Calculate c(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -948 in decreasing order.\nAnswer: -3, -5, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**7\/420 - k**6\/360 - k**5\/60 - k**4\/8 + 29*k**3 + 31. Let s(d) be the third derivative of z(d). Determine s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 22*x - 115. Let d be f(-10). Solve d*a - 2*o = 14, -4*a - o = -7 + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/3)*f**(-8))\/(f\/(f\/(f*f\/(f*(f\/(f\/f**(-1)))\/f*f*f)*f)))**4)\/((f**(2\/3))**(1\/26)\/((f*f**(-1))\/((f\/(f**(-6)\/f*f))\/f))) assuming f is positive.\nAnswer: f**(-794\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(267 - 57 - 112)*(-2*s + s - s).\nAnswer: 392*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d**2 - 11*d + 21. Give q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 16*t**3 - 38*t**2 + 93*t + 90. Determine x(4).\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002468399606 rounded to 7 dps?\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -615496\/70695 + 202\/1571. Let l = q - -92\/15. Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 7\/90276 (c) -0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 48 = -0*x + 4*r, 3*x = -4*r - 16. Suppose -h + 0*n + 2*n = 9, -3*h = -n + 52. Let k = x - h. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:01 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 85. Which is the closest to i? (a) -4\/3 (b) -1\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 - (-13 + -6 + 70)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(6\/(-15))\/((-4)\/(-10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:41 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1217+9\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13629?\nAnswer: 3, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 13*a**2 - 13*a - 10. Let b be s(14). Differentiate 7 + 4*r**4 - 14 - 3*r**b wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*c - c - 18, 5*g - 5*c = -75. Let i = -7 - g. Suppose -3*k - i*a = -167, -5*k - 43 = -a - 306. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + k + 1. Let f be y(-1). Is f\/12 - (-158)\/8 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -86.999742. What is r rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-756)\/91 - 144\/(-468).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8)*i**(4\/7))\/((i*i**(-2\/15))\/i**2)*(i\/(i**(-5)\/i*i))\/i*i*i\/(i*i\/((i\/(i\/(i*i\/i**(2\/9)*i))*i)\/i)*i)*(i**(-1))**34 assuming i is positive.\nAnswer: i**(-63989\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Let y = -2.2 - -12.56. Let c = y - -1.64. Is i < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 = -25*v + 447 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(18\/189*-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-243) + (-68480)\/34668?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21799 + 21739. What is the biggest value in -3, -4, -5, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21594 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 93*t**2 - 2*t. Let h(u) = -2648 - 20*u + 18*u + 2648. Calculate h(m(a)).\nAnswer: -186*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7054 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -3\/5 (c) 3\/4 (d) -22 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 1. Let h be n(-2). Let u(m) = -m + 1. Let x(g) = -10*g + 7. Let o(z) = 18*u(z) - 2*x(z). Is o(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (915\/7)\/(5 - 4). Let x = p - 132. Find the common denominator of x and 87\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8805 (base 11) to base 13\nAnswer: -539c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q + 32. Let y(h) = -h**3 + 7*h**2 - 9*h + 8. Let c be y(6). What is the units digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(-22) - -2)*24106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12231 and 350471.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-12)\/24). Let s be d - (9\/(-3))\/3. Suppose s*k = k - 5700. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6095, -12107, -18023, -23843, -29567, -35195, -40727?\nAnswer: -46163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 9*c**2 - 10*c. Let g be w(-10). Let i be (6\/3)\/(3\/6). Let h(p) = -p**3 + 3*p**2 + 4*p - 3. Let r be h(2). Solve g = -r*b + i*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w + 338 = -21*w + 145*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**6\/75 - t**5\/50 + t**4\/15 + 17*t - 4. Let m(l) be the first derivative of h(l). Suppose m(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.14 rounded to 1 dp?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -15. Let c(o) = o + 1. Let j be c(g). Let d(m) = 11*m + 8. Let l be d(j). What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -12. Let p(q) = -23*q - 16. Is 33 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 12090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 6*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Suppose -2*r = -4*r - 4. Let s(y) = -y**2 + 2*y + 2. What is r*g(b) + s(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*x - 2, -4*x + 3*h + 13 = -2*h. Suppose 0*u + 12 = x*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 590374097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 18 = -i, -4*n - 5*i + 28 = -7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1827 = -n - y, -19*y + 3681 = 2*n - 20*y. Calculate the smallest common multiple of n and 297.\nAnswer: 20196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -921*h**2. Let w(m) = 979*m**2 + 990*m**2 - 1972*m**2. Calculate q(w(l)).\nAnswer: -8289*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2991*n**3 + 2492*n**3 + 15090*n**3.\nAnswer: 14591*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 58. What is the second derivative of -20*j**2 - j**3 + 3*j + c*j**2 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.057 and 50?\nAnswer: 50.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6674.\nAnswer: 2, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 477 - -161. List the prime factors of m.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, n: 4, f: 7}. Give prob of sequence vff.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586133355 to the power of 1\/2, to the nearest integer?\nAnswer: 39826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3087 - -952722.92422.\nAnswer: 949635.92422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16124 is divided by 753?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-22)*(4878\/126 + -37).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -q, -3*m + 12 = -5*q + 3*q. Let h(l) = 26*l - 7. Is h(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411*f**4 + 364*f wrt f.\nAnswer: -4932*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/5 + 354*x\/5 - 9471\/5 = 0. Calculate x.\nAnswer: 41, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(102) - ((sqrt(102) - sqrt(102)*-2) + sqrt(102)))*-2 - sqrt(102)) + sqrt(102))\/((sqrt(24) - sqrt(6))*-5))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 7*t**2 - 7*t + 6. Let o be ((-24)\/(-15))\/((-8)\/20). Let c(a) = -a + 1. Let r be c(-7). Let k be 2\/o - (-52)\/r. What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132059*y**4 + 129722*y**4 - 91*y + 984*y wrt y.\nAnswer: -28044*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 + 2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, 112, -5, 0 in increasing order.\nAnswer: -24, -5, -2, 0, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48878 + 84996. List the prime factors of d.\nAnswer: 2, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 4. Give w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 4*q, -q - 85*f = -82*f + 15. Solve q = 3*k + 339 - 348 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-43)\/(-129)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = u - 4, -u - x = -10. Suppose -u*o = -7*o. Is 0 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 7*s**2 + 6*s + 3. Let w be m(-6). Suppose -w*j + 9 = -6*j. Is 6\/9 + (-157)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 48*x = -13*x - 330 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 175279533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 5?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:56 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-804)\/13 + (-2)\/13*1. Let z = r - -64. Solve -c = z*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -715 - 0.5?\nAnswer: -715.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -143, -492, -1179, -2318, -4023?\nAnswer: -6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylv. Give prob of sequence yvyl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/(-8)*17\/51?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 314.91 not equal to -373.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155504 or 155508?\nAnswer: 155504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-51)\/34 + 17*(-15)\/(-10). Solve -25*u = -21*u + o for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5008 + -5016)\/(163 + 3)\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59448 + -118891\/2. Factor -1\/2*k**2 - 2 - j*k.\nAnswer: -(k + 1)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202942032.\nAnswer: 2, 3, 4227959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 6 - (6 + -2 + (-19 - 6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-3)\/(sqrt(20)\/(sqrt(20)\/sqrt(4))) + sqrt(152)\/(sqrt(800)\/sqrt(4) - sqrt(8)) + 0.\nAnswer: -11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (2 + 0)) + -2. Let a be -12 + (q + 2 - 1). Let h = 23 + a. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 + 1)*(0*m + 0*m + 2*m - 1 + 1 - m + 1 - m - 1 - 3 + 3 - 2*m + (-3 + 0 + 2)*(-2*m - m + m) + 0*m + 3*m - m + 2*m - 3 + 3 - 2 + m + 2).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 13 = 2*p, 0 = -2*p + 3*p + 5*v + 10. Let c(t) = t + p*t + 9*t - 3*t. Let l(f) be the first derivative of 3*f**2\/2 + 31. What is l(c(z))?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 <= 8548\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(500))**2 + 3 - (2*(0 + sqrt(5)) - (sqrt(5) + -2*sqrt(5) + 5))**2.\nAnswer: 70*sqrt(5) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:47 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5368986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 24*b + 22. Let z(x) = -22*x**3 + x**2 - 2. Let o be z(1). Let t be r(o). Is t > -4\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 g when three letters picked without replacement from {g: 5, n: 1, h: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0024 and 0.11666.\nAnswer: 0.11426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0*i**2 + 2*i + 0*i**5 + 1\/28*i**8 + 0*i**7 - 1\/6*i**4 + 0 + 0*i**6 + 0*i**3. Find the third derivative of l(s) wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)*g*g**(-2))\/(g**(-1\/3))**(-36) assuming g is positive.\nAnswer: g**(-219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1133448*m**3 + 6665604 wrt m.\nAnswer: 3400344*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 304 + 4?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 102437\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - -1 - (21 + 19 + -15)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 + 228*h**2 - 2967*h - 55470 = 0 for h.\nAnswer: -10, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (8 + -2)\/3. Differentiate -1 - 22*g + 4 + 17*g + a wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 4. Determine f(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55538055\/49759418 + 2079\/1861. Find the common denominator of 65\/16 and w.\nAnswer: 213904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**3 + 3*b**2 - 9*b. Let j(l) = -5*l**3 - 3*l**2 + 7*l. Let x(z) = 3*j(z) + 2*v(z). Let k(a) = -2 + 2 + 19*a**2 + a - 20*a**2. Give 3*k(u) - x(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/30 + a**2. Let t(c) be the second derivative of 32*c - 1\/3*c**4 + 0 + 0*c**2 + 0*c**3. Determine j(t(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -293.7, 2\/5, -4.3 in increasing order.\nAnswer: -293.7, -4.3, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*o - 53, 2*z = 2*o + 140 - 118. Let w(n) = n + 4. Let c be w(-5). Sort z, c, -3 in decreasing order.\nAnswer: z, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*m + 19 - 62, -2*m = -10. Suppose -2*i = -i + f - 36, 5*f - y = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 10 = 5*q. Sort 0.2, q, -4.\nAnswer: -4, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/135)\/(1625\/(-1875)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.891 - -2.991. Sort -0.7, o, -5\/4, -1\/3 in ascending order.\nAnswer: -5\/4, -0.7, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j - 6. Suppose -5*w - 5*l - 10 = 0, 6*w - 4*l + 13 = 3*w. Does 7 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or -1.015?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 83*k - 828. Calculate w(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:09 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqaq when four letters picked without replacement from {a: 5, q: 3, b: 2, v: 1, h: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 104 = -2*q, -3*m - 3*q = -7*m + 114. 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 millions digit of 1925200225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2305*s - 35887. Give n(-15).\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/18 - 187*t**6\/72 - 101*t**5\/12 - 365*t**4\/72 + 125*t**3\/9 + 2*t**2 + 126. Solve n(l) = 0.\nAnswer: -25, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 + 127. List the prime factors of l.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 2?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 6)*(-1 - 3*m - 1 - 2*m)*(0*m - 4*m - 2*m).\nAnswer: -90*m**2 - 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 - -84. Put m, -13, 4 in ascending order.\nAnswer: -13, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 - -172 - (-7 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41752355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173590651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/1)\/(-3) - -1. List the prime factors of g\/(-10)*(17 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -17240255\nAnswer: 1\/3448051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-3) - -2 - 31160\/(-123). Let k = i + -85. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8827 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, 12, -8.04?\nAnswer: -8.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.1. Let k = 0 - s. Let y = k - -0.2. Which is the second smallest value? (a) y (b) 2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2 - 584368*q + 21038544 = 0.\nAnswer: -584404, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 449129433 a multiple of 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let b(m) = -39*m**2 + m - 440. Determine b(q(n)).\nAnswer: -39*n**4 + n**2 - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*v + 13*v + 57*v)*(3*v - 4*v - v) + 3*v**2 + 2*v**2 - 4*v**2 + (0*v - 2*v**2 + 0*v)*(-6 + 1 + 3) to the form l*v + f*v**2 + w and give f.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58273 + 58230.059. Let d = 0.059 - g. Let n = d - 44.17. Round n to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -14)*((-2)\/10)\/(312\/(-520)). Let d be (0 - (-2)\/2)\/1. Let a = d + 0. Solve 0 = -z*p + 4*p - a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + p + p + 30, p = -5. What is the least common multiple of b and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1566 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvvkvvvvv. Give prob of sequence vvkv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -370 - -792. Suppose -2*j - q = -2*n + 2*j, -853 = -4*n - j. Let x = 420 - n. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + 4*n)*(-56 - 178 - 43)*(n + 0*n + 0*n).\nAnswer: -554*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201300 (base 5) in base 10?\nAnswer: -84575","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {g: 1, y: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/2345)\/((-1)\/(-1 - -2)). Let m be 2 - 13041\/8040 - 1. Let z = k + m. What is the common denominator of 81\/10 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**4 - p**3 - 2*p - 1. Let m(r) = -5*r**4 + 12*r**3 + 39*r**2 + 31*r + 6. Let h(b) = -2*l(b) - 2*m(b). Let h(x) = 0. Calculate x.\nAnswer: -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 310134420?\nAnswer: 310134412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 - 40*w**4\/9 + 340*w**3\/9 - 200*w**2\/3 + 430*w\/9 - 112\/9.\nAnswer: -2*(w - 1)**4*(9*w + 56)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2. Let p(l) be the third derivative of -l**4\/24 - l**3\/6 + 182*l**2. Let w(x) = 28*x + 14. Let b(v) = -42*p(v) - 3*w(v). Determine b(a(h)).\nAnswer: 210*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q + 3. Let p be z(-8). Suppose -10 = -p*n - 3*x + 17, 0 = n - 3*x + 11. Is ((-238)\/(-4))\/(n\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*j - 497*j + 868 = 561*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1111292, 1111381, 1111472, 1111565?\nAnswer: 1111660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 5*a - 6, -3*a + 2*k + 4 = 0. Let b(l) = -1 + 1 - 10*l + a. Let c be b(-3). Solve -4 + 0 = -4*n + 5*q, -3*n = 5*q + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*w**2 - 418*w**2 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557, -1287, -2031, -2795, -3585?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(2*i**5 - i**5 + i**5) - i**5 - 1 + 1 + 44*i**5 - 40*i**5 - 69*i**5 + i**5 - i**5 + 2*i**5.\nAnswer: -66*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 50 = -2*x, -4*p + 0*p = 4*x - 52. Suppose -3*m + 6*m - p = 0. Let f be (35\/28)\/(1\/m). Solve -2*v + 2*y = 18, f = v + 2*y - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/99*11\/(10406\/(-33)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5 - 21. Find the third derivative of 6*v**2 - 17*v**p + 0*v**2 + 20*v**4 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29736 divided by -6885?\nAnswer: 3304\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:35 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1072 + 1158. Let b = j - 33494\/15. Find the common denominator of 40\/3 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11262.69 centuries to millennia.\nAnswer: 1126.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n - 7*n. What is the tens digit of 160\/28*(-777)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7585, 15149, 22713, 30277?\n\"Answer: 7564*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 2*w)*(5*w**3 + 0*w**3 - 2 + 3*w**3).\nAnswer: -8*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-24)\/75)*24\/60. Let o be 0*m*3\/60. Solve -20 = 4*p - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 9. Let w be c(5). Let a(g) = 0*g**2 + 3 - w*g + 2*g**2 + 6. Is a(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - -105. Let i(t) = 276*t - 268*t + 5 + 4*t**2 - 3*t**g. Let q = -15 + 9. Give i(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -3*f**2\/2 - 15*f + 199. Give h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021290036.\nAnswer: 2, 3, 13, 1907, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 2*sqrt(425) + (6*(-1*sqrt(204) + sqrt(204)))\/sqrt(12))**2*-5.\nAnswer: -1200*sqrt(17) + 25740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(-2)\/(-16))\/((-1)\/(-1)). Let m(h) be the first derivative of a*h**4 + 0*h**2 + 0*h - 1\/6*h**3 - 2. Factor m(k).\nAnswer: k**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 767\/295 + (-4)\/(-10). Suppose -c - 2*i + q = 0, -5*c = -2*c - 3*i - 9. Put c, 2, -16 in ascending order.\nAnswer: -16, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -18, 2\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7427679 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a + 0*a)*(23 + 7 - 3)*(-2*a**2 + a**2 + 3*a**2) as s + l*a + y*a**3 + p*a**2 and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.013, -1\/4, -3, 31, -1\/184?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/11 + 134*x**3\/11 - 388*x**2\/11 + 256*x\/11 = 0.\nAnswer: 0, 1, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 738196 and 1109?\nAnswer: 737087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 41. Suppose c = -2*b - 2, -2*b + 10 = d + 3*b. Let y(h) = 6*h + h**2 + 10 - 24 + d. What is y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108, 322, 522, 702, 856, 978?\n\"Answer: -l**3 - l**2 + 224*l - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44795720 and 671600?\nAnswer: 447957200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -11, 11, 53, 121, 221?\n\"Answer: w**3 + w**2 - 2*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 13 - (-12 - -58 - 9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13318616 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10546694?\nAnswer: 2, 5273347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 562790021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 1 = -u + 11*p, -2*u + p + 2 = 0. Let n(s) = -2*s + 1. Let w be n(3). Is 37 a factor of 185\/u*((-31)\/w + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:15 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c (base 16) in base 4?\nAnswer: 12030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1999712)\/(-690) - (86\/(-30) + 3) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + f**2 - 4*f**2 + 10*f**3.\nAnswer: 10*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 21*j**2 + 8*j + 26. What is z(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811449 to the power of 1\/2, to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*(q*q*(q*q\/(q*q**13\/q)*q)\/q*q*q)\/q*q)\/q))\/q**(-5) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9 + 9 = 0. Solve -4*f + z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83180.57 * 1.2.\nAnswer: -99816.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - p)*(-5 - 2 + 4)*(17*p + 19*p - 64*p) to z*p + n + b*p**2 and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 11. Let v(k) = -k**3 + 9*k**2 - k + 3. Let i(p) = -p**2 - 5*p + 5. Let c be i(-4). Let g be v(c). Give j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 14*g + 66. Determine h(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 324186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 2*z**2 + z**2 - 22 - 28*z + 1.\nAnswer: -(z + 1)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.170203m?\nAnswer: 917.0203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 6. Let h be (n\/(-3))\/((-8)\/12). Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 6) to base 11.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:34 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15130\/(-267))\/(-5*(-12)\/(-36))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3859104 divided by 976?\nAnswer: -3954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 4, -4, 2\/37 in decreasing order.\nAnswer: 4, 2\/37, 0, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**3 + 471*q**3 - 5*q**3 + 300*q**3 - 59*q**3.\nAnswer: 733*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x**2 + 5 - 1 + 1 + 4*x. Let j be u(4). Which is bigger: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242541?\nAnswer: 3, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000166187 to seven dps.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 27*n - 48 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 2123671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + (6 - 0) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 + -323. Sort 0.4, c, -0.017.\nAnswer: -0.017, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12106.66 millilitres in litres?\nAnswer: 12.10666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 896*q**4 + 4*q - 895*q**4 - q**3 + 5*q**3 as c*q + f*q**3 + z*q**2 + d + g*q**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-726) + 106\/11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 2\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 54*o**2 + 5*o. Let b(m) = 107*m**2 + 9*m. Calculate -3*b(s) + 5*l(s).\nAnswer: -51*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3682379 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/8)\/((-26)\/(-1092))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*b**2*z**3 - 218*b**2*z + 480*b**2 - 21211*b*z**3 + 218*b*z + 96*z**2 + 2*z wrt z?\nAnswer: -108*b**2*z - 127266*b*z + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 381819?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -10*m + 3*m. Solve -5*a - 7 = 2*q - 1, 0 = -4*q - a - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by (248\/(-744))\/(1\/(-72)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 33.\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - g + 5 - g)*(-g + 3*g + 0*g + (g + 0 + 0)*(5 + 1 - 5)) as a*g + l*g**2 + p and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 145\/(-1260) - 3\/(-21). Let n(a) be the second derivative of 0 + 1\/18*a**3 - 2*a + 0*a**2 + g*a**4. Factor n(w).\nAnswer: w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -7430031?\nAnswer: -7430031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22423103 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 32*w**2 - 2*w - 6. What is the remainder when 98 is divided by i(-16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 8*p**2 - 8*p. Suppose -2*m - 6 = -4*m. Suppose -5*i - q = -4*q, -3 = 4*i - m*q. Calculate the remainder when l(-7) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15963 = 5*a, 6*a - 7*a + 10655 = 2*c. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 19*h - 39. Suppose 2*t - 2883 + 437 = -3*v, -h*v + 1220 = t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36567, 73136, 109705?\n\"Answer: 36569*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9522006 times -0.3\nAnswer: 2856601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 0*(-1)\/4. Suppose -10 = -s*d + 10, -p - 3*d = -31. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.1, -2\/3, -23, 3\/5, -7?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3552 - 165*i + 664*i - 167*i - 165*i - 170*i to p*i + h and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(250\/30)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (-1*sqrt(66) - sqrt(66))) + sqrt(66))*-6)\/(sqrt(18)\/(sqrt(3)*3)) + 6*(2*sqrt(44) + 5)**2*-4.\nAnswer: -4824 - 1032*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206325 by -393.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4926 or 26144?\nAnswer: 26144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*((-16504)\/3)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 + 68*c - 621. Determine k(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 21 = -12*p. Let o(g) = 2*g**2 - g + 7. Let l be o(0). Solve 0 = p*y - l*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s - 32. Let i(b) be the first derivative of -2*b**2 - 11*b - 904. Give 17*i(x) - 6*t(x).\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*v**2 - 30*v**2 + 102*v**2 to the form h + l*v + x*v**2 and give x.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7232, -7196, -7160?\n\"Answer: 36*o - 7268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - p = -43, -5*p = 47 - 22. What is the least common multiple of 184 and y?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*d - 2 = 0, 0 = 2*f + 2*f - 3*d - 22. Let g = 1374.7 + -1375. What is the nearest to -1 in f, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533115151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -8. Suppose 0 = -2*p + 2 + 2, -3*m + u = -3*p. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klokjsk. Give prob of picking 1 s, 2 k, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10411, 20815, 31219, 41623?\nAnswer: 52027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymym when four letters picked without replacement from {y: 8, m: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3)*5 - (sqrt(162) + 1)**2)*-6.\nAnswer: 78*sqrt(2) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 12 = 30*n, -2*n - 49 = 17*p - 7*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72456378 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20949032*v**2 - 36625342*v wrt v.\nAnswer: -41898064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + s + 3*s - 2*s. Suppose 2*m = -2*k - 0*k + 10, 0 = 4*k - m - 10. Let g(y) = 3 - k + 2*y. Determine j(g(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10059 - -10154. What is the smallest common multiple of q and 880?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/2 - 207\/14. Let g be (-87)\/2*(-12)\/(-18). Let z = g - -33. What is the third biggest value in -2\/9, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1317 + -1362. Let b(c) = -12*c**2 + 3*c - 3. Let p be b(2). Let l = n - p. Solve -x = -l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 1, -9, -0.0404?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4994345509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 + -22 + -2 + (0 - -10). Let s = -0.1 - 0.1. Which is the third smallest value? (a) s (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 1116*a + 7741. Give z(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.04 - 6. Let b = t - 0.05. Which is greater: -1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 1. Let w be i(-2). Let z = 0.02 - 0.02. Let v = -0.3 + 0.4. Which is the nearest to v? (a) 4 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.009 and 0.049567.\nAnswer: -0.000446103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 - 3*o + 3. Suppose 15 = 2*y - u, -3*y + 0*u + 17 = 4*u. Calculate w(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 528.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000358528 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11294, 45227, 101776, 180935, 282698, 407059, 554012, 723551?\n\"Answer: -u**3 + 11314*u**2 - 2*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800014.\nAnswer: 2, 19, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c + 119. Let o be x(-7). Suppose -826 = -o*a + 5*a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 776 and 6693.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/8*(-2)\/(-1). Suppose 2*m - 8 = -y, -m + y + 0 + q = 0. Suppose 8 = m*j - 7. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.86 - -32.86. Which is the smallest value? (a) v (b) -5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73603342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 22445423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35342*w**3 + 90342*w**2 wrt w.\nAnswer: -212052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36013\/3 at least 12003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1423\/8 - 178. What is the third biggest value in 0.5, -2, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 2, -400 in ascending order.\nAnswer: -400, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*h**5 - 5\/3*h**2 + 0 + 1\/3*h**4 + 2\/3*h + h**3.\nAnswer: -h*(h - 1)**3*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 137*q**2 - 3 - 24*q - 137*q**2 in the form g*q + x + v*q**3 + m*q**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 36*x - 14*x - 21*x. Let h(o) = -29*o - 6. Let b(g) = -1537*g - 319. Suppose -953 = 5*c + 642. Let r(q) = c*h(q) + 6*b(q). Calculate r(u(t)).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9910 or -10268?\nAnswer: -9910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000940216 to 7 decimal places.\nAnswer: 0.0009402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 757 + 451?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**3 - 4*a**2 - a + 7. Let m(w) = -6*w**3 - 3*w**2 - w + 6. Let f(p) = -6*m(p) + 5*z(p). Give f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 21 = -737*t + 738*t, 4*t - 40 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(20) + -5)**2.\nAnswer: -24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 e when four letters picked without replacement from {e: 3, z: 4, d: 2, g: 1, q: 1, s: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493902, 493167, 492432, 491697, 490962, 490227?\nAnswer: 489492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23892640 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*s + 75*s - 2056*s - 1512*s - 2348 - 1021*s wrt s.\nAnswer: -4536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50236 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y, 5*v + 3*y = 5 - 0. Let z = -7 - -10. Let i be 0*(z\/(-2))\/(-3). Is i at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73699 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: Suppose 0 = 13*q - 29644 - 3727. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 + (-15)\/6. Let a(k) = -2*k + 3. Let c be a(2). Does 13 divide c + 15 + n + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1*3 + 2). Let i = 2 + 9. What is the remainder when (2 + -3)\/(x\/42) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -27. Calculate the greatest common divisor of 110 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 take away 899795230?\nAnswer: -899795092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*k + 4, -5*t - 2*k - 3*k - 10 = 0. Let p(g) = -g**2 + g + 1. Let s be p(t). Is -6 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:27 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*v + 32, -5*w = -3*v + 677 - 669 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599898 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 1. Suppose 2*n = -5*c + 15, -4*n - 6 = -2*c - n. Suppose b + r = -0*r + c, r = 0. What is the least common multiple of j(-8) and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 322*k + 137. Is j(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.3 + 10. Let t = u + -1.2. Which is the nearest to 0.3? (a) t (b) -4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 + 44. Let f = 10 - 10. Let w be v(f). Is w*((-13)\/(-4) - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3958 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let m(p) be the third derivative of p**4\/8 + 9*p**2. Give v(m(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(65)\/(-4*(sqrt(15)\/sqrt(3) + sqrt(5))) + 2 + ((2*-2*sqrt(117))\/sqrt(9) - -1*sqrt(13)*2*-6))**2.\nAnswer: -645*sqrt(13)\/4 + 217933\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11715472\/192 + (-7)\/84.\nAnswer: 2, 30509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5735 and 2849520?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108565.\nAnswer: 5, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -38. Let a be -2 - 1 - (-1 + -1 - f). What is the third derivative of a*p**2 + 23*p**3 + 2*p - 2*p + p**2 wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9320 and 31\/80.\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -688 + 692. Solve -8*l + k*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 - 6*w + 1. Let k be r(-5). List the prime factors of 2*(k\/(-6) - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**4\/4 + 2*f**3\/3 - 3*f**2\/2 - 3*f - 55. Let s(y) = -y + 1. What is -j(n) - 3*s(n)?\nAnswer: 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/55692 and -113\/18?\nAnswer: 55692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030390657 to the power of 1\/2, to the nearest integer?\nAnswer: 32100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:15 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 2 + 2*o - 76*o**4 + 0 - 4*o**3 + 77*o**4 as u*o + g + r*o**2 + m*o**4 + f*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2638*p + 37312. Determine y(-14).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddu when four letters picked without replacement from uuuuduuduuuuuuuduu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhqqhqhqqqqqhqq. Give prob of picking 1 q and 1 h.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029.78 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-2)\/(-36))\/(-5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - 0) + (-304 - -158) + 134\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 17\/294?\nAnswer: 17\/294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1573) + (sqrt(1573) + 2 + sqrt(1573))*5 - (1 + 1*sqrt(1573))) + (-4*(sqrt(1573) + -1 + sqrt(1573)) - (sqrt(1573)*4 + -5 + sqrt(1573))))**2.\nAnswer: -1452*sqrt(13) + 14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5 + 14. Suppose -y = v - 40. Is 22 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233301 (base 4) in base 7?\nAnswer: 62511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 11. Let v = -7 + x. Suppose o - v = -2*z + 2*o, -3*o = 0. Solve z = 5*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = -1. Suppose -d + w = -2. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 7 + 3*p - 3*p - p**3 with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2651 (base 14) to base 5.\nAnswer: 221422020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272897 is divided by 423927?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142100 and 625.\nAnswer: 3552500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 18. Calculate x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 667, 1022, 1397, 1798?\nAnswer: 2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-147 - -112) - (-86 - 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26989, 107952, 242899, 431836, 674769, 971704, 1322647?\n\"Answer: b**3 + 26986*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 minus 67.9?\nAnswer: -68.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) -1480 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaeolrreoo. Give prob of sequence alor.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 7. Let f be w(-2). Which is bigger: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -6300037.\nAnswer: -24\/6300037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89893 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, 426, -5, 0, -2, 5 in ascending order.\nAnswer: -5, -2, 0, 5, 316, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*1\/((-40)\/24*3)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -57 - 12*s + 8*s - 14*s + 25*s. Give o(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 3*s**3 + 3*s**4)*((-s + 5 - 5)*(2 + 3 - 2) + 2*s + 2*s - 5*s).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359.36 - 342. Let x = b - 17.2503. Round x to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 15, t: 5}. Give prob of picking 2 t and 1 i.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 7*k = 1164. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -67. Let l = c + -11.000004. Round l to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 i when four letters picked without replacement from yiuuiriuriiiq?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - t**4 + 3*t**4)*(-1 - 2 + 3*t + 2).\nAnswer: 6*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - -34) + -38 + 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 272838 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*2574\/156?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 + 20. Let r = -251 - f. Solve -3*j - 17 = 4*m, 0 = -r*m - 5*j - 16 - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 57 - (22 + -57 + 27)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) + (-325)\/35 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3 - 1 - 2 + b**2 - b + 3. Let h be u(-3). Suppose 0*z - h = -z. What is the remainder when 26 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645902914.\nAnswer: 2, 43, 67, 112097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2 - 6054357*a - 290921656?\nAnswer: -4*a - 6054357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 8\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.264074608 - -32.264. Round p to seven dps.\nAnswer: -0.0000746","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550492 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-125)\/35 + -6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:05 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 2, 6, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 8:40 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {q: 1, y: 9, s: 5, l: 1, k: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 28 = -0. Suppose 11*v + b*v = 54. Solve 3*y = 5*r - 19, -v*r + r - 2 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 62\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*s + 18, 5*v - v - 20 = 2*s. Let g(w) = -4*w**3 - 8*w**2 + 5*w + 2. Let h be g(1). Sort 0, v, h in descending order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31620792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 3:25 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 0.5 (c) 0.05 (d) -776\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:48 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 350909.6 millilitres?\nAnswer: 350.9096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -90362 and -6061267420.\nAnswer: -6061357782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3860.371 micrometers to kilometers.\nAnswer: 0.000003860371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - 14*g + 5. Let x(i) = 4*i**2 + 15*i - 5. Let m(o) = 4*x(o) + 5*y(o). Let k be m(7). Let r = 0 - k. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 36) + (-13 - -6) + 14 + -19\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111100001101 + 100111111001101?\nAnswer: 10000111011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -443 - -946. Let s = a + -503.1. Are 27\/7 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/33 + -86\/165. Put -0.1, 2.5, r in decreasing order.\nAnswer: 2.5, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212\/133 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57984*p**2 - 10620*p**2 + 23727*p**2 - 77691*p**2.\nAnswer: -122568*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 26*f = -45. What is the second derivative of -13*z**3 - 4*z**3 + 3*z - f*z + 12*z wrt z?\nAnswer: -102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-9)*66*1119\/746\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -88. Suppose -2*u = -p*j + u + 25, 0 = j - 5*u - 30. Let o(g) = -g + 2. Give o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/587? (a) 0 (b) 2 (c) -6269 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093230\/360*24\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(6*b + 18 - 18)*(-3 + 3 - b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 36445.\nAnswer: 72890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g + 13. Let l = -249 - -490. Suppose -6*y + l = 85. What is the highest common divisor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3. Suppose -d*n - 28 = -7*n. Solve -2*k - 3 = -n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 + -120. Let o = t - 30. Calculate the highest common divisor of 12 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by 905441.\nAnswer: 129\/905441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 399.1 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t - 3. Let p be s(2). Suppose 14*g + 315 = -63. Let o = p + g. Calculate the remainder when 37 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -173. Let r = -0.99 + 0.11. Let j = -0.48 - r. Which is the second biggest value? (a) t (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 104?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from iaiaiiaitaiia?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -39*m - 301. Let d be h(-8). Suppose 3*f = -2*t + 37, -45 = -3*f - 5*t - 2. What is the greatest common factor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 422 = 121. Suppose -d*g = 13*g - 80024. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - -14) + -26 - 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 + -158. What is the third derivative of -4*m**6 - 38*m**4 + 38*m**4 - 41*m**2 - 2*m**3 + v*m**6 wrt m?\nAnswer: -480*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + 43*q + 29. Let b(f) = 13*f**2 + 87*f + 62. Let m(h) = -4*b(h) + 9*v(h). What is m(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10948, 21911, 32876, 43837, 54788?\n\"Answer: -i**3 + 7*i**2 + 10949*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -38*h**3 + h - 2. Let b be n(-2). Suppose -b + 1290 = 9*c. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.34, -4, -2.408 in decreasing order.\nAnswer: 0.34, -2.408, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-197 - -223)*1653\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(14)\/sqrt(2)*-2 + (sqrt(7) - (sqrt(63) - (sqrt(63) + sqrt(63)*1))\/sqrt(9))**2 - (-5 + -2 + sqrt(7))*5).\nAnswer: -14*sqrt(7) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44837 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -273.25 + 273.24. Let v = 7 + -6.6. Which is the second biggest value? (a) v (b) 4\/9 (c) x (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281659 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uukk when four letters picked without replacement from {k: 2, u: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-105)*-1*(-2)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -10, 0 = 3*z + 4*v - 5*v - 77. Solve z*n - 6*n - 90 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 e, and 2 y when four letters picked without replacement from {e: 7, u: 1, l: 3, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -495, 1\/3, -2\/3?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26108 = 7*q - 22101. Is q 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 20087 and 46693?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) + 5*sqrt(15))*1)\/(sqrt(60)\/(sqrt(12) + -4*sqrt(12))))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**8\/h)\/h*h\/h**(-22))\/(h*h\/h**2*h**7*h))**(15\/2) assuming h is positive.\nAnswer: h**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = 7*r - 2*u, -4*u = -3*r - 1. Let b(h) = 3*h**2 - 21*h + 19. Let a(c) = -2*c**2 + 11*c - 9. Let w(g) = r*b(g) - 5*a(g). What is w(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8715696?\nAnswer: 2, 3, 11, 17, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/2 (b) -1 (c) 143 (d) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/9 (b) 64 (c) -11 (d) 9.1 (e) 1\/5 (f) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**11\/13860 + p**7\/630 + p**4\/3 - p. Let b(r) be the third derivative of m(r). Find the third derivative of b(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4*y - 4*y + (1 - 1 - y)*(-5 + 3 - 3) - y + 0*y + 3*y)*(-3 + 5 + 1) + (1 + 0 - 3)*(-2*y - 3*y + 4*y) + 77 + 12*y - 77.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*d + o - 1465, 2*o = 3*d + 879. Let f = -152 - d. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54652?\nAnswer: 2, 13, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -567 in 0.07, 2\/105, 1\/5?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*q + 4*c, -256*c - 4 = 3*q - 252*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2564 = 192*m + 1159 - 843 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:28 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*r + 13, r + 14 = -25*t + 28*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 86. Suppose 7*q = 4*q + g. Factor -q*a**2 - 12 + 12*a - 77*a**3 + 73*a**3 + 8*a.\nAnswer: -4*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/107895 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/2)\/((70 - 74) + (-46)\/(-8)). What is m in -3 - 3\/2*m**x + 9\/2*m = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 26 - 18 + 48)*(f**2 - 7*f**2 + 2*f**2).\nAnswer: -8*f**3 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*q - 81*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**2 - 9*b. Let j(p) = -2*p**2 + 2*p. Let u(m) = -2*c(m) - 9*j(m). Let r(g) be the first derivative of g**2 - 17. What is u(r(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -34 (b) 10 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609210?\nAnswer: 2, 3, 5, 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*f + 4309 = 2*f, -5*p + 4285 = 5*f. What are the prime factors of p?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 278?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-5)\/d*d)\/d)\/d**3*(d*(d\/(d*d**(-1)))\/d)**(-11\/3))**(-42) assuming d is positive.\nAnswer: d**448","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.28 - -0.28. Let p be 45\/10 - (8 + -4). Sort p, 0.3, q, -0.3 in descending order.\nAnswer: p, 0.3, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d**(-2\/5)*d*d)\/d*d*d)*d)**(-1\/53) assuming d is positive.\nAnswer: d**(-2\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + (-12 - (-13 - 8)). Let m(s) be the first derivative of 0*s + 16 + i*s**4 + 0*s**2 + 1\/35*s**5 + 0*s**3. Solve m(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/47)\/m**(-13\/2))\/(m**(9\/2)\/m*m*m*m\/(m\/(m\/(m\/m**(-6)*m))*m)) assuming m is positive.\nAnswer: m**(425\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57639, -57698, -57769, -57858, -57971?\nAnswer: -58114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 41. Let j = d + 111. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c*c*(c*(c\/c**(2\/13))\/c)\/c)))\/c*c*c*c**(-1\/4)\/c)\/(c**13\/((c\/(c*c**(1\/20)*c))\/c)) assuming c is positive.\nAnswer: c**(-1879\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*q + 64*q + 216. Let n = q - -55\/2. What is h in -1\/4*h + n*h**2 - 1\/4*h**3 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2243 divide 85155495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197015\/19 + 10373. Let n = 70\/19 - p. What is the biggest value in -1, n, -4, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1206\/229 - 125419\/11450. Let z = 747086\/172925 - 2\/6917. Let w = n + z. What is the common denominator of -50\/9 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**6 + 244*q**5 - 2*q**2 - 354*q**5 + 3*q**2 - q**3 - 18*q + q**3 wrt q?\nAnswer: -600*q**3 - 6600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 19 + 413. Let j = -69 - b. Solve j*u = -4 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 4958 = -168. What is the highest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/1*(-1)\/2. Suppose n = 2*a - 4*g - 40, -a + 0*a + 5*g + 23 = 0. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/105347 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 33. Calculate the remainder when 19 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/3 (c) 1.6 (d) -1481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*s + 12. Let o be (30\/9)\/(4\/s). Let f be 0 + 1\/(o\/6). What is the second biggest value in -1\/3, -5, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 6*y**3 + 1502*y**2 + 94250*y + 31250 = 0.\nAnswer: -125, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 13*l = -12. Solve 0 = -5*i + l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/(-204))\/(4\/((-192)\/(-10)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*c + 3540 = 0, -2*m - 3*c + 1745 = -m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295162745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066925 to six dps.\nAnswer: -0.000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50931690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 4}. What is prob of sequence pt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - f + 93 + 44, -5*f - 15 = 0. Let a be (-1)\/((-27)\/6) + (-1058)\/(-18). Let q = a + s. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2\/5 - 172*m - 45784\/5 = 0. What is m?\nAnswer: -118, -97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120505 + -119994.032. Let g = -238.105 + l. Let z = g + -273. What is z rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**3 + 4*c**2 + 16*c - 6. Let o(a) = -3*a**3 + a**2 + 5*a - 2. Let i(r) = -2*g(r) + 7*o(r). Determine i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 0 + 0)*(3 - 3 - 2*s**2) + (-2*s**2 + s**2 + 3*s**2)*(2*s + s + 0*s))*(0 + 4 + 2)*(-3*s - 8*s + 5*s)*(2 + 0 + 2).\nAnswer: -1152*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 21 + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 262, 213, 112, -59, -318?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkczzz. What is prob of sequence czz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 6610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1525 + 2401. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 2*p - 5*f, -5*f + 19 = 3*p. What is the common denominator of ((-10)\/80)\/(p\/146) and 31\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 29*f**3 + f**2 + 104*f - 584. What is the hundreds digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 - 0.73. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2964077*b = 2963994*b + 166 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15*d**2 + 905*d + 5684. Calculate c(66).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75423614436615 + -75423624157928.4639647. Let o = -9721313 - p. Let a = o + -0.464. Round a to 6 decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304328.90004 - 304323. Let b = 5.9 - n. Round b to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 59. Sort q, 1, 0.5, 3 in descending order.\nAnswer: q, 3, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1664*r**3 - 13*r**2 + 14*r + 16. Suppose 4*j - 27 = -99. Let t be h(j). Round t to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -1554, -3508, -6244, -9762, -14062, -19144?\nAnswer: -25008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44974, -44966, -44952, -44932?\nAnswer: -44906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, j: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 2*q + 8, 15 = -3*j. Let f = q - -10. Sort 10, -2, f in decreasing order.\nAnswer: 10, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2972751 micrograms in milligrams?\nAnswer: 0.0002972751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lag when three letters picked without replacement from {e: 1, l: 1, a: 2, g: 1, s: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 10*w**2 + 11*w + 3. Let b be n(-11). Let c be b\/9*(0 - 15). Let j(r) = r**2 + 8*r + 7. Give j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18396 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l)\/(l\/l**(-2\/9)))\/(l*l*l**(1\/5))**(-1\/27) assuming l is positive.\nAnswer: l**(926\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from {o: 9, k: 4, p: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015444 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c1 - -13427?\nAnswer: 13618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - (-304)\/8. What is the highest common divisor of n and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -2*w - 4*j, -3*w + 48 = 3*j - 357. Is 20 a factor of -2*w\/2*(26 + -27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*f - 22*f + 267 + 77*f - 34*f to u*f + g and give g.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2701, 5258, 7809, 10354?\n\"Answer: -3*a**2 + 2566*a + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9)**(-47)\/((i\/i**(-13\/5))\/((i\/i**(-1\/31))\/i)))**(1\/3) assuming i is positive.\nAnswer: i**(-66118\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1418904 and 1596267.\nAnswer: 12770136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -542.57 - -540. Let h = p + -1.08. Let o = 0.65 + h. What is the third biggest value in 3, 1\/5, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:52 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**30*s**(-1\/3)*(s*s*s**(-2\/51)*s)**(-2\/87) assuming s is positive.\nAnswer: s**(140203\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = 13*q + 484. What is the least common multiple of q and 3 + (2 - 1) + 28?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**6*h*h*h)\/h*h)\/h*h)**(1\/9)*(h**(-1\/2)\/h)\/(h\/(h\/(h\/(h*h**(-1\/25)*h)))))**(-2\/39) assuming h is positive.\nAnswer: h**(-257\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36*h**4 - 15*h**3 + 3*h + 17. Let m(l) = l**4 - 3*l**3 - 1. Let r(q) = a(q) - 5*m(q). Find the second derivative of r(p) wrt p.\nAnswer: 372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j - 78. Let z be s(-6). Suppose 29 = z*n + 5. Solve 0 = -3*p - 4*l + 15 + 5, n*p = l - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(3) + 2)*6 - (sqrt(18) - sqrt(450))\/sqrt(6)))**2.\nAnswer: 300*sqrt(3) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2500)*-2)\/(1*sqrt(5)*1*-5).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 - 1332*y**4 + 41692*y**3 + 9348*y**2 - 300032*y + 250320 = 0. Calculate y.\nAnswer: -3, 1, 2, 35, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3348 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 27. Suppose p + 0*l - f*l = 247, -4*p - 3*l + 969 = 0. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134810.68 to the nearest one thousand.\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 + -141. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -103, -108?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -l - 2205, 2*l + l - 2205 = -5*k. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - ((-5 - -24) + 34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66641 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*(-3)\/(-27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4, -5*b + 7 = a - 2*b. Let d(y) = -3 + 0 + 2. Let k(f) = -f**3 + f**2 + f - 1. Let l(h) = a*d(h) - k(h). What is l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -62. Let y be 2\/n*15\/348. Let d = y + -9053\/3770. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 3*z. Let t(q) = -5*q**2 + 3*q. Let x(g) = 3*i(g) - 4*t(g). Let f be x(2). Factor -10*n - 4 + 10*n**2 - 3*n**f + 7*n**2.\nAnswer: 2*(n - 1)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 3*s + 117 = 20*i, 0 = 5*i + 3*s - 219. Calculate the smallest common multiple of i and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 - 173. Let c(a) = 2*a**3 - 6*a**2 + 4*a - 3. Calculate the remainder when c(j) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033166 to seven dps.\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -98628070 - -7.7\nAnswer: -98628062.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from juuu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4303, 4301, 4299, 4297, 4295?\nAnswer: 4293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -27 - (-44 + 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*s**2 - 9*s**5 + 2*s**4 + 74*s**2 - s - 77*s**2 wrt s.\nAnswer: -540*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d - 11879 = -2*i, 7119 = 3*d - 3*i. What are the prime factors of d?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) - (-1901)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 6. Suppose 3 = -p*q - 0*q. Let y = q + 10. Solve 2*x = 4*n - 4 - 2, -x = 4*n + y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 18*k + 1117. Let t be y(-62). Sort 48, -2, t, -3 in descending order.\nAnswer: 48, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 593 + -590. Solve -u = -y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -25. Suppose -y*u = -11*u. Suppose u = -3*t - t + 48. Solve -5*s - t = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h - 5. Let k(r) = r + 1. Let l(y) = 19*y - 1. Let n be l(1). Let w = -15 + n. Suppose 0*f + 18 = -w*f. What is f*k(i) - x(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -12 - (-11 + -1) - 22\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) 7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17081, -17079, -17077, -17075, -17073, -17071?\n\"Answer: 2*f - 17083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -14. Let u = -5 - m. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1182, -1180, -1176, -1170, -1162?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 5*a**2 - 2*a - 1. Let i be (-37)\/(-7) - 12\/42. Let b be z(i). Do 0 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -35*c**5 + 1550*c**4 - 9470*c**3 - 69520*c**2 + 100225*c - 22750 = 0.\nAnswer: -5, 2\/7, 1, 13, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -35 + 13 - 1013*r - 16. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -597 - -1138. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945891 divided by 105099?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327957?\nAnswer: 709, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -44. Suppose -7*n + 62 = -d - 4*n, m*d = 3*n - 274. Let c = 131 + d. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7700)\/(-168))\/55*1296\/(-24)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-36)*3171\/7550. Let u(z) be the third derivative of 0 + 0*z - 7*z**2 + 0*z**3 + o*z**5 + 0*z**4. Let d(w) = 2*w. Calculate d(u(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = 4*d + 7, -2*d - 30 = -4*y. Let s = 441 - 441.1. What is the fourth smallest value in s, y, 0.8, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-345)*15)\/(3*(-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 45*u - 1401 - 2757 = -39*u for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -39, -69?\n\"Answer: -30*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633 is divided by 407.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - 90*k - 52. Let d be p(20). Calculate the highest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2344 or 3052?\nAnswer: 2344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -956, -1461, -2262, -3353, -4728, -6381?\n\"Answer: v**3 - 154*v**2 - 50*v - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5995 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -827\/5, -1, -17, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 974249850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.68 + 0.32. Which is smaller: c or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79281 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1761*3553\/(-88) + (-3)\/8. Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) -1\/3 (c) -0.1 (d) -0.5 (e) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -236?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and 73\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 8. Let s be m(-6). Let w be 1*(-4*s\/(-4) + 6). Suppose 60900 = 3*l + w*l. Round l to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -0.00282?\nAnswer: -0.49718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**3 + 2*c**2 + 2*c - 11. Let o(l) = -9*l**3 - 3*l**2 - 3*l + 12. Let k(y) = -4*o(y) - 6*x(y). Differentiate k(q) with respect to q.\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 + 24130*s**2\/3 + 24376912*s + 700182264.\nAnswer: 2*(s + 29)*(s + 6018)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22419?\nAnswer: 3, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/2783 and -79\/125114.\nAnswer: 2877622","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/30 + y**4\/6 - y**3\/3 - 12*y. Let m(g) be the second derivative of s(g). What is the derivative of m(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1122.1879+0\nAnswer: -1122.1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88262 + 59842. Round f to the nearest one hundred.\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 293, 1, 5, -16.\nAnswer: -16, -3, 1, 5, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - w - w + (-5 + 2 + 2)*(-w + 2*w - 2*w) - 3*w + 2*w - w + (w - 2*w - w)*(2 - 2 - 2) + 20*w - 64*w - 130*w.\nAnswer: -173*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-175)\/70*4\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14625872*x**2 - x - 13535469?\nAnswer: -29251744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 121069 - -15915480\nAnswer: 16036549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**2 - 5 + 4 - 62*u + 6 + 4*u**5 - 24*u**2 - 4 wrt u?\nAnswer: 80*u**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3 - 3)*(2*u - 1 + 1) + 2*u**2 + 0 + 0 + (2*u + u - 4*u)*(0 + 0 - 2*u) + 14*u**2 - 5*u**2 + 40*u**2.\nAnswer: 55*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5583 equal to -19858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157)\/(5652\/(-1152))*6\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 11*k + 4*i = 15, 0 = 4*k - 2*i + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/(-3))\/((-4)\/(-42)). Let d = -33 - n. Suppose -w + 3*j = -100, 3*w - 176 = 5*j + 140. Calculate the greatest common divisor of w and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 + 3*y - 3*y)*(2 + 2 + 1) - 3*y**2 + y**2 + 0*y**2 in the form z*y**2 + g*y + n and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h. Let l(v) = 29*v**2 - 62*v**2 + 36*v**2. Calculate l(p(x)).\nAnswer: 363*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -3. Let o be (-5 + 1)*(21\/(-10) + h). Which is the nearest to 1? (a) -1\/5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - -4.5. Let y = v + -9. What is the second smallest value in y, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -641 + 680. Suppose -15 = 3*a - 4*a + 3*k, 5*a - 3*k = u. Solve 13*b - 11*b + a = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-117)\/(-793))*(-3)\/(-1)*(-14)\/42?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64710000 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 f when three letters picked without replacement from {p: 5, f: 1, g: 3, a: 5, b: 4}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 5*r - 18, -q + r = 2. Solve -6*s**3 + 7*s**3 - 3*s + q*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1783 - -1814. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -133006, -266146, -399270, -532372, -665446, -798486?\n\"Answer: o**3 + 2*o**2 - 133153*o + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 311 and 144?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, u: 3, n: 1}. Give prob of sequence uunu.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311733 is divided by 419?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = -5*q + 28, q - 4*n = -2. Suppose 687 = q*a + 267. Is a a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -5.25 (c) 3 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429516 divided by -1164.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-3)*(-375)\/100?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12056910 rounded to the nearest 100000?\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h - 159 + 34 = 21 + 43 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.185 take away 2375.3?\nAnswer: -2449.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -14 + -3 + -2 - 0 - 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/7))**(9\/5)*n**(-1\/4)*n**(2\/7)\/n*n**(-5\/3)*n**(-7)*(n**(1\/2))**(-42\/11) assuming n is positive.\nAnswer: n**(-6089\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/9)\/v**(-5)*v**4*(v\/v**(-1))\/v assuming v is positive.\nAnswer: v**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.1, 0.17, 2\/3, -5 in decreasing order.\nAnswer: 5, 1.1, 2\/3, 0.17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/72*-3*1\/(-1). Let g(q) = -q**3 + q**2 + 4*q - 4. Let s be g(3). Let t = 4 + s. Is r != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(36\/(-28) - -2). Suppose 18*m + 19 - 55 = 0. Solve -z*g**4 + 0 - 2\/7*g**3 + 5\/7*g**m + 2\/7*g = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*r = 2*j + 1, 3*r - 2 = -2*j. Let x(g) = -6*g - 3. Let t = 144 - 142. Let b(n) = 2*n + 1. What is j*b(d) + t*x(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1043750, 2087729, 3131708?\n\"Answer: 1043979*d - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-194156)\/(-20))\/(69\/230) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 212.7131 kilograms?\nAnswer: 0.2127131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2. Let c(f) be the second derivative of f**3\/2 - f - 9. What is b(c(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15781739 to four decimal places.\nAnswer: 0.1578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h = 8. Suppose 0 = -3*n - 2*v + 51, -13 = h*n - 5*v - 58. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 63?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*q + 51*q + 4395. Calculate the remainder when q is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/28737 - 90473\/134106. Find the common denominator of t and 65\/903.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 22 - p + 62 in the form i + m*p and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 81*b - 48*b.\nAnswer: -108*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 1. Let y(z) be the second derivative of z**3\/6 - 51*z + 3. Let n(h) = l(h) - y(h). Let f(q) = -3*q**2. Determine f(n(m)).\nAnswer: -27*m**2 + 18*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16 = 4*z, 12*y = -z + 13*y - 3. Find the common denominator of z*142\/48 + (-12)\/48 and 59\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) - (sqrt(392) - (sqrt(392) - -1*(sqrt(392)*1 + sqrt(392)))))\/sqrt(8))\/(-3*-1*sqrt(448) - sqrt(448)).\nAnswer: 3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3614.\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o = 11 + 43 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 966192 divided by 15\nAnswer: 322064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4207835?\nAnswer: 5, 19, 44293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1348\/7?\nAnswer: -1348\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-27) + 1 + 0. Let f = -272 + 275. What is the nearest to -1 in f, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 54 = -4*f. Let b be (12\/f)\/((-2)\/(-57)). Suppose -x + 1 = -b. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-31)\/(-4)) + 115\/100 + (-771)\/15\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*(l\/(l\/((l\/(l*l*l*l*l**(2\/11)*l*l))\/l)))\/l*l**(6\/7)\/l)**(-42))**(8\/3))**(1\/24) assuming l is positive.\nAnswer: l**(820\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let j(o) = 0 + 1 + 6 - 14*o + 5. Let x(q) = -q + 1. Let g(r) = j(r) - 12*x(r). Calculate u(g(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.8 + 28.8. What is the biggest value in 0, -2, b, 4\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34213 - 334?\nAnswer: -40102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -17*g**2 + 2*g - 197. Let z(y) = 8*y**2 - y + 113. Determine -4*m(v) - 7*z(v).\nAnswer: 12*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1353 and -47.31?\nAnswer: 47.4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 48653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*z + 9\/4*z**3 - 3*z**5 - 15\/4*z**4 + 15\/4*z**2 + 0 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t. Let h be i(-2). Let c(f) = f**3 + 5*f**2 - 5*f + 5. Let m be c(h). Let z = -1 - m. Is z at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 times 0.726?\nAnswer: -334.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + 0.03. Let t = v - 0.06. Let d = t + -0.35. Which is the second smallest value? (a) 0 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -544 + 548. Which is the closest to 0.04? (a) 1 (b) -4 (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/(-7))\/(96\/448). Suppose -112 = -x + 4*t, t = -0*x - 2*x + 260. Calculate the highest common divisor of r and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:05 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h**2 - 9*h + 5. Suppose 3*k - 25 - 20 = 0. Let i be w(k). Suppose -1279 = -2*g - 0*l + l, -4*g = 2*l - i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 3*z + 25, -k + 3*z - 5 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154323 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545346835 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: Sort 4, 30, 359 in decreasing order.\nAnswer: 359, 30, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 37 + -3 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 9) to base 13.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 23614800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.031 + 0.231. Suppose 3*g - 30 = 4*v, 4*g + 28 = -2*v - g. Let i be 22\/24 + 6\/v. Does i = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+0.073\nAnswer: 3.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10 - (9044\/144)\/(-7) and 149\/66.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 + m**3\/3 + m**2\/2 + 5*m. Let w be h(-1). Suppose 2*r - 119 = v, -2*r - 2*v - v + 107 = w. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1506 - 3205?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 54 = 3*y. Let s = 35 - y. Solve -5*k - r + 12 = -s, 4 = k + 3*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1126 - 36*l - 1126 - 1 + 1 - 2*l + 2*l + l - 4*l + (1 - 1 + 2)*(-1 + 1 + 2*l) + 1 + 2*l - 1)*(-3 + 3 - l**2).\nAnswer: 33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9)*(-930)\/(-1085)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 225364 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205877 + 205892. Let f = -2 - -7. Solve 0 = f*j, 3*u = -4*j + j - b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 4*w + 6*w - w**2. Let t be g(5). Let l = t + -3. Do -2\/7 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 129 = 899. Suppose -20 = -82*q + i*q. Solve 5*z = 3*v + 2*v - 5, -31 = -q*v - 5*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22901958.\nAnswer: 2, 3, 17, 74843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:16 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30719\/60 - -512. Find the common denominator of 115\/18 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111101001001 (base 2) to base 16.\nAnswer: 2f49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = p - 18, -p + 3*c + 5*c + 38 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.56103 centuries to millennia.\nAnswer: 8.456103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*s + 49967 = -1034*s - 45499 - 16793 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230\/(-25)*(-90)\/18 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141106136 (base 7) in base 2?\nAnswer: 100011000101000000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -52. Suppose -c*f + 4*t + 22 = 0, t - 2 + 6 = 0. Let 3\/5*u**f + 2\/5*u + 1\/5*u**3 + 0 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)\/sqrt(3) + sqrt(33))\/(sqrt(3) - sqrt(21)\/sqrt(112)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r + 11. Let p be z(5). Find the common denominator of 7\/20 and (3 - 1) + (-351)\/p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 6*h**2 - 1159*h + 12223. Give r(11).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-25))\/(-28*4\/(-80)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 4421462?\nAnswer: 4421434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072275633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*r - 67*r - 11*r**4 + 4 wrt r.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143940916.\nAnswer: 2, 7, 5140747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.075 + -0.025. Which is the third smallest value? (a) 1\/2 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-296)\/6 + ((-256)\/24 - -10). What are the prime factors of (-3)\/(-5) + (-16020)\/y?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 423207 - -0.2.\nAnswer: 423207.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-30)\/200*-2*4\/48.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**3*h**2*t**3 - 1760*a**3*h - 3*a*h*t**3 - 16000*h**3*t**3 - 4*h*t**3 - 7*h wrt h?\nAnswer: 32*a**3*t**3 - 96000*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let j(c) = 23*c + 2. What is j(a) - 2*s(a)?\nAnswer: 25*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 + -11?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 437396 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q - 26. Let s be -1*(q\/(-3) - -157276). Let o = 287279 + s. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9139832624 to the nearest one million.\nAnswer: 9140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 8)\/(1 + 1). Suppose -11 = m + 3*f + 5, -2*m + 5*f + 12 = 0. Sort g, m, 2 in increasing order.\nAnswer: m, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 964*m**2 - 2 + 2 - 887*m**2.\nAnswer: 77*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -50 - 2\/3*l**3 + 0*l - 2*l**2. Factor y(o).\nAnswer: -2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10035 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 1. Let r be v(-2). Let k be (-2)\/9*-3 - 2. What is the smallest value in 0, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -479, 120?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 - 2) + -52)*1755\/2340. What is the nearest to -2\/3 in 4\/9, n, 6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 7*g**2 - 22*g - 160. Calculate the least common multiple of 1890 and w(-10).\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 192. Is 30 a factor of j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2232*b + 88 - 88.\nAnswer: -2232*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316626, -633254, -949878, -1266498, -1583114, -1899726, -2216334?\nAnswer: -2532938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t - 4. Suppose -5*z = -4*z - 1. Let m be w(z). Is m\/(-15) + (-76)\/(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -32*j**2 + 20*j. Let h(a) = -240968*a. What is h(o(x))?\nAnswer: 7710976*x**2 - 4819360*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3233, -13180, -29615, -52538?\nAnswer: -81949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4539 or -4036?\nAnswer: -4539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -5)\/8 + 176175\/18.\nAnswer: 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 33*b**2 - 234*b - 3492. Calculate s(-16).\nAnswer: 8700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 19*n**2 + 41*n + 122. Determine i(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3378?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = 137*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24188 - 4a?\nAnswer: 24139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - j - 24 = 0, 4*y - 10 - 2 = -2*j. Suppose -y*s - 17 = a - s, -3*a - 6 = 3*s. Find the first derivative of 3*d - 1 - d**2 - a*d wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 10) + (-2 - 0 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 25. Suppose -4*c - 3*k + 30 = 0, 0 = c + 8*k - 10*k - 13. Solve -2*a = 4*w - j, -2*w = 5*a - c - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 2. Let k(t) = t + 2. Let a(n) = 5*j(n) - 6*k(n). Let f(d) = -d**3 - 8*d**2 - 7*d - 4. Let c be f(-7). What is a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 201 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)\/h**(-12))**(2\/21) assuming h is positive.\nAnswer: h**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10, -t + 0*t = 3*l - 8. Let c(j) = -j + 3. Let k be c(3). Suppose l*s = 6*s + 2*p - 46, k = -3*s + 2*p + 17. Put s, -2, 0 in decreasing order.\nAnswer: s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 3*b - 173. Let z(j) = -j**2 + 2*j + 174. Calculate 2*y(x) + 3*z(x).\nAnswer: x**2 + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 + -103?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 17*h**2 - h + 19. Let g be b(17). Let o = -0.077 + -33.923. Let m = o + 34.2. What is the third smallest value in -3, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2657*m**2 - 250 - 1923*m**2 + 249 + 8647*m**6 wrt m.\nAnswer: 1037640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -30 + 5. Suppose -2*d - o + 12 = -3*o, -r = -5*d + 4*o. Is (-154)\/(-3) + d\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585.\nAnswer: 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -948 - -18. Let r = -159 - z. List the prime factors of r.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/9 - 152*x\/3 + 2888 = 0.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -10, -5, 1, 0 in increasing order.\nAnswer: -10, -5, 0, 1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33774772?\nAnswer: 2, 1213, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -343 * -0.4\nAnswer: 137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y - 2*d - 16, 38*y - 7*d + 6*d + 6 = 36*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2. Let q(a) = -32*a**2 + 7*a. Give q(k(r)).\nAnswer: -1152*r**4 - 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505123018.\nAnswer: 2, 19, 101, 131611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 10*j - 10. Let k be a(-8). Let i(n) = 89 - 2*n - n + 2*n - 77. What is i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010000 (base 2) to base 16.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 + 102?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37980*d**3*m**4 - 148*d**3 + 2*d**2*m + 2*d**2 + 3*d*m + 9*d - 33*m**5 wrt m.\nAnswer: -455760*d**3*m**2 - 660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:47 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -2202?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100001110100101100 (base 2) to base 4\nAnswer: -201310230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 - 6*n + 5. Let i be u(-6). Let r = -42 - i. Suppose 3*q - 2*o = 16, 0 = q - o - 2*o - 10. Solve -q*l + r = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*28\/56.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 965 + -1825. Let g be (o\/72)\/(24\/(-18)). Let w = 1205\/168 - g. Find the common denominator of -121\/12 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*r - 2*r + 5, 2*r - 4*s - 20 = 0. Solve -w - 5*w + 12 = r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -29, -3, 2, 0.1 in ascending order.\nAnswer: -29, -3, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in 2\/7, -3\/5, -2, -0.3, -423?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/68 + 1117\/(-2). Find the common denominator of (-13)\/(7176\/m) + 6\/(-8) and -125\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95.16 + 104. Let n = -9 + q. Let i = 0.06 + n. Put i, -2\/3, 0.5 in decreasing order.\nAnswer: 0.5, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -5)\/((-12)\/114). Let s = x - 27. What is the remainder when 18 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 28 - 105 - 2*c**2.\nAnswer: -2*c**2 - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149538739, -149538740, -149538741, -149538742, -149538743, -149538744?\nAnswer: -149538745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1506, -1507, -1510, -1515, -1522, -1531?\n\"Answer: -n**2 + 2*n - 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7682781723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 8*x - 12. What is the tens digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45\/7 in -4, -4\/7, 3\/4, -1.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(1 - 3)*-1. Let u = 8 - a. What is the smallest common multiple of 9 and 1*u + 3 + -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 10)*(-t + 3*t - 4*t)*(t + 0*t + 2*t)*(-1 + 1 + 2).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*g - 4*g = -10, -6 = -q + 4*g. Suppose 2*f = 4*y - 2, 3*y + 1 = -q*y - f. What is the nearest to y in 0, -3, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*((2*sqrt(374) + sqrt(374))\/sqrt(11))\/(sqrt(2) - 2*(sqrt(2) + sqrt(18) - sqrt(2))))**2*-2.\nAnswer: -4896\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfevnbb. What is prob of picking 1 b and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 1, i: 1, e: 2, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 68 = -17*g, 3*w - 2*g - 932 = -940 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(475) + -3)**2*4*4 - (((sqrt(190)\/(sqrt(20)\/sqrt(2)) - sqrt(19))**2 - 4*sqrt(76)\/sqrt(4)) + -2).\nAnswer: -956*sqrt(19) + 15490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 6*k**2 - 4*k - 1. Let s be u(4). Let q = -9 + s. Is 7 + 2*(-3)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 - 22380 + 7471 + 7497 + 7412.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4531610133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -328, -25881, 3?\nAnswer: -25881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, r: 1, o: 2, s: 1, c: 1}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95*(-18)\/225 + (-3 - 4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkg. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*102\/(-544))\/((-3)\/120)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31*(-66)\/5*(-155)\/62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1394.9982 + 1\nAnswer: 1395.9982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 6, -12, 5, -2, -4, 23 in decreasing order.\nAnswer: 30, 23, 6, 5, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*q, h + q + 3*q = -3. Suppose 0 = -2*u - 23 + 81. Let n = u - 16. Calculate the remainder when n is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 633853 divided by 1987?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65689, 65690, 65691?\n\"Answer: p + 65688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (108 - 71) + (110 - 65)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 6*j - 9*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 5*b + 2*b, 0 = 5*j - 4*b - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242522363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, t: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*y**2 + 1 + 1 - 20*y**2 + 73*y**2 to c*y + o + f*y**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2*h**2 - 2. Let c(t) = 5*t**2 + 16. Give c(v) + 4*d(v).\nAnswer: 4*v**3 - 3*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-2*(sqrt(27) + sqrt(108)))\/(-5*1*sqrt(9)) - (4 + (sqrt(243)*2 + 5 - sqrt(243))))*4)**2.\nAnswer: 11232*sqrt(3)\/5 + 105383\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 109 + 125. Solve 5*g = 4*r - 28, 3 = -u*g - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -3*h + 3*w, -23*w + 67 = -13*h - 20*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (30\/35)\/3. Sort 0, -1\/6, l.\nAnswer: -1\/6, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {a: 4, t: 5, n: 5, g: 3, o: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6))**(-1\/52)*(d\/((d*d**(-2\/15))\/d*d)*d)**(2\/13) assuming d is positive.\nAnswer: d**(277\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogrlqqj. What is prob of picking 1 q, 1 j, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (-5 - (-5 - -2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -12. Let m be 3 + (3 - p) - 1. Let f = -4\/37 - 136\/111. Which is the smallest value? (a) 1\/4 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 26) + (3 - -4 - 11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -14, -55, -124, -227, -370?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 6:33 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -1\/1990 (c) 0.56 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 1. Let w(k) = -4*k + 5. Suppose -5*u + 35 = 5*f, 2*u + 11 = 5*f + 4. Suppose -a = 3*a - u. Let g = 480 + -474. Calculate a*w(p) + g*z(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*u**3 + 919*u**3 - 422*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 18*l + 216 = 29*l. Calculate the greatest common factor of l and 582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -4.8, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 37*k + 250. Calculate q(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/295 or 0?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75950 is divided by 8998.\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6560 by 80.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (424\/(-477))\/(4\/3 + -2) - 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041236?\nAnswer: 2, 7, 41, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329653 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**8\/504 + 2*r**7\/105 + 2*r**6\/45 - r**5\/15 - r**4\/4 + 1700*r**2. Let c(y) = 0. What is y?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1468*w**2 + 1094*w wrt w.\nAnswer: -2936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 46 - 8*m - 85.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -1 - (-3)\/(-3). Suppose -j - n*j + t = -143, 5*j + 4*t - 210 = 0. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(2 + -5))\/(-1). Suppose -2*z - k = o - 4*z, -2*o - z = 2. Put o, -3, -5 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*(m*m\/m**(-2))\/m*m*m**(-6\/13)*m*m**(-2\/15) assuming m is positive.\nAnswer: m**(-1286\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -17*r + 25*r. Suppose 4 = 2*g + 2*l, -r*g + l + 8 = -l. Solve 3 = g*p + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2091*l**5 + 345*l**4 + 63314*l**2 - 2*l + 4?\nAnswer: -125460*l**2 + 8280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (78\/(-12) - -7)*48 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 23467 = 3*d, -23495 = -3*d - 13*i + 15*i. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*m = 0, -3*m - 2*m = 2*x + 27. Let j(s) = -s + 18. Let k(a) = 3*a - 53. Let i(l) = x*k(l) - 17*j(l). What is i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-72)*(-1)\/2. Let b(u) = -4*u + 63. Let d be b(16). Does d = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -84963740?\nAnswer: 339854960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.46555 * 0.0823.\nAnswer: 0.038314765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97687\/7 + 13932. Let q = j - -23. Let r be 1 - (-10)\/(-8)*1. Sort -3, r, q in ascending order.\nAnswer: -3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*i**3 + 5*i + 3*i + 3*i**2 - 8*i - 2*i**2.\nAnswer: -53*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47826 is divided by 22911.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + p**5 - 2*p**5 + (-5*p**2 - 6*p**3 + 5*p**2)*(25*p**2 - 21*p**2 + 11*p**2).\nAnswer: -91*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -1 (c) 0.2 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2025696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2240700 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54303995*a**2 - 18*a + 245166?\nAnswer: -108607990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17988*p + 545*p + 2464889 for p.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 - 115. Factor 0 + 6\/11*w**4 - 6\/11*w**3 + 0*w + 2\/11*w**p - 2\/11*w**5.\nAnswer: -2*w**2*(w - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 - 17*u - 522. What is the thousands digit of w(32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 78, 126, 212, 348?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111789950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 2 c when four letters picked without replacement from ccdcdclllcl.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 + 0)*(1 + 2 - 2) + 4 - 5 + 0 - 34 + 62 + 163)*(0*u**3 + 5*u**3 - 4*u**3) to i*u + q*u**2 + s*u**3 + d and give s.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7902 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*f - 4, -4*j + 0*f + 24 = 4*f. Suppose 22 = j*d - 38. Suppose 4*a = d - 18. Solve -2*l + 1 + a = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21405 - 4\/(-1)) + -5. Let y = 30939 + z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 + 55*o**2 - 34*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166974 and 10.\nAnswer: 834870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4 - 8. Let j = 12.618 - 0.018. Let s = -13 + j. Which is the second biggest value? (a) s (b) 1\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/6 + 3)\/((-12)\/56). Let o(z) = -7 - 4*z + 6*z - 4*z - z. Let i be o(-4). Is i > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270 - -131. Let w = 58 + d. Is 0 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16650 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 87\/8, 4\/5, 272806?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 717721 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 678 and 1?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*2819.\nAnswer: -28.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + h**2 - 2*h + 273. Let y be m(0). Let n = 309 - y. What is the smallest common multiple of 12 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 351276283 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 50138017?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17508, 10, 2.6 in descending order.\nAnswer: 10, 2.6, 0.17508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 10 - 4 = 0. Let r be ((-4)\/4)\/(k\/24). Is r\/(-8)*(-2)\/1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g**2 + 32*g**2 - 13*g**2 - g. Calculate l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2128, 17130, 57850, 137146, 267876, 462898, 735070?\nAnswer: 1097250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 8 + (-3 - (-9 + 4)) + (4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.69134 rounded to 2 dps?\nAnswer: 191.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637932469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 5*m - 12*m)*(-7924*m - 7931*m + 15856*m - 401*m**2).\nAnswer: 10426*m**3 - 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47672 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 812 and 504.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 + 246 - a - a + 234 + 0*a + 241 - 948.\nAnswer: -2*a + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*w - 34680, -4*w + 1705 = 5*m - 32947. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67198510 to the power of 1\/2, to the nearest integer?\nAnswer: 8197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q - 6. Let b be 2\/(-3)*-3 - (10 - 2). Let d(m) = -23*m + 19. Let t(g) = -47*g + 39. Let y(k) = -13*d(k) + 6*t(k). What is b*y(w) + 13*a(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 + 225. Which is smaller: l or -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218542 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (7 - 8 + 7)*(-6 + 1 + 4))*(-8*u + 727 - 727).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*r**3 + 106*r + 1?\nAnswer: -648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 83. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 + 2*g + 6. Let z be w(0). Let s(o) = o - 16. Let a be s(z). Calculate the common denominator of (-904)\/a*4\/32 and 101\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845 - 209 - 207 - 4*g**2 - 213 - 220.\nAnswer: -4*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5618072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 11*m**2 - 28*m - 184. What is the least common multiple of f(-12) and 2729?\nAnswer: 21832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-207)\/368)\/(1\/2). Let p = -0.09 + -1.91. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 410*h + 1251. Determine g(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let b(d) = 84*d**2 + 24*d - 24. Let a(h) = -17*h**2 - 5*h + 5. Suppose -72 = -3*w + 6*w. Let q(j) = w*a(j) - 5*b(j). What is q(y(z))?\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445110 is divided by 148305?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3299064 is divided by 1099640.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(204) + -5*sqrt(204)*1)\/(-4*(sqrt(12) + sqrt(1452)*2)).\nAnswer: sqrt(17)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c - 0*c. Calculate the common denominator of c\/2 + 9\/14 and 11\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let f(k) = -7*k**2 + 8*k - 14*k**x - 2*k**2 - 5 + k**2. Let d(c) = 9*c**3 + 5*c**2 - 5*c + 3. What is 8*d(a) + 5*f(a)?\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9798*t - 418. Let w be g(9). Round w to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0. Let m be (-3)\/(9\/(-6)) - 10. Let k = -9 - m. What is the nearest to k in -0.4, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011001 (base 2) to base 8\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252) + 1)**2 - (-3 + 2*sqrt(252))**2.\nAnswer: -749 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906*l**2 - 454*l**2 - 3*l**3 - 452*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:41 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecq when three letters picked without replacement from {c: 2, o: 6, p: 1, x: 3, e: 4, q: 4}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {i: 1, v: 1, o: 5, e: 3, s: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 73*y - 74*y + 2, -16 = -2*c + 4*y. Let g be -10*(-3)\/(0 + 3). Suppose j = 2*j - g. Solve -c*f - 2 = j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/1272812?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 21*y**2 - 45*y - 207. Let m be g(24). Solve 120 = 426*z - m*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3 + 35279162*f**2 - 155577426567360*f + 155577391288200 = 0. What is f?\nAnswer: 1, 8819790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -3\/20*f**5 - 3*f + 0*f**3 + 0*f**4 + 0 - 5\/2*f**2. Differentiate l(a) with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouzsozozsozo. Give prob of sequence szo.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 179686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289207 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27444 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/(-11) - 7 - (-40 - -43) - -18.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-8))\/((-3)\/180). Suppose 9 = -3*p - z. Let k = p - -34. What is the remainder when 1 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -16. Suppose 2*q + x*f = -10, 3*f + 8 = -2*q + 2. Let n be q*((-10)\/3)\/(-2). Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 17*q**2 - 7*q**2 - 5*q**2.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let z(i) = 21958*i**2. What is z(o(j))?\nAnswer: 87832*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 151, 5, 3 in increasing order.\nAnswer: 3, 5, 21, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.39 + -0.39. Suppose -g - 3*u = -13, 5*g - 2*g - 9 = u. Suppose 2*c + 0*c + 10 = -3*a, -g*c + 2*a = -12. Do c and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 1. Let a be b(-2). Let z be 293\/(-3) - 2\/a. Let r = z - -182. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5670 = 31*w + 11*w. What is the greatest common divisor of 315 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 247*n - 6659. Let g be l(72). What is the highest common factor of g and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 16*k**2 + 22*k**2 - 5 - 40*k**2.\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from aaahhhahahahachchhc?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 170 times -166.55\nAnswer: -28313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 36*f**2. Let c(i) = -20*i - 11*i - 19*i - i + 56*i. Determine z(c(d)).\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 4*t**2 + 4*t**2 + (2 - 2 + t**2)*(4 - 5 - 1) - 7*t**2 + 11*t**2 + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3 + (10 - 7) - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7 greater than or equal to 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**(28\/5))**(-1\/12) assuming u is positive.\nAnswer: u**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + h - 3. Let u be n(-3). Let q(y) = -y + 15. Let x be q(u). Solve 6 = -x*b - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*50\/2*(-1047)\/1047?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 0*t)*(2*t + 4*t - 4*t) + 2*t**2 + t - t - 204*t**2 - 2065182*t + 2065182*t.\nAnswer: -206*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = -4*h, -3*u + h = 59 - 76 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7705896\/220 - (-6)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 111575\nAnswer: 557875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 4*o**2 - 4*o. Let z(p) = 6*p**3 - 13*p**2 - 13*p - 1. Let k(c) = 7*h(c) - 2*z(c). Let k(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**2 - 19\/2 - 9*z.\nAnswer: (z - 19)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 129 (c) 67 (d) 4 (e) 10 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(8\/3)*f**0*((f\/f**(-12))\/f)\/(f*f**(-1\/6)) assuming f is positive.\nAnswer: f**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -240 + 292. What is the greatest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 40. What is j(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1484749, -2969613, -4454477?\n\"Answer: -1484864*v + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -971 + 977. Solve j*f - 2*f - 2*t = -14, 5*f - 5*t = -15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04243 times -4?\nAnswer: 0.16972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 - t + 12. Let x be y(8). Determine p, given that 50 + 5*p**x + 58*p + 102*p + 40*p**3 + 38 + 120*p**2 - 8 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 0*g**2 + g**2 + (1 + g - 1)*(-4*g + 0*g - 2*g) - 4*g - g**2 + 4*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*t - 25, 7 = -2*t - 3. Suppose 8*r - 10*r + 6 = w. Suppose 2*a + 3*z - 7037 = -2*a, 5283 = r*a + 4*z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -50 (c) 1\/5 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**5\/9 + 125912*g**4\/9 - 665794*g**3\/9 + 1187780*g**2\/9 - 791896*g\/9 + 143984\/9 = 0. Calculate g.\nAnswer: -8999, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -757*v**5\/10 - 385*v**4\/4 + 271*v. What is the third derivative of j(q) wrt q?\nAnswer: -9084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {b: 1, o: 1, i: 1, p: 1, f: 1, l: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 19120.\nAnswer: 210320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -6, -2\/29, 3910424?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaak when four letters picked without replacement from {k: 2, e: 12, a: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(15)*-1)\/((sqrt(48)*2 - sqrt(3)) + sqrt(3)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8436, -8394, -8352, -8310, -8268?\nAnswer: -8226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = 3. Let v(t) = t**3 - 4*t**2 - t - 5. Let n be v(h). Let m be ((-3)\/n)\/((-2)\/(-12)). Solve 5*a = g - 1, -a - 3*g - m*g - 21 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4269 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6564956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11070544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 451.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -57, -2 in descending order.\nAnswer: -2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 269, 463, 687, 935?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138228, -276484, -414738, -552990?\n\"Answer: g**2 - 138259*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4542 to 2 dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14209 is divided by 90?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16113 (base 7) in base 4?\nAnswer: 1012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b. Suppose -7*x - 2*x - 76320 = b. Let d be 25\/2*x\/1*2. What is d rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 43. Find the common denominator of 55\/7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a - 15. Let v be b(-2). Solve v = m - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:23 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/1084 - -1087\/3252. Let r = -1\/20 - 9\/20. Sort -0.01, l, r, -0.2 in ascending order.\nAnswer: r, -0.2, -0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 32688130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 5) to base 11.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -45 - (6 - (-5 + 33)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 5*b**3 + 6*b**3 + (-b - 4*b + 2*b)*(1 + b**2 - 1))*(-3 + 3 + 2*b).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 + 4574?\nAnswer: 4594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + f + 1 - 2, -z = -4*f + 4. Suppose 3*p + z*p = 9. Let y(a) = -1 - 102*a + 105*a - p. Determine y(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -110*b. Let g(k) = 165*k. Calculate v(g(x)).\nAnswer: -18150*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (135678\/2*(-4)\/(-36))\/((-19)\/(-57)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 2*u - 5. Let x = 11 + -5. Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.2 - -0.8. Let l = y + -5.06. Let g = l - -0.26. Which is the closest to g? (a) 5\/4 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*1*(-1475)\/25311*-39.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -20. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 175 = -7*i. Suppose 7*f - i = 2*f. What is the remainder when 17 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30556810.\nAnswer: 2, 5, 433, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 107. What is the highest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -489? (a) 13 (b) -0.18 (c) -5 (d) -2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2924 = 37*a. Calculate the remainder when a is divided by 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 3 + 3 + (-5*p + 5*p - p**2)*(-3 + 2 + 0) + 2*p**2 + 4*p**2 - 2*p**2 in the form c*p**2 + x + k*p and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279937441 by -58897.\nAnswer: -4753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -498*b - 59*b**3 + 498*b - 3 - b**3 + 3 + b**3 - 4 + 4 + (b - b + 2*b**2)*(-3*b + b + 0*b) to v*b**2 + k + g*b + j*b**3 and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssisisiszsiwswwisw. Give prob of sequence wi.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 255, 3\/7, 10, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 124 + 1442 = 0. What are the prime factors of (27724\/r)\/(0 + 1\/3)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6433962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.60038 kilometers to micrometers.\nAnswer: 2600380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*h + 10 + 19, -5*h = -5*y - 55. Let g be (4\/3)\/((-2)\/(-3)). Solve -3*p - o = -g*p - h, 2*o = 5*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjjjnnjjjnnnntjjjnn. Give prob of sequence njjn.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 67. Let d = r - 45.5. Which is the nearest to -1? (a) d (b) -1\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -2 (b) -6\/5 (c) -4 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from cfccffcfcf.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -10*n - 420. Suppose 0 = -6*q + 13*q - n. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9851199, 9851226, 9851253, 9851280, 9851307, 9851334?\nAnswer: 9851361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-498)\/70 + 7)\/(4\/10). Which is the fourth smallest value? (a) -0.01 (b) -2\/5 (c) -18 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -3)*5\/(-3). Suppose -3*x + 10 + b = 0. Suppose 65 = x*h - 0*h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2315799103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 6, q: 6, x: 1, m: 1}. Give prob of sequence jqaa.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -219, -217, -215, -213?\n\"Answer: 2*o - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117641\/36582 + -4\/2613. Let n be 1286\/(-252) - (6 + -1)*-1. Let c = t + n. What is the common denominator of c and 91\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-119872\nAnswer: -3596.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7091 rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1483\/3 - 495. Let s = 0.22 - 0.32. What is the second biggest value in s, -6\/5, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155224642518 - 70161573114655\/452. Let l = 76762 + f. What is the common denominator of -115\/18 and l?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**2 - 36*j - 28*j**2 + 19*j**2 + 12*j**2 - j**3.\nAnswer: -j*(j - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 3*d**4\/2 - d**3\/2 - d**2\/2 - 6*d. Let a be (4*(-3)\/6)\/1. Let x be j(a). What is the highest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**6\/150 - o**5\/100 - 11*o. Suppose h(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 123 = 2*x, x - 40 = -3*u + 39. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000402204227 to six decimal places.\nAnswer: 0.000402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojxylxjxxxloxsloyxxl. Give prob of picking 1 l and 2 y.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-19)*i)\/((i**(-12\/5)*i)\/i))\/(i**(-21)*i**(-4)) assuming i is positive.\nAnswer: i**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = -26477 + 24501 for k.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32095 + 45967. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -15 + -2 + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-9 - 5) + 1 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-952))\/(3\/(-7))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*q - 35*q + 8*q as c*q + u and give c.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 155, 243, 333, 425?\n\"Answer: x**2 + 83*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6060 + -5611. Which is greater: o or 453?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485295.51 take away -1.27153?\nAnswer: 485296.78153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 8. Let x(a) = a - 1. Let v(k) = w(k) - 4*x(k). Determine v(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**3 + 7*n**2 + 10*n + 7. Let m(u) = -u. Let v(z) = -3*m(z) - s(z). Let k(w) = 5*w**3 + 3*w**2 + 3*w + 3. What is -7*k(c) - 3*v(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x + 10. Let b(k) = 19*k + 21. Let f be -2 + -3*(-8)\/3. Let p(j) = f*b(j) - 13*r(j). Let d(o) = o**2 - 8*o + 9. Let i be d(6). What is p(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 5*y**2 + 6*y - 3. What is the units digit of t(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**17*t*t*t\/t**(-2\/23) assuming t is positive.\nAnswer: t**(462\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 709 - 666. Solve k*g = 39*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -723, -1461, -2199, -2937, -3675?\nAnswer: -4413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*0\/1. Let d be t\/(1 + -2 + -2). Let f = d + 0. Solve f = -5*n + 15 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*v + 7849, 5*v - 3*i + 0*i = 13067. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-20))\/(-1))\/(1\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87b0 - -b4?\nAnswer: 8894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.36 - 1.36. What is the nearest to 0 in 0.5, r, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43, -33, -10 in descending order.\nAnswer: 43, -5, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 132221?\nAnswer: 132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 + -11 + 1. Let w(q) = -q**2 - 11*q + 5. What is the units digit of w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -16718*v + 151633. What is a(9)?\nAnswer: 1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -492\/180011?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**5 + 334*p**4 - 490*p**3 - 170*p**2 + 494*p - 164 = 0.\nAnswer: -1, 1\/2, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 4*r**3 + 2*r**3)*((-2*r + 0*r + r)*(110*r + 275*r - 195*r + (-2 + 3 - 2)*(0 + r + 0) + 3*r - 3*r - 2*r) + (-4*r + r + 0*r)*(2*r - 5*r + r)).\nAnswer: -362*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 461131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 73, 137, 229, 355, 521, 733, 997?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 120, 177, 232, 285, 336, 385?\n\"Answer: -y**2 + 62*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:43 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035.137 days in milliseconds?\nAnswer: 262235836800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(684) + 1 + 4 + (sqrt(19) - (sqrt(19) + 4)))**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6486 or -6487?\nAnswer: -6487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 63*g**2 - 31*g - 30. Let h be w(32). Solve 10 - 4 = h*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + x - 6*x)*(8*x**2 - 28*x**2 + 8*x**2) + (-x**2 - x**2 + 3*x**2)*(-2*x + 2*x + 2*x).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46 (b) 102 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let k(w) = 3*w**3 + 23*w**2 + 45*w. Let i(g) = -3*g**3 - 23*g**2 - 44*g. Let t(p) = -3*i(p) - 4*k(p). Let n(f) = h(f) - t(f). Solve n(d) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18206 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1338*k**3 + 1786.\nAnswer: 4014*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(108825\/406330)*(2 - 1). Let s = g + 2\/1451. Find the common denominator of s and 69\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 178\/9 (b) 0 (c) 586 (d) 3\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1664*j + 1649*j - 3313*j + 12385*j**2 + (j - 2*j**2 - j)*(-5 + 3 + 1) + 2*j**2 + 0*j**2 + 2*j**2.\nAnswer: 12391*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839918?\nAnswer: 2, 3, 306653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 876, 1652, 2334, 2928, 3440, 3876, 4242, 4544?\n\"Answer: h**3 - 53*h**2 + 928*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124879*y**4 - 3*y**2 - 8*y + 364989.\nAnswer: -499516*y**3 - 6*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = m - 4*m + 21559, 4*m + 5*u = 28749. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -726812 - -336812. What is x rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 13. Let g be 1 + -2 + s\/9. Let a = -2 - -1.9. Which is greater: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*m**3\/9 + 20*m**2\/3 + 278*m\/9 - 28\/3.\nAnswer: -2*(m - 7)*(m + 3)*(7*m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) 0.6 (b) -1\/2 (c) 2\/15 (d) 374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(22\/(-6))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -822, -3087, -7528, -14871, -25842?\n\"Answer: -121*g**3 + g**2 + 29*g + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 29 - 11) + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*q**4\/4 + 25123*q**3\/2 - 92583*q**2 - 55982*q - 8144 = 0. Calculate q.\nAnswer: -2\/7, 8, 1018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369511087?\nAnswer: 7, 31, 97, 65063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 5*m + 1. Let i be x(-4). Let a = 7 - 341. Is 3\/i + a\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Sort -4, 3, u in ascending order.\nAnswer: -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 212940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -403111 (base 7) in base 9?\nAnswer: -113634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 196*g**2 - 93*g + 18226. Give z(196).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -532144 + 11134?\nAnswer: -521010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2730 + -2731. Sort a, 142, -3 in decreasing order.\nAnswer: 142, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 5*z - 84. Calculate the remainder when (z\/(-2))\/(9\/(-6)) is divided by (-6)\/(-33) + 326\/22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + (15 + -16)\/((-5)\/55*1). Solve 258*m + 5 = -s*h + 257*m, -5*h + 25 = -5*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30011012 (base 4) to base 15.\nAnswer: e9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*u - 41*u - 15*u to t + o*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6727786?\nAnswer: 2, 13, 19, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 37*i**3 + 12*i**2 + 15*i - 5. Let d(y) = -17*y**3 - 5*y**2 - 7*y + 2. Let w(f) = 13*d(f) + 6*l(f). Give w(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -133*m + 1. Calculate the remainder when k(-1) is divided by (1 + (23 - 4))\/(152\/114).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**2 + x + 1 - 1 - 112*x**2 in the form z*x + h*x**2 + y and give h.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(4\/(-3) - -2). Let y be (1 + 4)\/1 + g. Let i(v) = v**3 + v**2 - 648*v + 50. Let c be i(-26). Put c, 1\/4, y, -1 in decreasing order.\nAnswer: y, 1\/4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26214 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.794 - 55.886. Let w = 58 + z. Let f = w + -0.314. What is f rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154508781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2141243 (base 6) in base 16?\nAnswer: -1a05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1903293 (base 10) to base 7\nAnswer: -22114650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 669147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3288 - 25?\nAnswer: -32ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Suppose -o = i*o - 25. Suppose -18*v = 3*v - 287 - 175. Calculate the smallest common multiple of v and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7632168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/24)\/(15\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by 39\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -235248 divided by 6\nAnswer: -39208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -281*r - 4*r + 11*r**2 - 30*r**2 + 6*r**3 + 13*r**2 - 135*r wrt r?\nAnswer: 36*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eewsycccc. Give prob of picking 1 s, 1 y, and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.004 + -0.896. Let b = z + 1.004. Round b to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8\/319, 2\/15, -0.04, -2, 4, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304834?\nAnswer: 2, 652417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -27. Solve 0 = g*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000680375 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 52887.16 days?\nAnswer: 4569450624000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) -0.1 (c) 1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 26403 = 37*t. List the prime factors of t.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1. Let f(i) = -i. Let k(d) = -d - 5. Let m(o) = -2*f(o) + k(o). Determine -5*b(c) + m(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 39. Let p be b(9). Let t(f) be the first derivative of 4*f**3\/3 + f**2\/2 - 1. Is t(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 28428*p**2 + 284055*p - 709950.\nAnswer: 3*(p - 9466)*(p - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -18*d**2. Let k(i) = i. Let p(b) = 8*b. Let h(r) = -6*k(r) + p(r). What is h(f(o))?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -899 divided by -42?\nAnswer: 899\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8804 is divided by 49?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38559 - 657.\nAnswer: -656.61441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*t**2 - 21 - 1317*t**2 + 21.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n**5 - 7975*n**4 + 20060*n**3 + 48005*n**2 + 3980*n - 16000 = 0. Calculate n.\nAnswer: -800, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z + 2 - 7 = -35*z, -4*r + 3*z - 6*z = -19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 2 + 9\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.955 - -12.955. What is the third biggest value in o, 0.1, -9, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 34*b - 4. Let k(j) = -2*j**2 - 17*j + 2. Determine -3*g(s) - 5*k(s).\nAnswer: s**2 - 17*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 at least as big as -2662\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkkxxkhxkxh. What is prob of sequence khk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1018677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(3\/((-3)\/1)). Which is the closest to 0.2? (a) 0.3 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2283 is divided by 203?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 93 (b) -27\/7 (c) -2\/23 (d) 0.72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*a - 34*a - 1230585 + 1230581 + (0 + 0 + 3)*(-3 - a + 3) to the form d*a + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1475, -1, 10, -4, 2, -2 in increasing order.\nAnswer: -1475, -4, -2, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b\/b**(-12))\/b))\/b)\/b)\/b*b*(b*(b\/(b*b**(-20))*b)\/b)\/b*b)**(-29) assuming b is positive.\nAnswer: b**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 810 and 2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**6\/105 - 4*j**5\/7 + 179*j**4\/21 + 40*j**3 + 63*j**2 + 265*j. Suppose t(r) = 0. What is r?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 19374 + 19369 = 8*f - j, -11*j - 13 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 h when four letters picked without replacement from {u: 1, i: 18, h: 1}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -126, -188, -248, -306?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-3)\/(-9))\/((-89)\/534). Solve -t - 72 = 38*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 11) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2*3 + (-1 + sqrt(1872))*4)**2.\nAnswer: 192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 58*t - 52*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-5))\/((-5716)\/(-235785)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i. Let m(j) = -4*j**2 - 3*j + 3. Let x(k) = 28*k**2 + 20*k - 20. Let n(p) = -20*m(p) - 3*x(p). Calculate n(g(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51156 divided by 252.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -136*c**2 + 974*c - 12. Give g(7).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9626 and 2.\nAnswer: -19252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r\/(r\/(r*r**23))))\/(r**(-27)*r**(-23\/5)) assuming r is positive.\nAnswer: r**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 94. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*j + 86*j + 271*j - 111*j)*(13 - 4 - 2).\nAnswer: 2555*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l**3 + 0 + 0*l + 0*l**4 + 31\/60*l**5 + l**2. Let q(h) = 4*h. Let o(c) = 5*c. Let r(z) = 2*o(z) - 3*q(z). What is r(p(j))?\nAnswer: -62*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in 1\/7, -352.54, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4634, -9336, -14038, -18740, -23442?\nAnswer: -28144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.34 in -16, -1\/3, -0.5, 0.36?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14615000 to the nearest 100000.\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 5745006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26709 and 4?\nAnswer: 106836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17106591 and 417.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40575 plus 8284091?\nAnswer: 8243516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) - sqrt(931)*4))**2 - (sqrt(152) - -3*sqrt(152))\/sqrt(8).\nAnswer: -4*sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30918 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or 1\/53?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Suppose -g = 2*n - 2, -l*n = -4*g + 19 - 1. What is the smallest common multiple of (2\/2)\/1*9 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(3\/4)\/h*h))\/h**(-2\/15))\/((h\/h**14)\/h*h*h**8*h))**(-9) assuming h is positive.\nAnswer: h**(-789\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/19 (b) -0.3 (c) -36 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5109)\/262*(-4)\/(-6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, 351 in decreasing order.\nAnswer: 351, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15070 - 0?\nAnswer: -15070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3194996825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + -25 - -3) + 15. Solve 67*r - 70*r - v = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143.2*-33.395\nAnswer: -4782.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from nnnnjnjnnm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169.099 + -0.099. Let y = j - 168.9. What is the nearest to -2 in -3\/5, y, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-480))\/(1\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -0.1351.\nAnswer: 0.010808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03656663119458 take away 0.067?\nAnswer: -0.10356663119458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2079\/(-42)*((-8)\/3)\/4. Let i be 4\/132*-50 - (-6)\/x. Let g = 6 + -5.5. Sort i, g, 2 in descending order.\nAnswer: 2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 + 3*r + 6. Let a be ((-129)\/15 - -4) + 3\/5. Let d be 3 + a\/(-6)*-12. Let i be u(d). Which is greater: 17 or i?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422079057?\nAnswer: 3, 46897673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 + 539*t + 86. What is the units digit of q(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.159691 to 2 dps.\nAnswer: -265.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -233, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/606*(12\/(-27))\/(3720\/(-3348)).\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 12. Suppose -4*l = -n*l + 2*t + 2, 0 = 3*l + 3*t. Find the second derivative of -3*i - 28*i**5 + 51*i**l - 51*i**2 wrt i.\nAnswer: -560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2122182, -4244362, -6366542?\nAnswer: -8488722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2178 - -1968)\/((-14)\/(-8)*-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232*(9\/216)\/(59\/708)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -4)*1)**2 + 2*(3 + sqrt(1008) + sqrt(1008)).\nAnswer: -48*sqrt(7) + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7015, 28041, 63093, 112171, 175275, 252405?\nAnswer: 343561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*j - 18620 + 18600, 0*v + 11*j + 118 = -5*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-200)*15\/(-12)*(-16)\/68?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2325310 (base 6) to base 11\nAnswer: 82529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -a + 3*a - 90556, 4*a = 5*r - 226417. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1 + sqrt(2))**2*4 + (-3 + (1 + sqrt(2))**2)*-3.\nAnswer: -6*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503, 1066, 1685, 2390, 3211, 4178?\nAnswer: 5321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*2*(-4)\/8 + (-297 - -290).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 2. Let n be x(2). Suppose 1 = -4*p + t, 5*p - 2 = 4*t - 6. Suppose -5*j + n*j - 29 = p. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2733779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -693, -1390, -2087, -2784?\nAnswer: -3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93386, 93383, 93380, 93377, 93374?\nAnswer: 93371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:31 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125478*c**3 + 4*c**2*j - 391*j - 6302 wrt c.\nAnswer: -376434*c**2 + 8*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.012 + 21.012. Let x = -99 + 44. Let q = 51 + x. What is the second smallest value in g, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -3)\/(-3) + 1. What is the greatest common factor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 1)*(4 - 2 - 1) - 5 + 2 + 0)*(-26 + 11 - 17)*(1 - 1 - 1)*(3 + 2 + 0)*(-2*w - 1 + 1) to u + z*w and give z.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -16*m**3 - 7*m**2 + 6*m**3 - 2 + 11*m**3 + 4. Let j(r) = -r + 3. Let o be j(4). Let a be (-1)\/((-8)\/7 - o). Give v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r - 3. List the prime factors of (11 + -3 + 2)\/r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(16\/4)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*a - 3 - 0, 5*a = 5*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158809*k**3 - 250*k**2 - 201*k - 2 wrt k?\nAnswer: -952854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1957 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + 14)\/(-784))\/((-57)\/(-21) - 3)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/12 + 3*d. Let t(f) = -26*f**2. What is t(u(x))?\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(112) + (sqrt(112) - (3*sqrt(112)*5 + sqrt(112))) - sqrt(112))*-4*1)**2.\nAnswer: 1612800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l - 34 + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41220*u + 41025*u - 3824 = 2221 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 1756, 3824, 6720, 10444, 14996, 20376?\nAnswer: 26584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 2610?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + s + (-2*s + 3*s - 3*s)*(-3 - 1 + 2) + (587 - 340 + 159)*(0*s - s - s).\nAnswer: -807*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - 2*m**4 + 3*m**4 + (-5*m + m + m)*(-m + m - 2*m**3) + 0 + 0 - m**4 - 5 + 87*m**4 + 5 + 28*m**4.\nAnswer: 122*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10797055 <= -10797054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 20*p + 22. Let o(j) = j**2 + 7*j + 8. Let v(y) = -4*a(y) + 11*o(y). Factor v(l).\nAnswer: -l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3791113 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24911179 to the power of 1\/2, to the nearest integer?\nAnswer: 4991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 62\/3. Let h = 77 - 71. Factor c*x**2 + 4*x + h.\nAnswer: 2*(x + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**25\/(c**(-29)\/c*c**(2\/31)) assuming c is positive.\nAnswer: c**(928\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 38 = 4*h, -5*h - 236 = 3*p - 170 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 111*h**2 + 3017*h - 218. Calculate f(-63).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 1292 - 2*x + 1300 - x + 2*x.\nAnswer: -6*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(3\/7))\/j)**31\/(j**(1\/3)*j\/j**(3\/10)))**(-43) assuming j is positive.\nAnswer: j**(-110639\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 27*v**2 - 65*v + 9. Let n(g) = 49*g**2 - 132*g + 16. Give 4*n(r) - 7*x(r).\nAnswer: 7*r**2 - 73*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -347 (b) -0.05 (c) 2\/13 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 413 - 412.962. What is the closest to 1\/3 in 0.1, g, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 48*x - 244. Is 12 a factor of m(59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/7 - 388*z**2 + 915118*z\/7 - 912404\/7 = 0 for z.\nAnswer: 1, 614, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 greater than or equal to -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 7:11 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 48. Let m(a) = -21*a**3 + a**2 - a - 2. Calculate the remainder when m(q) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 111. Find the common denominator of v and -34\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*a - 805, -42*u + 45*u + 5*a = 770. Calculate the remainder when u is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 978. Let b(d) = -834*d. What is a(b(g))?\nAnswer: 834*g - 978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, p: 5}. What is prob of sequence yy?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 4 = -5*w. Suppose -w*y + l = 4*l - 291, -3*y + l = -169. Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**10*a**(-6)*(a**(1\/5))**(-2\/147) assuming a is positive.\nAnswer: a**(-11027\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.466 - -5.5. Let z = o + -0.334. Let k = 2 + -1.9. Which is the nearest to k? (a) z (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8232 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 194000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 7:02 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1245 and 389113130?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a factor of 8081264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 195, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*x**3 + 118*x**3 - 22*x**3 + 29*x**3.\nAnswer: 203*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9772, -19625, -29572, -39601, -49700?\n\"Answer: 2*u**3 - 59*u**2 - 9690*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -565, -566, -567, -568?\n\"Answer: -o - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/150*35*10\/(-16)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*168\/(-2)*6\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/3 (b) 12 (c) 0.3 (d) 5191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 8*q**2 + 10*q - 14. Suppose h + 3 = 5. Calculate the remainder when z(7) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326*j**2 - 39 wrt j?\nAnswer: -652*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6423, 25709, 57855, 102867, 160751, 231513, 315159?\n\"Answer: h**3 + 6424*h**2 + 7*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1 + 8 - o - 8 - 9. Calculate h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1088) - (1 + sqrt(1088))) + -1)*-5 + (-5*(sqrt(1088) + 1*sqrt(1088)) - ((sqrt(1088) + 0 + sqrt(1088))*5 + sqrt(1088))) + 4)**2.\nAnswer: -14112*sqrt(17) + 1440012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.13 - -0.13. Let m = -5.00001 - v. Round m to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p. Suppose 2*b + 3 = -5*u - 0, 2*b - 3 = -3*u. Let w(g) = -b*g + 4*g - 3*g. Calculate w(l(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 0.14. Let i = 0.8 - v. Which is the closest to i? (a) -0.1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(-27) - (-5)\/(-2). Which is the third biggest value? (a) 0.3 (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29708449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/280379?\nAnswer: 1\/280379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g**3 + 132354*g**2 - 52944*g = 0 for g.\nAnswer: -8824, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/3)*f)\/f*f*f**(-5\/2)*f**(-2\/17)*f**5 assuming f is positive.\nAnswer: f**(311\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1) + 3 - -1. Suppose 4*x + 47 = 5*z, 4*x - t*z = -3*z - 35. Let r = 11 + x. Solve -2*p - 2*u = -r*p + 5, -3*p + 5*u = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 232\/(-3248) + (4\/7 - 1). Which is bigger: 1.17 or m?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963507548.\nAnswer: 2, 1453, 165779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/854 and 131\/342576?\nAnswer: 2398032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -503 and 149 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**2. Let p(j) = 882*j**2. What is p(m(w))?\nAnswer: 106722*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 53, 20637 in decreasing order.\nAnswer: 20637, 53, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l\/l**(2\/5)))\/l)**(-44)*(l\/(l**(-2\/9)*l))\/(l\/((l**4\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-692\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 191, 369, 543, 713, 879?\n\"Answer: -2*u**2 + 184*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135647.\nAnswer: 135647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 3. Let a(j) = 8*j + 3. Let d(b) = 2*b. Let i(c) = 95*c + 20. Let o(v) = 20*d(v) - i(v). What is q*a(g) - 3*o(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1719388 and -127\/28604364.\nAnswer: 314648004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4135 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1370 + -4?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409 + -409.032. What is the second biggest value in k, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 1, g: 5, a: 3, o: 1, f: 4}. Give prob of picking 1 j, 1 o, and 1 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18 - -1 - (-277 + 303)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1172*b**2 + 2*b - 4. Let j(h) = -391*h**2 + h - 1. Let a(z) = 17*j(z) - 6*s(z). Does 43 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -97*r + 835. Calculate the remainder when x(8) is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5625*j + 33803. What is p(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/61*(-2)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/(b*b**7)*(b**1*b)**43 assuming b is positive.\nAnswer: b**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221242 (base 5) to base 8.\nAnswer: 17021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1829796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12777*m + 1197279 = 494544 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -25*r + 21*r - 56, j + 44 = -3*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 13*d + 19. Let x be h(3). Suppose 2*s - a - 33 = -7, -s - a + x = 0. Solve -3*q + s = g, 2*g - 4 = q + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 75. Let a = l + 102.0000028. Round a to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose 5*w - 2*q = 6, 0 = -5*w + 2*q - q + 8. Suppose -z = w*z - n. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 4:17 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000223710271 rounded to six decimal places?\nAnswer: -0.000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4082*t - 3933. What is b(-1)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4912?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 79546005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (2 - (-1 - 0)). Suppose 0 = -x*v + 23 + 151. Let k = -32 + v. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1304 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/9, -4\/4753, 2, 0 in descending order.\nAnswer: 2, 2\/3, 0, -4\/4753, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*z = 5*g - 62*z + 307, 0 = 5*g - 4*g + 156*z - 11385 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56482 or -6834210\/121?\nAnswer: -56482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.99945 + -13. What is r rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 5\/7 (b) 5 (c) -0.4 (d) -0.3 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*k - 19*k + 44*k - 21*k)*(12*k**2 - 61*k + 61*k + k**3) to the form v + r*k**3 + m*k**4 + z*k**2 + n*k and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -6. Let p = k - 8. Solve -s = -p*j + 3, 0*j + s = 4*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.01385 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(125) + 1))**2.\nAnswer: 40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - 3*v - 26*v**3 + 20*v**3 - v**2 + 9*v**2 + 12*v to y*v**2 + a*v + l*v**3 + u and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 9*p**2 + 2*p - 8. Let j be n(-4). Suppose j = -4*u - 2*u + 4680. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*v - 110, -2*n + 201*v = 198*v - 46. Solve 5*r - 35 = -5*b, -3*r - 1 = 5*b - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24081 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7318416.\nAnswer: 2927366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -10, 0.5, -4\/5.\nAnswer: -10, -3, -4\/5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/4 + l**3\/6 + l**2 - l. Let b be p(-2). Let x = b - 7. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 5)*(-2*x - 3*x**2 + 2*x) + (-3 - 2 + 1)*(x + 0*x - 4*x)*(9*x + 11*x - 2*x) to the form a*x + p + g*x**2 and give g.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 5*4\/(-18). Let v = -11\/9 + 14\/9. Let f be 3\/(-5) + 33\/55. Which is the nearest to v? (a) k (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/189 + 5\/189. Let t = 5\/28 - u. Sort -2, t, -1\/5 in ascending order.\nAnswer: -2, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12557, -12520, -12479, -12434, -12385, -12332?\n\"Answer: 2*s**2 + 31*s - 12590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.6, 6, 42 in decreasing order.\nAnswer: 42, 17.6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 16 - 79. Let x = -37 + u. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + (-2280)\/32 + 13\/(-8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 6:28 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -838, -1259, -1680, -2101, -2522?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekffkdkk. Give prob of sequence fe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:17 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0 + 0*l**3 + 0*l - 4*l**2 + 0*l**4 - 1\/30*l**5. Let s(t) = t + 3*t - 4*t - 6*t**2. Determine i(s(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 1. Let x(u) = -2*u + 5. Let r(q) = -6*v(q) + x(q). Let j be 3 + (6 - (-23)\/(207\/(-108))). Let a(l) = -l. Determine j*a(d) - r(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {a: 5, n: 7, u: 3, l: 1, z: 3}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 46. Let h be v(-12). Find w such that 0*w**3 - 17*w**3 - 17*w**4 - 7*w**2 + 3*w**h - 5*w**5 + w**3 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z - 2. Let t(n) = 3*n**2 + 6*n - 55. Let j be t(9). Let x(i) = -781*i + 121. Give j*k(g) + 4*x(g).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 18564, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 97*k + 101*k = -103, -w - 372 = 3*w + 16*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, -20, -10, -0.86, -3 in decreasing order.\nAnswer: 3, -2\/9, -0.86, -3, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 - 6*p + 30. What are the prime factors of b(-19)?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546903 divided by 182301?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 + 0.21. Let h be (-2)\/(-3) - 8\/30. Is h bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1. Let x be t(1). Suppose -2*d + 102 + 229 = -3*u, -4*d + 4*u + 656 = x. Is d + 0 + (2 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -410 + 404. Let d be (27\/3)\/1 - v. Calculate the highest common divisor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1 - 3 + 1 - 2 - d. Let n be u(-8). Let p be 574\/(-205) + (-1)\/5. Put 0, n, p in descending order.\nAnswer: n, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14266*d**3 - 7154*d**3 - 7026*d**3.\nAnswer: 86*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -0.4, 0.2972 in descending order.\nAnswer: 1, 0.2972, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 115) + (273 + 38 - 313)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10029312655 plus -3.3?\nAnswer: 10029312651.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1134889, 3, 0 in decreasing order.\nAnswer: 1134889, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26784 and 18969768.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -57 * -12\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 25*m**2 - 16*m - 66. Is a(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*t + 0 = -21, -4*t + 27 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1.1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-24))\/(((-30)\/(-9))\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(54)\/(sqrt(30)\/sqrt(5))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467 (base 14) to base 11.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.023 - 0.123. What is the closest to 0.13 in 0, 1, g, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.7 - -22.7. What is the closest to 0.06 in -3\/4, 5, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348144 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-3)\/5)\/3)\/1. Let i(f) = -4*f + 44. Let c be i(10). What is the closest to 0 in m, -1\/9, c?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 - 85*k**3 + 315*k**2 + 405*k = 0 for k.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/6 - 731*s\/3 + 534361\/6 = 0. Calculate s.\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a + 6. Let i(z) = -z - 1. Let u = 19218 + -19213. Give u*i(g) + y(g).\nAnswer: -18*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -20472?\nAnswer: -23\/20472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291137 is divided by 122.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {d: 1, j: 5, x: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9817 and 6.1.\nAnswer: -5.98837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 8*l)*(4*l**2 + 12*l**4 - 9*l**4 - 3*l**2).\nAnswer: -24*l**5 - 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3*11\/(-22))\/(95\/228).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68526.99 days to nanoseconds.\nAnswer: 5920731936000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644909 to the power of 1\/2, to the nearest integer?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12*(-13)\/273)\/((-4)\/2). Let g be (-2)\/(-9) - 8\/(-45). Let m = -1\/82 + -157\/574. Which is the smallest value? (a) j (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-165)\/(-35) - 4\/(-14). Let o be ((-68)\/(-20))\/((-2)\/(-170)). Let q = o - 286. Solve -4*p - d*w = p, -q*p = 5*w - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -19*x + 174. Let z be h(6). Let i(y) = y**2 + y + 1. Let u be i(0). Let r(p) = 12*p. Let n be r(u). What is the greatest common factor of z and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15371452, -30742902, -46114352, -61485802, -76857252, -92228702?\nAnswer: -107600152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 62 greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284475 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(((sqrt(98) + sqrt(98) + (sqrt(98)*-1 - sqrt(98)) + -2)*1)**2 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 163532*1582\nAnswer: 258707624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5929)\/(-322) - 19 - ((-16)\/136 - 130\/340)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**2 - 1 + 44*s**2 + 34*s**2 to n*s**2 + y + i*s and give n.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2 - 31066*j + 807040 = 0.\nAnswer: 26, 31040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 2)*(-4 + 1 + 1)*(44*d + 39 - 39) to the form y + b*d and give b.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57470220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.732322l to millilitres.\nAnswer: 2732.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r - 12. Determine w(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 3 + 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2564 - -115426\/45. What is the common denominator of f and (-7)\/21 + 101\/(-165)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let v = -8132 - -12401. Suppose 11772 = 4*o - 4*l, -5*o + 10438 + v = -s*l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118420 - -167135. What is the ten thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -885?\nAnswer: -16\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 + -49. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 0 + 230\/(-46))\/(-6). Solve v*r + 2*y = -5*r - 30, 5*r - y = -15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94 and 7?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, d: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((464\/(-144))\/29)\/(2\/(-12)). Factor 0 - s*h - 1\/3*h**3 + h**2.\nAnswer: -h*(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**3 + 14*u**3 + 11*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 3. Let o(r) = 3*r - 7. Suppose -2*m = 10, -26*d = -23*d - 5*m - 10. Calculate d*v(c) + 2*o(c).\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/2*48\/10. Let k be -2 + f\/57 - -1. Let x = 33\/304 - k. Calculate the common denominator of 91\/20 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 641*b**3\/6 - 567*b**2\/2 + 844*b. Find the first derivative of s(o) wrt o.\nAnswer: 641","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/45 + (-6)\/27*-2071. What is the highest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 550 + -523. What is the remainder when 84 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38129 and -0.2?\nAnswer: 7625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**3 + 6 + 6*p**3 - 3*p**2 - p**2 - 5 + 0*p**2. Let f = 6 - 2. Let b(g) = -2*g**3 - 5*g**2 + 1. Determine f*b(d) - 5*w(d).\nAnswer: 2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-15) - 3\/15. Suppose -d = 1 - w. Let v = -1.5 - -1. Which is the closest to d? (a) 1\/2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163445443 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/49 - 15\/(-7). Find the third derivative of 12*p**6 - 4*p**6 - 5*p**g + p**2 - 3*p**2 wrt p.\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 517, 1048, 1591, 2146, 2713?\n\"Answer: 6*q**2 + 513*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 10, k: 4}. What is prob of picking 2 b?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71126*a**2 + 142241*a**2 - 71112*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32.3318133696 - 0.1035\nAnswer: -32.4353133696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -19.7. Let q = g + -0.5. What is q rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(1\/2)*y**(-1)\/(y*y**(-5)) assuming y is positive.\nAnswer: y**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**6\/180 - l**5\/48 - l**4\/48 - 11*l**3\/3 + 3. Let r(f) be the third derivative of v(f). Find g, given that r(g) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 22\/157, -2\/13?\nAnswer: 22\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -123, -177, -247, -339?\n\"Answer: -h**3 + h**2 - 40*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 a when three letters picked without replacement from ajkkkdooakja?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786821 is divided by 67.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + 2 + 2 + 11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o - 5. Suppose 0 = -12*b + 84 - 24. Let y(u) = b - u + 5*u - 3 + 2*u. Give -4*v(l) - 9*y(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -15*p**2 + 15*p. Let r(m) = -2*m**2 - 2*m. Let z(f) = 24*r(f) - 3*v(f). Factor z(w).\nAnswer: -3*w*(w + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39178?\nAnswer: 2, 19, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -17, -11, -3?\n\"Answer: d**2 + d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2091 and 2.\nAnswer: 2093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 63315.035 to the nearest 10.\nAnswer: 63320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 = -3*l, -2*f - 5 = 5*l - 3. Let u(y) = y**3 + 6*y**2 - 4*y + 7. What is the remainder when u(f) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 390.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/sqrt(1000))\/(sqrt(27)\/sqrt(900)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/143 - -437\/572. Suppose -2 = -w - 4*l, 2 = w - 25*l + 24*l. Suppose 3\/4*s**4 - k*s**w + 0*s**3 + 0 + 0*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.0897, 64, -0.19 in ascending order.\nAnswer: -0.19, 1.0897, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318 divided by 6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1871311 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/22800 and -127\/2160.\nAnswer: 205200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.43 - -19.43. Which is the closest to z? (a) -32 (b) -2\/3 (c) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 4?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8695 (base 16) to base 11.\nAnswer: 23981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2. Let c be 4\/5*5\/2. Let q(t) = -t**c + 3*t**2 - t**2. Determine b(q(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 3*j - 6. Let g be s(5). Suppose -30 = 2*a - g*a. Calculate the highest common factor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 89*w + 16*w = 105, -1 = p - 5*w + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24280271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67\/5 of a meter?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 30*x - 28. Let w be v(-13). What is the greatest common factor of w and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -538 - -540. Solve 0 - 2\/3*y**b - 2\/3*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.083 + -18.009. Let d = 34.3 - -3.7. Let m = u + d. What is m rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.17 + -1.67. Let i = -6 - -6.6. Let j = i - v. Which is the nearest to 3? (a) -1 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/9*1*-3. Let n = -2 - -5. Let c = n + z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + 6*c + 3. Let s(n) = 7*n**2 + 5*n + 2. Let d(m) = 6*g(m) - 7*s(m). Give d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w*z**2 + 71350*w*z - 21291*z**2 wrt z.\nAnswer: -12*w - 42582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2553 = -2*t + 235. Let d(q) = q**2 - 2*q + 91. Let h be d(-12). Let v = t + h. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38056476 and 20?\nAnswer: 190282380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -418\/45 + -2\/45. Which is bigger: u or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:19 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20847337895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -71*y**2. Let q(p) = -80*p**2. Calculate q(c(o)).\nAnswer: -403280*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 4*p + 36*p**2 + 117*p**2 + p.\nAnswer: 154*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2540*l**4*t - 143*l**4 + 26*t - 24830 wrt l?\nAnswer: 10160*l**3*t - 572*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 228 (base 13) to base 8\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 - 12*w**3 + 19*w + 44*w**2 - 13*w**3.\nAnswer: 4*w**3 + 44*w**2 + 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251661873.\nAnswer: 97, 1427, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 449*m - 6719. What is o(15)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose 6*f = -x*m + 3*f - 74, 0 = 4*m - 2*f + 64. Let d = -5 - m. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 22*b**2 + 45*b + 7. Let d be i(7). Suppose t + 0*v - 5*v = 488, -3*t + d = v. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 88*a - 7782. Give h(83).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744871 divided by 136.\nAnswer: -744871\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = p - 4492 + 989, 2*w + 3503 = p. What is the greatest common divisor of 113 and p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -5. Let h be (1\/7)\/(43\/(-86)). Which is the closest to r? (a) -1\/6 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3237*u - 1. Let t(q) = 3239*q. Determine 2*o(l) + 3*t(l).\nAnswer: 3243*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 10) to base 12.\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 607\/137234 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9276*b + 194751. Give v(-21).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1181272*p**2 - 845936*p + 24?\nAnswer: 2362544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*c - t, -155 = -4*c - 4*t - 47. Solve 2*s = -c*f + 23*f, -2*s = 2*f - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1133 by 5.\nAnswer: 1133\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*c + 210*c - 758 = 557*c - 1826 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 896 in decreasing order.\nAnswer: 896, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -19 + 2*q - 1\/3*q**3 + q**2 + 7\/12*q**4 + 1\/20*q**5. What is r(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 111202405, 111202406, 111202407?\n\"Answer: l + 111202404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*k + 4*k. Suppose 2*f + k = n + 70, 0 = 2*n + 4*f + 114. Is 7 a factor of ((-68)\/n)\/((-4)\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivbi when four letters picked without replacement from {x: 1, z: 1, b: 1, i: 2, o: 2, v: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21161 - -21168. Suppose -6*u = -u. Suppose u = -q*k + 8671 + 3180. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*i + 239*i + 232*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6331 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 64 = -2*j, -4*l = -j - 4*j - 132. Let x = 11 - j. Suppose 3*o + 0*o = x. Solve 0 = m + 5*r - o, 5*m + 4*r = 24 - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 41. Suppose 3*p + p + d - 276 = n, 2*p = 5*d + 116. Suppose 2*b + 4*h + p = 0, 1 = 2*h - 3. Are b and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1 + 1 - 2*b - 1. Let p = -4 - -1. List the prime factors of y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/205?\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**26)**47 assuming v is positive.\nAnswer: v**1222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 204*k**2 + 417*k - 246. What is y(-70)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 4890543*c**2\/4.\nAnswer: -c**2*(c + 4890543)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from houuuhouhuhuz. What is prob of sequence oh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = n - 19, -n + i = -3. Suppose n*d - 22*d**2 + 11*d - 27 + 19*d**2 = 0. What is d?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -33, 1.1, -313 in descending order.\nAnswer: 1.1, 0, -33, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*v**2 - 191*v**2 - 200*v**2 - 180*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.175? (a) -3 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -4.08. Let v = 4.5 + w. Which is the smallest value? (a) -2 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -11 (b) 3 (c) -1\/4 (d) 5 (e) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 - 16)*(c - 4*c + 0*c).\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o + 2. Let n = o + 2. Suppose -5*p - 3*t + 11 = n, -5*t + 8 + 5 = 3*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwnwnbbwwnbbbwbnwb. Give prob of picking 1 b and 1 n.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (1 - 3) - -1. Let f be (4 - 4)\/(1*-3). Suppose 4*h - 5*u + 14 = 0, 3*h = -2*u + u - 1. Put f, z, h in decreasing order.\nAnswer: z, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + 1.77. Let m = z + -1.27. Let w = m + 1.40007. Round w to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*y - 173*y - 177*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 283004257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 134*t - 155. Let a(b) = 24*b - 2. What is 3*a(c) - m(c)?\nAnswer: -62*c + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/61 (b) 2 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*u = -0*u - 55, -3*u - 9 = 0. Suppose q = 2*w - 0. Suppose 49 + 16 = w*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/2 - 55555*n**3\/2 - 771617283*n**2\/2 - 771561729*n\/2 = 0. Calculate n.\nAnswer: -27777, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*t**2 + 5 + 208*t**2 - 91*t**2)*(-4 - 2 + 7) + 5*t**2 - 4*t**2 - 4*t**2.\nAnswer: 19*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2819566532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4375594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -3 + sqrt(19) + -4)**2*-1 - (4 + sqrt(1900) + -2).\nAnswer: -127 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 1110010100000111101010100?\nAnswer: 1110010100000111101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(684)*-5 - sqrt(684)) + (sqrt(684) - 5*(sqrt(684) + -4)))**2.\nAnswer: -3600*sqrt(19) + 154303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/168596?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1403480, -2806969, -4210462, -5613959, -7017460, -8420965, -9824474?\n\"Answer: -2*m**2 - 1403483*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 66940 and 66940 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -13. Let h = 24.1 + -24. Is h <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.054 + -0.256. Let d = -0.18 - m. Let o = 2.87 + d. Which is the closest to -1? (a) o (b) -0.3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44827, 89693, 134549, 179389, 224207, 268997?\nAnswer: 313753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 3, u: 2, y: 1, j: 3, d: 1}. What is prob of picking 2 j and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60967769 is divided by 3766.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -60 + 3 + -1 - (10 - -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264114 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and -32.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 253 = 5*k, 0 = -2*k - 3*y + 6*y - 99. Let f = k - -50. Sort f, 1, -5 in descending order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s**(1\/4)\/s*s)\/s*s)\/s))**(-7)\/((s**(-2\/11)*s)\/s**3) assuming s is positive.\nAnswer: s**(-443\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-528) - 8198\/858. Which is bigger: i or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*o + 22 = 0, 2*k - 8 = 3*k + 5*o. Let y = -8 + k. Which is the third smallest value? (a) -1\/7 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4875 and 2886?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -421594 or -2849?\nAnswer: -2849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 - 29*c + 29. Calculate z(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113.1 - -113. What is the smallest value in -3\/2, l, 2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 17. Let b = -31 - -15. Let f be (4*b)\/r - -1. Solve -5*i = 2*g + f, -2 = 5*g + 3*i + 33 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 17169*x + 248. Is f(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 9 + 7. Suppose -6 = -5*d + z*f, -5*d + 63*f = 58*f - 5. Solve 4*t - 4*s = -40, -2*t + 3*s - 35 = d*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 + 3*x + 3. Let v be h(-2). Let t be 53\/3*(8 + -4 - v). Let p = t + 237. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5360.5 and 90.3.\nAnswer: 484053.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41, -26, 23.54?\nAnswer: 23.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - 5*g**2 + 1712 + g**3 - 1714 - 2*g + 4*g**2 in the form m*g**3 + o*g**2 + l + b*g + i*g**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710*u + 1715*u - 30 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 < -107.537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 5*v**2 - 5*v + 4. Suppose -5*o + y = -100, 80 = 4*o - 3*y + 8*y. Calculate the remainder when o is divided by r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*m**5 + 149*m**5 + 20*m**5 - 11*m**5 + (m**3 - 4*m**2 + 4*m**2)*(m**2 + 2*m**2 - 5*m**2) - 47*m**4 + 10*m**5 + 47*m**4.\nAnswer: 222*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-75900)\/(-2760) - (4 - 2 - -8)\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256 - -250) + -4 + -6 + -1 + -6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -520305 (base 9) in base 12?\nAnswer: -12a71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m = 93*m - 3*x + 2, -3*x = -4*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**3\/6 + 27*h**2\/2 + h. What are the prime factors of x(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 10*q + 2*f - 49, 4*f = -4*q + 44. Suppose -3*j = -6 - q. Suppose -3*r - 2*r + 55 = 0. What is the lowest common multiple of j and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108250 and 985.\nAnswer: 21325250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 539*s**2 + 147*s + 49. Let r(f) = -54*f**2 - 15*f - 5. Let x(o) = 49*r(o) + 5*v(o). Let h(p) = -5*p. Calculate x(h(g)).\nAnswer: 1225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*-1*sqrt(15))\/(sqrt(18)\/(sqrt(6)*1)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*g + 55*g - 17095 = -25007 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 - (-45 + -8 + 55)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 20, 3, -3 in ascending order.\nAnswer: -3, -2, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - 49.99. Let w = -46.9 - u. Let g = w + -3. Which is the closest to g? (a) -2\/11 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691189629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 1\/5 (c) -617\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 3*i**2 + 9*i + 33. Let g be c(-3). Let j be 9 + 12 - -6*4\/g. Which is bigger: j or 71\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10842.28 to the nearest ten.\nAnswer: 10840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 883837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 0, -61, -8\/7, 4\/9 in ascending order.\nAnswer: -61, -5, -8\/7, -0.3, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1 (b) 19\/9 (c) 151 (d) 0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*i - 107*i. Let s be (-589 + i)\/(-1) + -1. What is the highest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, o: 2}. Give prob of picking 1 o and 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3)\/(-24))*(-7)\/14. What is the third derivative of -14*t**4 - 29*t**2 - 13*t**4 - 3*t**i + 31*t**2 wrt t?\nAnswer: -720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:43 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8097 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 18 = 2*k, -4*i + 4*k = k - 43. Let r(p) = p**3 - 7*p**2 - p + 10. Let l be r(i). Differentiate -2 + 5*h**l + 4*h**3 - 6*h**3 + h**3 wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:08 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021341259 to six decimal places.\nAnswer: 0.021341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-9 - -35 - 81).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190072320?\nAnswer: 2, 3, 5, 24749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4024, 3830, 3636, 3442, 3248?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*p**5\/8 + 357*p**4\/8 - 30*p**3 + 9*p**2\/2 = 0.\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 40593880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*i + 24 + 16, -3*i + c + 24 = 0. Let m be 6\/9*(-12)\/i. Does 9 divide m*(0 - -1) - -19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) + -2) + (1*sqrt(24))\/sqrt(8))**2*-3.\nAnswer: -273 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 37*t - 62. Let b be x(5). Let q(m) = 121*m - 212*m + b*m. Let d(w) = 7*w**2. Calculate d(q(r)).\nAnswer: 7168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1741 + -27847\/16. Let u = h + -97\/144. Calculate the common denominator of u and 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 167 = p - 191. Which is greater: p or 95\/28?\nAnswer: 95\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 79*b - 179 = -77*b, -4*f + b = -142. Solve -60 - 45 = f*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1148 and -91\/20?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, -1\/2, -1, -44\/79?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157829762177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-112)*4\/(-9)*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - (-48685)\/728)*-584\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7863707317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 60 = x. Solve 2*w = -w + x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/575*15\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*z + 3*u, -5*u - 21 = 169*z - 172*z. Suppose -29 = -3*h + f + 4*f, f = -2*h + 15. Solve 2*p + h = -4*j, z = -j + 4*p - 2*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.45 + 233.55. Let r = k + -236.9. What is the closest to 0 in 5\/8, r, -1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 355, -4, 2 in decreasing order.\nAnswer: 355, 2, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 87?\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(605) + -1 - sqrt(605))*6)**2 - sqrt(605)) + sqrt(605) + sqrt(605) + -4)*-1 - (4 + (-3 + (sqrt(605) - 1*sqrt(605)) + 1)**2)) + -1.\nAnswer: -41 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuhrkwrhghkgggrwgrg. What is prob of sequence hk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let a = 3313\/13 + -255. What is the nearest to -1 in p, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13283, 26562, 39841?\n\"Answer: 13279*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 6 + (-1 - 0) + 14 - -9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - -2.95. What is the nearest to -2\/3 in 0.1, -5, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418424752 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 127*l - 549. Let p(t) = 275*t - 1097. Give 13*f(j) - 6*p(j).\nAnswer: j - 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*o + 149 = 239 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00428168 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3.4 (c) 1.7 (d) -0.4 (e) 0 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -701 - -698. Let z be 1 + (3\/(-2))\/1. What is the nearest to 0.4 in z, -3\/4, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 819852562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 7) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8737010166 to the power of 1\/2, to the nearest integer?\nAnswer: 93472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 65025220?\nAnswer: 65025228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -33*o - 12. Let v(i) = 33*i + 10. Give -5*v(p) - 4*z(p).\nAnswer: -33*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = 5*o - 2*x, -x = -4*o - 3. Let g be (6\/4)\/(o\/(-2)). Suppose -g*h + 3*n + 234 = 0, 2*h - 3*n - n - 154 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 944608301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(3\/18). Let c be 112\/18 + (-2)\/r. Is (3\/(-2))\/(c\/(-160)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x**3 + x**2 - 6*x + 6. Give t(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 198 = y, 2*y + 5*g + 318 = 8*g. Is y less than -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-8)\/(-132)). Let i = n - 6. Suppose -5*a + 11 = -v - 6, 23 = v + i*a. Solve -v*o + o = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**2 - 77*i**3 + 0 + 3 + 78*i**3 - 8*i. Let c(h) = -h**2 - 9*h - 9. Let o be c(-6). Let m be l(o). Solve 0*a - m = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/7 + 20*s**4\/7 + 68*s**3\/7 + 104*s**2\/7 + 74*s\/7 + 20\/7 = 0?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7))**(2\/21)*p**10\/(p**(-1)\/p) assuming p is positive.\nAnswer: p**(590\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 + 194*q**2\/3 - 16*q - 776\/3 = 0. What is q?\nAnswer: -97\/6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 736, 35.\nAnswer: -161, 35, 736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 796829713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -1.4. Let f = i - -1.6. Let a = 0.89915 - f. Round a to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1350 and 2295.\nAnswer: 22950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpl when three letters picked without replacement from xypxxxxxpjyxxlxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39 + 5)\/(2\/1). Suppose 0 = -7*p + 9*p - o. Calculate the greatest common divisor of 99 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 16*u**2 + 3*u - 9. Let y be h(-7). Let l = 2177 - y. What is the units digit of (l\/84)\/(3\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 7*z**2 - 5*z - 42. Let q be s(11). Suppose 6*x = -393 + q. Let y(r) = -14*r**2 - 1. Calculate y(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 745\/13 + -202\/65. Is 54 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17 - (0 - -1)\/1. Let j = -13 - h. Suppose -j*p + 1647228 = -1402772. Round p to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 356897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13 - 4 - a**4 + 18 + 8 + a wrt a?\nAnswer: -4*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 - 90 + 90)*(-12*z + 15*z - 10*z) + (-2*z**4 + 0*z**4 + 0*z**4)*(-5 + 0 + 3) in the form g*z**2 + n*z**3 + f + h*z + l*z**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 20. Suppose 2*k = 5*x - 0*x + s, 3*k - 5*x = 0. Put k, -3, 3 in descending order.\nAnswer: 3, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 3}. Give prob of picking 1 m and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/4851 (b) -0.3 (c) 24 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**4 - 20*c**4 - 23*c**3 - 33*c**2 - 14*c + 2*c**4 + c**5.\nAnswer: c*(c - 7)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-10825 + 2)) + (-3 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.3 (c) -2 (d) -3233 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1195 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 0, 0, 10, 36?\n\"Answer: y**3 - 4*y**2 + y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19067, 19303, 19539, 19775?\n\"Answer: 236*l + 18831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -608*n - 16052 + 62868 = 0 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**3 - 5*d**3 + 86*d + 4*d**2 - 84*d as x*d + v*d**3 + y*d**2 + q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2558391712 to the nearest integer?\nAnswer: 50581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 divided by -126?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiee when four letters picked without replacement from {b: 2, h: 3, g: 1, i: 8, e: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4 = -4*p + 2*m, 0 = 3*p - 5*m - 19. Suppose -p*c - 28 = -193. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001743575 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635813 is divided by 485?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 2, g: 2, l: 2, c: 1}. What is prob of picking 1 l and 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 96 = -24*r. Suppose -r*o - 9 = -35*o. Solve 0 = -2*y + 1 + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3760 and 255210.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1143 and 87\/12242800.\nAnswer: 110185200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 2750?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188*o - 106*o**2 + 188*o)*(-939 - 507 - 266 - 480 - 969 - 527) to x*o**2 + m*o + k and give x.\nAnswer: 390928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1368*s**2. Let u(i) = -18504*i. Calculate x(u(c)).\nAnswer: 468400485888*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyfy when four letters picked without replacement from yyyfyfffffyyyfyfffy.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(1120\/(-120)))\/(1\/14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -847 + 1439. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -j. Let o(z) = z + 6. Let a be o(-6). Suppose a = 4*g + 3*d - 53, -2*d + 34 = 2*g + 2*d. What is the smallest common multiple of g and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 8, -2*k = 3*t + 67. Let x = -47 - -9. Let v = t - x. Calculate the remainder when 37 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 - 67*w + 6 - 4900*w + 5)*(-2*w + 2*w - 2*w**2).\nAnswer: 9934*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -90\/2459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-45)*-3 - 85254\/(-10). Let j = -8530 + a. Let y = j - -143\/5. Is 23 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.1205535 and 0.07.\nAnswer: 0.708438745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8840.5 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 162981755657 and 5.\nAnswer: 162981755662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - -157.4. Let x = 158.00001048 - a. What is x rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + 12.41. Let f = -12.9 + j. Let k(s) = -2*s - 1. Let u be k(-1). Which is the nearest to u? (a) f (b) 1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 63, -0.3, 0.1445?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r + 82*r + 47*r = -0*r - 16376 for r.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*y = 71 - 47, 0 = -5*y + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -7*f**4\/4 + 2*f**3\/3 - f**2\/2 + f + 2. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*1275*(-1232)\/(-15708)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979330 to the power of 1\/8, 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 28006129.\nAnswer: 28006129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**4\/6 + 3*y + 7. Let f(u) = 49*u**2 + 2. Calculate f(l(o)).\nAnswer: 196*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 0.108069?\nAnswer: -0.02269449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 - -505. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1144.523 - 1145. Let q = v - -0.102. Round q to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.286, -0.2 in ascending order.\nAnswer: -0.286, -0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and 2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11226, 11225, 11224, 11223?\nAnswer: 11222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1652)\/(-2448)*6\/21. Let o be (3 - 1) + 207\/(-102). Let a = m - o. Sort -1\/3, -1\/4, a in descending order.\nAnswer: a, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72808 by -9101.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.6 times 1129207?\nAnswer: 27778492.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let n(j) = j**2 - 3*j. Determine -5*g(l) - 2*n(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-3)*(-1)\/2. What are the prime factors of (2\/b + 8)*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + 9*x - 1. What is z(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4 + 2. Suppose -z*f - 16 = -5*m, m = 3*m - 8. Suppose -42 = -w - f*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841611917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azokuhh. Give prob of picking 1 a, 1 z, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 3596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5316028 minutes in days?\nAnswer: 0.0017580575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/12987590 and -137\/1166550?\nAnswer: 194813850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60633 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2757 + 2799. Solve -31*j + q*j = -44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s + 140 = 0. Let h be 189\/s - 4\/(-10). Suppose 0 = -a - 4. Sort a, -1, h in increasing order.\nAnswer: h, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 2 = 8*a. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-4))**(5\/3)*f\/(f**(-2)*f)*f**(-6)*f*f*((f**(-1)\/f)\/f)**29 assuming f is positive.\nAnswer: f**(-287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n + 644 = 31*n - 2*z, n + 3*z = 624. Calculate the remainder when n is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b. Let t(v) be the third derivative of -v**4\/8 + 6*v**2. Give j(t(m)).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.66479 + 0.33521. Which is the nearest to 44? (a) -2 (b) 0.1 (c) -0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*u**3\/2 + 125*u**2 - 412*u - 128 = 0. Calculate u.\nAnswer: -2\/7, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243233386 divided by 1?\nAnswer: -1243233386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*p + p - 154, 4*p = -z + 190. Suppose -5*x + 36 = -x. Let d = x + 4. What is the remainder when p is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/8*4\/1. Let j be ((-11 - -20) + -11)*(-17)\/1. Calculate the highest common divisor of y and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -52. Suppose -540 = -4*x + 5*g, -y*x + 5*x + 5*g + 150 = 0. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j, 9 = 11*t + j - 25 - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 21*h**2 + 0*h - 2*h in the form v + x*h + p*h**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7330)\/15*(-39)\/2. Suppose x = -4*r + p, 5*x + 2*r - 6617 = 40938. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = -33*l + 12*l + 72 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55421264 (base 7) to base 5.\nAnswer: -2210402402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/5 - 1639904*p**2\/5 + 6559648*p\/5 = 0. Calculate p.\nAnswer: -819956, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/15 + (-332)\/(-20). Solve -4*q + 3*k = o, 4*q + 12 = k + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32037.59 + 32176. Let z = t + -138. Round z to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -3*k + 25. Let n be -2 + (-3 - -6*2). Let u = k + n. Let z(w) = 2*w + 3. Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -78*s**3 - 11*s**2 - 12*s + 27. Let j be q(-3). Calculate the greatest common divisor of 60 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55160.82um to millimeters.\nAnswer: 55.16082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 8*q + 4. Determine k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 17, 30, 43?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.05, -0.14, -1\/6, -545\/99?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 771.3 (c) 19\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 3456?\nAnswer: 3456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2062, 10856, 25514, 46036, 72422, 104672, 142786?\nAnswer: 186764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 4\/7, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:28 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*j + 2, 0 = -j + 4*u - 3*u + 4. Suppose j*s - 11*s = -144. What is the greatest common divisor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 17. Let g = -4.1 - -3.8. Let d = 271\/117 + -33\/13. What is the second biggest value in r, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -7. Suppose q*t - 3*t = -9. Let x = 8 + -9. Is x greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 517 = -512. Let f = -114 - l. What is the remainder when 94 is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 0, -5*y + 32 = -4*z + 17. What is the second biggest value in 2, 0.002, z?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030205 rounded to 6 dps?\nAnswer: -0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -35*u**2 + 61*u - 56. Differentiate z(o) wrt o.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0316044cm in nanometers?\nAnswer: 316044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i**3\/7 + 20*i**2\/7 + 1006*i\/7 - 16 = 0. Calculate i.\nAnswer: -7, 1\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:20 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 364424\nAnswer: 13\/364424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2056 and 47415215?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/2*-4)\/(-2). Let z(p) = p**2 - 5*p + 4. Let q be z(m). Solve q*n = -2*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:05 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 divided by -13241?\nAnswer: 456\/13241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i + 7. Let j be h(-7). Suppose -2*w + 137 = -p, -4*p - j - 98 = -3*w. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055621 rounded to 6 dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 64610 = -2*b - 10*b. Does 101 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5, 4*m + 0*f + 3*f = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*t - 6, 0 = 4*u - u + 4*t + 11. Let i(g) = -8 + 5*g**2 - u*g**2 - 8*g - 3*g**2. Let m be i(-7). Which is smaller: 3\/8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 475*o + 10673 - 10673)*(6*o**2 - 5*o**2 + o**2) to m*o**4 + i*o**2 + d*o + k*o**3 + t and give k.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-7) + (-8)\/28. Let z(n) = -3*n**3 + n**2 - 4*n - 3. List the prime factors of z(y).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:59 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgtt when four letters picked without replacement from tadtdyyatgydtit?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 135*u + 23. Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/10 - 332124*t**2 - 1378832713434*t\/5 - 5515304283848\/5.\nAnswer: -(t + 4)*(t + 1660618)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 + 100*i**3 + 352*i**2 + 336*i = 0. What is i?\nAnswer: -21, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 2, -126776, 0, 2\/3.\nAnswer: -126776, -0.3, 0, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5481)\/(-261)*(-372)\/84?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millennium in centuries?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - c + 1. Let t(v) be the third derivative of v**4\/24 + 6*v**2 + 16. Calculate o(i) + t(i).\nAnswer: -3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 3380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*l + 0*l + 47 = 0, -4*l = -c - 2. Calculate the remainder when 70 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*a + 0 + (-9 + 8 - 14)*(a + a - a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 51. What is the second derivative of -1168 - y*z + 14*z**3 + 1168 wrt z?\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 6*v**2 + 11*v + 81. Let b be m(-1). Suppose z - 5*d = -5, 2*z - 3*d = -1 - 2. Sort -2, z, b.\nAnswer: -2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 26. Solve m*p + 5*p - 2*s - 2 = 0, -p + 3*s = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 263*i**2 - 12*i + 26. Let m = 258 + -253. Is p(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 5. Let b(r) = 8*r + 11. Let u(c) = 6*c + 8. Let z(w) = 5*b(w) - 8*u(w). What is 7*t(a) + 4*z(a)?\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -38*z**3 + 38*z**2 + 127*z + 387. Is j(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448 - -456 - (-1 - 2 - (-46 - 13)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0161 + -27.5839. Is -8 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77\/36 - 1217\/468. What is the nearest to 0.1 in k, 1\/4, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 + 134.4. Let x = c - 7. What is x rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/13, 0.5, 46 in descending order.\nAnswer: 46, 24\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -22, -90, -226, -454, -798, -1282?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - o - 5. Suppose 3 = -5*l + 2*c - 29, 0 = 4*l + 4*c + 20. Let h be d(l). Put -7, h, -3 in decreasing order.\nAnswer: h, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.43 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**8\/3360 + j**7\/2520 - j**6\/720 + 11*j**5\/30 + 17*j**2. Let c(w) be the third derivative of x(w). Calculate c(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 - 8 + 2 + 17*y + y**3 - 11*y. Determine g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -7756.\nAnswer: -7755.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/4 - 299*y\/2 + 599\/4 = 0.\nAnswer: -599, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/49393674 and 97\/41161395.\nAnswer: 246968370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4107c - -41?\nAnswer: -4103b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/69680749 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 + -3 - 5) + 532\/(-95). Suppose -d = 5*m - 18, 4*d + 20 = 2*d + 4*m. What is the closest to r in -5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.89 + -7.89. Let p = 653\/5 - 131. Let y be ((-1)\/(-4))\/((-3)\/18). Which is the closest to 1? (a) p (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67603938*h**2 + 65781415 wrt h?\nAnswer: 135207876*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3024)\/273)\/(-6)*-13.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2*n + 8. Let p be s(-4). Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (61003 + -3)*(7 - 3). What is a rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*t = 3*t + 12, -t - 42 = -4*z. What is the least common multiple of z and (-1)\/3 - 4\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(-60)\/36\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(15\/2)\/d)\/d**(-3)*(d**(2\/27)*d)\/d**(-6\/5))**(5\/2) assuming d is positive.\nAnswer: d**(3179\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 4*a + 5*a + (-5 + 3 + 3)*(1 - 1 - 2*a))*(-2*a + 2*a - 2*a**3) to the form y*a**2 + t*a + n*a**4 + f + q*a**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77975, 312483, 703533, 1251125, 1955259, 2815935?\nAnswer: 3833153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**2 + 42*x**2)*(23 - 23 - 2*x).\nAnswer: -94*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 4*s**2 + 6*s + 2. Let z(q) = -q**3 + 7*q**2 + 27. Let r be z(8). Suppose 5*t = -207 - 3. Let k = r - t. Calculate f(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*c = 71, -l = -4*l - 4*c + 51. Suppose -l*o + 75 = -8*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 2*z**2 - z - 2. Let w be i(-2). Suppose -5*a + 3*l + 135 = 40, l = w. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -20\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*o + 13*o + 15*o)*(0 + 1 - 2)*((4 - 1 - 1)*(1 - 4 + 4) + (1 - 2 + 2)*(3 - 7 - 6)) as g*o + n and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223.98825 rounded to zero decimal places?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000590178 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2062, 0.4, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333222, -333064, -332810, -332466, -332038, -331532?\nAnswer: -330954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3*1*1*(sqrt(104) + 2*sqrt(104) - sqrt(104) - sqrt(104)))\/(((sqrt(112)*-2)\/sqrt(7))\/(3*sqrt(4)\/sqrt(2))))**2.\nAnswer: 1033\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u + 1. Let j(p) = -4*p + 1. Suppose 5*b = -10, -1130*k + 1133*k + b + 8 = 0. What is k*r(c) + j(c)?\nAnswer: 2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1109 + -537. Let f be 2\/11 - 192\/v. What is the closest to 2\/3 in -1\/11, f, -2\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513.3 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369709 is divided by 2344?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqefvkovk. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, i: 2, p: 4}. Give prob of sequence piep.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**3 - 17*w**2 - 2*w - 1. Let s(b) = -4*b**3 + 8*b**2 + b + 1. Let l(c) = 7*s(c) + 3*v(c). Let x be l(5). Suppose 15 = 3*j - x. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 12*q**3 + 2*q - 1 - 5*q**2 + 5*q**2 to m*q + d + y*q**3 + v*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245946.991662 - -0.3.\nAnswer: -245946.691662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.457530181 rounded to three dps?\nAnswer: -0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*c + 935*c - 474*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*c - 14, -3*t - 20 = -2*c - 22. Suppose -2*y = 2*n - 282, t*y + 5*n - 296 = 10*n. Calculate the greatest common divisor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaaaya. What is prob of picking 3 a?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**3 - k**2*u - 4*k*u - 2*k - 202*u wrt k?\nAnswer: 36*k - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -29. Suppose 0 = 2*p + 2*p - a. Put 5, 1, p in decreasing order.\nAnswer: 5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 141. Let y = -39 + n. Let d = y + -72.9984. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m - 12. Let b(k) = -77*k - 47. Let q(a) = -2*b(a) + 9*j(a). Let o be q(6). Let u = -54 - o. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 245?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 13, 5\/13, 0.4, 2\/53?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -5645*s + 5654*s - 45, -5*z + 5 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -164495 and -28.1?\nAnswer: 164466.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 4*x + 2 + 2*x)*((-6 - 2 + 11)*(-3 + 1 + 0) + 2 + 4 - 1 + (-3 + 2 + 0)*(-4 + 0 + 5) + 6 + 0 - 3).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 33*o + 317. Let i be n(-22). What is the greatest common divisor of 165 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:06 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*y - 4431 = 211*y - 7941 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1795*s**3 - 1800*s**3 + s - s + 4.\nAnswer: -5*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by 3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 30. Let v(u) = u**3 + 5*u**2 - 5*u + 12. Let a be v(y). Suppose -a*c + 10 = -20. Solve 3*s + 4*n = 10, -c*s + 12 = 4*n - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 62 (c) 1 (d) -1\/148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -46, -63, -86, -115?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*w + 5*w. Suppose -5*o = -2*a - 0*a - 32006, -w*o = a - 12797. Suppose -4*f = -8*f + o. Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2488 + 2483. Sort w, 112\/15, 3 in descending order.\nAnswer: 112\/15, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -11.55?\nAnswer: -16.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1040 + 3?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193 + 216.7. Let w = -2.7 + o. Let d = w - 20.9999943. Round d to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2604 by -5688.\nAnswer: 217\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17)*-6 + sqrt(17))**2*-1.\nAnswer: -2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13 + z**2 + 6*z - 17 + z. Let p be g(-8). Let w be 0 + 1 + p + 5. Solve -w = -k + 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -0.42. Let g = 6 + -6.38. Let l = g - 0.12. Which is the second smallest value? (a) k (b) l (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064499827 to four dps.\nAnswer: -0.0645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/9*z - 8\/9*z**2 - 2\/9*z**3 + 0 + 2\/9*z**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 8 = 0, 0 = 2*g + 5*o + 1126. Let z be (-6)\/2*g\/6. Suppose 4*r - 248 = z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**3 - 5*c. Let v(r) = r**3. Let x(z) = d(z) - 4*v(z). Find the second derivative of x(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 4*q. Let g(r) = -r**2 + 4*r. Let w(l) = 5*c(l) + 4*g(l). Let w(i) = 0. Calculate i.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45682262, 45682265, 45682268?\nAnswer: 45682271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f + 0*f)*(3*f**4 + 2*f**4 - 6*f**4).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*h - 59 = 0, h = 53*x - 49*x + 293. Suppose -3*w - 347 = 25. Let q = x - w. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107576 times -31\nAnswer: -3334856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16096817 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*h**3 + 395*h**3 + 388*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4, -1\/6, -13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111424 + 31?\nAnswer: -111343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10490*d**2*i**2*l + 3049*d**2*i**2 - 13*d**2*i - 2*d*i + 21*d + 14479*i*l wrt i?\nAnswer: 20980*d**2*l + 6098*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 175 = -4*s - s, 5*m - 190 = -5*s. Suppose 4*l = l + s. What is the remainder when 20 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.503, 15\/431?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + c**3 - c**3 + (-2*c**2 + 2*c**2 + c**2)*(3 - c - 3).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-5*221\/(-26). Suppose -t = -r - 45. List the prime factors of t.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.27 + 0.13. Let m = 10 - v. Let b = -0.4 - m. Put b, 2, -4 in decreasing order.\nAnswer: b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1243567668 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o + 33 = 51*o. Solve 4*t - 9 - o = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -7. Let q be 3\/(-2)*(-1)\/12. Which is the closest to x? (a) -0.3 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*31\/(1736\/(-32)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603242 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*t + 54, -3*t + 0*p - 5*p + 38 = 0. Suppose 12*h - 2 = t*h. Calculate the highest common factor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 1 - 37\/3*h**3 - 171\/2*h**2 + 70*h. Differentiate t(y) with respect to y.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -292, -305, -334, -385, -464?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 870 (base 11) to base 10\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (sqrt(567) - (sqrt(567) - (-1 + sqrt(567)))) + -3 + sqrt(567)*1*-6)**2.\nAnswer: 288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 12) in base 13?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h)*(-12 - 6*h + 12)*(465*h - 465*h + h**2).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-4) + -3*1. Suppose 0 = -2*h + 2*r - 4, 4*h + 0*r + p*r - 16 = 0. Suppose -4*i = -h*k + 90, 4*i + 198 = 4*k + 2. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -455? (a) 3 (b) 1\/4 (c) 30 (d) -3 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 = -2*g, 0*g + 5*g + 10 = 0. Suppose 9*c = 4*c + 60. Let j = c + p. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 676?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.11+8.8\nAnswer: 8.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409151 > 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 361*j - 9366. What is m(-26)?\nAnswer: 1372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da6533 + 1?\nAnswer: -da6532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-462) - (-1 + 9\/7)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 2998846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-15)*(v\/v**(1\/2))**(-43))\/(((v*v**(1\/4))\/v)\/v*v**(-1\/8)*v)**(-36) assuming v is positive.\nAnswer: v**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*b**5 + 45*a*b**3 + 39*a*b + 2*a - 3*b**2 - 5 wrt b?\nAnswer: 20*a*b**3 + 270*a*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -18 + 148 + -153 + 69 + 2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 4100?\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230)\/(-483)*-8*9\/360*54?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 11816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*c + 10*g, 2*c + 9 + 3 = 2*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k - 4. Let v be z(-8). Let y = -52 - v. Solve 4*r = -4*j - y, 30 = -3*j - 5*r + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljj when three letters picked without replacement from {l: 11, j: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 673422281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70, -140, -218, -310, -422, -560, -730?\n\"Answer: -l**3 + 2*l**2 - 69*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6338 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13 = r + 90, 4*b = -5*r + 47. Let f = b + -11. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 - -0.18. Let t = 398.53 - 403. Let y = q - t. Round y to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 347*p**4 - 3*p**3 + 422*p**2 - p - 2.\nAnswer: -60*p**2 + 8328*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -98*f + 15. Let w(z) = -z - 3. Let i(g) = t(g) + 5*w(g). Let m(p) = -2*p. Determine i(m(l)).\nAnswer: 206*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -4, -0.1, -61\/4 in descending order.\nAnswer: -0.07, -0.1, -4, -61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 12. Let i(p) = p + 4. Let o be i(y). Suppose 4*h + o*h + 24 = 0. Let l(r) = r**3 + 6*r**2 - r - 8. Give l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j. Let p be q(-3). Suppose 3*a - 2*a = 0. Let k = -18 + 18. Solve -3*o + p + a = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 6 = 14*d. Suppose d*f + 21 = -47. Let q be (-4 - -1)\/(3\/2) - f. Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 8) to base 6\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -47*s + 44*s. Solve 13*w + 3*i = s*w - 4, 0 = 3*w - 5*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2426 - 6706080210.\nAnswer: -6706082636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + 11*m)*(3 - 6 - m + 1).\nAnswer: -11*m**2 - 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 3 + 479*i**3 - 480*i**3 - 5*i**2 - 2. Let l = -16 + 10. Determine t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + y = 80, 21*x = 16*x - 3*y + 100. Calculate the highest common divisor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*(10\/(-1400))\/((-15)\/105).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2995 - 2803. Calculate the greatest common factor of m and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/(-6*8\/96)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*i**2 - i - 3*i**4 + 2*i**3 - 4*i**2 - 8*i**2 to s + j*i**2 + z*i + c*i**4 + a*i**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14*-2)\/(18\/(-7556013)*1). Let f = -16545798 + z. What is f rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let d(i) = 1462*i**2. Give s(d(y)).\nAnswer: -4274888*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 1, k: 1, l: 5, w: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-197)\/(-2))*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/3, -287, -0.1, -0.3, 0.3, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/15 and 61\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/7 + 1 + (0 - 4). Put 8, r, 12\/7, -5 in descending order.\nAnswer: 8, 12\/7, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21465 - 21442. Suppose 3*r - 3 = 3. Let f be (0 - (-1 + 2))*r. What is the second smallest value in y, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9673970791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -60, -2625, -1\/6?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 11.22. Let d = -3.22 - q. What is the biggest value in -1, -2, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/184073 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 + j**2 + 5*j + 4. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*v - 11, 3*g + 2*v - 20 = 0. Let y be 3\/9 + g\/(-9). What is the second smallest value in -0.1, y, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -32 - 4. Is -18 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/378)\/((-13)\/(-182)*7\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + 1)\/(1\/27). Suppose -3*q - g = -4*q. Suppose 3*o + 2*o = -z + q, o = 2*z - 637. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61\/6, 33652, 0, 0.2 in decreasing order.\nAnswer: 33652, 0.2, 0, -61\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78)\/(sqrt(12)\/sqrt(2)) + -1)**2 + (3*-5*(2*sqrt(13) + 0))**2.\nAnswer: -6*sqrt(13) + 11818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 10. Let w = 15 - o. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16292 and 1588470.\nAnswer: 3176940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-177)\/15 - -13)*10\/(-6). Suppose 5*g - 26 = 4*u, -g + 2*u - u = -6. Let i(j) = -g*j + 5 + 4*j - 3. Let m(c) = -2*c - 3. Give f*m(b) + 6*i(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256 at least -10.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(95) - 2*sqrt(95)*2 - (sqrt(95) - sqrt(95)*2*3))\/((sqrt(400)*-1)\/sqrt(5)).\nAnswer: -sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(33)\/(sqrt(9)\/sqrt(3) + sqrt(3) + sqrt(3))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7077\/46506)\/((-3)\/(-2346))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (17 + 1 - (300 - 284)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 9*b**4\/4 + 119*b**3\/4 + 17*b**2\/4 - 119*b\/4 - 13\/2 = 0?\nAnswer: -13, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22315*i**2 + 709*i + 5. Let g(d) = 16735*d**2 - 532*d - 4. Let m(n) = 13*g(n) + 10*h(n). Find the second derivative of m(w) wrt w.\nAnswer: -11190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:45 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/13, 2\/5, -2\/7 in increasing order.\nAnswer: -7\/13, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(22\/((-66)\/(-6)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -34 in descending order.\nAnswer: 5, 1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 11*p**4\/4 - 4*p**3\/3 + 2*p - 19. What is the second derivative of q(t) wrt t?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 16*r**2 - 4*r - 24 = 0. What is r?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 1. Let s(d) = -4*d**2 + 27*d + 14. Let m(r) = -2*r**2 + 15*r + 8. Let l(c) = -7*m(c) + 4*s(c). Let a = -76 + 77. Give a*l(w) + b(w).\nAnswer: -w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 6, k: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -33*p. Let k(b) = 31*b - 1. Let d(l) = -65960*l + 2134. Let i(u) = -d(u) - 2134*k(u). Calculate i(j(m)).\nAnswer: 6402*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrmqqmmfqffqf. What is prob of picking 1 r and 1 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324\/89455 or 0?\nAnswer: 324\/89455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 552 and 19228?\nAnswer: 115368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 2*m + 48. Solve 15 = 4*p + p, m*g - 5*p + 12 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17*t - 5. Suppose 0 = -43*x + 50*x - 35. Let m(f) = 60*f - 18. Determine x*m(w) - 18*n(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 36\/10. Suppose 0 = 2*b - 3*a - 536, 3*b + 0*a - n*a - 803 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 + 284. Solve -m - 4*j + 15 = 0, 5*m + 2*j + 0 + a = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11335728, -22671451, -34007174, -45342897, -56678620, -68014343?\nAnswer: -79350066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -232, -351, -472, -595, -720, -847?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12021 - -1021911\/85. Let v be 1 - ((-3014)\/(-680) - 1). Let j = v + o. Calculate the common denominator of 59\/4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 + 0*l**2 - 6*l**2)*(-3*l + 0*l + 5*l) + (3 - 2*l - 3)*(3*l + l**2 - 3*l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226, -426, -768, -1258, -1902, -2706, -3676, -4818?\n\"Answer: -o**3 - 65*o**2 + 2*o - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12805*c + 12551*c = 4064 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 11.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4647195*p**2 - 11*p**3 + 4647195*p**2.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*i + 421*i + 421*i + 425*i + 430*i + 418*i - 2543*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - g + 39, -2*g = -0*p - 4*p + 74. Let n = 31 - p. Calculate the greatest common factor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1078376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 15 + 105. Which is smaller: -29 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/132 + (1*29)\/((-121)\/(-44)). Sort 4, n, -35.\nAnswer: -35, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*((-3)\/5)\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 - 2*p + 3. Determine v(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170132.\nAnswer: 2, 42533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746432909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 2.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/((-36)\/42) + -7. Let y = -2\/7131 - 6713\/1490379. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 9 - 5 - 1. Calculate c(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 4253?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.01703634692035 + 0.08\nAnswer: 0.06296365307965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 19*o - 27. Let g(b) = 2*b**2 + 10*b - 13. Let l(n) = 5*g(n) - 3*w(n). List the prime factors of l(9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.76 - -3.66. Which is the nearest to 1\/3? (a) 0 (b) i (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 12*g**2 - 16*g + 44. Calculate c(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4 + 69*x**3 - 4845*x**2 + 9471*x - 4698 = 0.\nAnswer: -54, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from qqqqaivviai.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*v**2 - 176*v**2 - 158*v**2 - 6 + 702*v**2 as k*v + q*v**2 + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1284.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1392*l**3 - 1559*l**3 + 4970*l**3 - 730 + 4175*l**3 + 5805 wrt l?\nAnswer: 18582*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.1436.\nAnswer: -4.8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3841490 - -3841489.86000103. Let u = -10.14 + 10. Let j = u - z. What is j rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/180 + 19*z**5\/90 - z**4\/36 - 19*z**3\/9 + 55*z**2. Factor q(p).\nAnswer: 2*(p - 1)*(p + 1)*(p + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 7:02 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 522*u + 238. What are the prime factors of l(7)?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*n + 8*n + 13, 3*o + 3*n = -3. Let y = o + -3. Suppose y = q + 4*q - 110. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01411465 + 0.5?\nAnswer: 0.48588535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 29. Let b be h(0). Let j = 73 - b. Let t = j + -30. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = 2*f. Suppose 12 = -4*p + f*p. Find the first derivative of 3*h**3 + 22 - 4*h**p - 6*h**3 wrt h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(8) + sqrt(24)\/sqrt(147)))**2.\nAnswer: -160*sqrt(2)\/7 + 1737\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 64*w**2 + 872*w - 790. Let b be j(18). Factor 13\/2*y + 0 + 15\/2*y**3 - 1\/2*y**4 - 27\/2*y**b.\nAnswer: -y*(y - 13)*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -11022001201?\nAnswer: -11022001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*j - 11. Suppose r = 3*g + 2*g - 6, 28 = j*r + 4*g. Let t(c) = 2*c**3 - 15*c**2 + 9*c - 10. Let v be t(7). Solve -20 = r*f - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 2*q - 18*q)*(-1 - 1 + 1)*(q + 3 - 3) to w + v*q + m*q**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(11\/11)*8\/(224\/(-798)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350972 - -631715. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 0 + 3)**2 + -5 + 4.\nAnswer: 30*sqrt(17) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - z + 35 = 15, -3*u + 3*z - 48 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83843 or 754595\/9?\nAnswer: 754595\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27347447151 and 0.\nAnswer: 27347447151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1950884 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -48724 divided by -24362?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -6*m - 4*m. Suppose -2*g - 87 - 23 = 0. Let x = g + m. What is the remainder when 128 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2) - 195\/(-10). Suppose 0 = 13*p - g*p + 75. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, -4, 0 in descending order.\nAnswer: 0, -4, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177*t**6 - t**5 - 477*t**2.\nAnswer: 21240*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4)*(-5 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:51 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 422 + 5153003?\nAnswer: 5153425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 2*w - w)*(-45*w + 124*w + 315*w) in the form m*w**2 + c*w + l and give m.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8070153711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1228 minus 302164?\nAnswer: -302163.8772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let h(l) = -16572156*l. Give h(x(r)).\nAnswer: 16572156*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z - 4*o + 19, 5*o = 5*z + 30. Let u(i) = -20*i**3 - i. Calculate u(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/17451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*s**4 - 16*s**2 + 3*s**2 - 27*s**2 wrt s?\nAnswer: -648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/14*(62062\/10788)\/(-143)?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 469*w - 8 + 12.\nAnswer: 469*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37328 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*u - 17 - 35 = 0, -3*m = 4*u - 92. Find the first derivative of m + 9*h**2 + 59 - 6*h - 5*h + 17*h wrt h.\nAnswer: 18*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 55. What is the highest common divisor of 30 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4, -1, 25, 839.\nAnswer: -1, 0, 4, 5, 25, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -6124?\nAnswer: -367.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3 - 1. Calculate the remainder when 4\/(3\/(-6)*-1) - 2 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)\/(4\/300). Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 72. Suppose 6*d = -5*g + c*d + 18, 3*g - 3*d = 30. Factor 18*u**2 - 49*u + 89*u + g + 2.\nAnswer: 2*(u + 2)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 - 728045*l**3 + 26505752090*l**2 - 238505904000*l + 476985600000 = 0. What is l?\nAnswer: 3, 6, 72800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -80*d + 82*d - 8, 2*w = -2*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/20 (b) -2 (c) -0.5 (d) 1\/7 (e) 52\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.817 less than 0.4?\nAnswer: -129.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42770.99 - -42538. Let a = -233 - p. Suppose h = 2*s + 2 + 2, -5*h - 40 = 5*s. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043490 is divided by 149052.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 + 3*v - 1. Calculate the lowest common multiple of f(-1) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 48 = -3*g. Suppose d - 7 = 2*k - 43, 2*d - g = -2*k. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2426 and 2068 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -5*s**4\/4 + 2*s**3\/3 - 39*s**2\/2 + 3759*s + 5605. What is the derivative of q(y) wrt y?\nAnswer: -15*y**2 + 4*y - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y - 19 = -h, 0 = -4*y + 5*h - 11. Let x(z) = z**3 + 8*z**2 + 10*z + 2. What is the units digit of x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -933 - -3947. Let x = -1523 + g. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15936 divided by -6.\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7455\/(-34080)*8\/14\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.07 + 1.2. Let c = 66 - 65.8736. Let b = z - c. What is b rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249188 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5386, 20, -0.18 in increasing order.\nAnswer: -5386, -0.18, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wosttwssshjst. Give prob of picking 2 w and 1 j.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 6. What is the remainder when 93 is divided by y(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/240)\/(2\/21*15). Let k(o) be the third derivative of 0*o + 0*o**4 - o**3 - 6*o**2 - a*o**5 + 0. What is the first derivative of k(v) wrt v?\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/1705 - 343\/1705. Let h be (1 + 2)*5\/12. What is the second smallest value in h, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44297 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: Suppose 6*p - 15 = -x + 2*p, -2*p + 9 = x. Let n be 1 - -4 - -2 - x. What is the units digit of n\/(-1)*5\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 2*b**3 + b.\nAnswer: b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-16) - (-6)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20340343 - -32?\nAnswer: -20340311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 3*a + 38. Let z = a + 83. Suppose 2*q = 7*q - z. Solve 2*l + q = -0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(-2*sqrt(468))**2 - (((2 + sqrt(325) + sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325))*-3)**2)*-1 + 4.\nAnswer: 540*sqrt(13) + 31984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.419689ml to litres.\nAnswer: 0.002419689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(2299) + 5 + (1 + sqrt(2299))*6).\nAnswer: -264*sqrt(19) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22346084 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40281143*0.1\nAnswer: 4028114.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*d - 69 = 0, -42*f - 2*d - 32 = -40*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**50\/(y**0)**2)\/((y\/y**(-2\/3))**(1\/16))**31 assuming y is positive.\nAnswer: y**(-755\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + f - 2 + 48*f - 202*f + 74*f + (5 - 1 - 5)*(0*f - 2*f + 3*f).\nAnswer: -80*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6523 = 27*n + 934. What is the least common multiple of n and 92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1\/(-2)*(-433)\/(-3031)*-48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16994\/20 - (-4)\/30. Let x = z - 858. Let a = 17873\/10 - 7165\/4. Find the common denominator of a and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/((-952)\/16) - (-19)\/(-42). Which is the closest to -1\/2? (a) 3 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64883.\nAnswer: 7, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1662, 6766, 15294, 27258, 42670, 61542, 83886?\nAnswer: 109714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -340*b - 71\/4*b**2 - 1\/4*b**3 - 867 = 0?\nAnswer: -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(3960\/(-3573)) + 1\/1 + -10.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97488872519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**2 + 6*t + 7. Let z(d) = -d**2 + 42*d - 111. Let r be z(3). Let f = -2 + 3. Let l(i) = i**2 - i - 1. Let a(b) = f*x(b) + r*l(b). Factor a(n).\nAnswer: -(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5390766?\nAnswer: 2, 3, 99829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.19 + 12.23. Let u = 0.02 + 4.98. Let b = l - u. Round b to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*j**2 - 490*j**2 + 195*j**2 + 2 - 549*j**2 + 23*j**2 - 27*j**2.\nAnswer: -1595*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4 + 1749*l**3\/2 + 4407*l**2\/2 + 444*l - 882 = 0.\nAnswer: -2, -1, 1\/2, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 263\/1020 - 2\/255. Let w = -8 + 5. What is the closest to -1\/2 in a, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 711 - 711. Solve 0 = -2*t + 3*h + 7, u = 2*h - 7*h - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s**3 - 3*s**2 - 3*s + 1. Suppose 1 = 4*i - 5*c, -5*c - 1 - 4 = -5*i. Is q(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5762 + 6*o - 5*o - 8697 in the form t + f*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7560107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882350408.\nAnswer: 2, 3, 137, 572491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 14*h + 64 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 123*w**2 + 22*w + 38. Is x(-2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039731 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 8, 3, -2?\n\"Answer: -5*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 6*5*((sqrt(396) - sqrt(396)*1) + sqrt(396)))*-3)**2.\nAnswer: 12960*sqrt(11) + 3207744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Calculate the remainder when 4 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043048 to 5 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2 + 11188005*l - 11188000 = 0?\nAnswer: 1, 2237600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3062*-0.12\nAnswer: -367.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22561 divided by -3.\nAnswer: 22561\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -5*m - 15, 190*b - 185*b + 9 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 5. Calculate the remainder when (-1 - 6\/c) + 28 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -139*r**2 + 27*r + 83. Let g(k) = -47*k**2 + 9*k + 28. Let a(x) = 8*g(x) - 3*u(x). Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.5367 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.8 - -2.8. Let v = u + 1. Which is the smallest value? (a) 0.6 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*d**2 - 24*d - 9\/5.\nAnswer: -(20*d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9680)\/(-35) + 3\/7. Suppose 4*j - 103 = i. What is the greatest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 86917179717.\nAnswer: 86917179716.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 + 16. Let u be q(0). Let c = u + -14. Solve -3*w + c = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56758669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37594248, -37594247, -37594246, -37594245, -37594244, -37594243?\n\"Answer: v - 37594249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8420*v = -8355*v + 1365 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 400838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 3*x)*(75395*x - 75395*x + 1554*x**4 + (-x**2 - 3*x + 3*x)*(0*x**2 + x**2 - 3*x**2)).\nAnswer: 1556*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 186*z**2 + 1413*z - 2484 = 0. What is z?\nAnswer: -69, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {u: 1, l: 3, w: 3, e: 1, x: 1, d: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/7 of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -45*s**4\/4 + 9*s + 56. Find the first derivative of b(y) wrt y.\nAnswer: -135*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2289417652 by 4.\nAnswer: 572354413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70108 and 65076?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:38 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 - w**2 + 1. Let c be p(-1). Let h(s) = -s**3 - 4*s**2 - 4*s - 2. Let x be h(-2). Let y = c - x. Solve y = -v - 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17583 = -22*o + 17165 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(-60)\/8. Suppose 0 = -b - y + 10. Suppose -3 = -6*l + 3*l. What is the highest common factor of l and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621\/482 >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/30 + j**2. Suppose -15 = -z - 4*z. Let t(m) = -3 + 3 - z*m. Calculate t(a(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b - -3b1254?\nAnswer: 3b1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 34.1. Let c = -3987\/88 - -361\/8. What is the biggest value in c, 6, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208239 - 208385.617. Let p = z - -147.3. Let k = -0.013 + p. What is k rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 46 + 38*p + 10*p)*(-4 + 4 - 1)*(2*p + 1 - 1) in the form k + r*p + s*p**2 and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-3)\/(-13)*-44*2067\/13992?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.417854 to 3 dps.\nAnswer: -0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 206, -5 in ascending order.\nAnswer: -5, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/15)\/t**(-9))\/((t*t\/(t*t*t**10*t)*t)\/t*t**1) assuming t is positive.\nAnswer: t**(283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 82, 10 in descending order.\nAnswer: 82, 10, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -27. What is the second derivative of 3 + 6 + 5*i**2 - t*i - 9 wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = 12. Let d be 1*(0 - -1) - z\/(-2). Find y, given that 3\/4*y**d + 3\/4*y**3 + 1\/4*y**4 + 1\/4*y + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**2\/5 + 58*z\/5 + 16\/5.\nAnswer: (z + 8)*(7*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20657 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t**3 + t**2 + 2*t + 1. Let o(w) = -w - 2. Let p be o(-4). Suppose 4*k - 5 = p*m + m, 5*k + 20 = -5*m. List the prime factors of g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 15*y - 12 + 13*y - 448*y**2 - 5 - 30.\nAnswer: -448*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1331) + 0)*-6 - (3 + (sqrt(1331)*-1*-4)**2))*-3.\nAnswer: 198*sqrt(11) + 63909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.091 times -0.01\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-42))\/(14\/(1274\/39))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(0\/2 - 1). Let z = -0.8 - -1. Let q = -0.1 - -4.1. Which is the second biggest value? (a) q (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0 + 0*j**3 + 1\/60*j**4 + 70*j - 2\/5*j**2. Solve n(d) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -8 (c) 1306 (d) 4\/19 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.326 = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10429490 to the nearest ten thousand.\nAnswer: -10430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4, 5*n + 19*m - 18*m - 3101 = 0. Suppose 2*s + n - 1805 = 0. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 33*m**2 - m - 1. Let x be z(-33). Solve -x = 4*b - 44 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i + 0 = -243. Let b be (0 - 0) + 25*1. Let d = i + b. Calculate the remainder when 78 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 164. Let t(f) = -1709*f. What is n(t(d))?\nAnswer: 3418*d + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 2, r: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 6*k**2 - 6*k - 32. Let s be l(-6). Let j be 14\/(-2)*19*s\/(-14). Put 1, 4, -1, j in increasing order.\nAnswer: -1, 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20691 at least -20691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 + 3 + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 4938390.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 15. Let w be j(10). Let b be (30\/36)\/w + (0 - 0). Put 5, -0.2, b, 0.1 in descending order.\nAnswer: 5, b, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6359.672t?\nAnswer: 6359672000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 4698*l + 8770595\/2.\nAnswer: (l - 8345)*(l - 1051)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/34008 and -92\/4059705.\nAnswer: 32477640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.25625616 to two dps.\nAnswer: 79.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 - (-82 + 1). Suppose 53 + h = 5*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135113, -135114, -135107, -135086, -135045, -134978, -134879?\nAnswer: -134742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 9 = -4*t + 9, 3*t = v + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 + ((-4526)\/(-248))\/(1 + 46\/(-48)) and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 12020131441?\nAnswer: 12020131411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r. Let q be h(-1). Let f(s) = s**2 + 3*s + 1. Is f(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - (20 - 0)) - 28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -13 + (-1 - -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20920, 166763, 562616, 1333483, 2604368?\nAnswer: 4500275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5.9. Let c = 1.22 - 0.02. Let v = z + c. Put v, 3, -4 in descending order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*n + b, -2*n - 245 + 295 = 4*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round -2469 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/14)\/(2\/7). Suppose 0 = 3*k - m*k + 33. Let x be (-2982)\/(-54) - (-2)\/(-9). Calculate the greatest common factor of k and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.7 - -24. Let w = -0.7 - n. What is the smallest value in -2\/3, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 9*s + 6775. Give q(84).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 342733.\nAnswer: -342733.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttfc when four letters picked without replacement from {c: 1, r: 2, t: 3, f: 1, m: 3, e: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntl when three letters picked without replacement from nltnnlndlnlxxbd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14961 + 4376 - 16475 = -451*n for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 73*v - 55. Let g(r) = r**2 - 36*r + 28. Let x(y) = -13*g(y) - 6*w(y). Does 26 divide x(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**2 - 13*b + 37. Let y be j(18). Suppose -y*v + 16*v = -371. Does 53 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*a + 17, -1 + 12 = 3*r - 4*a. Suppose 5*g - 280 = -r*m, -5*g + 273 = -m - m. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13831629 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 4*r + 3*r - r - 3. Let l be 10\/(2 + 0 - 0). What is the units digit of h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-8) - 1\/4. Let a be (0\/3)\/(h - 4). Solve -16 = -4*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 2362 - 3878. Solve 6*g = -219 + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -859*d + 46. Is c(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -170. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 2*p + 5. Let m be 2 + -8 - (-16)\/8. Let s(f) = 3*f**2 - 5*f - 14. Determine m*s(g) - 11*i(g).\nAnswer: -g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/30 + s**2. Let l(c) = -4*c**2 + 2*c + 8. Let v(w) = -4*w**2 + 3*w + 12. Let p(t) = -3*l(t) + 2*v(t). Give f(p(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/((-108)\/(-45) + 2\/(-5)). Let w = 97 - 121. List the prime factors of (-1)\/s + (-5910)\/w + -2.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 46. Let q = n + -24. Suppose 0*p + 90 = -2*c + 2*p, q*p = -5*c - 261. What is the common denominator of c and 17\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 52. Calculate f(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + b**5 - 4*b**5 + (3*b**4 + 704*b**3 - 704*b**3)*(-b - 3*b + 6*b).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (30\/12)\/((-126145)\/(-21020) + -6) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226 + 2940\/13. Let h = 503 + -499. Put s, h, 0.5 in decreasing order.\nAnswer: h, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.003, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -10*k + 8*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 2*m + 16 = 0, -2*m - 20 = -50*j + 45*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-68)\/(-20))\/(4\/10). Let l be -22*(2 - 54\/12). Sort v, l, -1 in descending order.\nAnswer: l, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 837120122*p**3 + 405276602*p + 1 wrt p?\nAnswer: 5022720732*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) -0.6 (c) -0.8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbdbdde. Give prob of sequence cb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -15, -14, -11, 0, 25, 70, 141?\n\"Answer: p**3 - 8*p**2 + 22*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -185*o - 99*o + 306*o. Let p(y) = -y + 9. What is n(p(s))?\nAnswer: -22*s + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 395. What are the prime factors of g?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/2 - (-438 + -2). Suppose -96 = 6*d - c. Calculate the remainder when d is divided by 6\/8 + 77\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 3}. Give prob of sequence xx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -525 + 247. Let t = -278 - c. Solve t = 10*a - 13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*i - 3. Suppose 4 = -i*p + 3*k, k - 2 = -p + 1. Suppose y = 3 - p. Which is smaller: 5\/3 or y?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 3) + (-946 - (-5 + 11)). Let i = y - -941. Which is bigger: -19\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 160 = 4*d. Calculate the remainder when d is divided by ((-20)\/6)\/(-4 + 161\/42).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-48))\/(4\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14095 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46849844 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -b + 92393, 35*b - 31*b - 369548 = 4*o. Round b to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*y - 749, 2*y + 500 = -6*j + 2*j. Let r = 1162 + y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 786, 1183, 1580?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 166, 142, 102, 46, -26, -114, -218?\n\"Answer: -8*z**2 + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 388\/(-1649)*17\/(-2). Solve 3*i = 4*r + 10, -r - g*i = 1 + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76 - 66 + 239*t + 139*t - 3881*t**2 - 76 + 215 wrt t.\nAnswer: -7762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d = -49*d + 1254. Let p = d - -878. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lflf when four letters picked without replacement from llffllfllfff?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**5 + 684*p**3 - 745*p**2 + 2740604*p + 2 wrt p.\nAnswer: -100*p**3 + 4104*p - 1490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 102174675 and -0.19?\nAnswer: 102174675.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27427760976 and 5.\nAnswer: 27427760981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(90)\/(1*sqrt(3)) - -2*sqrt(120)\/sqrt(4))\/((sqrt(6) - (sqrt(6) + sqrt(42)\/(sqrt(14)\/sqrt(2)) + sqrt(6)))*3))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.102075 and -0.1.\nAnswer: -0.202075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2904)*44*11\/94?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffbffpppf. What is prob of picking 2 b?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 6130379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8078, -8077, -8076?\n\"Answer: g - 8079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 3, -3 in decreasing order.\nAnswer: 3, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -124 - ((-6)\/3 - -2). Let l = x + 220. Let m(c) = 96 - l + c**2. Let z(v) = -3*v**2. Determine m(z(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 1965?\nAnswer: -1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 41*d = -82, 2*r - 3*d + 23 - 11 - 3 = 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*z = -130 + 11251 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 64050?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502955.\nAnswer: 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*m - 4, -5*m + 4*a = -a + 5. Which is greater: m or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*h + 39, -3*h + 18 + 10 = -n. Solve -5*p + 1 - h = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 17480208*c + 17480210 = 0. What is c?\nAnswer: -8740105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 30*a**2 + 14*a - 46. Let d(c) = -26*c**2 - 12*c + 49. Let r(k) = 7*d(k) + 6*h(k). Let l(p) = -p. Calculate r(l(o)).\nAnswer: -2*o**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4802*o - 4785*o - 34 = 0. Let q(z) = -3*z - 2. Suppose f + 3 = -2. Let y(k) be the first derivative of -5*k**2\/2 - 5*k - 1. Calculate f*q(s) + o*y(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(44).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6574 take away 180.691?\nAnswer: -181.3484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1194, 5 in descending order.\nAnswer: 1194, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let o = -321 - -371. Let y(n) = -22099 + 22099 + o*n**2. Determine y(p(l)).\nAnswer: 800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 = -3*n + 14535. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/52 and -61\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1082.76 - -1434.5821.\nAnswer: 2517.3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332 (base 5) to base 2.\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/120 - l**5\/6 - l**4\/12 + 2*l**3\/3 - 30*l**2. Let t be o(-10). Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 23. Suppose -a = -4*a + 3*i + 24, 0 = -2*i + v. Suppose n = 196*c - 198*c - 2, -4*n + 4*c + 40 = 0. What is the highest common factor of a and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*x**3 + 2246532*x - 379844859?\nAnswer: -42*x**2 + 2246532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 7114*z**4 + 6286854*z**3 - 69882866*z**2 + 120876704*z - 57287808 = 0.\nAnswer: -1784, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/((-11544)\/(-585)))\/((-10)\/4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 15*x**2 + 13*x - 5. Let q(a) = -a**3 - 8*a**2 - 7*a + 2. Let j(h) = -5*q(h) - 2*r(h). Determine j(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -234.\nAnswer: -1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 35. Suppose -560 = -b*k - 4*k. 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: Let d(m) = 3*m**2 - 4*m. Let h(g) = 7*g**2 - 7*g. Determine -7*d(n) + 4*h(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -4, 2306\/319, 0.1 in descending order.\nAnswer: 2306\/319, 0.4, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 300300322*j*u**2 + 1945632*u**2 - 2*u + 6 wrt j.\nAnswer: 300300322*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/608 and 127\/506464.\nAnswer: 506464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.38 or 2?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3107545470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:10 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + o**2 + 0 - 7*o + 8.\nAnswer: o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048419761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 15*i + 2. Let c be r(-15). Let y = -18 - -9. Let k be -21*(4 + 42\/y). Solve -3*q + c = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -558*b - 71307. Give m(-128).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1845 and 90.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m**2 - 2. Let l(p) = -33301476*p**2. Give y(l(k)).\nAnswer: 18852801164235792*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 628133725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -172*i**4 - 4*i**3 + 334*i**2. Let r(w) = 172*w**4 + 3*w**3 - 333*w**2. Let k(f) = 3*l(f) + 4*r(f). Find the third derivative of k(q) wrt q.\nAnswer: 4128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -35. Let b = p + -23. What is the least common multiple of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 90*w - 22857. Determine s(254).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-30))\/(4\/(-6)). Let z be 2\/7 - ((-7293)\/(-119) + -64). What is the third smallest value in z, h, -1\/12, -1\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 3f4c?\nAnswer: 3f4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/2 - 7*z**4\/12 + 7*z**3\/6 - 157*z - 2. Let s(d) = d**3 + d**2 - d. What is 5*s(w) + t(w)?\nAnswer: -5*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/5 + 2*v**4\/5 + 6*v**3\/5 - 8*v**2\/5 - v + 6\/5 = 0 for v.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - r + 2*r**2 - 5*r**3 + 0*r**3.\nAnswer: -5*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Let p be f(2). Sort -5, p, -4 in ascending order.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0 + 0*q**3 + q + 1\/6*q**4 + 0*q**2. Let x(d) = -2*d**2. Determine x(n(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 7462825.\nAnswer: -7462821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -678\/13 - -52. Let i = -106 - -110. Let y be (-1)\/3 + (-10)\/(-18). Which is the closest to y? (a) i (b) -1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0*l**3 - l**3)*(-4 + l**2 + 4 - l**2 - 5*l**2 + l**2 + (2 - 2 + 2*l)*(4*l - 4*l + l) + 4*l**2 - l**2 - 5*l**2).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 428.258 decades?\nAnswer: 51390.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*m**2\/3 - 13301*m\/3 + 1364 = 0. Calculate m.\nAnswer: -132, 31\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 44*u = -6380. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10040 + 14392. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - a + 5 = 0, -3*t + 0*t - 3*a + 12 = 0. Put 12, -1, t in decreasing order.\nAnswer: 12, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + 3\/((-18)\/24). Suppose 2*s - 5*g = -10, 5*s - 5*g = -8 - 2. What is the fourth smallest value in v, s, 6, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 p, and 1 k when four letters picked without replacement from eekkekqekqeeweeepq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(136)*-6)\/(2*sqrt(8)*6 - (sqrt(48)\/sqrt(2))\/sqrt(3)).\nAnswer: -12*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 + -22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186534709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let 21*z**4\/5 + 89109*z**3\/5 + 69498372*z**2\/5 + 89233236*z\/5 + 19823952\/5 = 0. Calculate z.\nAnswer: -3214, -1028, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35646 - -392116\/11. Factor 48\/11 - 2\/11*l**2 - q*l.\nAnswer: -2*(l - 3)*(l + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42210022 (base 6) to base 7\nAnswer: 13311524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 28*u = -450. Suppose s - y = -3*s + u, 198 = 5*s + 4*y. Solve -4*x - s = -22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:27 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4)*2)\/(54\/72)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*h + 35, 3*k + h = 19 + 66. Calculate the remainder when 636 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -468\nAnswer: 1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2. Let a = 252 - 215. Let j(h) = a*h**2 + 34*h**2 - 66*h**2. Give j(g(k)).\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 18. Let p be k(-13). Let t(i) = 3*i**3 - 6*i**2 - 3*i + 5. Let h(l) = -2*l**3 + 5*l**2 + 2*l - 4. What is p*h(x) - 4*t(x)?\nAnswer: -2*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 5, 71, 4, -2 in descending order.\nAnswer: 71, 23, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2598)\/24*(4 - 0)\/(-1). Let v = 465 - j. What is the smallest common multiple of 44 and v?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138992 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5.2. Let z = -1.7 - l. Which is the biggest value? (a) -1 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m + 5. Let c be 1\/(32\/(-34) - -1). Let n(u) = -20*u + 14. Calculate c*x(w) - 6*n(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -4*m + 22. Factor 14 - 18*w**2 + 15*w**4 - 1 - 9*w**3 + m*w**2 + 9*w + 11 - 23*w**2.\nAnswer: 3*(w - 1)*(w + 1)**2*(5*w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -33\/4, 0.091, 1.2, -18 in descending order.\nAnswer: 5, 1.2, 0.091, -33\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - 4*t + 2. Let h be s(1). Solve -8*x + 0*x**3 - 32 - h*x**3 + 20*x**2 + 0*x**3 - x**3 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2432, 4936, 7440, 9944, 12448?\n\"Answer: 2504*a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s. Let h(d) = 5*d**2 + 15. Determine h(y(m)).\nAnswer: 1125*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, -14, 2, -0.25, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -969*p - 245*p - 590*p as u*p + r and give u.\nAnswer: -1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 447. Calculate the smallest common multiple of 60 and g.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * -0.119646\nAnswer: 0.0299115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1011 - 1016. Let o(y) = -y**2 - 2*y + 21. Give o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341276 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290247 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*h + 0*h + 5*h + (1 - 6 + 0)*(-7*h + 0*h + 2*h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 + 0*t**2 - 4*t**2 + (39*t + 73 - 73)*(3*t - 4*t - 3*t))*(5 - 5 - 3) as g + v*t**2 + l*t and give v.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k - 517 - 4*k + 517.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-758)\/(-170) + (-39)\/(3900\/40) + -4\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29987021392 plus 633?\nAnswer: -29987020759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 x when three letters picked without replacement from {d: 3, f: 1, e: 1, l: 6, x: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 85*b + 765. What is p(-74)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (1584\/21)\/8*7. Let x be 2\/6 + 347\/3. Let u = m + x. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 - -4)) + 8 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 20*b. Let o(w) = -32 - 84 + 15*w - 13*w - 29 - 23. Calculate h(o(c)).\nAnswer: 40*c - 3360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p**2 - 41*p + 1. Let a be c(6). Solve -a + 43 = 12*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 4. Let y(q) = 7*q + 55. Let o(f) = -11*f - 88. Let l(w) = -5*o(w) - 8*y(w). Determine p(l(n)).\nAnswer: -7*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23233 + 1?\nAnswer: 23234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -291*n + 4408. Calculate p(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 2*k + 11. Let i be (38 - 34) + (0 + 1 - 0). Give v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1189424 - -1189424. Find v, given that k + 1\/4*v**2 - 3\/2*v = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55553 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, -31, -85, 782 in ascending order.\nAnswer: -85, -31, 2\/7, 2, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - y + 12 = 0, 2*y + 0*y + 12 = n. Suppose 4*r = -n*o + 52, -o - 44 = -3*r - 5*o. Let a(x) = x**2 + 1. Is a(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkklllkklekkkkkkk. What is prob of sequence kl?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o + 10*o - 4*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 2. Let o(j) = 85*j + 25. Let m(i) = -25*h(i) + 2*o(i). Let z be m(-6). Let k = z - 6. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 0.2, 5\/7, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149107 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - (-10 + 1) - 33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-27)\/(-11))\/(-9 + -4 + 16). Let y be (1\/(-2))\/((-6)\/(-4)). What is the closest to y in -0.1, b, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(2*k**2 + 2*k**2 - 3*k**2) + (1 - 7 - 6)*(0*k**2 - 4*k**2 + 2*k**2).\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1038069 and 5\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -76*y**3\/3 + 185*y**2\/2 - 22*y - 3. Differentiate g(f) with respect to f.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*r + 6*k - 33, -5*r + k - 29 = 0. Suppose -4*z = -6*z - 4. Let s(n) = -n**3 - 5*n + 5. Let h(i) = 2*i - 2. What is r*h(t) + z*s(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -236 in 21, -0.2, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5786125 divided by 1129?\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 200737 divided by 47?\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 58. Suppose -c = -24*l + 23*l. Solve 2*w - 26 = l*u + 4, 0 = -w + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 6)\/((-1176)\/192 + 43\/344).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364053?\nAnswer: 3, 121351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4*w + 11. Let a be q(0). What is the closest to -1\/4 in 5, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from {w: 1, y: 4, t: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -2\/3, -1\/7 in increasing order.\nAnswer: -2\/3, -1\/7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Suppose 7*b = 9*b - 6. Let q be a*(b - 24\/10). Solve 2*w + 3*m - 5 = -1, -5*w = -q*m - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -36*d + 4. Let b(p) = -p**2 - 31*p + 18. What is the lowest common multiple of b(-31) and v(-1)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 9, 10, 0.04, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (11 - (28 - 15)) + -61\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33738 - 169869\/5. Let y = 143 + 92. Let w = y + k. Which is the smallest value? (a) w (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -146, -232, -206, 16, 518?\n\"Answer: 14*u**3 - 70*u**2 - 2*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.046914cm to kilometers.\nAnswer: 0.00000046914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*j = 109 + 46, -3*w + 3*j + 93 = 0. Calculate the remainder when 119 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:24 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bxwsxibsslsblxxxxb.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, 6.\nAnswer: -4, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129591 + 234630. Is 1\/(c\/(-13131) - -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) -1\/6 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 88 = -4*y, 886*y + 74 = 882*y - 5*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(5\/9)*r))\/(r**8\/r) assuming r is positive.\nAnswer: r**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/3 - 241392*y**3 + 10921055420*y**2 + 1246046247512*y\/3.\nAnswer: 4*y*(y - 90541)**2*(y + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025527 to four dps.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = 0, -6428 = -6*x + 5*x + 5*u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*k - 5 - 282 = 225. Factor 8\/19*w**k + 6\/19*w**3 - 4\/19 - 2\/19*w.\nAnswer: 2*(w + 1)**2*(3*w - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196255017 by 21806113.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12000 and -2?\nAnswer: 24000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -73*-2*1\/2 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23837478 by -58.\nAnswer: -410991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 905, 1106, 1347, 1634, 1973, 2370, 2831?\n\"Answer: c**3 + 14*c**2 + 152*c + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30239?\nAnswer: 11, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {j: 9, w: 1, y: 1, g: 3, n: 4}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 288*u + 2364. Calculate w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642591.9m to micrometers.\nAnswer: 642591900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 195\/(-6)*(-1 - 0). Let f = 33 - p. What is the third smallest value in f, -2\/5, -1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 6*h - 12. Let w be f(-8). Let m be (-272)\/w + (-2)\/(-7). Suppose 0 = m*q - 5*q - 15. Solve 4*y + q*u - 22 = 0, 8 = 7*u - 3*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 120001?\nAnswer: -120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 172, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f + 2*m = 37, 0 = -2*f - 4*m - 14. Is f >= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/8981 and -61\/14?\nAnswer: 17962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1403700 to the nearest ten thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let j = -2 + a. Solve 5*u = -4*d - 33, -2*d - d - 2*u - 16 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*b + 27*b**2 - 46*b**2 - 455*b**3 + 173*b + 19*b**2.\nAnswer: -455*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/9)*d\/(d**(-1\/12)\/d)*(d**(2\/7))**(-2\/19) assuming d is positive.\nAnswer: d**(9299\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*y + 11 + 5 = 0, -2*s = 3*y + 4. Let b = -0.66 - -0.06. Let m = b - -0.1. Sort s, m, 3.\nAnswer: m, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t. Let o(c) = -2*c**2 - 1847*c. Determine v(o(l)).\nAnswer: -28*l**2 - 25858*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-30)*530\/636.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 49*p**2 + 63*p. Let n(o) = -o**2 - o. What is 126*n(a) + 2*u(a)?\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 680 or -294?\nAnswer: 680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(11) + sqrt(33)\/(1*sqrt(3)))*-6 - (3 + (sqrt(99) - sqrt(99)*2))**2).\nAnswer: -24*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 587, 553?\nAnswer: 553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 8, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/9*3*1. Suppose m - p = -0. Suppose s = m*s. Solve -16 = 4*l - s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97\/6*z**3 + 5\/3*z**2 - 5\/3*z**4 - 16*z + 0 - 1\/6*z**5 = 0. What is z?\nAnswer: -16, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/19224774 and -43\/97464.\nAnswer: 76899096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Suppose -2*l = -o - 16, -2*l - t*o + 26 = o. Calculate the highest common divisor of 81 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.34 in -55, 3\/4, -2\/9, 2\/7, -0.05, -1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*1)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 7) to base 16\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31618.497246507 + 1.799686507. Let w = -31616 - t. Let o = 0.7 - w. Round o to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.147 - 0.047. Suppose 3*c - 9*c = 0. What is the second biggest value in -4, c, -1\/11, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 634, 2642, 4658, 6682, 8714, 10754?\n\"Answer: 4*n**2 + 1996*n - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:45 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {d: 1, g: 4, b: 2, u: 1, z: 2, i: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05676*94312.\nAnswer: -5353.14912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 + 151 - (8 - 26).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 32 = 4*s, -105*s = -110*s - 4*h + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + 18a86?\nAnswer: 18a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*v**4 + 2*v**3 + 209189*v - 14562200.\nAnswer: 76*v**3 + 6*v**2 + 209189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*a + 187 = -3223. Which is greater: a or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87483*t**2 - 87416*t**2 + 174878*t**2.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 60 = l. Let r be -6*10\/l + 4. Suppose r*x + 38 = d + 4*x, -d - 5*x = 7. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 + 3*i + 14. Let k(p) = 34*p**2 + 8*p + 41. Let a(f) = 4*k(f) - 11*v(f). Let j be a(0). Solve j = -3*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 16\/7)\/((-6)\/(-21)). Let l = x + -6. Which is the smallest value? (a) -0.1 (b) -4\/9 (c) 2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by -21\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*n = 52, -3*z - 4*n + 106 = -34. Let v = z + -42. What is the closest to -1 in 4\/5, v, -0.06, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-81)*2\/(10\/(-3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180261 + 360579 - 180318 + 2*x**2 - 13*x**3.\nAnswer: -13*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*f**3 - f**4 + 26*f**3 - 56*f**3 + 2*f**4 + 2*f**2.\nAnswer: f**2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1548, -418, -2400, -4404, -6436, -8502?\nAnswer: -10608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*o - 12, 25401*o - 25400*o = 7*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667000 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 123245*k**5 + 12338630*k**4 + 1290160*k**3 - 12298130*k**2 - 1413405*k - 40500 = 0.\nAnswer: -100, -1, -9\/157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Let r = -3 + v. Which is the second smallest value? (a) r (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-42.56\nAnswer: -47.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00115779 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 0, 8, 5 in descending order.\nAnswer: 8, 6, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Let m be q(7). Suppose u - m = -2*a, 0*u + u + a = 10. Differentiate -u*n**4 - 13*n**4 + 8*n**4 - 11 with respect to n.\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.073 + -52.073. Let j = 49 + f. What is the third smallest value in j, 0, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 63643992*w\/5.\nAnswer: 2*w*(w - 31821996)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 179, 319, 447, 563, 667?\n\"Answer: -6*m**2 + 158*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372859 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: Convert 573822 (base 10) to base 13.\nAnswer: 171252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 733.71225 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -322, 4, 41, 40, -2\/37.\nAnswer: -322, -0.3, -2\/37, 4, 40, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -88?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 12. Let v = -11 + r. Suppose v + 13 = 4*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (3 - 4) - 2. Let n be (8\/10)\/(3\/15). Solve 2*j + 3*l = -9, -3*l - c = -n*j + 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 + 6*h + 121. Let f be o(-13). What is f rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4*p**2 + 31*o**4 - o**3*p - 3*o**2*p**2 - 30*o**2 - 3*o wrt o?\nAnswer: -24*o*p**2 + 744*o - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:56 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 - -144. Let u = 0 - -1. What is the remainder when u is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s, 4*s = 3*q - 6*q + 329. Let u be ((-66)\/(-5))\/((-3)\/(-15)). Let y = q - u. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*u - 12 = 0, 0 = -0*i + 4*i - 5*u + 20. Let t be 2\/9 + (-1780)\/(-90). Suppose -2*m = -5*m. Solve 5*o + i + t = m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 4) to base 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1100 + -1303144?\nAnswer: -1304244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - m**5 - m**4 + (m - 35*m - 3*m)*(6*m - 3*m - 2*m)*(m + 4*m**3 - m).\nAnswer: -149*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*u - 450, -8*u + 747 = 5*c - 12*u. Which is bigger: 7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 171, 247, 323?\n\"Answer: 76*j + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:38 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 1, s: 1, r: 1}. Give prob of sequence rs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*w**4 - 3*w**2 + 227*w + 54263 wrt w?\nAnswer: 44*w**3 - 6*w + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8853*d**4 + 2*d**3 + 10*d**2 + 431*d - 5123?\nAnswer: 106236*d**2 + 12*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(3 + 1 - 2)*(-s**5 + 0*s**5 - 6*s**5).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 25, -4*y - 41 = -6*y - 3*v. Let x(c) = -9 - 5 + y. Let u(w) = -w + 2. Let n be -2*(0 + -1*1). Give n*x(d) + u(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3\/2 - 1683*k**2 - 10155*k\/2 + 16875 = 0. What is k?\nAnswer: -5, 2, 1125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 4 + 2889*k**2 + 13 - 2888*k**2 + 5*k. Give q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 17. Let n(t) = -t**2 + 2*t + 12. Let u be n(5). Let x be v(u). Solve -5 = x*r - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvqxeevvuqxqr. Give prob of sequence vvu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 4. Let a be m(3). Suppose 4*o + 4*j = -j - 52, -5*o = -2*j + 32. Let x = a - o. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 - (91 - (-101 - -214))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -542015305?\nAnswer: -542015305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67469.\nAnswer: 19, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (219067\/(-237))\/(-59) - 16.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -f + 43, 98 + 99 = 4*u - f. Calculate the highest common divisor of 208 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -1044?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y**2 + 14*y - 14. Let b(z) = -z**2 + 13*z - 1. Let u(r) = 2*r**2 - 32*r + 2. Let m(p) = 5*b(p) + 2*u(p). What is -56*m(l) + 4*w(l)?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h = 8, h = 23 - 25. Suppose -2551 = -3*y - 2*o, -u*y - 3*y - 3*o + 4252 = 0. Is 48 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/39*(27\/(-6))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2711\/5 - -540. Let v = z + 72\/35. Let k = 24 - 95\/4. What is the third smallest value in -7, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 33. Suppose -y + 21 = 13. Let j(d) = -5*d + 49. Let g(k) = y*r(k) - 5*j(k). Let w(t) = -t**2. Give g(w(v)).\nAnswer: -v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 4. Let n(l) = -7*l. What is n(q(x))?\nAnswer: -21*x**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.58. Let n = -4.3 - -4.68. Let y = n + u. Which is the nearest to 2\/5? (a) 2 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/7, -19\/4, -4, -0.03?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1884, -1878, -1868, -1854, -1836, -1814, -1788?\n\"Answer: 2*c**2 - 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 4*d - 16, -28*d = k - 29*d - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 17.5, -1\/7, -6, 12, -19, 2\/7?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158.8 - -159. Let h = -20.75 - -21. What is the biggest value in h, -0.5, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207.1 - 89. Let c = b - 118. What is the biggest value in 0, 0.2, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -766\/9?\nAnswer: -766\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -12134?\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 11*g + 15*g)*(-1139 + 1139 - 439*g**2).\nAnswer: -3512*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:39 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -362986)*-1*1. What are the prime factors of d\/(-1175) + 2\/25?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {b: 2, j: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(1\/6)\/f))\/((f\/(f*f\/f**7)*f)\/f))\/(f*(f**(1\/2)\/f)\/f*f)**(-1\/17))\/((f**(-2)\/f)**(-28)*f**(-4\/7)\/(f\/f**3)) assuming f is positive.\nAnswer: f**(-31975\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -84. Let d(x) = -12*x**3 - x**2 - 3*x + 2. Let s be d(c). What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(1701\/14)*(-9)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 1, -4, 43, 6.\nAnswer: -73, -4, 1, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352264 and 46.\nAnswer: 8102072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -63.7. Which is the closest to -0.1? (a) -8 (b) g (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(35)\/sqrt(5))**2 - (sqrt(343) - (-1 + sqrt(343))**2*-4).\nAnswer: -1206 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4951035 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825176167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-3) + -2)*1. Which is bigger: -0.14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/9 (b) -5 (c) -2 (d) -1.3 (e) -227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.81615351?\nAnswer: 2.81615351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 1, r: 1, n: 4, f: 2, j: 4}. Give prob of picking 1 n, 1 f, and 2 j.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.66 - -0.04. Which is the third smallest value? (a) l (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 7. Let k be m(7). Suppose -a + k*a = 0. Let n = 783\/2563 - 50\/233. Is a equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2211 - -5643281.3?\nAnswer: 5643281.5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 4*u - 2. Let l be j(-4). Let r be 3\/(-1 - 2) - l. Let c be (r + -3)*(2 - 3). Solve 3*d = c*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2256 in ascending order.\nAnswer: -2256, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 55*y**2 - 14*y - 9. Let t(d) = -3*d**3 - 108*d**2 + 27*d + 18. Let o(m) = -5*c(m) - 2*t(m). Calculate o(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 9871*u**3\/6 - 1889*u**2 - 361*u + 5. Differentiate x(s) wrt s.\nAnswer: 9871","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244648057 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*12.1089\nAnswer: 4.84356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8)*(-6 - -34). Suppose -2*v + h = -v - 3, h + j = 3*v. Solve 2*a = 2 + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 - 6*d + 9. Let j(s) = s**2 - s + 1. Suppose 3*r - 2*p - 13 = -0*r, 0 = -2*p - 10. Let c(q) = r*n(q) - 5*j(q). Does 3 divide c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 - 150. What is the units digit of ((12\/g)\/(-2))\/(2\/(-2430))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2, 1.8, -1.2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 70?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3*b**2\/2 + 2*b + 80. Let c(r) = -3*r. Give f(c(h)).\nAnswer: 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1204, -2387, -3570, -4753, -5936?\n\"Answer: -1183*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 - -3 - (-4)\/(3 + -4). Suppose -1570 = o*t - 15*t. What are the prime factors of t?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294)*3)\/sqrt(6))\/((sqrt(7) + sqrt(7) + (-2*sqrt(7) - sqrt(7)))*5).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Let z be (2 - 15\/a)*10. What is the highest common divisor of z and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39252723?\nAnswer: 3, 13084241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398\/5*(-10530)\/(-234)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3429493*o**2 + 5003402*o.\nAnswer: 6858986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 39489409.\nAnswer: 4\/39489409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 - 468.2. Let a = 353 + w. Let f = a + -103. Round f to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = 3*z + 10, 0 = 4*z - 4*p. Let k be (-1041)\/(-45) + z\/15. Let q be k\/5 - (-2)\/5. Solve 0 = -2*s - 3*r + 20, 5*s = 4*r - 1 + q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/108*(320\/(-75))\/16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 1 + 4*sqrt(125))**2.\nAnswer: 42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 3*g - 4. Calculate l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 - 71*a - 89 in the form g + j*a and give j.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -28. Let r(m) = 212*m + 3610. What is the least common multiple of r(-17) and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from jjhhxoooxyoooojxm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 33 + 85*o**2 + 0*o - 2\/3*o**3 - 29\/2*o**4. What is the second derivative of y(v) wrt v?\nAnswer: -348*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16*x + 2. Let d be g(4). Let v be ((-7)\/((-21)\/18))\/2. Suppose 0*f = v*f - 18. Calculate the greatest common factor of d and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*a - 4*n + 134 = 58*a - 617, 3*n + n - 51 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6*g - 1. Give i(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/1975 and 31\/13650568?\nAnswer: 341264200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzrx when four letters picked without replacement from {z: 2, l: 3, r: 1, g: 9, x: 2}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 17*r + 1. Let c be a(-4). Suppose -14*q + c = -13*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:48 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2114 times -2.96\nAnswer: -0.625744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 18 - (-2 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*z + 8 = 0, 8 - 4 = -s - 5*z. Does 4 divide s\/10*120\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(148\/1184).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1, 18 in decreasing order.\nAnswer: 18, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 308437.4l?\nAnswer: 308437400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -5.13. Let k(p) = p + 13. Let c be k(-9). What is the smallest value in g, c, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -174 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c. Let y(h) be the second derivative of h**4\/6 + h. What is y(v(f))?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 35*x = -74*x + 100. Let r be 1 + 262 + 1\/1. Let m = r + x. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f = 30*f + 18. Let m(u) = -1 + u**2 - 2*u + 3 - f + 2. Let d(w) = w**2 - 3*w + 1. Let x = 2 + -5. Calculate x*m(c) + 2*d(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72392, 144852, 217352, 289904, 362520?\n\"Answer: 2*l**3 + 8*l**2 + 72422*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16027610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*d, 2*g - 2*d - 3 = -7 - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*-12*(85\/(-20))\/(-17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28567*b**2*g*p**2 + 451*b**2*p + 41*b*g**2*p**2 - b*g**2*p - 217*b*g**2 wrt p?\nAnswer: 57134*b**2*g + 82*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**2 + 374*q - 69 wrt q?\nAnswer: -2*q + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:15 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2 + -17 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 + -0.08. Let u = -303.157 + -0.743. Let g = 304 + u. What is the closest to g in x, 7, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -775, -1770, -3169, -4972?\nAnswer: -7179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11261 or 1?\nAnswer: 1\/11261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/27361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 5*t**3\/3 - 3*t**2 - 3*t. What is the remainder when n(6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 10*m**2 - 12*m - 22. Let r be y(-9). Suppose -5*s - 15 = q, 3*q + 2*s - 9 = r*s. Solve q = -8*a + a - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17 and -1601842?\nAnswer: 1601841.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 484196*t**2*y**2 + 42664*t*y**2 - 2*y**2 + y wrt t.\nAnswer: 968392*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 397404 and 206836?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*d - 341916. Suppose -g - g - 3*s - 170961 = 0, d = -g - 2*s. Is g\/(-135) - 4\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - (33 + 18)) + (6 - (0 + 0)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 94747708428 and -0.898.\nAnswer: 94747708427.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/4)\/r*r**(-1\/2)*(r**(-11))**14 assuming r is positive.\nAnswer: r**(-619\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -103. Let d be 136\/5151*3\/4. What is the biggest value in 1\/2, t, d, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4158 divided by 5.\nAnswer: -4158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 135 = -5*v. Suppose 2*m + v - 138 = 0. What is the remainder when m is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34203*l**3 + 127*l**5 - 11 + 34203*l**3 - 4*l wrt l?\nAnswer: 2540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11695 = -2*x - 3*j, 3*x - 2*x + 5835 = j. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 839752 or 839242?\nAnswer: 839242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/20? (a) -1 (b) 2\/7 (c) 50 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258568 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383973741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2220567400 to the nearest 1000000.\nAnswer: -2221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-4 - (-350)\/84). Solve 2*l - 10 = -5*w + 7*w, 3*w - 5*l + 19 = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/77? (a) 1\/2 (b) -2\/17 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -0.2, -2.4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 7\/((-7)\/(-15)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y - 8*y + y)*(-13 + 2*y**2 + 3*y**3 - 4*y**3 + 3) in the form s + n*y**4 + i*y**2 + t*y**3 + b*y and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20233 - -113?\nAnswer: 20401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 72883.4008 to the nearest 100.\nAnswer: 72900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + g + 2. Suppose 10 = 5*b - 2*o, -4*b + 5*o = -b - 6. Let x(t) = 2 - 3 - 3*t**b - t**2 + 3*t**2. Determine -2*c(f) - 5*x(f).\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 3*m + 21. What is the tens digit of c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/2 + 102*s**2. Let v = 26 - 48. Suppose 0 = 30*t - 2017 + 1957. Let p(h) = -h. Calculate t*z(m) + v*p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:41 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(15\/6) + -1. Calculate the least common multiple of 10 and 27\/1 + (2 - v).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 14*b**2 + 20*b + 86. Let q be u(-6). Solve 35 = -q*n + 45*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 3*d**3 - 25 - 2*d + 51 to the form m*d**3 + r + c*d + t*d**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3179 + -3174. Solve j*b = -54 + 64 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8)\/10*200\/(-48)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -39 - 16. Suppose 0*v - v = 3*k - 10, -2*k - v = -5. Suppose -k*f + 0*f = -r. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -106971640, -213943273, -320914906, -427886539?\n\"Answer: -106971633*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 + -12?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**4 + 262*d**2 + 2200*d wrt d?\nAnswer: -72*d**2 + 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(11) + 2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/37942278 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-22))\/((-3770)\/(-40716)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**2\/2 - 6*z + 218. Give r(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2) + (3 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68b (base 13) to base 9.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23760913457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 267193 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: Let t(g) = -11*g**3 - 4620*g**2 - 8*g + 48. Let s(i) = -7*i**3 - 3080*i**2 - 5*i + 30. Calculate 8*s(r) - 5*t(r).\nAnswer: -r**3 - 1540*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -44, 4, -5 in decreasing order.\nAnswer: 5, 4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.1, 0.184, -0.2.\nAnswer: -0.2, 0.1, 0.184, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/23)\/(((y\/(y\/(y\/(y*y**22))*y))\/y)\/y*y))\/(y*y*y*y**(-23\/5))**(2\/85) assuming y is positive.\nAnswer: y**(236668\/9775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12739 + -12778. Which is bigger: -18 or a?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 1. Let n be x(1). Let l = -66 + 69. What is the derivative of 4*p**n + 4*p**3 - 5 - 5*p**3 - p**l wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usspsupsu. Give prob of picking 1 s and 1 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4971 + 41*a**3 - 37*a**3 + 4971.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5747773280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - -4 - (-2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/24 + g**3 - 7*g**2. Determine k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*5\/(20\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*a - 125*a - 3*f + 30 = 0, 5 = -3*a + 4*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27958, -27982, -28006, -28030?\n\"Answer: -24*p - 27934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/(975\/(-10)))\/(5\/(-6) - -1). What is h in 2\/5 - q*h**2 + 2\/5*h**4 - 4\/5*h**3 + 2\/5*h**5 + 2\/5*h = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 greater than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 + 2886*j**4 - 74276*j**3 - 240154*j**2 - 245931*j - 82940 = 0.\nAnswer: -1, 29, 2860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(25\/(325\/494)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 32 - -41) + -21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20925 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -3)*225\/(-2)*11. What is the remainder when (-4)\/(-7) - i\/(-77) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203411000?\nAnswer: 2, 5, 13, 15647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 1, a: 3, c: 1, y: 3}. Give prob of picking 1 y and 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 4*((-440)\/112 + 4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 1, j: 2, m: 4, g: 3}. What is prob of picking 1 y and 3 g?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from czczzjpqzjzkjjj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -7, -2, -16, 125\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, 0.253, 6, 1, 1\/5 in descending order.\nAnswer: 6, 3, 1, 0.253, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3087.5486 to the nearest ten.\nAnswer: -3090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 - 1375*x**2 + 30530*x - 162800 = 0. What is x?\nAnswer: -296, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1325013 times -5\nAnswer: 6625065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:27 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 104011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -5420, -1, 264, 0, 8 in ascending order.\nAnswer: -5420, -4, -1, 0, 1, 8, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*((-1 - 1 + 0)*(2*j - 2*j - 2*j) + 46403 + 328*j - 46403)*(-1 + 1 + 1) to f + a*j and give a.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 128. What is the tens digit of (-7)\/(14\/d) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15620 is divided by 1097?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16876 divided by 16876?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3082560 divided by 247\nAnswer: 12480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 6. Let r be b(10). Let k be (36\/r)\/((-3)\/8). Let o = k - -44. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 - -5) - (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 64, 75, 66, 31?\n\"Answer: -k**3 - k**2 + 35*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -87354 and -87354 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -244 from 25.97.\nAnswer: 269.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9982*c - 5487. What is the hundreds digit of j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 44 = -4*r - 15*t, -2*t = -5*r + 22 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10554 - 5752. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t**2 - 10*t - 41. Give a(-3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2. Let j(z) be the third derivative of 0*z**3 + 0*z + 2 + 23\/24*z**4 - 53*z**2. Calculate v(j(k)).\nAnswer: -4232*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15075 by 603.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 3*p**3 - 2 + 152*p - 457*p + 149*p + 155*p - 18*p**2 to the form b*p**3 + l*p**4 + a*p**2 + q*p + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 63. Suppose -1 = -3*l + i, -10 = -3*b - l. Is (0 - (-75)\/b)*(-80)\/(-25) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10523*d - 52807. Determine b(-5).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/90*(-75)\/30.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 + -5.42. Let j be 2*-1 + (-21)\/(-9). Which is the closest to -2? (a) -2 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and 607.63.\nAnswer: -133.6786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmmm when four letters picked without replacement from mmhmmmmmmhmmm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 51\nAnswer: 5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3123 = 351. Is b a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 - 3 - 35*o**3 - o - 33*o**3 - 32*o**3 + 137*o**3 - 35*o**3. What is k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) + (-9)\/(-2). Let y(k) be the first derivative of 1\/2*k**2 + 2 + x*k. What is the first derivative of y(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.7. What is the closest to 0.2 in -3, 2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1539*n - 36 + 12 = -1547*n. Solve -n*c - 21 + 33 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 67. Let j = -584 - -586. What is the third biggest value in d, j, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3304 and 81060.\nAnswer: 9565080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.28 and 1208578.\nAnswer: -2755557.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 - 203. Calculate the remainder when 181 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1021 - 821. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15*q + 10*q + 32 = 0, -3*q + 10 = -4*h. Let b = -0.042 - 0.358. Sort -3\/4, b, -14, h.\nAnswer: -14, -3\/4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1\/15)*b**(7\/3)*b*b**(-7)*b*b**(-31) assuming b is positive.\nAnswer: b**(-163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 338\/95 - (-4)\/(-10). Let p = v + -578\/171. Let n be ((-185)\/(-30) - 6)\/1. Which is the third biggest value? (a) -2\/19 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p**2 + 30*p - 36. Let l be k(6). Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 8*o**4 + 3 - 3*o**3 - 6 + 2*o**4 + 1 to i*o**2 + u*o**3 + k + h*o**4 + t*o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 + 0 = 0. Let u = v + 1. Let c = 4 - u. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let t = 51 - 48. Let j(p) = t*p**2 + 0*p**2 - 5*p**2 + 0*p**2. Calculate u(j(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 2. Let g(q) = -2*q**3. Suppose 0 = -l + 5*l + 4. Let u be g(l). Let b be 32\/6 - u\/6. Calculate n(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 7. Let h(m) = m - 4. Calculate 7*h(j) - 4*y(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -23 + -2 + 0 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3256454 by 2.\nAnswer: 1628227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13*d + 17*d - 23 = 0, 0 = 12*h + 3*d + 39. Let j(b) = -b + 1. Let g(o) = -4*o - 6. Let a(n) = -g(n) + 3*j(n). Determine a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 2*i**2 - i**2)*(-5*i - 49*i - 4*i)*(-9*i - 59*i + 10*i) as g*i + a*i**3 + t*i**4 + r + v*i**2 and give t.\nAnswer: -6728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-31)\/u*u**(11\/6)*u**10\/(u**(-1\/6)*u) assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -22. Let g(p) = p - 6. Let u be g(7). Let j be (0 + u)\/((-13)\/(-364)). What is the greatest common divisor of j and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/117 and 35\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*u = 21 - 54, 96 = 4*t - 4*u. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u + 447 + 1454 + 192 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230485196 by -113.\nAnswer: 2039692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let m be (-1 - -4) + (-4 - -3). Suppose -38 = -5*s + 7. Let r(u) = 6*u**2 - s*u**m + u**2. Give z(r(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -24*b**2 - 5*b + 7. Let t(q) = 23*q**2 + 4*q - 8. Let f(z) = -4*d(z) - 5*t(z). What is the first derivative of f(g) wrt g?\nAnswer: -38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(9\/30 - (11 + -1 + -10)). Find c, given that -32\/3*c**4 + 0 - 4\/3*c + m*c**2 - 16*c**3 = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Suppose -28*x + 14*x = 84. Let s = 158 - 157. Let t(z) = -z - 3. What is s*t(h) + x*a(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70357, 70355, 70351, 70345, 70337, 70327, 70315?\nAnswer: 70301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 3) + 1 - -3. Let t be -10 - 1\/((-2)\/a). Let z = t + 11. Solve n + 13 = 5*x + z*n, -3*x + 4*n + 13 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.62 - 24.62. Let k = 985 + -1003.08. Let u = k - o. Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116927263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 4*c + 2*h - 512, -4*h = 3*c - 825. Let t = c - 194. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.21, 0.4, -917, 2\/3?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*v + 84 = 0, -w - 104 + 20 = -5*v. Let d = -10 - -16. Is (d\/8)\/((-3)\/w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69200.57 centuries?\nAnswer: 83040684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 3807 + 6203 = 0. What is b rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -6161, -1.\nAnswer: -6161, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/36 - (1050\/(-27) - 3). Let j be ((-12)\/l)\/(1 + 66\/(-63)). Suppose -234 = 3*p + j*p. Is 3\/4 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002787761 to 7 dps.\nAnswer: -0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Sort 1, -5, w.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgppppgp. Give prob of picking 1 p and 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*o + 92, -o - 33 = -2*z + 2. Suppose 44 = s + 3*j - z, 5*j = -2*s + 120. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + w = -0*w + 1, 3*c = -5*w - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/21 and 26\/3969.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -33*r - 61. What is the tens digit of q(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnnvnvnnvvvn. What is prob of sequence nnvn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11512 - -3?\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/8 - 14*z**3\/3 - 25*z**2. Let h be i(10). Let g be 34\/85 + h\/(-5). Are g and -1\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 59*u = 50*u + 60, -3*u + 3 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122813?\nAnswer: 191, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*1\/(15\/(-12)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500 divided by -13.\nAnswer: -1500\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -41*t + 25. Let r be p(-5). Let y be 18\/(-45)*r\/(-4). What is the greatest common divisor of 207 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - 320?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 3. Let v(p) = p + 1. Let x(r) = l(r) + 3*v(r). Let w(o) = -5*o - 10*o + 14*o. What is w(x(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/1656)\/(1\/(-2))*8.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12686*-61.\nAnswer: -773846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 2 q when four letters picked without replacement from {o: 1, a: 2, q: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 37 = 23. Let u = 35 - x. Suppose -u = -w - 3*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 - t**2 + 0*t**2 + t - t.\nAnswer: -10*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 0. Suppose d + q*d = 0. Let n = 2 - d. Solve -3*w = -n + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 - 721 - (-13 + 2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(3 + -4) - -5. Suppose v*s + 3 - 18 = 0. Solve 0 = s*d - m - 2*m + 24, 0 = 3*m - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233181, -934709, -2103921, -3740817, -5845397, -8417661?\nAnswer: -11457609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 - 77. Suppose c*l = 84*l + 1216. Is l not equal to -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -34 (c) 1 (d) 1\/2 (e) 95 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7, p: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5*1 - -1) + 0\/(-3). Suppose -5*m + 9*y = 4*y + 15, 0 = 5*m - 2*y. Let a be m\/(-2*1) - 4. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d. Let z(x) = 10*x. Give s(z(k)).\nAnswer: -120*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ils when three letters picked without replacement from cccqsqsisiscssscccl?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 13\/9601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -63*r + 74*r. Solve -2*b - 6 = -r*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = 56*g - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4 - 798*n + 11 + 827*n. Let c(i) = -14*i - 7. Let g(x) = -7*c(x) - 3*o(x). Let d(t) = 32*t + 11. Determine -4*d(v) + 11*g(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5135, -10230, -15325, -20420, -25515, -30610?\n\"Answer: -5095*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665, -1328, -1991, -2654, -3317, -3980?\nAnswer: -4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 - -100100?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + 2 + (-1*sqrt(242))**2.\nAnswer: 11*sqrt(2) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216.2119 - -4.91701.\nAnswer: 221.12891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851845099.\nAnswer: 7, 121692157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (0 - -85)) + 8?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25672*f = 25686*f + 2 - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - -2 - 11 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0577, -223, -0.5, 2\/11 in decreasing order.\nAnswer: 2\/11, 0.0577, -0.5, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 30 - -19 - (2 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 10*q**2 + 11*q + 9. Let c be g(11). Let m = -5 + c. Suppose 8 = y + m. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41\/4 (b) -5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(2 + sqrt(171))*5 + (-1 + sqrt(171) + -3)**2*-3 + -1.\nAnswer: -571 + 57*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 12:24 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -124.07. Let q = -10 - -1. Let f be (-27)\/18*(-8)\/q. Sort t, -5, f.\nAnswer: -5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 22*s**2 + 483 - 9*s**2 - 7*s - 986 + 493 - 12*s**2. Calculate r(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 946 - 1613. Let w = t - -682. Solve -2*g - 3*b + 3 = 0, -g + 0*g - w = -4*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39*((4 - 14\/6) + 1). Suppose -116 = -5*j - 4*i, 3*j - i + u = 8*j. What is the smallest common multiple of j and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3588 (base 10) to base 9\nAnswer: 4826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 140401860 divided by -7020093\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j + 5*g, 0 = -5*j + 2*j + 5*g + 8. Let m(p) = -14*p - j - 17*p + 40*p - 10*p. Give m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2435 divide 561317519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 - 3*p. Let x(z) = -12*z**2 - 4*z. Let w(h) = -11*h**2 - 3*h. Let s(i) = -3*w(i) + 4*x(i). Give 7*n(b) - 3*s(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.2204 micrometers in nanometers?\nAnswer: 667220.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/80 and 55\/212.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 6*j**2 - 7*j + 6. Let m be h(7). Let w = m - 9. What is the units digit of 8*1\/(-3)*w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:32 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -6027?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1\/(-3) - 1\/(6\/(-452))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185\/252 - -1\/63. Let u = -11 - -25. Suppose -u = -3*z + 1. Sort z, 0.03, v in decreasing order.\nAnswer: z, v, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:54 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -24999996*h + 8. Let q be d(-2). Suppose 16*s - q = 11*s. Round s to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 + 0 = 0. Let m(x) = x - 1. Let f be m(q). Is 2 a factor of f\/(-10) - (-44)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*m - 590*m = -24. Let o be 3\/2 - 1\/(-2). Suppose -o*i - 21 = i. Are i and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 17*b**3 - 12 + 4.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000095412811 to 6 decimal places.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 97156.665us?\nAnswer: 0.0000011244984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(2*sqrt(8)))\/(sqrt(432) + (sqrt(432)*-1 - sqrt(432))) - (sqrt(30)\/(sqrt(6)*5) + sqrt(40)\/(sqrt(8)*3 - sqrt(8))))**2.\nAnswer: 7921\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 134, 21, 0.412?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 + -0.04. Let d = -196 - -1370\/7. Suppose 0 = 4*s + 2 + 2. Which is the nearest to s? (a) r (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 51*q - 766. Let z(g) = -17*g + 254. Let b(o) = -6*m(o) - 17*z(o). Let a be b(16). Solve 0 = 7*j + 6 - a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1.8, -0.94, -2, 5?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63282225 divided by -75?\nAnswer: 843763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -48, -2 in ascending order.\nAnswer: -48, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43\/72 - 3\/8. What is the nearest to 2\/5 in -2, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 95969850.6.\nAnswer: 95969850.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10554719 and 4635?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 0, -69 = 2*r - 5*r - 3*v. Suppose 37*l - 34*l = -r. Let m be l\/2 + (0 - (0 + -4)). Solve m*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 142456*n + 142461*n + 24 = 0, 0 = 3*v + 3*n + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f - 1\/6*f**3 + 0 + 7*f**2. Give h(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88780.\nAnswer: 2, 5, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 31*k**3 - 20*k**2 - 10*k - 16. Is r(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6465.146 litres in millilitres?\nAnswer: 6465146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 0.44. Let k = -0.3 + 0.6875. Let h = p - k. What is h rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6020431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*a*c + 13*a*q**2 - 104*a + 3*c*q**2 - 41*c - 53*q**2 wrt a.\nAnswer: -9*c + 13*q**2 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599833, 1199609, 1799385?\nAnswer: 2399161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1425.2*-13.1.\nAnswer: -18670.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6843513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*l + 3*l + 6, 4*b + l - 18 = 0. Let q(y) = -744 + b*y**2 + 368 + 376. Let v(c) = -3*c. Determine v(q(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1296)*1 - sqrt(1296) - sqrt(1296))\/(3*1*sqrt(8)))**2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = 5*n - 26, 0 = 5*n - 2*j - 14. Let t be -76*n\/(-8) + 4. Let f = t - 38. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -380092\/745 and -509 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:32 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 6. Let t be v(-4). Is (-7)\/t*(0 - -2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*m - 25 = 0, 4*m - 58 = -3*y - 43. Suppose -3*c + 15 = -0*c, c = y*d - 20. Solve -19 = d*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*b - 371 + 277*b**3 - 7*b**2 - 280*b**3 + 7*b**2 - 92 wrt b.\nAnswer: -9*b**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(440) + 1*sqrt(440))\/sqrt(10))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1288957.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100696 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 588.3733cm?\nAnswer: 5883733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1400.4 + -1154. Let v = p + -224. Let n = 44.7 - v. Round n to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - -3)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 9. Solve -5*q - 17 + 1 = -d*c, -2*c - 2 = 3*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = 17*l + 66. Let d(i) = 14*i**2 - 9*i + 46. What is the tens digit of d(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5254\nAnswer: -1\/5254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**2 - a + 1. Let n be z(1). Let g = -8 + n. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.774 - 8.604. Let i = h - 38. Round i to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*g = -18, 5*j + 3*g - 5*g - 33 = 0. Suppose 3*p - c = 0, 28*p = 26*p - j*c. Factor 9\/5*v + p - 3\/5*v**2.\nAnswer: -3*v*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let b(i) = 3*i. Let w(o) = -3*b(o) + 4*c(o). Let l be w(-4). What is the second derivative of 15*x**4 - 14*x - 6*x**l + 5*x**4 wrt x?\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1337 - 1337. What is the second smallest value in u, 1, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -6. Let y be (-2)\/(-7) - 24\/v. Suppose -5*p + 25 = 0, y*p - 19 = -3*k + 3*p. What is the highest common factor of 56 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -28*h + 108 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 164 = -2*z, 0 = -3*g + 4*z + 244. Let n = -2 - -14. Calculate the greatest common divisor of g and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 28081*g**2 - 27172*g**2 - 1)*(2*g**2 - 3*g**2 + 0*g**2)*(1 + 0 + 1).\nAnswer: -1818*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.15 (c) -0.133 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 36. Let 4\/3*m**3 + 0*m**4 + 0 - 2\/3*m**c - 2\/3*m + 0*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(4 - -4)*786.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*c**4 + 4*c - 4*c**2 - 2*c**2 - 3*c**4 + 13*c**4 to the form o*c**2 + d*c**3 + z*c + l + y*c**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30642498 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 5. Calculate a(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -773 - -2220. List the prime factors of l.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z. Let q(i) = i. Let t(m) = -d(m) + 6*q(m). Let r(v) = 278*v - 278*v - 5*v**2. Calculate t(r(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 12 - (-48 - -50).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 16. Calculate the remainder when 12 is divided by (-2)\/o - 57\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:34 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6629 plus 1928.0828?\nAnswer: -4700.9172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 10. Let c(f) = 22*f**2 + 284*f**2 - 344*f**2. Calculate c(p(a)).\nAnswer: -6422*a**2 + 9880*a - 3800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 269545*x**2 + 16981325*x - 630.\nAnswer: 5*(x + 63)*(53909*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-5)*n)**(-35)*(n\/(n**17*n))**(2\/19) assuming n is positive.\nAnswer: n**(-5354\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/30)\/((-3)\/54*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2645, 5283, 7921, 10559, 13197?\n\"Answer: 2638*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 20) + 33 + -24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123607.\nAnswer: 107, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9104757131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 125+5.7552\nAnswer: 130.7552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 - 816*i + 41616 = 0 for i.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1872)*4 + sqrt(1872) + 4*(1 + sqrt(1872)) - (-2 + (sqrt(1872) - (sqrt(1872) + -2)) + sqrt(1872) - (sqrt(1872)*-2 + 4))) + 2)**2.\nAnswer: -3360*sqrt(13) + 367012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(2))\/sqrt(2))**2 + (-2*sqrt(48))**2 + -5.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*d + 11 = d, 7 = 3*t + 2*d. Suppose 13 = 5*r - 3*l - 8, 17 = t*r - l. Suppose 0 = -3*i + i - r*i. Solve -3*j + 7 + 8 = i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 192 = 3*p. Suppose -5*m + 21 = -d, -221*m + 216*m - 5*d - 15 = 0. What is the highest common divisor of p and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -86118065.\nAnswer: -1\/86118065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 46864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 13, 18, -60 in decreasing order.\nAnswer: 18, 13, 0, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 12*i - 6. Let a be d(6). Let u = -16 - -20. Suppose -r - q = -6*q - 27, u*q = 2*r - a. Solve 2*b = -v + 2, -2*v - 4 = -b + r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102017599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b + 7. Let l be f(6). Let t = l - 14. Let d(z) = -z**3 + 6*z**2 - 3*z - 7. Determine d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 21*o + 25 = 0. Solve -b + o*b = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1306, 1304, 1312, 1336, 1382, 1456, 1564?\n\"Answer: d**3 - d**2 - 6*d + 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/12)\/(42\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (-31)\/((-1705)\/780) - (-2)\/(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5, 28 = 4*m - 5*s + 73. Let q(r) = -4*r - 2*r - 8 + 1 - r**2. What is q(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1492, -5887, -13172, -23323, -36316?\nAnswer: -52127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*18\/(-36).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 7*c + 1. Let z(k) = k**2 - 4*k - 1. What is -3*g(o) - 5*z(o)?\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161324 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -972468812 or -972468813?\nAnswer: -972468813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s + 0*s)*(-13961 - 13821 + 28514) to the form a*s + x and give a.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139410254.\nAnswer: 2, 61, 1142707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 101, 251, 453, 701, 989, 1311?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(720) - (-3 + sqrt(720))) + sqrt(720))**2 + -3*sqrt(720)*6 - ((0 + sqrt(720) + sqrt(720) + -2)*-4 + -3).\nAnswer: 240*sqrt(5) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*w + 2*d, -3*d - 2*d + 29 = w. Suppose -188 = -w*f - 40. Calculate the remainder when f is divided by (1 + -20)\/(0 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - 18\/(-27). Suppose -5*l - 3*r + 6799994 = 0, c*l - l - 2*r = -1359996. What is l rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d. Suppose -2*v + 26 - 9 = -5*a, 3*v + 2*a - 54 = d. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*u + 474 = 2116, 5*u + 2050 = 5*l. Let i = l - 223. Suppose 0*q - o = 3*q - i, -5*q = 3*o - 308. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53797214 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*(-f**4 + 0*f**4 + 0*f**4) + 10*f**5 - 4*f**4 + 2*f + 3*f**4 - 9*f**5.\nAnswer: 2*f**5 - f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -992769, -1985540, -2978311, -3971082, -4963853?\nAnswer: -5956624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + -12dc?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 50*d**2 + 13*d + 56. What is the thousands digit of r(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 2 + 2)**2 + -1 + -4.\nAnswer: 72*sqrt(11) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5295)\/2118)\/((21\/12)\/((-6)\/15))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*u + 317058 = 7*o, 3*u - 3 = 0. Suppose o = 2*j - 4*z - 76596, j + 5*z - 69990 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -92. Suppose x*l - 18 = -4*m - 0*l, -l = -5*m + 12. Solve -m = 2*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is dae (base 15) in base 2?\nAnswer: 110000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -422, -408, -378, -326?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 5*y - 4. Let d be a(-5). Suppose 3 = l + 5. Let w = l - d. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 11*f + 240. Let a be (4\/10)\/(1\/25). What is the greatest common divisor of f and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 28481744.\nAnswer: 1\/28481744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -62b6?\nAnswer: 62b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045588700 rounded to the nearest 1000000?\nAnswer: -1046000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 8604.\nAnswer: 43020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - (sqrt(125) + -1)) + 5 - (sqrt(125) - (sqrt(125) - (3 + sqrt(125)*-1)))) + (-3*sqrt(125) + -2)*4)**2.\nAnswer: 550*sqrt(5) + 15150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -77.605 + 1.1\nAnswer: -76.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 1214 = -178. Let a be 20\/(-25)*c\/(-1). Let s = a + -119. What is the second biggest value in -1, s, 5\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1803 + 3220. What is the highest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4239 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1261198574 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 878*r + 1917. Suppose i - 3*i + 4*m + 86 = 0, 2*m = -2. Calculate the remainder when l(-2) is divided by i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 10. Suppose -3*x + 15 = 2*w + 3*w, 3*x = 3*w + 15. Let p be (2 + w)\/8*18\/27. Which is the nearest to -0.1? (a) p (b) 2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.9 * 19235.\nAnswer: 132721.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a327 (base 13) to base 2.\nAnswer: 1100011101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33463*r**2 - 2*r**3 - 16929*r**2 - 16979*r**2 + 1.\nAnswer: -2*r**3 - 445*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let q(w) = -w**3 - 10*w**2 + 10*w + 7. Let t be q(-11). Let d(h) = -h**2 + 13*h**2 + 9*h**2 + t*h**2. Calculate x(d(p)).\nAnswer: 78*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2\/19*j**2 + 10\/19 + 8\/19*j = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58623, -58637, -58665, -58713, -58787, -58893, -59037, -59225?\nAnswer: -59463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -128775 (base 11) in base 14?\nAnswer: -53822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 + -1942\/5. What is the nearest to 8 in -5\/2, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2)\/j)**(-49)\/(j**4*(j**(1\/4)*j*j)\/j))**(11\/2) assuming j is positive.\nAnswer: j**(4081\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 9*h**2 + 9*h - 1. Let j be k(-10). Suppose -j = -3*s + 9. Let n(b) = 4 + 2 - s + b. Give n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -o + 394, 0 = -2*s + 4*s + 3*o - 192. Suppose -j + s = 5*q, q + 3*j - 37 = -q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (0\/5)\/3. Suppose 0 = -u - u. Suppose u = -4*x - x. Solve -l*h - 6 + 0 = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179080 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428513.\nAnswer: 53, 45821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23304, -23235, -23166?\nAnswer: -23097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -312, -659, -1132, -1731, -2456, -3307?\nAnswer: -4284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 4 + -121 - (-2)\/(-2). Let m = -102 - b. Solve 2*o + 3*o + m = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1358, 1329, 1250, 1097, 846, 473?\n\"Answer: -4*n**3 - n**2 + 2*n + 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208.3 + -215.3. Put f, -0.1, 3\/2, -2\/3 in decreasing order.\nAnswer: 3\/2, -0.1, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + ((-316)\/2)\/((-2)\/4). Let t(g) = y*g + 12*g**2 - 317*g. Let b(m) = 3*m. What is b(t(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 27617*j**2 - 53*j - 53. Let t be x(-1). Let m = -15826 + t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011110 (base 2) to base 11\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53417853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8055216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89320 a multiple of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let f = -197 - -191.91. Let l = f + 4.09. Put t, l, -2\/15 in ascending order.\nAnswer: l, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*y + 20, -3*q = -4*y + 5 + 7. Suppose d = -4*t + 25, -t = -2*t + 5*d - 20. Let c be (-1)\/(1\/2*(-6)\/(-15)). Sort t, c, y in decreasing order.\nAnswer: t, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 148 + 62 - 10*l - 34. Let z be q(17). Solve 5*n - z*w = -w + 30, 4*n - 5*w - 29 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35525.9234 to the nearest integer.\nAnswer: -35526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 343d2 - 4?\nAnswer: 343cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -38 (b) 2\/11 (c) 0.3 (d) -4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 761308903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303 + 312. Suppose s = -t*s + 80. Calculate the greatest common divisor of 20 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 150 = -815. Let z = i - 186. Calculate the highest common divisor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let u(v) = -4*v - 1 + m*v + 0. Let o be u(-1). Sort 5, o, 0 in descending order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) + sqrt(540)*6*-4)\/(sqrt(120)\/sqrt(250)).\nAnswer: -345*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*c - 58. Suppose -3*o - c = 4*g + o, -5*g - 6 = -3*o. Let j = 368\/15 + -371\/15. What is the second smallest value in g, j, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 1. Let f be l(4). Suppose 36 = 4*y - 2*j, -2*j + 45 = f*y + j. What is the remainder when 42 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + -20 + -48 + 137.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 378196463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 19*t - 6. Solve 0 = t*a + 8, -n - 5*a - 3 = 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 8*u - u)*(-3*u - 2*u + 4*u + (-25*u + 4*u + 11*u)*(5 - 2 - 2) + u + 3*u - 5*u) - 2*u**2 - 2 + 2.\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llqllllqlqll. What is prob of sequence llql?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5193706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/136 + 25\/1224. Let p(n) be the third derivative of l*n**4 + 1\/18*n**3 + 1\/180*n**5 + 0 + 0*n + 3*n**2. Factor p(g).\nAnswer: (g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2314*k. Let v(c) = -3*c + 183. Give j(v(h)).\nAnswer: -6942*h + 423462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4601 and -48770.\nAnswer: 224390770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 3556*o**2 + 77 + 609*o**2.\nAnswer: 4165*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -19 (b) -0.4 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244389679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199431308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5122 - -105?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.848 + 0.152. Let x = 10 + q. Let i = x + -85.00119. Round i to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.2 (c) 6\/5503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*c + s, 3*c + 7*s - 3*s = 13. Suppose -5*f - 4*r + 386 + 3549 = 0, -5*f = -c*r - 3935. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3192945 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 32 + (-1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39376, 37386, 35396, 33406, 31416?\nAnswer: 29426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43257 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.04, 0.1005413, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 w, and 1 a when four letters picked without replacement from {a: 3, y: 1, w: 1, s: 3, h: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -23*s**3 - 2*s + 1. Let o(r) = 83047*r**3 - 2 + 2 - 83049*r**3. Let j(p) = k(p) + 6*o(p). Calculate j(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) 1.819 (c) 0.5 (d) -7.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h*(h\/(h*h\/(h**0*h)*h*h))\/h*(h**(-2\/3))**(-21))**(-4\/13))**4 assuming h is positive.\nAnswer: h**(-160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnqxqxqqxmnxm. What is prob of picking 1 q and 2 x?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - -139. Let w be ((-2 + 2)\/(-2 - -7))\/(-3). Suppose 0 = -4*b - d + 163, w*b - 5*d + 55 = b. What is the greatest common factor of l and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*v**2 - 5?\nAnswer: -98*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 4. Let n = 11 - 15. Give k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36127\/(-35) + 1 + 1. Let k = t + 1023. Find the common denominator of -27\/11 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.05, -12, 0.148, 0.1, -4\/7?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:22 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305 - -365. Let f = 9 + 6. Calculate the highest common factor of j and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29 + 0.29. Let o = 1.5 + -1.8. Suppose -j = -2*g, 2*g + 3 = -5*j - 9. Which is the third biggest value? (a) g (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1058915*a**2 - 886809*a - 9 wrt a.\nAnswer: 2117830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45648 - 11.8001\nAnswer: -45659.8001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (-1 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 78 = -2*a, -97 = -5*f - 4*a + a. What is the lowest common multiple of f and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6127 by 258.\nAnswer: -6127\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let c be (7 - (3 - -2))\/1. Let s(r) be the third derivative of 0*r + 0*r**3 - 4*r**c + 0 + 7\/24*r**4. Calculate u(s(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -7 + 6 - (26 + 0)) + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -68. Let h be (-1)\/(-4) + 3\/k. Let j be -7 + 12 + (1 - h). What is the nearest to 1\/4 in j, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvvrvvjvrrvvr. What is prob of sequence rrr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 5*y + 3, 5*y + 3*x + 6 = 0. Let v = 446 + -3113\/7. Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3275849*c**2 + 184100928*c.\nAnswer: 6551698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -134014?\nAnswer: 134014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2321230, 4642458, 6963686, 9284914?\nAnswer: 11606142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -670*i - 26. Let a be h(1). Let r = 1032 + a. Calculate the greatest common divisor of r and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -124, -402, -946, -1846, -3192?\n\"Answer: -15*p**3 + 2*p**2 - 3*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/9)*r)\/r)**(1\/60)*(r**(-2\/9)\/r)**(-1\/29) assuming r is positive.\nAnswer: r**(136\/3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68833057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/3 + 18938*o**4\/9 - 1100648*o**3\/3 + 15513568*o**2 + 5212032*o = 0. Calculate o.\nAnswer: -3324, -1\/3, 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.384 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -187652.\nAnswer: 187654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15704 + 15762. Solve r*f - 60*f - 2 = -2*u, 2*u = -4*f - 34 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13119437 and -541.14.\nAnswer: -13119978.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 25.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 2. Solve -3 = q*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331 and 9139241.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2.00876098.\nAnswer: -0.200876098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/3 - 280\/33. What is the closest to t in -5, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 3 - 3 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 87, 275, 587, 1023?\n\"Answer: 62*u**2 + 2*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830300 a multiple of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (4*1*sqrt(85)*-5)\/((sqrt(960) + sqrt(960)*1 + sqrt(60))\/sqrt(12))).\nAnswer: -40*sqrt(17)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1405451*z**2 - 257359*z - 38 wrt z?\nAnswer: -2810902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -64*m. Let v(o) = 1322*o**2. What is q(v(i))?\nAnswer: -84608*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348239?\nAnswer: 348239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25324 and 32?\nAnswer: 202592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*g - 28 = 0, g + 7 = -2*r - 0*g. Let f = r - -5. Let h be (-17)\/4 + f\/(-4). Sort -0.3, -4\/5, h in descending order.\nAnswer: -0.3, -4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13.254888 months?\nAnswer: 1.104574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/19 (b) 4 (c) -3\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 0)*(24*o + 13*o - 28*o) in the form d + t*o and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -40. Solve v*a = 7*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - 5415 = -4*g, 6773 = 5*g - 2*w. Is 33 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8354 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 - 139.99. Let n = -1 - p. Let h = n + 2.01. What is the biggest value in -3\/4, h, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 4*m - 600. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7273 times 1.1\nAnswer: -8000.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -153, -128, -61, 66, 271?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + -6. Let f be (-219)\/r*(-121)\/(-6). Let x = f - 637\/5. Calculate the common denominator of x and -79\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -4. Let r = -7 - k. What is the common denominator of 49 and r*-1*2\/22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055 greater than 4193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(153) + sqrt(17)) + -1 + (sqrt(17)*-2 + -1)**2 + 2.\nAnswer: -12*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**3 + 5*l + 5. Let b be c(-2). Calculate the highest common factor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:52 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286*q**3 + 64*q**2?\nAnswer: -1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 14. What is the closest to 0.1 in 1, -1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.45 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 828*v**5 - 225*v**2 - 1 wrt v?\nAnswer: 49680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264032.298 nanoseconds to days.\nAnswer: 0.000000003055929375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 7. Let i = 5 + -8. Let p(j) = -2*j**2 - 3. Let c be ((-8)\/(-6))\/(5 + (-714)\/144). Let r = c - 25. What is i*m(y) + r*p(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 495033 and 231?\nAnswer: 495033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*20\/5. Suppose -4*x = -3*m - k - 7, 2*x - 10 = -4*m. Let d(s) = 169*s - 5910. Let r be d(35). Solve -6*o - x = -r*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041*f - 25872 = -1063*f. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145137698 to the power of 1\/2, to the nearest integer?\nAnswer: 12047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 - 20. Let q(c) = c**2 + 1. Let v(k) = -i(k) - 4*q(k). Let l be v(0). What is the greatest common factor of 144 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63214725 divided by -26025\nAnswer: 2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (7 + -8 + 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 23 + (-3 - -3). Suppose 6 = -3*v - i - 17, s = -4*i. Is (v\/(-5))\/(45\/750) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121144 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: Rearrange 23 - 23 - 28*n to v + b*n and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182615.\nAnswer: 5, 36523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10820612 and 222124?\nAnswer: 75744284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 2, n: 1, b: 2, x: 3, w: 2}. Give prob of picking 1 n, 1 d, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (249\/1)\/((-2)\/((-16)\/12)). What is the common denominator of ((-81)\/54)\/((-202)\/g + 1) and 139\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 37 = 7*p - 124, 5*p = -4*m + 52 - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 126894.\nAnswer: 13\/126894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.75 - 1.\nAnswer: 93.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {o: 1, s: 3, e: 5, w: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 44*u**2 - 34*u + 55. Is w(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -25. Let y = 11 - i. Let w(s) = -s**3 + 2*s**2 + 3*s + 3. Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k + 3. Let y(l) = 611*l - 205*l - 204*l - 201*l - 1. Give p(i) + 3*y(i).\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15275 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3618312?\nAnswer: -7236624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 28*h - 3*p - 32, 4*h - 340*p = -337*p - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 4\/7, 3\/80, 3, -13333.\nAnswer: -13333, -0.08, 3\/80, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -14. Let h(m) = -m + 10. Let f be h(5). Suppose f*c - c = w. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4297*-5771.6\nAnswer: -24800565.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(484)\/(sqrt(1100)*2))\/(sqrt(100) + sqrt(100)*2 - sqrt(256)*-1).\nAnswer: -sqrt(11)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14009 (base 16) to base 14.\nAnswer: -21c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - q, 196*q = -x + 197*q + 9. Let u(r) be the third derivative of 0 + 1\/24*r**4 + 0*r + 2*r**2 - 1\/20*r**5 - 1\/120*r**6 + 1\/2*r**x. Give u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 1 - z**2 + 0 - z**2 in the form v*z**2 + w + m*z + r*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 75 = -3*y. Let t be 2\/(-2) - (-3)\/y*0. Let z(k) = -5*k**2 + 4*k. Let d(j) = j**2. Determine t*z(i) - 6*d(i).\nAnswer: -i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 11 - 33 = 13*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 + 180 + 175 - 797 - 3*c**2 + 186.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*v - 400*v + 136*v + 109*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 189*i + 3. Let g(k) = -26840*k - 427. Calculate -3*g(n) - 427*w(n).\nAnswer: -183*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11749013*b**4 + b**3 - 123791042*b.\nAnswer: 140988156*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 + 2*m. Let f(j) = -60*j - 2*j**3 + 106*j - 6*j**2 - 20*j**3 + 4*j**5 - 12*j**4 - 58*j. Let c(n) = -f(n) - 6*l(n). Factor c(y).\nAnswer: -4*y**3*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25076939179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1862\/961 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64\/3 + 21. Let o = 1 + -1.2. Let d = o - 2.8. What is the closest to 1\/4 in -0.4, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -23, 61, 169, 295, 433, 577, 721?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z - 16. Let w be u(-5). Differentiate -3*r - 8 - w*r + 0*r wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12181.\nAnswer: 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 843 - -1946. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -3, 3\/8, -0.3, 2\/3, -86\/3?\nAnswer: -86\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 8. What is the remainder when 29 is divided by d(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, j: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -213, -211, -207, -201?\n\"Answer: m**2 - m - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-21)*(-54)\/4. Let s be 24\/w*(-3)\/4. Solve -s*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449449645 to the nearest integer?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -615 or -450169?\nAnswer: -615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720) + 4 - sqrt(720)) + sqrt(720))**2 + (2 + -1 + sqrt(720))**2 - -5*-1*sqrt(720)*4.\nAnswer: -120*sqrt(5) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305788, 305792, 305798, 305806, 305816?\nAnswer: 305828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -29. Calculate the greatest common divisor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - -5 - -2) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-40 + 66 - 114)*(-2*t + t + 0*t)*(1 - 12*t + 10*t + 6*t).\nAnswer: 704*t**2 + 176*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y + 18. Let w = 39 - 34. Suppose 2*z - w*c = -15, 2*z + 6 = -0*z + 2*c. Is x(z) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.138 * -0.03.\nAnswer: -0.00414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 18*v + 96. Calculate x(-21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*s + s, -5*a - 4*s = -6. Let j(b) = 4*b - b**2 + a + 1 + 0*b. Let c = -48 + 54. Determine j(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*v = -142*v + 24. Find the second derivative of 29 - 95 + 8*k + 33 - k**5 - 42*k**v + 37 wrt k.\nAnswer: -20*k**3 - 504*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.414 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 750012510 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.331 + 0.271. What is the third smallest value in r, -1, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*(-170067 - -49) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/((-54)\/12) + 22. Suppose -2*h = -4*v - c, -h + 3*h = -5*v - 21. Solve -2*t = 8, -h*t = -5*p - 0 + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473347 is divided by 51.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/((-6)\/8). Let r be (a - (-14)\/4)\/3. Factor r - 1\/2*b**2 + 1\/2*b**3 - 1\/2*b.\nAnswer: (b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2*l**2 + 12)*(0*l**2 + 3*l - 2*l**2 + 0*l**2).\nAnswer: -4*l**4 + 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 13, 14, 15, 16?\n\"Answer: z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 - (5 - 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735 = -21*d - 777. Let n = d - -451. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 106*c - 66049 - 5*c + 66049 - 96*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 15*b**2 + 0*b - b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 51 - 18 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 4. Let u(z) = 7*z - 5. Let d(o) = 5*t(o) - 4*u(o). Let m be 30\/(-9)*36\/(-15). Let v(s) = 6 + m*s**2 - 6 + 0*s**2. Determine d(v(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 7969605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/3, -22\/4991, 7, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2733818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwqquubnbnbzwuuuuw. What is prob of picking 1 q and 1 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24103400 divided by 158575?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 895934 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*d + 10 = 0, -3*d - 2*d = 4*q - 10. Suppose 0 = s - q*s - 21. Is 15 a factor of s - 0\/(0 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*2)\/(3168\/(-64) - -49)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3070999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 29. Solve -14 - i = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 37 + 16 + 17 + 13. Suppose -15 = 3*b + 2*l + l, 15 = -b - 3*l. What is j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4 + 6*j**4 - 2*j**4 + 10*j + 25*j**2 + 20*j**3 + 0*j**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*s**3 - 5*s**3 + 3*s**3 + (-1 - 3 + 5)*(-6*s**3 + 3*s**3 + 2*s**3) - 5 + 5*s**3 + 2 + 4.\nAnswer: 15*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679751697.\nAnswer: 3, 43, 5269393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8005 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: What is 587.753 rounded to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t - 1. Let u(r) = 19*r + 3. Let z(q) = -9*g(q) - 2*u(q). Let n(m) = 1. Let y(b) = n(b) - z(b). Differentiate y(j) with respect to j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27 - 529*m - 789*m - 27 + 3*m**2 - 155*m.\nAnswer: 3*m*(m - 491)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t. Let b(n) = 2*n + 9. Let d be b(-5). Let m(g) = -4*g**2 + 6*g + 1. What is d*m(u) - 5*f(u)?\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.3 and 59?\nAnswer: -371.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.87408 months in centuries?\nAnswer: 0.0082284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -1726, -2001 in increasing order.\nAnswer: -2001, -1726, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 390429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + j**3 - j**5 + (-2*j + 1 - 1)*(0*j**4 - 3*j**4 + j**4) + 2*j**5 - 3*j**5 + 7*j**5.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1187170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 9:33 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(405) - 1*sqrt(405)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + s**2 + s**2 + 5855 - 5855.\nAnswer: 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-7)\/700)\/((-9)\/(45\/(-8))).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143 - -266. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z**4)*(1625 + 4195 + 2066 - 1094 - 125).\nAnswer: 6667*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 3) to base 8\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 9. Let p = -18 + y. Solve p + 3 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230677404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1257801 - 1257800.90000016. Let t = n - 0.1. Round t to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -2, 550, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124861, -498187, -1120397, -1991491, -3111469, -4480331?\n\"Answer: -124442*o**2 - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-977*d - 70 + 22 + 48 - 2526*d)*(3*d**3 - 3*d**3 + d**3).\nAnswer: -3503*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 8748.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z + 0*z)*(-26*z**2 - 1675 + 1675)*(-3*z + 2*z - 7*z) in the form x*z**3 + c*z**2 + o + q*z + k*z**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*q + 32 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 8. Let w be -1 - ((-15)\/3 + 2). Suppose -40 = 7*t - w*t. Let r(k) = -k + 5. Calculate t*r(z) + 5*c(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:27 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6562 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 113238, 226488, 339738, 452988, 566238, 679488?\n\"Answer: 113250*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 11*z - 204. Let i = z - -32. Is 1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31321238.\nAnswer: 2, 13, 761, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2093956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.458, -4, 0.3, -458?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44271192137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -17*s - 44, 420*b - 10 = 419*b + 4*s for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.2 (c) -1 (d) 125 (e) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7132378047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -1 (c) -4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35223 and 3582.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p + 0*p**4 + 1\/15*p**5 + 0*p**3 + 0 - 4*p**2. Let r(v) = -v**2. Determine t(r(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96321119 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/7 - 944898*w\/7 - 944912 = 0?\nAnswer: -7, 472456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 41*a**2 - 5*a - 78. Let d be s(33). Suppose -9*j + d + 2763 = 0. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - 2*sqrt(104)*6) + sqrt(104))\/(sqrt(8) + sqrt(8)*-2*-5) + -4 + -6*(2 + sqrt(325))**2.\nAnswer: -1978 - 1329*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276141203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2556 divided by -36.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 32. Let r be k(-14). Let w = 32 - r. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*c + 6, -v + 5*c - 1 = 4*c. Let o = v - 1. Suppose 3*m + 15 = 0, 19 = -o*a - 2*m - 123. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 699, 1, 5 in ascending order.\nAnswer: -25, 1, 5, 699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -j - 3*m, -4*j = -m - 93. Let x(c) = -3 + c**3 - 29*c - 24*c - j*c + 77*c. Suppose 0 = 4*z - 5*q - 15, 6 = -0*z - 3*z - 2*q. Give x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**2\/2 - 969*i - 312987\/2 = 0.\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-180))\/((-1104)\/(-60) - 18)*(-2120)\/318.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**4 + 4*j**2 + 48*j - 7. Let m(z) = 7*z**4 - 3*z**2 - 47*z + 6. Let l(r) = -7*m(r) - 6*w(r). Find the second derivative of l(u) wrt u.\nAnswer: -12*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/40)\/(0 + (-5)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -1.6. What is the closest to 2\/3 in s, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4 - 1. Let w = -490 - -627. Suppose 0 = -f*l + 343 + w. Calculate the highest common factor of l and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -16. Let f be q\/(-1*(-3)\/(-15)). Which is the smallest value? (a) 18 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106827520*o**2*r**3 - o**2*r - 2*o*r**2 + o + 13129781*r**2 wrt r?\nAnswer: -640965120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-25*q**2 + 94 - 94)*(-q + 10*q + q) - 4*q + 4*q - 2*q**3)*(3*q**2 + 4*q**2 + 6*q**2).\nAnswer: -3276*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156080010*g**5 + 3423*g**2 + 6*g - 11 wrt g.\nAnswer: -9364800600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6688453 rounded to one dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 41, -1\/2 in ascending order.\nAnswer: -1\/2, -0.05, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191964 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 10*j**2 + 11*j - 8. Let c be g(9). Calculate the greatest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58.32 and 93638.\nAnswer: 93696.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 + 2*p**2 - p**2)*(-129*p - 327*p - 77*p) as t*p**3 + r*p**2 + x*p + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -2*f**5 + 0*f**2 - 5\/6*f**6 + 4 + 0*f + 0*f**3 - 5\/4*f**4. Factor n(a).\nAnswer: -5*a**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(6\/5))\/o**(6\/11)*o**(-4\/23)\/o**(-2\/25) assuming o is positive.\nAnswer: o**(-5309\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7261, -14493, -21725?\nAnswer: -28957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591 divided by 42.\nAnswer: 197\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 222 - 222 - 717*f**3 - 3*f**3 - f**3 - 3*f**3 + f**3 + 4 - 4 + (-2*f**2 - 4*f + 4*f)*(0*f + f - 2*f) in the form c*f + n + h*f**2 + w*f**3 and give w.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -x - 20, 4*g + 2*x = g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 16*m - 43. Let r be v(4). Solve -b - 13 = 2*b + r*l, 16 = -b - 4*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -310242 + 560393. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 327, 1, -15624 in descending order.\nAnswer: 327, 1, -15624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 c when four letters picked without replacement from {c: 9, o: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3726 - 2072. Let y be z\/16 - 6\/16. Suppose 2*b + 2*p = 10 + 28, -4*b = -5*p - y. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = 5*v - 1, s = -3*v. Does 2\/3 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2 + 2)*(-5 + 9 + 6).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*t - 340, -2*t - 6*w + 9*w + 147 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5715371177.\nAnswer: 23, 41, 269, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/2)\/g)\/(g\/(g\/(g**(-2\/5)*g))*g)*(g**(-5\/3)*g)**36)**(2\/39) assuming g is positive.\nAnswer: g**(-281\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200*y**4 - 262*y wrt y?\nAnswer: 2400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34999403158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 3463088.\nAnswer: -9\/3463088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3251342\/34459 + -1604\/17. Let u = -156059\/20270 - v. Find the common denominator of u and 0 + -13*1\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + -3*sqrt(156))*-4)\/sqrt(12).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3722720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 34. Let c be u(6). Let h = 313 + -180. Calculate the highest common divisor of h and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35888894, -71777808, -107666720, -143555630, -179444538?\n\"Answer: y**2 - 35888917*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(85)\/sqrt(5) + 2 + -5.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75\/4 in 7, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 + 10.4. Suppose -3*c + 2*i = i - 9, -5*i = -c + 3. Put c, p, -1 in descending order.\nAnswer: p, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20*g = -854008 - 159016. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 4}. Give prob of picking 4 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 17\/6 + (-122354029)\/(-294). Round u to the nearest 1000.\nAnswer: 416000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12911 + 9146. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -2\/15*g**5 + 0 + 0*g**4 - 109*g**2 - 23\/24*g**6 + 0*g + 1\/3*g**3. Find the third derivative of f(p) wrt p.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 907 + 1928 = 211*q. Calculate the remainder when 126 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 46 = 2*m, 5*g = -4*m + 91. Suppose -4*s = -8*s + m. Solve -4*h - s = 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 10 = -13*v. Let k(w) = 2*w + 35. Let o(z) = z + 18. Let m(a) = v*o(a) + 3*k(a). Suppose 0 = -3*l + 4*q - 17, 3 = -2*q + 1. Give m(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 38*v + 85. Is i(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -123, -267, -469, -729?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 2*d**2 + 3*d + 2. Let x be v(-2). Suppose -5*f + 108 = -4*f. Let t(m) = -f + 108 - 6*m + x*m. Let k(o) = -2*o**2 + 18*o. Give k(t(y)).\nAnswer: -8*y**2 - 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozuu. What is prob of sequence zo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33378*c - 108 = 33390*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 0*r + 5*r - 2*r - 2*r + r**2 - 1953.\nAnswer: r**2 - 6*r - 1953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -118*w**3 + 232*w**2 - 6*w + 3. Let i(g) = -237*g**3 + 465*g**2 - 10*g + 5. Let d(u) = -3*i(u) + 5*m(u). Find the third derivative of d(l) wrt l.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i - 3*i + 0*i - 2*i - i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {j: 2, a: 5, s: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/7))**41*(p**(-14\/5))**(1\/6) assuming p is positive.\nAnswer: p**(5486\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from kkaq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {q: 3, e: 2, l: 13}.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.6. Let i = p - -0.2. Let o = -1 - i. What is the third smallest value in 0.4, o, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 - 3*x**4 + x**4)*(1 - 1 + 2*x) - 3*x**5 + 11*x**5 + 21*x**5 + (-161 + 20*x + 161)*(-4*x**4 + 0*x**4 + 3*x**4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3369776.\nAnswer: 2, 23, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/18 + 16*b**3\/27 + 20*b**2\/9 + 32*b\/9 + 1647. Determine i so that s(i) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nntnnnnttnn. Give prob of picking 1 t and 1 n.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018200999 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 - 2295\/7. Let x be 1\/1 - 10\/5. Which is the closest to t? (a) -3\/5 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 7*d + 5*t, 6 = -3*d - 3*t. What is the units digit of 60 - (d + -2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*l - 50 + 22 - 36 = 0, -3*l - 316 = -67*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**4*l*l**(3\/7))**(-26\/7) assuming l is positive.\nAnswer: l**(-1170\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-48) + (0 - 0) + (-98)\/(1572900\/11021).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(0 + 6\/(-8)). Let f = 5 + s. Suppose 98 = 4*p - f. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s + 0*s + 6*s**2 + 4*s + 7 - s**3 - 2*s. What is the units digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {u: 1, p: 2, s: 2, j: 1, e: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 + 129. Which is the third smallest value? (a) 58 (b) n (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + b - 4*b + (-3 - 1 + 5)*(35 - 35 - 2*b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356740156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.21999 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-322)\/56)\/((-5)\/20).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 18. Suppose -3*x = -4*a + 27 + 1, -7 = -a - u*x. Suppose 4*q = 2*b - 89 - a, 285 = 5*b - q. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2377*w + 7245*w + 233*w + 61362 = -372*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 + u. Let x be t(0). Suppose 2*r - 3*g - 33 = x, 4*g = r + 5*g - 24. Let m = r + -12. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9161529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6302*v - 206913. Determine k(33).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:00 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 3*t - 8. Let a(p) be the second derivative of -1\/6*p**4 + 0 + 7\/2*p**2 - 5*p - 2\/3*p**3. Let z(b) = -4*a(b) - 3*h(b). What is z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/(-68))\/(5\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 4*c**2 - 12 - 14*c**2 + 0*c**2 - 40 to the form p*c + v + i*c**2 and give v.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -230, -24\/5, 5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 4*a**3 - a**5 + ((-2*a**2 + 0*a**2 + a**2)*(-2*a - 2*a**2 + 2*a) + 17*a**4 - 35*a**4 - 69*a**4)*(-3 + 2 + 2)*(-1 - 2*a + 1).\nAnswer: 169*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12791 - 12563. Calculate the remainder when 2267 is divided by z.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgcc when four letters picked without replacement from {y: 1, g: 1, m: 5, c: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 4, -3.\nAnswer: -3, 4, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(126)\/sqrt(7)) + 3 + (sqrt(80)*2 + sqrt(80) - sqrt(5)))**2.\nAnswer: 68*sqrt(5) + 5861\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 21. Let f = 3 + q. Let o be -2*3\/f*2. Sort 2, o, -2 in decreasing order.\nAnswer: o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**8\/3360 - m**6\/90 - m**4\/3 + 22*m. Let k(r) be the third derivative of i(r). Factor k(l).\nAnswer: 2*l*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -29696\nAnswer: -3\/29696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41850, -41849, -41848, -41847?\nAnswer: -41846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18726 and 12151.\nAnswer: 30877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 370, -20, -4.\nAnswer: -47, -20, -4, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925504 a multiple of 2227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:22 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*z**2 + 0*z + 4*z**2 + 2*z + 8*z**2 in the form d*z + x + k*z**2 and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14923521 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let -o**3 - 6051*o**2 - 2811818*o - 5599440 = 0. Calculate o.\nAnswer: -5544, -505, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*i**4*n*p + 3*i**4*n + 24*i**4*p - 7*i**2*n + 43*n*p + 2*n wrt i.\nAnswer: 1008*i*n*p + 72*i*n + 576*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 3*k**4 + 0*k**4)*(180*k - 77*k + 144*k) + k**4 + k**5 - k**4.\nAnswer: 248*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958834660 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(85\/(-20)))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5270293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3081*h - 9945. Let g(d) = 28*d + 90. Let v(k) = 221*g(k) + 2*s(k). Let j(w) be the third derivative of -19*w**5\/60 + w**2. Calculate j(v(t)).\nAnswer: -12844*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - -12?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -6 (c) -2\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2236 and 25\/46044.\nAnswer: 25738596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 19. Let i be k(-11). Solve 2*c - 2*t = 6*c + i, 2*c + 4 = -4*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1098 - -0.0202. What is the nearest to i in -2\/3, 3\/4, -7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/8*(5\/(-3))\/(1195\/1434).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 10 = -s - s, 3*s = -15. Let l(j) be the first derivative of j**3\/3 + 3*j**2 + 5*j + 8. Give l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.45, -0.2, 4.1, 0.1, -0.5.\nAnswer: -2.45, -0.5, -0.2, 0.1, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 5*x**4\/4 - x**3\/3 - x**2\/2 + x - 170. Let o = -34 - -49. Suppose -i - 3*r = 2*i - o, -8 = -2*r. Give h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281851.\nAnswer: 29, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-224)\/(-6) + (-19)\/57). Suppose -3*m = 2*m + 155. Let z = m - d. Put z, 4, 5, 2 in descending order.\nAnswer: 5, 4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*a**2*h + 4101*a**2*s - 45*a*h*s + a*s - 884*h - s wrt a?\nAnswer: 84*h + 8202*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**7\/2520 + 7*p**6\/360 + 2*p**5\/15 + 12*p**2. Let l(h) be the third derivative of s(h). What is the units digit of l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126 - 758 = -121*v - 6715 - 5454 for v.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00160426903 rounded to seven dps?\nAnswer: -0.0016043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108873 (base 10) in base 9?\nAnswer: 175310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.296 - -132.704. Let l = p + -249. Let c = l - -74. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1 + 3. Suppose r = -r + k. Suppose -w + r*w - 10 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2724?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 168.\nAnswer: -15\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**5\/20 - 9*n**4\/16 - 31*n**3\/6 - 27*n**2\/2 - 14*n + 4903. Find u such that l(u) = 0.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5408*w - 2192. Let h(a) = -1803*a + 732. Let k(d) = -11*h(d) - 4*p(d). What is the first derivative of k(o) wrt o?\nAnswer: -1799","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044595971 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 + 92*g - 365. What is j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -132579*p**2. Let f(j) = -3*j**2. Determine f(l(h)).\nAnswer: -52731573723*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/2)\/((-33)\/(-33)) - -56009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2. Let i be k(-7). Suppose 6 = -i*t + 3*t. What is the units digit of (-4)\/6*(-5 + t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 63. Suppose -o + 2*o - c = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-2) - 4\/(-8). What is the fourth smallest value in q, -0.5, -0.05, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 8. Let z = t + -6. Suppose i - 7 = -2*c, 3*c - 3 = -z*i - 0. Solve c*o - 3*g = 27, o + 4*o = -4*g - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 342, 440, 528, 600, 650?\n\"Answer: -y**3 + y**2 + 102*y + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.69, 4, -1035, 1\/3 in decreasing order.\nAnswer: 4, 2, 1\/3, -0.69, -1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/850 and -17\/26.\nAnswer: 11050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/3, -25.9, -2\/11, -22, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 + 4065*w**2 - 24 - 4058*w**2 - 2*w**3 to the form q*w + z + p*w**2 + k*w**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/2*2\/3. Suppose w = -4*m, q + 2*m - 204 = 6*q. Let z be q\/(-28)*(-2)\/(-21). Which is the biggest value? (a) z (b) -0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1. Suppose -5*u - 43 = 77. Let m(s) = 2*s + 8. Let c(p) = u*k(p) - 3*m(p). Let x(a) = 7 - 26*a - 4 - 3 + 25*a. Give x(c(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -11\/12*u**4 + 15\/2*u**2 + 0 + 8*u + 1\/20*u**5 - 5\/3*u**3. Calculate the remainder when 116 is divided by n(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 197*n**2 + 15*n + 165. Let h(o) = -196*o**2 - 12*o - 165. Let s(r) = 5*h(r) + 4*i(r). What is the derivative of s(a) wrt a?\nAnswer: -384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 0. Let f = -4 - q. Let t be f\/(0 - 1 - 1). Solve -2*y - t*y - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911*s + 898*s + 888*s - 26*s**2 - 2697*s.\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -31. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -35 + 29. Let v = w + 23. Calculate the smallest common multiple of 18 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 + 16 - (3 + 0). Solve -2*b - 1 = -2*h + 1, -3*h - g*b + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*s**2 - 4*s**5 + 2*s**5 + 2*s**5 - 2*s**6 + 47*s**4 - 4*s**4 wrt s.\nAnswer: -240*s**3 + 1032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/6*(-1 + 1). Let p be a*(-2)\/4 - 3. Let n(b) = -1. Let x(k) = -1. Let m(s) = -3*n(s) + 4*x(s). Let f(t) = -t + 2. Give p*m(v) - 2*f(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2427 + -2203. Calculate the remainder when q is divided by 66.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:03 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Suppose -d - 8 = 2*l, -3*d = 2*l + 2*l + 30. Let u = d - -14. Let g = u - 2. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(48\/(-2) + 13). Is -33 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + -64.9. Let d = f - -70.1. Which is the nearest to d? (a) -5\/2 (b) 48 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1772 divide 10049012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44194894 to the nearest integer?\nAnswer: 6648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 474 = 24*a. What are the prime factors of a?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572235?\nAnswer: 3, 5, 38149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8715, -8725, -8735?\nAnswer: -8745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.76076144 - -0.7613. Round j to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qncqtnnnnnnqnnnt. Give prob of picking 1 q and 1 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7120\/7 smaller than 1018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 11*c**2 - 8*c - 25. Let x be s(9). Calculate the highest common factor of 35 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxzz when four letters picked without replacement from fzxxzzfx.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042721 rounded to seven dps?\nAnswer: 0.0000427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/3, -1\/6, -3\/8, -0.3, -0.1098?\nAnswer: -0.1098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -86.8 and 0.4?\nAnswer: 87.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let w = -1 + f. Is w at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/2 - 301\/(-21))*-3. Is -30 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*3 - (-5 + 7 + -7) - 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1927\/8 + 241. What is the common denominator of q and 133\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1 - 6*y - 66*y**2 + 6 + 65*y**2. Calculate b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*sqrt(54)\/sqrt(3))\/sqrt(9)*-5.\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 36 - 9)*(1 - 2 - 1 - 2*c).\nAnswer: -166*c - 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 102*n**2 - 81*n - 97. Let i be g(-50). Let a = 315 - i. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4347*u**5 - 572*u**5 + u - 1784*u**2 - 480*u**2 + 740*u**5 + 1 wrt u.\nAnswer: 270900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05238 times -2?\nAnswer: -0.10476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -884 - -1302. What is the least common multiple of 14 and m\/13 + 12\/(-78)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 781, 1277, 1771, 2263?\n\"Answer: -l**2 + 499*l + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*o**3 - 40*o**3 - 23 - o**4 + 29 to u*o**3 + l*o + g + t*o**4 + q*o**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 1)*(2*n + n - 4*n)*(-80*n + 80*n + 13*n**2).\nAnswer: -78*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*b = 0, 2*w = -4*w + 4*b + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 1728921*n**2\/4 - 186823205130*n - 186822772900.\nAnswer: -(n + 1)*(n + 864460)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16477 + 16462 + (-62)\/(2*1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15032, -21520, -28008, -34496, -40984, -47472?\nAnswer: -53960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-825.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) + (sqrt(624) + 3*sqrt(624))*5 + sqrt(624))\/sqrt(12) + sqrt(624)\/(sqrt(1452) - (sqrt(1452)*-3 + sqrt(1452)) - sqrt(1452)) + 3)*-6.\nAnswer: -2910*sqrt(13)\/11 - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b + 10. Let d = -26 + 21. Let m(v) = 2*v + 3. Calculate d*h(k) + 16*m(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 2, -4, 20, -2, -3 in decreasing order.\nAnswer: 20, 2, -2, -3, -4, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5470711 + 2?\nAnswer: 5470713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -95, -140, -185, -230?\n\"Answer: -45*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/7 (b) -1 (c) 5 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1588019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/38 and ((-292)\/8)\/(-6 + 2 + -1).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.2, 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5479, 21892, 49235, 87508, 136711?\nAnswer: 196844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:56 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3290 and 4277.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 164495*k - 657982. Give g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*n**2*p + 50*n**2 with respect to p.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + (-11 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3296 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1583 divided by -287?\nAnswer: 1583\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 2 - 3*q + 3*q. Let m(o) = -o**3 + 20*o**2 - 3*o + 1. Let h be m(20). Let u = 58 + h. Let t(b) = -1. What is u*w(g) + 3*t(g)?\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00748383662 to 6 decimal places.\nAnswer: -0.007484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*u**2 + 372*u**2 - 187*u**2 - 2385.\nAnswer: -2*u**2 - 2385","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2614 is divided by 284?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-29440)\/980 + (-28 - -58)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 3*n**2 - 2 + 3*n**2 + n**2. Let r = -1 + 3. Suppose 3*x + 2 = 6*t - 2*t, 0 = x - r*t. What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2623, -4 in descending order.\nAnswer: 3, -4, -2623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2257 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 5*h**4\/12 - h. Suppose -3*z = -2*d - 6*z - 10, 0 = -2*d - z - 6. Is g(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202 - -5 - (-12)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 22*b**2 - 7*b - 2. Let n be k(-5). Suppose -3*h = -v + 109, -5*v = 2*h + 2*h - n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 262 - -bda?\nAnswer: 105c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15363954 and 18778166?\nAnswer: 169003494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1475 by -59.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b*b**2)\/b))\/b)**(22\/3)*b*b*b*b\/(b**(-15)\/b)*b**(1\/10))**(-3\/7) assuming b is positive.\nAnswer: b**(-383\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58386776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/395582 and -101\/26.\nAnswer: 5142566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 3*t**2 - 3*t**2 + (-5*t + 5*t - 2*t**2)*(-t + 0*t + 2*t**2 + 4*t).\nAnswer: -5*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 60 = 4*m. Solve -5*r = -2*g - m, 4*r - 5 = -1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -18 - 13)\/(-1). Put -239, -2, 5, c in decreasing order.\nAnswer: 5, c, -2, -239","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 593. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5\/2 (c) 0.4 (d) -311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6624 = 146*i + 138*i - 77*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -16*h + 104 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -19*k - 13. Let y(h) = 19*h + 8. What is 2*c(f) + 3*y(f)?\nAnswer: 19*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51803628 and 4079714?\nAnswer: 47723914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -9*n + 6. Solve 1 + n = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153741079*d**3 - 169*d - 69838 wrt d.\nAnswer: 922446474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0 + x**2 + 0*x**4 - 2\/3*x**3 + 1\/60*x**5 + 0*x. Let u = 6 + -9. Give p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 951486*v + 122. Let u be m(-27). What is u rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-2 + sqrt(288)*-2)**2.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1640, 3182, 4722, 6260, 7796, 9330, 10862?\n\"Answer: -d**2 + 1545*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 204985 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630*(-160)\/(-3248) - 6\/(-174).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*s = -6, -11 = j + 2*s + s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:59 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*u - 0 + 10, -5*u = -3*k + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 7 + (-1 - 1 + 1)*(-5 + 3 + 0))*(-4*h**4 - 9*h**4 + 2*h**4) to v + x*h**2 + i*h**3 + u*h**4 + t*h and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-372)\/248)\/((-2)\/4). Solve -15 = 5*v, -3 = 3*z - 2*v + d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away 189587?\nAnswer: -189587.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62)\/45*3 - -4. What is the closest to -3 in l, 12, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81840 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2650145919 and -112741.\nAnswer: -2650258660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24426561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 7:47 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 946.32 + 13.68. Let a = q + -958.244. Let p = 1.7 - a. What is p rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56.3 + 53. Let j = 0.3 + r. Let m be -3 - -2 - (-4 - 1). Which is the third biggest value? (a) m (b) j (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {m: 4, d: 1, r: 2, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3517 - -12538. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102600 divided by 600.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -15. Let p(a) be the first derivative of -4*a**2 - 17*a - 3. Let o be p(-10). What is the greatest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 297 - 297 - 274*c + (2*c - c + 0*c)*(-2 + 5 + 0) + c + 0*c - 2*c + (-1 - 2 + 6)*(-2*c + 4*c + 0*c) - 5*c + c + 2*c in the form f + t*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.06098*-566\nAnswer: -34.51468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j + 21. Suppose 4*n - 5*q + 9 = -16, -2*q - 18 = 4*n. Let m be g(n). Which is bigger: m or 1\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -4 + 3)\/1. Let a be 10*(48\/20 + n). Solve -f = o - 8, 0 = -4*f + o - a + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855846 divided by 4?\nAnswer: -927923\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(60\/9)*-4. Do b and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -30 (b) -32 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 11 = t + h, -h + 5 = -3*t. Let z be (-6)\/(-3)*t + (-11 - 31). What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:57 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5*w**2\/2 - w + 4. Suppose 2 = -t + 5. Is 14 a factor of z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*f + 27, -o + 144*f = 146*f + 23. Suppose -35\/4*t**2 + 5\/4*t**4 + 75\/4*t - 15\/4*t**o + 45\/2 = 0. What is t?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:02 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 + 2*i + 2. Let r be 8\/64 - (-23)\/8. Let t(w) = 14 - 5*w**r - 17 + 0*w - 2*w. What is 2*t(q) + 3*x(q)?\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112221 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*p**2 - 425*p + 180625\/2 = 0. Calculate p.\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626653240?\nAnswer: 2, 5, 7, 12952333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 54*p**2 - 6*p. Let a(c) = 2*c**2 + c. Let o(d) = -10*d**2 - 4*d. Suppose -18*w - 143 + 71 = 0. Let t(s) = w*a(s) - o(s). Give v(t(n)).\nAnswer: 216*n**4 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 4. Let g(k) be the second derivative of k**4\/24 + 5*k**3\/6 - 2*k**2 + 7*k. Let m(n) be the first derivative of g(n). Calculate 7*b(r) - 6*m(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, and 1 w when three letters picked without replacement from {w: 9, k: 1, u: 4, s: 2, b: 3}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - 2. Let y = v + 1. Suppose 14 = 7*o - 21. What is the nearest to 0 in o, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -539692018 or -539692017?\nAnswer: -539692018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/45))**(4\/3))**(-19) assuming d is positive.\nAnswer: d**(-152\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(15) + sqrt(75)\/sqrt(5))\/sqrt(3).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678 by 396.\nAnswer: -113\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6081103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2487 + -2483. What is the fourth smallest value in 9, g, 2\/5, 2\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*(n*(n**(1\/3)*n)\/n)\/n*n)\/(n**(1\/4)\/n**(-2\/5)) assuming n is positive.\nAnswer: n**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137, -142, -149, -158, -169?\n\"Answer: -g**2 - 2*g - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24092*t**3 - 24085*t**3 - 24096*t**3 + 72244*t**3.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -257\/4 + 64. Let v = -1048 + 1118. Put -2\/15, 0, v, d in descending order.\nAnswer: v, 0, -2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -58?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -0.3 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 18*h**3 + h**3 + h**3 - 1 - h**4 as c + u*h**2 + k*h**4 + o*h**3 + l*h and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 863595*b**2\/4 + 863577*b\/2 + 863571\/4.\nAnswer: 3*(b + 1)**2*(4*b + 287857)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/((-910)\/32900*-47)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) - (sqrt(294) + sqrt(294) + (sqrt(294) - (sqrt(294) - -2*(sqrt(294) + -2*sqrt(294)))) - sqrt(294)))\/(3*sqrt(20)\/(sqrt(10)*-2)).\nAnswer: 28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 370*c + 92. Let r(h) = 3699*h + 966. Let p(i) = 4*r(i) - 42*s(i). Let j(b) = 2*b**2. What is j(p(l))?\nAnswer: 1107072*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/35)\/n)**(-2\/5)\/(n\/(n*n\/n**13)*n*n**(-7)))**(3\/7) assuming n is positive.\nAnswer: n**(-2952\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 g when four letters picked without replacement from ggzgzzgg?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2807\/133 + (-4)\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -17*c + 48. Let u(y) = -5*y**3 + 2*y**2 - 1. Let z be u(1). What is the smallest common multiple of 5 + z\/(-6)*-3 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 smaller than -51486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*9\/297*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*d**2 + d - 157*d**2 + 79*d**2 as y + t*d**2 + w*d and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10223, -10315, -10521, -10847, -11299, -11883, -12605?\n\"Answer: -j**3 - 51*j**2 + 68*j - 10239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16542*t + 33632 = 15491*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/30 + 13*t**3\/3 + 24*t**2. Find the first derivative of d(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -72, -165, -296, -465, -672, -917?\n\"Answer: -19*k**2 + 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9648 is divided by 9593?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 16*i + 10. Let f be y(8). Let d(b) = -b**2 - 8*b + 1. Let c be d(-7). Let h = f - c. Solve 3*l = h*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18 - 50*w + 36*w + 13*w**2 + 0*w**3 - w**3. Calculate i(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 8*c + 12. Let m be p(7). Suppose -m*h + 134 = 9. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 - -488. What is the highest common divisor of l and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2. Let h(c) = c - 3. Let y(u) = -u + 2. Let p(s) = 6*h(s) + 5*y(s). Calculate -7*m(b) + 2*p(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 + 5881 - 1260 - 2*s**3.\nAnswer: -2*s**3 + 4943","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -29. Let -1\/4*f + 1\/4*f**2 + j = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:26 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 20, 4*d - 2*u - 26 - 62 = 0. Suppose y + 176 = -3*q, q - y = 5*q + 234. Let n = q + 118. What is the greatest common divisor of d and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from ozzlozozloo.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 98*m + 106. What is h(-109)?\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 3. Let w(p) = p + 1. Let s(d) = -6*f(d) - 17*w(d). Let c be s(-5). Let l be (-2)\/c + (-247)\/26 - -2. Sort -4, l, 4 in descending order.\nAnswer: 4, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 + 67578075*d\/2.\nAnswer: 3*d*(d + 22526025)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 10056 + 10056.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z + 104. Let k(c) = -c - 11. Let j(s) = f(s) + 10*k(s). Give j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 6, b: 8, t: 2, g: 2, i: 1}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - v - 7 = -k, -5*v + 1 = 2*k. Let t be (1 - 3\/(-2))\/(8\/16). Suppose 2*r - 3*q = -2*r - 10, -5*q = -r + 6. Sort k, t, r in descending order.\nAnswer: t, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpapzaakzagaa. Give prob of sequence zz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -15295 and -15286 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 - 10*u - 38. Is j(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 * -390\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/1)\/((-195)\/(-78)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094 is divided by 189?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2. Let x(a) = -a**3 + 14*a**2 - 14*a + 16. Let p be x(13). Let y(d) = -p*d**2 - 2*d**2 + d**2 + d**2. Calculate j(y(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7839043991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709416048 to the power of 1\/4, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 341*x**3 - 5*x.\nAnswer: -341*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 3. Let g(x) = 3*x**2 + x. Let k(r) = r**2 - r. Let d(u) = g(u) + k(u). Give v(d(s)).\nAnswer: 32*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from prrprbbbbpzyrrraay.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.427133 - -3.1333?\nAnswer: 1.706167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x + 227*x**2 + 253*x**2 - 384*x**2 + 9. Does 18 divide c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1300699*f**2*n**4 + 3*f**2*n**2 - 3*f**2*n + 778*f*n**2 + f*n + 15*f + 24*n**4 + n**2 wrt n.\nAnswer: -31216776*f**2*n + 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(272) + 0 + 3) - ((sqrt(272) + 0)*2 - (-1 + sqrt(272) + (sqrt(272)*-2 - sqrt(272)) + sqrt(272)))**2).\nAnswer: -2455 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -2022, -6851, -16264, -31791, -54962, -87307, -130356?\nAnswer: -185639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84.49 + 86.49. Which is the second smallest value? (a) -1263 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -17 - 5) + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-2)*((-1392)\/32 - -44). Solve w*q - 24 = -4*j, -413*q + j - 10 = -415*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.111, 6\/5, -219, -1\/7.\nAnswer: -219, -1\/7, 0.111, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 112786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3) + 1 + 1. Calculate the remainder when s\/4 + (-535)\/(-10) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*w**5 + 4 + 10*w - 7 + 4*w**3 - 2*w**3 + 1 wrt w?\nAnswer: -300*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4595 - 2742. What is the highest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*17\/6)\/(224\/(-1344))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 31 = 5*l, 0 = -6*l + 2*l - 2*k - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12124*u - 142898072 + 142898072 + (-u + 0 + 0)*(0 - 1 + 0) - 2*u - 4*u + 4*u as f*u + k and give f.\nAnswer: 12123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 74 = -3*r, -119*v = -123*v - 2*r - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 7*i - 8. Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 919\/42940 + -9\/226. Calculate the common denominator of u and 3\/35.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655786.5t in milligrams?\nAnswer: 655786500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 12913.\nAnswer: 18078.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 15*s - 17. Let o be q(-17). Let f = -42 - o. Let x(d) = 8 + 2*d + d - f - 7*d. Let g(c) = c. Calculate -2*g(p) - x(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1126, -4430, -9926, -17614, -27494, -39566, -53830?\nAnswer: -70286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 73231236 divided by -3\nAnswer: -24410412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/682 and 145\/12.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874099 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391916102?\nAnswer: 2, 1567, 125053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2862304 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 23. What is n(26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47044610.\nAnswer: 2, 5, 17, 127, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77908 by 5.\nAnswer: 77908\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7271603 is divided by 119?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*v - 58. Let s(j) = -j**2 + 2*j + 4. Let p(l) = 5*l**2 - 9*l - 16. Let d(i) = v*s(i) - 2*p(i). What is d(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 - 9050*g\/13 - 696.\nAnswer: -2*(g + 1)*(g + 4524)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -577 - -577. Suppose 0 = 5*l - 16 - 4, 0 = -2*m - 2*l + 18. Suppose m*y + 3*x = -0*x - 18, 0 = -4*y + 3*x - 9. Put y, 3, b in ascending order.\nAnswer: y, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -657 times 6046\nAnswer: -3972222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -4, -1, 14, 47?\n\"Answer: q**3 - 3*q**2 - q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 3218948?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 436664 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 + w**3 - w**3 + 4*w**3 - w**3 - w**3 + (3*w + 3*w - 3*w)*(0*w**2 + 3*w**2 - 6*w**2) + (-2*w + 2*w - 2*w)*(-1 - w**2 + 1) - 2*w**3 + 4*w**3 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, 16, -4, -247 in ascending order.\nAnswer: -247, -4, -1, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -12 + -6 + -4 + (3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/12 and (-28)\/54*45\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -675*c**5 + 3402495*c**4 + 31573968*c**3 + 69595752*c**2 + 16907184*c + 1090800 = 0.\nAnswer: -6, -3, -2\/15, 5050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -538.5.\nAnswer: -2692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 4. Suppose 0 = -5*h - 102 + 27. Let o(k) = -12*k + 15. Let a(n) = h*x(n) - 4*o(n). Let y(t) = -t. Calculate a(y(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 62*d = 1255. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppuupuupup?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-295)\/((-2006)\/(-34)))\/(-10*58\/16).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgx when three letters picked without replacement from ccxgg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*x - 5*l, 5*x - 1768*l + 17 = -1765*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*b = 90045, -5*b - 90037 = -p - 9*b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d = -109*d - 180 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -0.08, -0.691.\nAnswer: -3, -0.691, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349337515 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 5. Let q = -14 - -78. Suppose -2*d = -3*k - k - q, -2*k = -5*d + 120. Calculate the greatest common factor of d and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:55 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 - -5)*-1*(-45)\/(-6). What is the highest common factor of c and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2626*q + 2. Let o be m(-3). Let g be (2\/(-2))\/((-23624)\/o + -3). Suppose g = 8*a + 729. Is 31 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 + 12 - (-1 + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28.199 and -108?\nAnswer: 136.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 11*y - 7. Suppose 124 = 5*v - 96. Suppose 0*a + v = 4*m - a, -50 = -3*m + 5*a. Calculate q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**(-14)*l)\/l)*l**(2\/3)*l*l*l\/(l\/l**9)*l*l**(2\/13) assuming l is positive.\nAnswer: l**(1085\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2165*j**2 + 10*j + 153071 wrt j?\nAnswer: 4330*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5282989, -5282993, -5282997?\n\"Answer: -4*g - 5282985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 13*f - 12. Give x(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - 7) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.03175ms in microseconds?\nAnswer: 37031.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = p, 4*t + p = 6*t - 18. Suppose -t*q = -8*q - 44. What is the derivative of -44*d - 30*d**3 - 12 + q*d wrt d?\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -69. Let g = r - 25. What are the prime factors of ((-208)\/g)\/((-2)\/10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-3 + 7\/2). Let r = -17 - u. What is the units digit of (r\/4)\/(24\/(-128))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 210177.\nAnswer: 1681416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooyoyyoyyoy. Give prob of sequence yyo.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.821 - 0.179. Let y = -3.1 + 0.1. What is the closest to 0 in v, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -74 (b) 4 (c) -4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5826 + 5826.5. Let l = 4.11 - 0.11. Sort l, 3\/7, a.\nAnswer: 3\/7, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*z - 2*j, 5*j + 9 + 8 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1\/2)\/l)\/l)**(-36)\/(l*l**(-2)*l)**(-2\/13))**(-2\/97))**(-5) assuming l is positive.\nAnswer: l**(900\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.16 - 6.1. Let d = i + 45.94. Let a = 46.016 - d. What is a rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-3 + 10 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2.4, -48, -7.9, 4, -4.\nAnswer: -48, -7.9, -4, 2, 2.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 204*h + 39*h + 7 - 43*h + 18 + 87*h. List the prime factors of g(4).\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(4\/7)\/w*w)\/w)**(1\/5) assuming w is positive.\nAnswer: w**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10551588.\nAnswer: 2, 3, 879299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = 3*q - 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-10))\/((-12)\/(-30)). Suppose 0 = g*j - 7 + 4. Which is smaller: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*v + 9 = -0*u, 2*u - 2*v + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 - (-4020)\/50 - (0 + 3\/(-5)) is divided by 60.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105223333 (base 6) in base 5?\nAnswer: 443304232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f + 100. Calculate the remainder when s(8) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*a + 238*a + 237*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Suppose 5*f = 8 - 23. Let x be i(f). Suppose 0 = x*l + l - 177. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829082 is divided by 165815.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0*u**3 + 0*u**2 - 92 + 3\/20*u**5 + u + 3\/4*u**4. Determine i so that z(i) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38841082, -38841066, -38841024, -38840944, -38840814, -38840622, -38840356?\n\"Answer: 2*t**3 + t**2 - t - 38841084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 2735105555697?\nAnswer: 2735105555696.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3710\/3, -5, -3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4024?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14030*o + 24*o**3 + 14030*o)*(0*o + 2 - 2*o + 3*o) as a*o**2 + w*o**3 + f*o**4 + i*o + y and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:50 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f*f*f)**(-46)*f**2\/f**7)\/((f\/(f\/f**(-2))*f)\/((f\/(f**(1\/6)*f))\/f*f)*(f**(-1\/2)\/f)**(-2\/11)) assuming f is positive.\nAnswer: f**(-9401\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202 - 30003102121?\nAnswer: -30003103323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-16 - (6 + -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 982231357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 261*b**3 + 8108 + 8*b**2 - 4*b + 8165 - 16273.\nAnswer: 261*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiee when four letters picked without replacement from oioioioee?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*v - v - 458, 3*v + 2*u = 340. Let z = v + -93. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.33 rounded to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2970)\/231)\/((-815)\/70 + 7).\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 4*z**2 - 2*z + z. Suppose 46 = 4*i + 5*f, 7*i + f - 38 = 3*i. Let n(w) = i*w - 6*w - w. What is u(n(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 86. What is the derivative of -8 + 10*s - 8 + z + 2 wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(1\/14)*(z\/((z\/(z\/(z**(6\/7)\/z)))\/z))\/z*z*((z**(-3\/2)*z)\/z)\/z*z\/z**(1\/8) assuming z is positive.\nAnswer: z**(137\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 228567*q + 31. Suppose 4*g + 181 = 3*u, 3*g + 117 = -2*u - 2*u. Let j = 50 + g. Let i be z(j). What is i rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*s = -3132*s - s - 496372 for s.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12531.86 plus -3?\nAnswer: 12528.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54060652 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1181*v**2 + 660*v - 661*v - 894*v**2 + 1.\nAnswer: 287*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**2*p)*p))\/p**(-2))**(-33) assuming p is positive.\nAnswer: p**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(-14*(-7)\/588)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 50. Let m(d) = -d**3 - 2*d**2 + 6*d + 3. Let u be m(-4). Let g be b(u). Let a be (-18)\/220*(126\/27 + g). Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnggg. What is prob of sequence nn?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441.934 + 25509810.\nAnswer: 25510251.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 51 = -3*r + 2*j, -j = 5*r - 227. Suppose -k = 2*t - 96, 0 = -2*t + 3*t + k - r. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*a, -2*a + 21 = -z + 3*a. Let l(s) = -s**2 - 6*s. Let p be l(-6). Suppose p = -o - 5*c - 14, z*c + 9 = c. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -7, 3, -11, 48 in decreasing order.\nAnswer: 48, 3, -7, -11, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 13*l**2 - 13*l - 35. Let k = -204 - -314. Let s = k + -99. Is f(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24950 + -24767. What is the remainder when 10428 is divided by r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*i + 2*i - 88, -2*i = 3*c - 88. What is the remainder when i is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28597874 is divided by 746.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 691*q - 4352*q + 1738*q + (3*q - 5 + 5)*(-1 + 5 - 3).\nAnswer: -1920*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 320, 578, 838?\n\"Answer: v**2 + 253*v - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6235.5 - -6235. Which is the second smallest value? (a) -1565 (b) -1 (c) v (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-7)*q*((q\/((q\/(((q*q\/q**18*q)\/q)\/q))\/q))\/q)\/q)**40 assuming q is positive.\nAnswer: q**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 7\/120*t**6 + 0*t**5 + 0 + 1\/2*t**3 + t**2 + 0*t + 0*t**4. What is the derivative of i(y) wrt y?\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5824 is divided by 120.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 221820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19456144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - (-6 + 8)*-3. What is the remainder when (0 + z)\/(10\/(-1480)) is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 59 = 5*f + 51, -5*a + f + 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 150*j + 5. Let m be l(1). Let k = 160 - m. Calculate the highest common divisor of 240 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193646 litres in millilitres?\nAnswer: 193.646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(2 - 1 - 3)*(3 + 1 + 0)*(1 - 1 - 2*n)*(-n + n - 2*n**3) to s*n**3 + l*n**4 + o*n**2 + u + g*n and give l.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899740917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 7 + -2 + 137. Suppose -x*g + 139*g = 20. Let r(c) = 10*c**2 - 8*c + 42. What is the units digit of r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piel when four letters picked without replacement from pleananeilaaanieepan.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:30 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -124086.56.\nAnswer: 2605817.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(70) - sqrt(70) - sqrt(70))\/((sqrt(100) - (sqrt(100) + -2*sqrt(100) + sqrt(100)))\/sqrt(10)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k + 4. Let u be h(3). Suppose -2*s + 10 = 3*s. Let d = s - u. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q + 5*q + 5*q + 9*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18*f + 59. Let v be n(-3). Let l(c) = 37*c + 27. What is the units digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)\/k)\/k*k**4)\/(k*k**(-1\/3))**(-41))\/((k**3\/k)**(5\/13))**33 assuming k is positive.\nAnswer: k**(76\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 13. Let m(p) = -22*p + 40. Let j(r) = -5*m(r) + 16*n(r). Calculate the smallest common multiple of 9 and j(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 119 = -5*u + 130, -2*k + 23 = -u for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q - 60. Let h be 19*1\/2*q. Is 1\/4 - h\/24 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**3 + 5. Let q(p) = -29*p**2 - 1. Let i be q(-1). Let t = 37 + i. Let m(d) = -11*d**3 - 9. Determine t*a(x) + 4*m(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 2355*b - 1932*b - 4*b**2.\nAnswer: -b**2 - 4287*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiojiiijioiijjp. Give prob of sequence ooji.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((3 - -29) + 5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001618404 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(6\/19)*l*(l*((l*l**(7\/8))\/l)\/l)\/l assuming l is positive.\nAnswer: l**(333\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 226\/113*(-30)\/(-4)*5\/(-20)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 10\/9, 67, -17\/12?\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 226 + 66 - 57*s - 292. Let t(g) = 4*g. Give t(o(v)).\nAnswer: -228*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -51618 bigger than -51623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*c + l + 20, 3*c = 5*l + 15. Let m be c\/(5\/2) + 2. What is the second derivative of -2*o**m + o**4 + o + 0*o wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 58*x - 602. Let k be v(9). Solve 0 = 2*p - 0*p + 6, c = 2*p + k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -5 (b) -369184 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2088)\/32*(-242 + 2\/(-1)). Suppose -5*s + 3*b = -u, b = -4*s + 5*b + 12740. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2778.7 and -37.\nAnswer: -102811.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-13 - -9)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 1\/4*o**6 + 1 + 0*o**5 + 0*o + 0*o**4 - 103\/6*o**3 - 18*o**2. Differentiate v(r) with respect to r.\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -182 - -2?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196202 by -98101.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1036*i**2 - 45308456*i - 1399488.\nAnswer: -4*(i + 43734)*(259*i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**2 + 2*i. Suppose r - 14 = -3*f, f + 2*r = -r + 2. Suppose 4 = g, -3*p - 9 - 17 = -f*g. Does 28 divide j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2 - 2)*(1 + 5 + 0 + (2 - 2 - 1)*(-3 - 4 + 5) - 2 + 3 - 7).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 92*f**3 + 1404*f**2 + 3268*f - 4760 = 0 for f.\nAnswer: -7, -5, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -326.3. What is the third smallest value in -5, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3873 - -3731.045. Let d = 142 + v. Let q = 0.04542 - d. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2\/2 - 16347*z\/2 - 155838 = 0?\nAnswer: -19, 5468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/26 - (-30)\/26. Let x = 3.0259 - 0.0259. Which is the biggest value? (a) 5 (b) -0.2 (c) l (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(2*p - 5*p + 6*p + 2*p - 3*p + 2*p + (-1 + 2 - 2)*(-5*p + 3*p + 0*p) - 2*p - 2*p + 6*p).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 8 + -18 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 5*w**2 + 4*w - 3. Let f be k(4). Sort 3\/2, f, 2 in increasing order.\nAnswer: f, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/35 + (2 - (-144)\/(-14)). Let z = -14 - x. Is 21 a factor of (z\/5)\/3 - 3798\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2180*h**4 + 1?\nAnswer: -8720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 755589087 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 882100612, 882100611, 882100610, 882100609, 882100608, 882100607?\nAnswer: 882100606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*21\/28*12. Suppose 182 = q - v. List the prime factors of q.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 + 76*g**2 - 5*g - 148. Let n be t(15). Is -3\/1826 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 806.0039 millennia?\nAnswer: 8060.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r*r\/(r\/(((r*r*r*r**(3\/2)\/r*r)\/r)\/r)*r*r)*r*(r**(1\/3))**16)**23 assuming r is positive.\nAnswer: r**(5267\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462464373 a multiple of 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u + 20. Let c be i(-2). Let t(k) = 1572221*k**2 - 8*k - 4. Let d be t(c). What is d rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*k**3*q**3*x + 3050*k**3*q*x - k**3*x - 6543*k**2*q**3 - 7*k*q**3 - k*q - k*x - 23*q**3*x wrt k.\nAnswer: 768*q**3*x + 18300*q*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 7*a**2 - 7*a - 3. Let j be p(-6). Suppose 3*d - 8 = 4*c - 3*c, 0 = -4*c - 2*d + 10. Sort 23, j, c in increasing order.\nAnswer: c, j, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.6 and -3.3?\nAnswer: -48.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 297 by -299.\nAnswer: -297\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0.157, 19\/9?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = -3*o, 2*d - 5*o = 5*d - 28. Let v(c) = -4*c**2 + 8*c. Let f be v(2). Suppose d = -2*s + g, -g + 5 = -f*s + 2*s. Is s equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7249342 hours to minutes.\nAnswer: 43.496052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s - 5 = 0. Suppose 6*v = 2*v + 200. Suppose 3*a - 2*q = -9 + 34, 5*q = 5*a - v. Solve 2*u - 8 = -2*b + 6*u, -a*u = s*b + 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 * 30046\nAnswer: -6309660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/14 and 77\/15408?\nAnswer: 107856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Suppose -5*s + i = -5. Solve s*f - 8 + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52534 - -134366. What is p rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -41. Suppose a = i + 3. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10631\/4 + 2658. Let t = 0 + 3. Which is the nearest to r? (a) t (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1885003, -3769973, -5654943?\n\"Answer: -1884970*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from ppcpcppczcipcp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 749404366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -3. Let b(o) = -o - 3*o - h + 2. Does 8 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24911, 24910, 24909, 24908?\n\"Answer: -k + 24912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*c + 250, 2*y - 5*c = -2*c + 119. Calculate the highest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-4)\/(sqrt(18)\/sqrt(6)*1).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c + 0*c - 4*c + (-1 + 6 - 3)*(-c + 2*c - 3*c) - c - 1 + 1 + (-4 + 1 + 2)*(-2*c + c + 2*c) + c - 4 + 4 - 2 - 2*c + 2 to w + b*c and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 10*z + 9. Let o be c(11). Suppose -2*q + 2*s + 36 = 0, -3*q + s + o = -38. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 101, 114, 127, 140?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)\/a**2 assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u + 37. What is t(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-505)\/(-2828)*6*(-3)\/(-90)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 21. Let k(s) be the first derivative of -4*s + 0*s - 5*s**2 - 1 + p*s**2. Find the first derivative of k(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*w**2 - 15*w**2 + 17*w**2 + 15*w**4 - 14*w**2 wrt w.\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = g + 7, w - 17 = 4*w + 4*g. Let t be 12 - (26\/(-91) - (-144)\/14). Suppose -w = h - t*h. Solve -h = 4*s - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o**2 + 4 + 0*o**3 - 4*o - 1\/12*o**4. Let q(u) be the first derivative of v(u). Let t(s) = -2*s. Calculate q(t(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*h + 4*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281268000 rounded to the nearest one million?\nAnswer: -281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 5, -0.01038, 3\/13 in ascending order.\nAnswer: -1.2, -0.01038, 3\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 1700644?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(143) + (sqrt(143)*-2 - sqrt(143)))*3)\/(sqrt(539) + (sqrt(539) - (-5*sqrt(539)*-2 - sqrt(539))) + 5*sqrt(539)*2 + sqrt(539))*4.\nAnswer: -72*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Suppose -b - 2700 = -6*b. Let i(w) = b - 266 + 3*w - 276 + 0*w. What is -4*f(u) + 2*i(u)?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:47 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2790*z + 2786*z = 0, 0 = f + 11*z - 12 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*(-200)\/(-120).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 44*d**3 - d**2 + 1. Determine w(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257.\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2171\/112 less than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112656 - -15255?\nAnswer: 130133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/7178 + -149557\/88224798. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1 + 16*x - 14*x + 19*x**2 - 20*x**2. Let w(m) = 115*m**2 - 276*m + 138. Let j(r) = -138*k(r) - w(r). Let l(t) = 17*t**2. Give j(l(y)).\nAnswer: 6647*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416.77 rounded to zero dps?\nAnswer: -1417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-66)\/12)*(-3)\/7. What is the closest to -1\/4 in g, -6\/7, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-56)\/(-20))*(-20)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -74\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -6*r + 124. Let b = -50 + r. What is the units digit of (24\/b)\/((-2)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(1\/6)\/d)*d*d*d*d**(2\/7)*(d**(2\/19)*d)\/d*d**0)**27 assuming d is positive.\nAnswer: d**(44703\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.32372 decades in years?\nAnswer: 343.2372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-4))\/((-18)\/60))\/((-20)\/(-15960)*35)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5966946 and -79\/662994?\nAnswer: 5966946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1566*j. Let p(d) be the second derivative of d**3\/6 + 2617*d. Determine p(g(a)).\nAnswer: 1566*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4\/5 (c) 3\/4 (d) 7 (e) -0.2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 254*m + 69. Is l(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/9 (b) 0.5 (c) 2\/169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7\/443, -1, 1.1, 4, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5079.067 hours to nanoseconds.\nAnswer: 18284641200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 e when three letters picked without replacement from {p: 1, e: 1, s: 1, i: 6, d: 1, m: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-12) + (-2)\/(-3). Suppose y + 12 = 4*o, -y - o + 1 + 2 = 0. Solve 2*j + 8 = -l*m - y, 3 = -3*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*i = 5*z - 1, 4*z - 10 = 2*i. Suppose 2*d + 3*d = 4*c - 8, -d + 6 = z*c. Factor -6*j**3 - 8\/3*j - 8*j**c + 0.\nAnswer: -2*j*(3*j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1323 + 1428. What is the smallest common multiple of 280 and g?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7385972 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1702706, -6810822, -15324350, -27243290, -42567642, -61297406?\nAnswer: -83432582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 - 56\/90. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/11946 and -113\/98.\nAnswer: 585354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/364*154\/(-44).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 19 - 25. Suppose -16*g = -w*g + 2352. Is 45 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m + 201. Let z be b(31). Let c be 11\/(-9) + ((-55)\/z - -5). Put c, -6, -5 in increasing order.\nAnswer: -6, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -395*a - 603. Calculate w(0).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 + 5*s**2 - 2*s**2 + 282)*(s - 3 + 3)*(0*s + 3*s - 4*s).\nAnswer: -3*s**4 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d + 3*d. Let o(w) = w**3 - 3*w**2 - 3*w - 2. Let a be o(d). Solve 0 = -a*u, -2*x = -7*x + 4*u - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73524 - -3?\nAnswer: -73521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 27*h**2 - h + 66. Let k be n(27). Let g(q) = k - 88 + 39 + 2*q**2 + 0*q**2. Let f(c) = 2*c**2. Give g(f(u)).\nAnswer: 8*u**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14949.8 less than 0.0839356?\nAnswer: 14949.8839356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2 - 2)*(-65 - 78 - 62 + 220) in the form s*q + f and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 - 1)*(-1 + 3 + 0)*(2*w + w - 4*w + (-3*w + 2*w - w)*(1 - 3 + 3)).\nAnswer: 66*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*(sqrt(425) + (sqrt(425) - (2 + sqrt(425))) - sqrt(425))*-3*-3 + 4)*-5)**2.\nAnswer: 144400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 159, 530, 1027, 1644, 2375, 3214?\n\"Answer: -s**3 + 69*s**2 + 171*s - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/12)\/(6\/(-3))*-48.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -56 - 24. Suppose 2*b = 3*b - 4*i - x, -3*b - 5*i - 25 = 0. Solve b = 3*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 224*z**2 - 129*z - 129. Let q be f(-1). What is the greatest common divisor of 112 and q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000773279 rounded to seven decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 5169248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - 1.2. Which is the closest to -5\/2? (a) f (b) -0.02 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o = -6, 5 = n + 3*o - 0. Let b be (-2071)\/(-38) + (-2)\/4. Let k = -52 + b. Solve 5*s + 7 = -4*v - 2, -n*v + 18 = -k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:04 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -800, -1389, -1964, -2519, -3048, -3545?\n\"Answer: t**3 + t**2 - 599*t - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.06, 0.4, 0.22 in ascending order.\nAnswer: 0.06, 2\/11, 0.22, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 12*r**4 - 196*r**3 + 608*r**2 + 816*r = 0.\nAnswer: -1, 0, 6, 34\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:11 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105386\/715 + 1\/143. Let n = 92 + -240. Let w = t + n. What is the closest to 0.1 in -0.2, w, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 23. Let m = 14 + -12.87. Let c = -0.73 + m. What is the third smallest value in c, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsmhhzhihzshqzs. What is prob of sequence hh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 2\/130 - (-10 - -9). Are 0 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5) + (-342)\/(-90). Suppose -q - 4*r = -7*r - 30, 5 = -q - i*r. Calculate the remainder when (-688)\/(-12)*6\/4 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 34, -8 in decreasing order.\nAnswer: 34, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -22*i**4\/19 - 134*i**3\/19 + 318*i**2\/19 + 2230*i\/19 + 200\/19 = 0.\nAnswer: -5, -1\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 469895057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*(y**(2\/5)\/y)\/y*y*y*y*y)\/y)**31*y*y**2*y\/(y*y*y**(-2)*y)*y)**40 assuming y is positive.\nAnswer: y**4376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -3 (c) 2\/3 (d) 37 (e) 1 (f) 158\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.087, -0.2, -2?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 1187 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {v: 2, k: 1, s: 7, i: 6, q: 1, x: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -285*j**3 - 461397*j**2 + 490842*j - 29160 = 0. What is j?\nAnswer: -1620, 6\/95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997029\/162 - (-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432*v - 6980 = 427*v. Suppose -28*k + 536 = -v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 867618118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let o(s) be the second derivative of 1586*s**3\/3 - 30*s + 6. Calculate i(o(v)).\nAnswer: -20123168*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 59*n**2 - 32*n - 62. Let p be j(-29). Suppose 0*r = -p*r + 550. Solve -5*l + r = i, 3*l - 6 + 3 = -4*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2365 by 11.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 5, u: 4}. What is prob of picking 1 u and 1 c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 3, 5\/4 in decreasing order.\nAnswer: 3, 5\/4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 35. Let s(g) = 130*g - 506. What is the lowest common multiple of s(4) and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 0*y + 0*y - 40*y**2 in the form q + t*y + x*y**2 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 162. Let g = -52 - q. Is 12 a factor of g - (4\/2 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.05. Let f = 40.15 - t. Let r = -37.1 + f. Round r to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 280562004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*9)\/3*1. Let f be (16\/6)\/(-2)*l. Solve 3*u - 2*u - 3*n + f = 0, 3*u + 12 = -2*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 18 - 77. Let b(r) = -r - 4. Give b(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 61, 96, 135, 178, 225?\n\"Answer: 2*f**2 + 25*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -547*g + 1702. Let z be y(3). Solve -z + 95 = -17*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -132, -276, -514, -846, -1272, -1792?\n\"Answer: -47*j**2 - 3*j - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100328643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 - 27*d**2.\nAnswer: 3*d**2*(d - 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(1\/35))**18\/(((a\/((a\/a**(-1\/17)*a)\/a)*a)\/a)\/a**(5\/2)))**46 assuming a is positive.\nAnswer: a**(1041279\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 7. Let j(b) = 3*b**2 + 6*b + 6. Let n be j(-4). What is the remainder when n\/4 - (-1)\/(-2) is divided by h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-268)\/12)\/((-32)\/1152)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19918, -19775, -19646, -19537, -19454, -19403?\n\"Answer: -o**3 - o**2 + 153*o - 20069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-2)*7\/(-49)*288\/(-6)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-266))\/(-1 + 16\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1960707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8401880 or 8401881?\nAnswer: 8401881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 4*f**2 - 8*f + 13. Let x be s(6). Let k = x + -33. Suppose 3*v - 217 = k*c - 5*c, -2*c + 142 = 2*v. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 12*f + 10. Let t be g(-10). Let m = t + -91. What are the prime factors of m?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 10 - 16*w**2 + 16*w**2 + 9*w. Determine j(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -63, -73, -87?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 597 + -532. Is 6 a factor of (-2)\/13 - ((-21915)\/r - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, 1 in descending order.\nAnswer: 12, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**9\/83160 - z**8\/12320 - z**7\/4620 - z**6\/3960 - z**4\/12 + 3*z. Let b(w) be the third derivative of y(w). Factor b(a).\nAnswer: -2*a*(a + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 4, -0.4, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/7 and 44\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 825779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*s - 32 = 0, -6*n + 3*s + 3 = -3*n. Solve -3*v - 3*h + 5*h - 9 = 0, -n*v + 11 = 5*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1708419, -3416838, -5125257, -6833676?\nAnswer: -8542095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421506?\nAnswer: 2, 3, 23417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 - -190. Let u = -12 - o. Suppose 2*m - 3*m = -u. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/6 - 13*n**2\/2 + 5*n. Let j be k(-14). Calculate the remainder when j*(1 + 36 + -2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -89998*z**2 - z - 1. Let h be u(1). Round h to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p - 59. Let l(o) = -2*o**2. What is h(l(s))?\nAnswer: -42*s**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/27695*(-40)\/24)\/((-2)\/4)?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:16 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0)\/(-2)*0. Suppose 14*p = 16*p - 12. Let y = b + p. Solve 5*a = -5*w - 15, 3*a + y = w + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7145767*i**3 + i**2 - 13595*i - 22.\nAnswer: 42874602*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-948)\/(-18)*(3 + -6). Let h = f + 171. Let r(i) = -4*i**3 + i**2 + 6*i + 6. Let k(j) = 9*j**3 - 2*j**2 - 13*j - 13. Calculate h*r(t) + 6*k(t).\nAnswer: 2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -65, -2 in descending order.\nAnswer: 2, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.795 * -13.733.\nAnswer: -134.514735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 19*s - 9. Suppose 0 = -2*t + k - 8, 4*t - k + 18 = -0. Let l(p) = -4*p**2 - 28*p - 13. Calculate t*l(n) + 7*d(n).\nAnswer: -n**2 + 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 3. Let c(j) = -246*j + 4. What is -b(w) - c(w)?\nAnswer: 248*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 3255097 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-24)\/(-9))\/(-4))\/3. Let s = 3 + -4. Is s < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/3 - 2\/(-6). What are the prime factors of o*(-2)\/4*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 + -10)\/(-1*7). Let l = -995\/4 + 207. Let w = l + 42. What is the closest to 0.3 in w, a, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 3 + -2 + 9 + (6 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 194 = 8 + 36 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 15. Let a(p) = p - 1. Let b(h) = 6*a(h) - v(h). Let y(k) = 3*k + 26 + 0*k - 9 + k. Give -5*b(r) + 3*y(r).\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*g + 3*t, 2*g + 3*t - 7 = 6*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1765409676 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 97. What is the least common multiple of y and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 2*h**2 + h**2 - h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/5*(-10)\/3. Suppose -4*j = x*b - 20 - 32, -4*b = -3*j - 59. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.163 and 0.4.\nAnswer: -0.0652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -873 - -1827986?\nAnswer: 1827113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 0. Suppose 4*t - u = -m, -u = -5*t + 3*u - 15. Let a be (-15)\/(-36) + 2\/8. Is t > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*q + 86*q + 70*q + 72*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3818 and -5317.\nAnswer: -20300306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h - 6. Let q be u(2). Solve q = -4*p - 6 - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(4032) - sqrt(4032))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 22*l - 30*l**2 + 24*l - 48.\nAnswer: -30*l**2 + 2*l + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -4. Let n(m) = -13 + 41 + 6*m - 15 - 11. Give n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 58. Let o(n) = -4*n. Give u(o(c)).\nAnswer: 32*c**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 16, 37, 66, 103, 148?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 4. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-303)\/(-90) + (-10)\/60. Determine m, given that -16 - 144\/5*m + 88\/5*m**3 + 12\/5*m**4 - y*m**5 - 4\/5*m**2 = 0.\nAnswer: -5\/4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4327 is divided by 289.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q = 4*s - 6, -2*q = -4*s - 8. Let j be (-8)\/(-20)*(2 + 3). Find the second derivative of 0*o**j + q*o**2 + 0*o + o wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/810*-35 - (-2)\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20414019 and 909?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1338 (base 14) to base 7\nAnswer: 12601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -29929*l**3\/7 + 3384222367*l**2\/7 - 11178272*l + 452300\/7 = 0.\nAnswer: 2\/173, 113075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 21 = -5*n. Let i(a) = 2*a + n*a - 5*a + 0*a. Let l(b) = 128137*b**2 - 64062*b**2 - 64054*b**2. Determine l(i(w)).\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 - 3*y**3 - y**3)*(15 - 27 + 10 + 2*y).\nAnswer: -16*y**4 + 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8599 (base 10) to base 4.\nAnswer: -2012113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12183.\nAnswer: 3, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 1. Calculate c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94661*f**3 + 3*f**2 + 479674*f?\nAnswer: 567966*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 281800307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/5, -0.3, 19, 2\/25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*p - 19*p + 148*p + 0*p + 47*p as t + v*p and give v.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u*u)\/u)**(-24\/11)*(u**(-1\/3))**(-3\/44)*u\/(u*u**2)*(u**(-5)\/u)\/u*u**(-2\/5)*u**(-4)\/u*u assuming u is positive.\nAnswer: u**(-2943\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s - 5*s)*(-2*s + 0*s - 2*s) + s**2 + 15 - 2*s + 3*s - 13.\nAnswer: 9*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/(r\/r**(-2\/9))*(r**(-2\/9)*r)**(-40\/9))**(-2\/45))**(-23\/6) assuming r is positive.\nAnswer: r**(-14306\/10935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*x + 3*m, m - 29 = -4*x + 32. Suppose 4*j - x*j = -1080. What is the remainder when j is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.31 - 1.69. Let v = 5.7 - 21.1. Let j = v - -15. Put -0.07, d, j in decreasing order.\nAnswer: -0.07, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-200)*25)\/((-6)\/(-8))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/7, 22, 0.07?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oncnw. Give prob of sequence noc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88011 by 9779.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 10) to base 3\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 7*s - 43*s. What is the closest to -12 in -1, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1351*-387172\nAnswer: 52306.9372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z + 4*c - 36, -3*z = -3*c - 33. Let o be 84\/z + 8\/(-20). Suppose -16 = -5*t + j, 4*t + 5*j = 7*j + 8. Solve -t*x - 8 = -o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*c - 25 = 0, -6*w + 2*w + c + 5 = 0. Suppose i + 3*j - 3 - 11 = 0, w = 3*i - j - 32. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1\/5)))\/f**(3\/8)*(f**3*f*f)\/f**(-2\/21)*f\/f**5*f\/f**(-4)*(f\/(f*f\/((f*f**(2\/3)\/f*f)\/f)*f))**31 assuming f is positive.\nAnswer: f**(-30083\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7724, -7726, -7728?\n\"Answer: -2*b - 7722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:17 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207660.\nAnswer: 2, 5, 7, 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:59 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7494 = 22*z - 21882. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 + 79*h**2\/7 - 22*h.\nAnswer: -h*(h - 77)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -1\/6 (c) -18 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -1.97. Let t = 242\/353 - 2753\/2471. Which is the nearest to 0? (a) -2\/23 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 5*v**4\/8 + 25*v**3\/6 + 10*v**2 + 10*v + 137. Suppose f(z) = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/3 - 9131*u**3\/3 - 322792*u**2 - 8445492*u + 8771328 = 0.\nAnswer: -9024, -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2055.5 - 2803. What is h rounded to the nearest ten?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6815068 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - -44 - (1 + -5). Suppose -2*v - 5*j - 6 = -v, 10 = -5*j. Suppose d - 421 = -v*a. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 - o**3\/3 - o + 1. Let x(h) = 4*h**3 - 2*h**2 + 9*h + 8. Let a(z) = -5*j(z) - x(z). Does 5 divide a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43273821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/20 - (-21)\/(-15). Let p(r) = 2*r**2 + 3*r - 1. Let z(q) = -q**2 - q. What is s*p(n) - 6*z(n)?\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + (-5 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -19277391*t + 3 + 19277396*t + 3 + 4*t**2. Calculate u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4981*k - 4860*k = -1936 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c + c - 7*c)*(382*c - 1132*c + 518*c) to the form a + q*c + g*c**2 and give g.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8480*x + x**2 - 8480*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 29*v - 224. Calculate w(18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4807*u**3 + 78134*u - 78134*u.\nAnswer: 4807*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*j - 15. What is the greatest common factor of 50 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -151325394.76?\nAnswer: 151325395.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(sqrt(78) - sqrt(78)*-2*-3 - (2*(sqrt(78)*2 - sqrt(78)) - sqrt(78))))\/((sqrt(144) - -1*sqrt(144)*2)\/sqrt(6)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5) + (-4)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255 divided by 5?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 - 5644*p + 28120 = 0 for p.\nAnswer: 5, 1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24\/23 (b) -0.33 (c) -3 (d) -1\/5 (e) -5\/2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 263784 + -64115. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.09 (b) -10.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 1825.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/3 (b) 4 (c) 2\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -26*p**2 - 42*p + 7. Let l(o) = -o**2 - 3*o + 1. Give -9*l(w) + v(w).\nAnswer: -17*w**2 - 15*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = -71*m + g, -9*g - 5*g - 24 = 5*m - 8*g - 8*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 + 5*m - 2. Let w be q(4). Suppose -2*v = -2*a + 8, 2*v - 1 = -w*a + 7. Calculate the remainder when 19 is divided by v\/(-2) + 7 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/30 - 3*w**2. Let j(s) = -5*s. Let b(p) = 4*p. Let c(t) = -3*b(t) - 2*j(t). Determine v(c(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*0\/2. Let l be (-2)\/(d + -2 + 0). Solve p = 2*p + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142069522.\nAnswer: 2, 181, 11442181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 4 (b) 3 (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b**3 - 7*b**2 + 11*b + 4. Let f be p(3). What is the highest common factor of f and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2 - 30\/12))\/((-14)\/(-56))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 10)*(19 + -1). Let p = 41 + v. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16435 less than -12917.6734?\nAnswer: -12917.50905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccakskckaccc. Give prob of sequence sk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ynfffnfynfnnyfyf.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 + 3*z + 2 + 1 - 10*z**2 - 2*z**3. Suppose 0 = -2*w - y - 9, 28 = -4*w + 250*y - 254*y. What is r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.4 + 8. Let j = 14.75238501 - 0.35230401. Let o = j + k. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 489. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/3 + 2*h**4 + 40*h**3\/3 = 0.\nAnswer: -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 3*f**2 - 6*f - 3. Let k be (-2 - -1)\/(2\/(-8)). Suppose 0 - k = j + y, -2*j - 8 = -y. Let l be q(j). Solve c - l = -a, 2*a - 4 = -c + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1371840 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 238984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4121 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 23. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63969, -63862, -63537, -62886, -61801, -60174, -57897, -54862?\nAnswer: -50961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78909, -78985, -79069, -79167, -79285, -79429, -79605, -79819?\nAnswer: -80077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v**2 - 355*v**3 + 78*v**2 + 353*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192224 is divided by 96089?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(57)\/(-1*sqrt(432)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(0*z + z - 3*z)*((0 - 2*z + 0)*(1 + 2 - 2) + (-8 - 13 + 8)*(2*z - z + z) + (3 - 2 + 1)*(-1 - 2*z + 1)).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l - 20 - 4 = 50. Which is smaller: l or -9\/2512?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/60 - b**5\/30 + b**3\/3 - 22*b**2. Let d be q(1). Factor -2*j**d + 14*j - 19*j - 3*j**2.\nAnswer: -5*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 4. Give n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1204 + 133. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3329 or 63264\/19?\nAnswer: 63264\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:24 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -34*o + 228. Determine w(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*v + 35, -3*v - 71 + 82 = -5*q. Which is the nearest to 0? (a) q (b) -0.9 (c) -5 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51 - 2.49. Let p = 0 + 3. Suppose 4*l + p = t, -3*l = 5*t - 8 - 7. What is the closest to 0 in v, l, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2364, 2399, 2448, 2505, 2564, 2619, 2664?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42152, 42158, 42166, 42176, 42188, 42202?\nAnswer: 42218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 + -1)) + (-1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200105?\nAnswer: 5, 31, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1332221 - 4?\nAnswer: 1332215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 11. Suppose -l - 69 = -3*m, -46 = -2*m - l - x*l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + (-116 + 92 - (8 - 27))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 8*l - 5. Let q(j) = j**3 + 6*j**2 - 2*j - 3. Let k be q(-6). Determine g(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40235.527 + -40302. Let h = b - -67. Round h to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/(-6)*(-4)\/(-6). Suppose 1 = 4*x - h. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 56*u**2 + 293*u - 62. Determine o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34743, -34742, -34741, -34740, -34739?\nAnswer: -34738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a - 4*s + 188 = 0, -5*s - 134 = -4*a. Suppose 0 = -4*y - 4*y + 32. Let u = a + y. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {v: 1, j: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11699 - 11698.6. What is the closest to 1 in 2\/7, 0.2, s, 0.07?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3249 + -779. List the prime factors of q.\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 3227542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10685344 and 9080.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:35 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 306 + 3278 = 5*m, -5*m - 2*p = -3592. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 + 52 + 68*t - 12*t + 26*t + 32*t**2 = 0. What is t?\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-8)*v)\/(v\/v**6)*v*v*v**(5\/3)*(v\/(v\/v**(-1)))\/v*v assuming v is positive.\nAnswer: v**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9351 + -0.5?\nAnswer: -9351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107507\/14 - 7674. Let o = 74 - 50. Find the common denominator of r and ((-282)\/o)\/(14\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z**2 + 2*z + 1. Let d be w(-1). Let p = -1.78 + 1.58. What is the closest to d in 1, p, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12)\/(d*d*d\/((d\/d**37)\/d)*d))\/(d**32\/(d**(-5)\/d)) assuming d is positive.\nAnswer: d**(-947\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -677*l - 785*l - 47299 + 142329 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 5*j**2 + 5*j - 18. Let w be y(-8). Calculate the common denominator of ((-11)\/(-704))\/(2\/w) and -49\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - f + 33 - 3*f. Let l be q(14). Solve -4 = -4*h - 4*c, -h + 9 = h - l*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9325.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1750, -3301, -4862, -6433?\n\"Answer: -5*p**2 - 1536*p - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(6*(-3)\/(-24)). Suppose -n + d + 1 = 0. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*p*z**5 + 4*p*z**2 - 10*z**5 - 3*z**2 wrt z.\nAnswer: 3360*p*z**2 - 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiviviiv. What is prob of sequence iiv?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 626836 = 626836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 169?\nAnswer: -4\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 387, 391, 395, 399, 403, 407?\n\"Answer: 4*d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 400372 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406504 is divided by 81290.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose 3*l = b*y - 43, 5*y - 36 = -7*l + 3*l. Let g be (-26)\/(-7) + y\/28. Solve -16 = -g*j - 0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.05478.\nAnswer: 0.02739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 3, i: 1, k: 1, j: 1}. Give prob of sequence jci.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = -43. Suppose 0 = -4*d + 35 + k. Calculate the remainder when 29 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -375816 in 0.2, 4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*1\/9)\/((-299)\/10764). Let f(z) = -6*z + 4. Let y be f(-3). Solve -18*j = -y*j - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*k + 850, 3*k - 20 = -k. Does 17 divide (m\/(-3))\/(44\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/5 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - h - 2244 = 457, -h = 3*n - 2699. Round n to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17675 and 122311?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2341\/5 - -468. Which is the nearest to 1\/2? (a) 1 (b) -1\/7 (c) 4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79893 minus 81.6?\nAnswer: 79811.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 7*t**2 - 3*t - 22. Determine j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**3 - 9*j**2 + 6*j. Let y(k) = -5*k**3 + 3*k**2 - 2*k. Let d = -19 - -36. Let h be 6\/(-5)*-5*1. Let u(r) = d*y(r) + h*s(r). Calculate u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3716, 4, -2, 7 in ascending order.\nAnswer: -3716, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -29*y - 57. Let a be h(-10). Let s = a - 204. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 25 in decreasing order.\nAnswer: 25, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 346, 347, 348?\n\"Answer: y + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12656240 or 3?\nAnswer: 12656240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 5. Let r = -6 - y. Suppose 3*j = -r*i + 229, -5*j = -7 + 32. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 15. Suppose -5*r + r - 16 = 0. Let t = x + r. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/(135\/(-10))*12?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 3 = 69 - 28. Let t be (-150)\/36 + 1\/6. Which is the nearest to -0.2? (a) -3\/7 (b) -0.5 (c) z (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-132)\/(-2) + (2 - 0). Differentiate 5*n**3 - 22 - 12 - 21 + d wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14415\/7739 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/104 and 83\/7449?\nAnswer: 59592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12920, 51613, 116100, 206375, 322432, 464265, 631868, 825235?\n\"Answer: -c**3 + 12903*c**2 - 9*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*w + 13 = 164*w - 52 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*1\/3*-1. Let a be 44\/6*(-4 - p). Let x = -1 - a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 1 + 0 - (0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46242951 - 46242948.8999037. Let f = 2.1 - t. Round f to 6 dps.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.7 - -12. Which is the nearest to 0.2? (a) -0.2 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142790897 divided by 142790897.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 10\/3*w + 2\/3 - 4*w**4 + 10\/3*w**2 - 10\/3*w**3 = 0.\nAnswer: -1, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2820 + 2*t**3 + 9315397*t**2 - 9315397*t**2 as x*t + k*t**2 + c + v*t**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0*p**2 + 1\/2*p**3 + 263*p - 1\/40*p**6 - 3\/80*p**5 + 1\/4*p**4 + 0. Factor y(d).\nAnswer: -3*d*(d - 2)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 10*y + 5132 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.74 + -0.26. Let y = 7995 + -7994.9. Is y != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Suppose -3*t + 5*d + 25 = 0, 0 = -j*t - 2*d - 7 - 3. Solve -2*s + 5*s - 3 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373310.\nAnswer: 2, 5, 7, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 461 - 484. Let f(s) = 10*s**2 + 16*s - 65. Is f(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 13350126?\nAnswer: 13350126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(78\/15 + -5). Which is the closest to 0? (a) y (b) 17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 132*t - 6534.\nAnswer: 2*(t - 99)*(t + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759218 divided by 293203?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiiiiivvviiiiiiii. Give prob of picking 1 i and 1 v.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 252.5347 and -0.4?\nAnswer: 252.9347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 56 - 52. Sort b, -10, -3.\nAnswer: -10, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5822616 divided by -332.\nAnswer: 17538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 - 4*t - 10. Let a(q) = 3*q**2 + 2*q + 5. Determine -5*a(i) - 2*x(i).\nAnswer: -5*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 43) + 0 - (13 + (-41 - 2 - -23))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*d**3*i**2 + d**3*i - 48958*d**3 - 3698258*d**2*i**2 - d*i**2 - 2*d wrt d?\nAnswer: -414*i**2 + 6*i - 293748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*h - 3*h - 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 0*w**2 + w**2)*(-w**3 + 2*w**3 - 5*w**3).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let v = 0.5 + -0.5. Which is the biggest value? (a) v (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.64 + 0.64. Let u = 42901\/9 + -4767. Which is the nearest to u? (a) -0.08 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76585 and 17191080?\nAnswer: 292248360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -83, -12, -356, -16 in descending order.\nAnswer: -1, -12, -16, -83, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-8 + -6 + 23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngmvokvvnnnnmvvo. Give prob of picking 1 o, 2 v, and 1 n.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggcggcgcggggggg. What is prob of sequence ggcg?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 9, 4, 31 in ascending order.\nAnswer: 0.2, 4, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1 - -3)*1. Let r be (-7)\/(-18)*44\/77. Is l at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, -1, -10, 3, 50, 117 in decreasing order.\nAnswer: 117, 50, 15, 3, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n. Let k(c) = 4 + c + n*c - 2 - 3. Calculate the remainder when 13 is divided by k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.55 - 47. Let t = 0.35 + j. Which is the fourth smallest value? (a) 2\/13 (b) 2 (c) 1\/2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/53, -5, -4, 50, 5?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = -4*p + 22, -4*p + 3*z + 6 = 0. Suppose o = p*o - 8. Suppose 4*y + 64 = o*d, 6 = -d - 3*y + 26. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 5449689.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10083*h**2 + 5051*h**2 + 668 - 668 + 5042*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:34 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(80))*4)**2.\nAnswer: 384*sqrt(5) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*r - 5*g, -5*r - 17*g + 12*g = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f*m**3*r + f*m**3 - 6*f*m**2*r + 66*f wrt r.\nAnswer: 38*f*m**3 - 6*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2 - 5 - 21*t - 10 - 17 + 4*t**2 - t**3. Let n be i(12). Solve -n*r - 10 = 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/39)\/(6\/4). Let i(p) = p + 4. Let y be i(-5). Sort s, 4, y in descending order.\nAnswer: 4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**11*p)\/(p**(-1\/11)*p))\/((p*p**(-2\/9))\/(p*p\/p**0*p*p)) assuming p is positive.\nAnswer: p**(1417\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -919\/2 - -459. What is the second biggest value in p, -1\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1413790976 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 + p - 1. Let q be z(-3). Suppose 2*t - 2 = 0, -4*k = -3*k - q*t - 14. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-66)*125\/(-200)*2\/5\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*g**2*s + 155*g**2 + 89623*s wrt g?\nAnswer: -210*g*s + 310*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96123716005 - 96123716005 + 10*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + (-3 - -4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 72 - 29*u + 26*u + 122.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-18)\/(-4)) + 4750\/2500?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65.88 + -150.5. Let n = b + 86. Round n to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r - 35*r = -20*j + 25*j - 66 - 23, 0 = -2*j + 38 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-28)\/(2464\/418) + 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 11*h. Let w be n(-5). Suppose 6*x = x + w. Suppose g = 5*c + 35, -2*c + x = -5. Is 50 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -407, -406, -405, -404?\n\"Answer: c - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -98, -243, -446, -707?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 7*a + 5*a - 14*a + 561 - a**3.\nAnswer: -a**3 + 3*a + 561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 4 + 5\/2*d**2. Let y(u) = 4*u**2. Calculate y(s(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1559427 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483 and 98877?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 26*n - 59. Let h = 13886 + -13897. What is w(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 26 = 11*w, -4*s + 13502 - 13482 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -2*s**3\/3 - 7*s**2\/2 - 10*s. What is the units digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154065 (base 7) to base 14.\nAnswer: -b035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c + 2)*(-c**2 + 3 - 3) - c**3 - c**3 + 4*c**3 + 3*c**3 + 0*c**3 - c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -24. Suppose 5*c + 0*c = -z*f + 332, 5*c = 2*f + 348. Suppose -c = -3*w + 28. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.677 - -0.177. What is the second biggest value in -4, q, 1, -1\/6, -29?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 120 = -5*f. Suppose -5*q + 2*q = -f. Solve 2 = -y + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + -3 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + 5 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbbbxxbbxbxb. What is prob of picking 2 b and 1 x?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 0)*(-5 + 4 - 1)*(-4*g + 3*g - 1302 + 1658) to the form i + k*g and give i.\nAnswer: -3560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990 is divided by 111.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 761 (base 12) to base 8\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 1, k: 2, j: 1, d: 2}. What is prob of sequence ddnj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 - 3*b**3 + 4 - 2*b + 2*b + 2*b**3. Let s be i(-5). Suppose j - 17 = s*v + 22, -3*v = -5*j + 161. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -475.2528 - -475. Let w = l + -0.0472. What is the third smallest value in w, -5\/3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626 divided by -70.\nAnswer: -313\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95356 at least as big as 95356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**4 + 2*m**3 - 15102932*m + 35775989 wrt m?\nAnswer: 4*m**3 + 6*m**2 - 15102932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 18*n**2 + 3*n - 10. Let p(b) = -3*b**3 + 35*b**2 - 5*b + 20. Let l(o) = 6*p(o) + 10*u(o). Find the first derivative of l(t) wrt t.\nAnswer: 6*t**2 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Which is the sixth biggest value? (a) 4\/5 (b) -1 (c) 2\/7 (d) -25 (e) 0.4 (f) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0 - 2. Let v be -16*2\/((-2)\/g). What are the prime factors of (-12)\/v + (-107)\/(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b**2 + 15 - 4 + 15*b**2 + 3 in the form x*b + z + u*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**4*h + c**2*h**2 - 2*c*h - 5*h**2 - 5*h wrt c?\nAnswer: -36*c**2*h + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 r, and 1 u when four letters picked without replacement from {u: 1, r: 1, d: 2, t: 4, o: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-90)*(3 - (9 + -1)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032003 - -21203?\nAnswer: 3113212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v = -20*v - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.5, 2\/5, 28 in descending order.\nAnswer: 28, 2\/5, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(90\/(-58)) - (2 - -1). Let l(y) be the second derivative of -2\/3*y**2 + o*y**3 + 2*y - 1\/36*y**4 + 0. Factor l(v).\nAnswer: -(v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(64\/(-40))\/8\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84402797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 34*v - 28*v. What is the nearest to -0.1 in v, 106, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Suppose -3*d + 86 = 2*u, -4*u = -2*d - 2*d + 128. Suppose -o = -6*o - d. Let t(l) = -l**3 - 6*l**2 - 2*l - 6. Let n be t(o). Determine a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7*h + 633 = -2*h, 5*o - 4*h = 1632. Let a = 2320\/7 - o. Find the common denominator of a and 59\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (14 - 27) + (-20 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -1, 3 in increasing order.\nAnswer: -8, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/3 + 19*i**3\/6 + 15*i**2\/2 - 4*i - 16. Suppose -7*c - 32 = -3*c. What is the tens digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-8))\/16*1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -499\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**3 - 2*r**2 + 28*r - 98. What are the prime factors of t(10)?\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 - 2001*x**2 + 1003995*x - 2994003 = 0.\nAnswer: 3, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2175 divided by 3?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 56.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250505001 + -2?\nAnswer: -250505003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*v**2 + (-219 + 219 - 7*v)*(-3*v + 2*v - v) + v**2 + v**2 - 3*v**2)*(269 + 261 - 530 - 389*v).\nAnswer: -5835*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 36. Let d(o) = -5*o + 17. Let b be d(3). Let i(v) = v - 4 + 4 + j + 3*v**b. Determine i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 2*n = -212992, 5*w + n - 1064996 = 0. What is w rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156)*-1 - sqrt(156)))*4)\/((sqrt(144)*-3)\/sqrt(12)) + 1 + 4.\nAnswer: 4*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 567 - 422. What is the highest common divisor of t and 7685?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 2, c: 6, o: 4}. Give prob of sequence ooo.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993026 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151.1 + -148313.82.\nAnswer: -148464.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2*(3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20*z**(-5\/2) assuming z is positive.\nAnswer: z**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16562740 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + 1 + (sqrt(5) - (-2 + sqrt(5) + 1)**2) + -4)*6.\nAnswer: -60 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q - 3*q)*(1 - 3 + 3)*(-4 + 2 + 7).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 73*h**2 + 103*h - 357. Give d(35).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-1)\/(-4)). Suppose -22 + 0 = y*v. Let k(r) = -3*r + 2. Let x(f) = 16*f - 10. Calculate v*k(n) - 2*x(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-9))\/(4\/(-6)). What is the nearest to 2 in 4\/3, 2, q, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 2. Let z be u(-2). Let p be (-2)\/((-4)\/6) - z\/(-2). Suppose 4 = -3*v + 4*v + p*s, -3*v - 3*s = -18. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 244?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(((o\/(o\/o**(5\/4)))\/o)\/o*o))*o)**(-2\/9) assuming o is positive.\nAnswer: o**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/220 - 59*h**5\/165 - 20*h**4\/33 - 13555*h**2. Factor g(f).\nAnswer: 2*f*(f - 40)*(3*f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0*m - 1\/12*m**4 - 3*m**2 + 0 - 1\/2*m**3. What are the prime factors of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 81 - -1 - (-1)\/(-1). Let i be -1 + 62 + (15 - (-252)\/(-18)). Let b = a + i. Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {g: 3, y: 4, x: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - -0.35. Sort 2, 1\/3, i in ascending order.\nAnswer: 1\/3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5078 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12169 rounded to 2 dps?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(250\/(-130))*1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + k + 2*k - 21, 4 = 2*k. List the prime factors of v\/3*3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 42. Suppose 3*r + 4*p = -b, -6*p - 13 = r - 3*p. Suppose -r*f = f - 144. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.96839 rounded to one dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - h - 6. Let x(c) = -c**3 - 4*c**2 + c. Let z be x(-4). Let r(m) = -4*m**2 + 2*m + 13. What is z*r(f) - 9*w(f)?\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 397*x + 400*x - 193 = -23, -5*r + 2*x - 174 + 46 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 568*n - 569. Let x be m(-1). Let p = -49 + 199\/4. Which is the third smallest value? (a) -3 (b) x (c) p (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13*z - 257. Determine g(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1338 and 24.\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.8, 2\/11, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5457215 to two decimal places.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -63?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 2\/17 (c) 2 (d) -0.84 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**2\/2 + 14*o - 34. Let j be r(-7). Solve -2*l = j - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a**2 - 3*a + 7. Let f be 26\/(-4) + (-1)\/(-2). Let g(y) = 3*y**2 - 26*y - 24. What is the remainder when w(f) is divided by g(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((2*(sqrt(85) + (-1*sqrt(85) - sqrt(85))) + sqrt(85))*1)\/((sqrt(180) - sqrt(45)) + sqrt(45)*-3)*-3)**2 + 3.\nAnswer: -3*sqrt(17) + 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(84)\/sqrt(7)) + sqrt(24)\/sqrt(8)*3)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 179590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 30 = -6102732*s + 6102729*s, 4*n - 5*s - 23 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -6 (c) -1\/10 (d) 71\/3 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 0 - 1 + c - 4 + 8*c**2 - 1 + 5. Determine h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 988, 990, 992?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -18024?\nAnswer: -19\/18024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3, x: 4, f: 6}. What is prob of picking 1 x and 1 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 + 4*w**2 - 6*w**2 - 12 = 0 for w.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r + 7. Let n = 16 - 22. Let a be t(n). Let i = a - 4. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.748520906 to 2 decimal places.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1947235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.073 (c) 0 (d) 1\/3 (e) 0.4 (f) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, -2, -4, -1 in decreasing order.\nAnswer: 13, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u - 7. Let r(k) be the third derivative of -k**4\/6 + 2*k**3\/3 - 2709*k**2. Calculate 6*o(p) + 11*r(p).\nAnswer: 10*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4667*y**4 - 849*y**2 wrt y.\nAnswer: 112008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7424.2+32828345\nAnswer: 32820920.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.3 (b) 3 (c) 17 (d) -8290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 5517*i**2 - 5520*i.\nAnswer: 3*i*(i - 1)*(i + 1840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21043625 divided by -1975.\nAnswer: -10655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-4)\/((-112)\/(-12)). Which is the smallest value? (a) 1 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1260*i**2 - 2519*i**2 + 3*i**3 + 1259*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/873 and -91\/4608?\nAnswer: 446976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -117, -113, -107?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -1226*o + 1238*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00237073 to five decimal places.\nAnswer: -0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19808*g - 24903107 + 24903107 to u*g + v and give u.\nAnswer: 19808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50103 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**6\/1260 - t**5\/210 + 5*t**3\/3 + 2. Let p(l) be the third derivative of i(l). Factor p(b).\nAnswer: -2*b*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 + 2. Let s(w) = 107*w + 2479. Calculate the least common multiple of s(-23) and h(-3).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14333575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -104. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 24187, 2, -4.\nAnswer: -4, 1, 2, 5, 24187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 3*p**2 - 3*p + 5. Let d be z(5). Let o = 7 + d. Suppose -2*h + 9 = u + 1, 5*h = -20. What is the remainder when o is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1 - (3 - 13)) + -4 + 7 - 25.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -0.1 (c) 1\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/40 (b) 0.5 (c) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7808 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70222671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*q = -782*q - 260 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 - 3*w + 1. What is m(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + 0. What is the greatest common factor of 240 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 4*r**3 - 3*r**3)*(29 - 6 - 15) + (-5 - 5*r**2 + 2 + 7)*(-4*r + 1 - 1).\nAnswer: 12*r**3 - 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 23950 - 23950)*(2*s**3 + 4*s**3 - 4*s**3) + (1 - 1 - s)*(0*s**3 - s**3 + 3*s**3).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2455363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 33. Let b be c(15). Suppose z - 369 + 75 = 2*l, -4*z + 1143 = b*l. 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: Suppose 0 = -5*s + 5, i + 2*s - 42 = 2*i. Let d be 4\/22*10\/i*-4. Let k = 2\/17 + -23\/51. Which is the closest to 1? (a) d (b) k (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = j - 4*j + 2*t, 2*t = 15*j + 61. Put 203, -2, -1, j, 4 in descending order.\nAnswer: 203, 4, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = w + 7*q, 2*q = -5*w + 19. Suppose 28 = -g + w*g. Suppose -11*a + 291 = -g*a - c, -2*a = 4*c - 132. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 235*v**2 - 12615*v - 3890. What is t(-280)?\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (144\/(-42))\/(70\/(-245)). Calculate the highest common factor of v and 1770.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18349 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44\/19, -4, 3, 6\/31, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*y + 16. Calculate the lowest common multiple of 4 and (y\/2)\/(3\/(-12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 28*b + 138. Let p be n(21). What is the tens digit of 1797*p*4\/(-54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 19)*(t - 5*t + 3*t).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**2 + 373 + 294*j + 401 - 6*j**2 + 169*j + 542 wrt j?\nAnswer: -6*j + 463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2272712262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 4*l + 6. Let y be -3 + 0 - (l + 18354909). Let t = y - -10454913. What is t rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245 = 22*u - 7559. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**3 - 4*a**2 + 6*a - 4. Let f be u(2). Let l = f + 19. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1747 (b) 2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -5, -3 in ascending order.\nAnswer: -8, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2. Let v(t) = -205*t. Calculate v(x(s)).\nAnswer: -820*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6466.841 millennia?\nAnswer: 64668.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + ((0 + (sqrt(2178) + (sqrt(2178) + sqrt(2178) + 2)**2 - sqrt(2178)) - sqrt(2178)) + 1)*2).\nAnswer: 1848*sqrt(2) + 69724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3830 - 3829.996222. Round r to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 33*t**2 - 8*t + 2. Let j(n) = 7*n**2 + 2. Let s(m) = -m**3 + 48*m**2 + 5*m + 19. Let z(c) = -10*j(c) + s(c). Calculate 5*g(u) + 8*z(u).\nAnswer: 2*u**3 - 11*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436554 is divided by 15004.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22894 - 0.07106. Put 5, -1\/6, -1, d, -0.1 in ascending order.\nAnswer: -1, d, -1\/6, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*j**5 - 1\/3*j - j**4 + 2\/3*j**3 + 2*j**2 - 1 = 0. Calculate j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16449609 to the power of 1\/2, to the nearest integer?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 30*z**2 - 17*z - 114. Let b be w(31). Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3515 by 8.\nAnswer: -3515\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*h + 5)*(-2*h - 3 + 0*h + 6*h**2 + 4).\nAnswer: -18*h**3 + 6*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*o, -9*c - 3*o = -4*c - 15. Solve -14*j + 16*j + c = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4628589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.6. Let l = -110780.2 + 110781. Put o, -0.04, l in increasing order.\nAnswer: -0.04, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:51 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -975*i**4*s - 15*i*s - 7039*s wrt i.\nAnswer: -3900*i**3*s - 15*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41575749 to the power of 1\/2, to the nearest integer?\nAnswer: 6448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44730 and 3550.\nAnswer: 223650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 50 = 72. Solve -x = l, 0 = 5*m + 2*l + 3*l + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 10 + 3 + -5 + -28. Let w(k) be the first derivative of k**3\/3 - 5*k**2 - 1. Let m be w(7). Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 3*i = 18, m + 203*i + 15 = 460*i - 253*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13997 - 6623 - 17330 = 759*n for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/((-7290)\/(-6420))*(-9)\/6.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.072 and 1.09558?\nAnswer: 0.07888176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 14*d - 14. Let b be w(-12). Which is bigger: 12 or b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 + 43*d**2 - 42*d - 84. What is h(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 9*f + 4. Let k be t(7). Let y = 46 + k. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -33. Let g = -18696 + 18798. Calculate the remainder when g is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.594 or 3\/32581?\nAnswer: -0.594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1753 = -1362*y - 2*s + 1160 - 1671 + 4208, 15 = 5*y - 5*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (18 - 18 - 18) - -10 - 88?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 149*i**5 - 10*i**3 + 3*i + 21. Let k(a) = -148*a**5 + 12*a**3 - 4*a - 24. Let d(h) = 6*b(h) + 5*k(h). Find the second derivative of d(u) wrt u.\nAnswer: 3080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -57. Suppose -y + f + 44 = 5*k, -90 = -2*y - 4*k. What is the greatest common divisor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 1541*a**3 + 1544*a**3 + 55.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86021674 is divided by 2362?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*n + 4*b + 13, -n - 23 = 4*b. Let j be ((-10)\/(-8))\/(n\/(-12)). Solve -j*c - 3*l = -0*c - 5, -c - l - 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207741 is divided by 184?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 48, 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5 - 330\/72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b5 (base 13) to base 7.\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -2\/3, 3, 1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 2. Suppose -7*g - 1 = -141. Calculate the lowest common multiple of g and u(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -180719180*g - 1185432287?\nAnswer: -180719180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggzv when four letters picked without replacement from {e: 7, z: 2, s: 4, g: 3, v: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 13. Let w = 0.369685 + -17.383985. Let h = w + y. What is h rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-48)\/(-4))\/(-4). Which is bigger: -4\/35 or y?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258960465*k**3 - 212*k - 774665 wrt k?\nAnswer: -1553762790*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30754 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32541 is divided by 3335.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 865, 4, -2 in ascending order.\nAnswer: -2, 4, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27650333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.620349 nanograms in milligrams?\nAnswer: 0.000008620349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7729 and 1475?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:36 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 4518090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eme. What is prob of sequence me?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 4147462985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33711900 rounded to the nearest 100000?\nAnswer: 33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -25*s + 2*h, 3*s + 2*h - 84137 + 84116 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {q: 2, f: 1, b: 1, g: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 49*l**2. Suppose 10 = 22*i - 17*i. Suppose -i*o = -v + 27, 3*v - 15*o = -17*o + 73. Calculate the remainder when r(1) is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 1 - 1 + (3*j - j + 0*j)*(-2*j + 2*j + j))*(-3 + 0 + 4)*(-28 + 18 + 27)*(5*j - 6*j**2 - 5*j)*(-4*j + 3*j - j).\nAnswer: 612*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 7 - 10)*(-4 + 4 + k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30719, -30716, -30713, -30710, -30707, -30704?\n\"Answer: 3*y - 30722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 2*z**2 - 23*z - 6. Let w be m(-4). Let j be (-8)\/(-246)*15\/w. Which is the third biggest value? (a) j (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 9*n**2 - 9*n - 5. Let d be k(10). Let j = -24 + 60. Suppose 0 = -4*g + g + j. Solve -3*h + m - g = 0, 4*h - 3*m + 26 = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39940.25 millilitres in litres?\nAnswer: 39.94025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900592 divided by 344.\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:44 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 2, i: 1}. What is prob of picking 2 g and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2686 and 1088?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llldediil. What is prob of sequence iel?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 + 243. Suppose 7*b - 2*b = 45. Let f = a - b. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) + (-30)\/4. Let w be 4\/b - 8\/(-16). Let v = 0.35 - 0.05. What is the second biggest value in w, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 22*j - 11. Let l be i(-12). Suppose -186 = l*y - 14*y. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from tvtzptvtztt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*v + 250, 3*v - 370 = -t + 3*t. Suppose -10*w + 12*w - 404 = 0. Let q = w - v. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v**3 + 56*v - 12*v + 15*v**3 - 32 + 5*v**4 = 0.\nAnswer: -8\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 30 = w. Let x(a) = a**3 + 8*a**2 + 7*a + 6. Let o be 42\/4*(-4)\/6. What is the remainder when w is divided by x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 4*i**2 + 6535*i - 13068*i + 6533*i as a*i + u*i**2 + b and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cid when three letters picked without replacement from {i: 3, c: 1, d: 1, g: 9}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 67, 77, 103, 151, 227, 337?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 4. Let k(z) = -2*z + 8. Let v(q) = -13*a(q) - 6*k(q). Let i = 8 + -22. Let p be v(i). What is the greatest common factor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001202220101 (base 3) to base 9\nAnswer: 10052811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51903 and 1116243.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -27*z**2 + 3349*z + 38. Let l be p(124). Suppose 238 + 194 = 4*v. What is the greatest common divisor of v and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 7. Let o(q) = q - 6. Let v(r) = -r**3 - 8*r**2 + 24*r + 37. Let c be v(-10). Give c*o(a) - 2*t(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -214 + 105?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 1\/9*p**6 - 4\/3*p**2 - 7\/30*p**5 - 1\/63*p**7 + 0 - p + 8\/9*p**3 - 1\/18*p**4. Let s(g) = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/12*(-44)\/6. Which is the third biggest value? (a) 0 (b) o (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15793 - 35907. What is p rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266190 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*x - 1 = -726*x + 3*a, -5*a + 31 = -3*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 15. Let j be m(13). Let n(c) = -5*c**j - 2*c**2 - 2 + 6*c**2 + 3 + c. Let v(r) = -r**2 + 3*r + 3. Let t = 15 + -16. Give t*v(a) + 3*n(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(2\/21))*y*y\/(y\/y**1)*y*(y**(1\/4)\/y)\/(y\/(y*y**(1\/4)*y*y))*((y\/(y\/(y**(-2)*y)))\/(y**(-4)\/y))**7 assuming y is positive.\nAnswer: y**(1369\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - o**4 + 1 - 81*o + 44*o + 35*o + 0*o**2 to the form r*o**2 + m*o + w*o**3 + b*o**4 + u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 20*g + 67 = i, 20 - 20 = -14*g + 56 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tppqptp. What is prob of picking 1 t and 1 p?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1157.371 + 1159. Let q = 1.45 - g. Round q to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 29*y - 10*y - 13*y - 200 + 56. Give s(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 2. Let n(i) = -i**3 + 3*i**2 + 4*i - 3. Suppose -3*x = -5*x + 8. Let g be n(x). Calculate the remainder when d(g) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 4*g + 1, -5*g - 35 = -3*j. Put 0, 3, -1, g in decreasing order.\nAnswer: 3, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 9*o - 9. Let w be h(8). Let m be 37 + w\/(2\/6). Solve -5*j - m = -9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 18799 = 9*n + 18645, n - 14 = -l for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4608 is divided by 96?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a - 16. Let d be 2\/(-6) + a\/(-3). Solve 13 - d = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -11*w - 23, t - 5*w = -0*w + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z**3 - 42 + 40 + 2*z**4 - 2*z**2 - 11*z**3 in the form b + d*z**3 + u*z + n*z**2 + s*z**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -1)*(-1)\/2. Suppose 0 = 4*s - 20, -2*a - 3*s = -0*s - 147. Suppose 0 = 68*l - a - 138. Solve -r + 6*r - 4*o - 40 = 0, q = l*r - 3*o - 27 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.5 - -21. What is the nearest to -1 in d, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.09, 2.61, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15357*p - 15874*p - 54802 = 0 for p.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from {e: 3, b: 2, y: 6, l: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29862.3*0.1.\nAnswer: 2986.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = y - 12, 3*y + 2*y - 93 = 4*t. Let q = y + 0. Solve 24 = -4*d + 4*s, -q = 5*d - s - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 2 - 3 + 0*g. Let j be a(-3). Let p = j + 6. Solve -5 = -y - p*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.27 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10003 - -10009.979. Let i = b - 7. Let s = i - -0.0101. Round s to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) -1 (c) -0.2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2060213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-9))\/(1\/1*-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + -2 + 13 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -3*sqrt(208))*-1.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8114*m**3 + 61 + 8112*m**3 + 19.\nAnswer: -2*m**3 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 14*s**2 + 3*s + 33. Calculate k(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32963 - -3131486\/95. Which is the closest to 2\/7? (a) y (b) -1\/11 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237308 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 9. Suppose 0 = 3*s + j - 5*j - 53, 0 = 5*s + 3*j - 40. Let r = -16 + s. Let m be k(r). Let c(d) = 3*d + 2. Calculate c(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6150 - 6179.91. Let f = 1.51 + p. Let h = -23 - f. What is h rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o - 5. What is the remainder when k(6) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/2 - -375\/14. Let u = -2720 + 19044\/7. Find o, given that d*o**3 + 2\/7*o**5 + 0*o + 0*o**2 - u*o**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmssffwfsmsstsf. Give prob of picking 2 s and 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4063, 4102, 4141, 4180, 4219?\nAnswer: 4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -4*(-5 + 4). Suppose o - j = -1. Let c = 294 - 1167\/4. Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0 + 0)*(-6 - 4*f + 3*f + 2).\nAnswer: -f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -174 + 234. Suppose 0 = -3*r + m + 170 - 93, r - 44 = v*m. Solve d = -25 + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 - 26*l**2. Let w(o) be the first derivative of 2*o**2 + 1. Give i(w(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-1)\/(1*sqrt(96)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j = -71 + 128 + 79. Solve j*y = 2*v - 6, 288 - 272 = y + 3*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*r + 63 = 0, 2*k + 3*r - 30 = 5*r. Let i(h) = -2*h**2 + 37*h - 11. Let n be i(k). Calculate the highest common factor of n and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*d + 34661 = 95*d + 576*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*((-834)\/(-10) + 0)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + s = 140, 0*d - 2*d - 115 = -5*s. Let b be d - (8 - -4)\/(-3). Put -3, -5, b, 3 in increasing order.\nAnswer: b, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uumy when four letters picked without replacement from {w: 4, u: 2, y: 2, k: 1, m: 6}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - (-6)\/(-3) - 2. Suppose 0*y = -x*y + a + 24, -y + 6 = -5*a. Suppose y = 2*o - 28. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5. Let s(o) = -o + 4. Calculate 4*p(d) + 5*s(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i*i**(5\/2)*i*(i**0)**34)\/((i\/(i**(5\/2)\/i)*i*i)\/(i\/(i\/((i*i**(-5))\/i))))**(-2\/19) assuming i is positive.\nAnswer: i**(629\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**4 + 0*v**4 - 2*v**4)*(-183 - 2181 - 110 - 1261 - 2723).\nAnswer: -19374*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -14 (c) -13 (d) -2\/23 (e) -0.5 (f) -8\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -7. Let t = 35.5 + -197.8. Let l = -162 - t. What is the third smallest value in x, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 3277826305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263.3 + 262.3. What is the third biggest value in 256, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2388*i**2 + 6*i + 6. Let t(r) = 796*r**2 + 2*r + 2. Give 5*c(f) - 14*t(f).\nAnswer: 796*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 78 = -2*c - 71, -c - 2 = 0. Let v = q - -59. What is the highest common factor of v and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/6 + f**3\/6 - f**2 + 9*f. Calculate i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, d: 17}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34513351 - -2?\nAnswer: 34513353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.2 (c) -10 (d) -1\/5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 228 = 402. Calculate the greatest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 137?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 - 75*t**3 - 4*t + 6309 wrt t?\nAnswer: -8*t**3 - 225*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387.8211ug to milligrams.\nAnswer: 0.3878211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 17}. Give prob of picking 2 y and 1 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 32 = 2*j, 6*j - 6 = v + 2*j. Suppose 0 = -v*l + 1192 - 422. Let y = 15 - 4. Calculate the highest common factor of y and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -61 + (6 + 32 + -34 - (-4 + -2)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l - 112. Let k be w(-24). Let j = -36 + k. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 - (884\/(-39))\/34. Does s = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/80 and -29\/1192.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from fikkiooaik.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*m + 2 = -326, -2*g = -5*m - 631. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 593.09 - 614.4. Round m to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (4 - 1)) + 16 + -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 1. Let b be n(3). Suppose 0 = b*l - 3 - 22. Let s be (0 + (-2)\/3)\/(l\/(-30)). Solve -3*k - 6 = s*x, -5*x + 3 = -5*k + 28 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 51*h**3 - 11*h**3 + (-3*h**2 + 4*h**2 + h**2)*(4*h - 2*h - h) + 3*h - 3*h - 2*h**3.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*g**3 - 8*g + 11*g + 3 to the form l*g**2 + j*g + w*g**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, a: 4, w: 3}. What is prob of sequence waw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 140\/5 - (-3 + 4 + 2). Suppose 9*r + b = 1096. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/120 + 3*d**5\/20 + 13*d**4\/24 - d**3\/2 + 15*d**2. What is the remainder when l(-6) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 10*w**2 + 8*w - 3. Let a be t(8). Let j be 14846\/(-3426) - 8\/(-6). Sort 3, a, j in ascending order.\nAnswer: a, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2520 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*j + 134, -5*j + 451 = 5*s - s. Suppose -4*u + 15 + 15 = -2*g, 5*u + 4*g = 31. Calculate the remainder when u is divided by s\/28 - (-1)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 < 864\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 2*k - 6*q + q, -3*k + 93933*q - 93930*q = 78 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7021499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2446890187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*x - 42*x + 100*x to the form g + t*x and give t.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(990\/852))\/1. Are 4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*a - 15887 + 29, 2*u + 4*a = 6338. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -26, -23, -20?\n\"Answer: 3*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 - 1896*r**3 - 22240*r**2 + 426600*r + 4801500 = 0.\nAnswer: -15, -11, 15, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/11 + 5530*s**2\/11 + 33126*s\/11 + 49662\/11 = 0. Calculate s.\nAnswer: -2759, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40556191*s**5 + 3*s**2 + 320023*s + 166?\nAnswer: 811123820*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 8*j - 28. Let m be ((-2)\/(-18)*-2)\/(-2). Let l = 301 - 304. Which is the closest to 0.1? (a) l (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31753 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218\/(-1672)*12 + 30 + (-190)\/(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2364955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8*w - 9*w - 135 = 0, 0 = -5*w. Let o(x) = -x**3 - 2*x**2 - 3*x - 3. Let s be o(-2). Calculate the highest common factor of s and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - o**3 - 3*o**2 + o + 2 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -857, -600, -171, 430, 1203?\nAnswer: 2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -7\/8, -4108, -8\/5?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*p + 163, 4*m + 2*p - 3*p - 144 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, w: 2, y: 2, p: 4, e: 2, b: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 22. Suppose f - 4*h - 188 = 0, -2*h - r - 9 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 1190?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 11*z - 4. Is 28\/61 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 862321731 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(2736) - (-1 + sqrt(2736))) + sqrt(2736))*6)**2.\nAnswer: 4320*sqrt(19) + 99396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123610 or -117224?\nAnswer: -123610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.62 - -9826?\nAnswer: 9829.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 38. Suppose -6*y = 1 + z. Put y, 3, 4 in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7082 - -7177. Sort s, -2, 5 in descending order.\nAnswer: s, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2590 + 2584. Let z(f) be the second derivative of f**2 + 0 + 1\/6*f**3 - 3*f. Give z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -401\/41 or -71\/4?\nAnswer: -401\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Suppose 0*s = -5*s + 3*i + 19, 4*s - 30 = -5*i. Suppose -4*d + 4*m + 12 = 8*m, -l*d - s*m + 7 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 26. Give r(-15).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 359*n + 354*n = -89, 101 = 8*x + 5*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*-659.\nAnswer: -65900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 1. Let c(u) = -5*u - 6. Let t(x) = c(x) + 6*j(x). Let o(v) be the third derivative of 3*v**4\/8 + 11*v**2 + 20. Give t(o(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/161494214 and 39\/253776622.\nAnswer: 1776436354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/163660 and -137\/35070.\nAnswer: 490980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16713 times -91?\nAnswer: -1520883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.44778l in millilitres?\nAnswer: 16447.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**24)\/u**(9\/7))**(-16) assuming u is positive.\nAnswer: u**(2720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-31)\/3)\/(10\/60). Let p = n - -64. Solve 5*c + 25 = 5*f, -2*f - 2*c + p - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2423, -6, 0, -3\/7, 3, 0.3 in descending order.\nAnswer: 2423, 5, 3, 0.3, 0, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3130 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/594 and 89\/8?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148262 divided by -1.\nAnswer: 148262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.90035 rounded to one dp?\nAnswer: 35.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 4*r**3 + 3*r**3 - 4*r**3 + 41.\nAnswer: -5*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*p + 7 - 32, 0 = -r + 5*p + 25. Solve 3*g + 0*g - 15 = r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76122.37 grams in milligrams?\nAnswer: 76122370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 63*o**4\/4 - 14*o**3\/3 - 58. What is the third derivative of t(l) wrt l?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.365568962 less than -167529.2?\nAnswer: -167529.565568962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 - 8*w. Let l(o) be the third derivative of o**5\/30 - o**2 + 354. What is l(f(h))?\nAnswer: 128*h**4 + 256*h**3 + 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a74 (base 13) to base 4.\nAnswer: 123321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51718 take away -0.4?\nAnswer: -51717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**5\/r*r*r*r)\/(r\/(r**(-3\/2)\/r)))\/(r**(-4)\/(r\/r**(-4\/5))))**(-21) assuming r is positive.\nAnswer: r**(-2373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 + 2*y + 5. Is f(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(sqrt(7) + (sqrt(7) - (sqrt(7) - sqrt(14)\/sqrt(2))) + sqrt(7)))\/(sqrt(10)\/(sqrt(5) - -2*sqrt(5))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -27 - (1 + (-2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 210110?\nAnswer: -210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onwwwniwwywogywnn. Give prob of picking 1 o, 2 n, and 1 g.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 1. Let m(n) = 4*n + 2. Let g be m(-2). List the prime factors of b(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71119880 and 2405?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*j - 3 + 25 = 0, 0 = -3*t + j + 94. Suppose t*u = 29*u. Solve u = -3*v - 1 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:04 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - i + 59 + i + 107 to the form g + u*i + z*i**2 and give g.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/((-2)\/9). Let r(l) = 3*l**p + l - l + 7. Let g(f) = f**3 + 2. Let o = 95 + -102. What is o*g(w) + 2*r(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2793640 is divided by 1443?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.18776 seconds in microseconds?\nAnswer: 82187760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 3*t)*(3*t**4 + 2*t**4 - 2*t**4) + (-4 + t + 4)*(3*t**4 + t**4 - 3*t**4) + 3*t**5 - 3*t**5 - 2*t**5.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 142*d**2 + 476*d + 3792. Determine q(-50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(228\/19)*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.414 - 0.204. Let k = r - 3.21. Let y = -15 + 76\/5. What is the second biggest value in 2\/3, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 bigger than 389248097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + (6 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -4. Suppose -c*j = -j - 75. Suppose -j*v + 176 = -21*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46448659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -99, -2 in descending order.\nAnswer: 65, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/(-20)*33\/24*10. Which is the second smallest value? (a) g (b) -6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 + 8*h + 47*h**3 - 8*h.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1515794152 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.3213 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2\/9, 2, -0.1, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16422475*s**5 - 2*s**4 + s**2 + 63809475*s.\nAnswer: -328449500*s**3 - 24*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2217, -2716, -3239, -3798, -4405, -5072?\n\"Answer: -2*w**3 - 485*w - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*v + 580 = -493*v. Calculate the remainder when 180 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -510 or -0.10002?\nAnswer: -0.10002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 24. Let g be f(-12). Suppose 6*a + 61050939 + 26129061 = g. What is a rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339589403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {n: 2, h: 1, b: 2, q: 2, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**2*s**3 - 5*m**2*s - 32*m**2 + 55*s**4 - 4386*s**2 + 168*s + 78 wrt s.\nAnswer: 48*m**2*s + 660*s**2 - 8772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53647+-0.4\nAnswer: 53646.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14723045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -16*l + 14. Let t(v) = -v + 1. Let r(p) = 2*d(p) - 28*t(p). Let z be (-4)\/16 + 3\/12. Let q(c) = c - 3*c + z*c. Give q(r(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 97*u - 1488. Determine x(63).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 - 18*d**2 + 56*d**2 - 19*d**2 - 8*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3))**(-4\/19)\/((u*(u*u*u*u**12*u)\/u)\/u*u**(-9\/2)) assuming u is positive.\nAnswer: u**(-1165\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/6 - 3*f**4\/2 + 7*f**3\/3 + f**2\/3 - 5*f\/2 + 7\/6.\nAnswer: (f - 7)*(f - 1)**3*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13156, 12923, 12690, 12457, 12224, 11991?\nAnswer: 11758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127960957.\nAnswer: 71, 1802267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 = 4*s - 3*g, s - g - 37 - 252 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y - 42. Let a(s) = -5*s - 22. Let z(c) = 7*a(c) - 4*r(c). Let j be z(3). Solve 0 = -3*f + j - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2 - 70*j - 44. Let o be w(-13). Solve o = 2*m + 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124883137 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/18)\/((-935)\/3927).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 71. Calculate y(-26).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32225565 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 9*i + 20. Suppose i*g + 8 - 28 = 0. Solve g*n = 7*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50773 (base 8) to base 15\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 23*h**2 + 12*h**2 - 30*h**2.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -14*p - 5*a - 55, 4*a = p - 11. Solve -p = -5*r + 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0759826231 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.140668 micrometers?\nAnswer: 0.000000003140668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 24*y + 302. Let f(p) = -5*p - 60. Let k(j) = -11*f(j) - 2*w(j). Let i be k(-8). Solve i = 5*n - 3*z - 5, 0*n = -2*n - z - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.5 - 79?\nAnswer: -430.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.735852 rounded to two dps?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 29. Let u(n) = 4*n. Give u(j(o)).\nAnswer: -16*o + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i + 44. Let x = i - 44. Solve x = -7*j + 2*j + 2*u - 14, -5*j = -5*u + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10477, 21127, 31777, 42427, 53077, 63727?\n\"Answer: 10650*v - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 10. Let n be l(-5). Let o(w) = w**2 - 4*w - 7. Let j be o(n). Put j, 1, 0 in increasing order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/(l**(-1\/2)\/l*l))**7)**(-2\/23) assuming l is positive.\nAnswer: l**(-63\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5363*r + 3*b = -5361*r - 19, 0 = -4*r - 4*b + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/2366*-7)\/((-5)\/((-130)\/(-4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 2*s - 5. Let t(j) = j**2 - 20*j - 38. Let d be t(22). Let c be n(d). Let v be (-11)\/(-44) - c\/(-4). Solve a = 2*a + v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9958 times -2391?\nAnswer: -23809578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(180).\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7*p = -20. Suppose p*k - 5*t = 41, 4*t = -k + 28 - 1. Let m = k + 18. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14349*i**5 - 12368*i**2 wrt i.\nAnswer: -860940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -39. Let m = 1.68 + 0.22. Let d = m - 1.5. What is the nearest to u in d, -2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 3146*s - 2*s + 315*s + 27098 - 27099.\nAnswer: 2*s**2 + 3459*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115160*y**5 + 2*y**4 + 46*y**3 - 3514*y**2 - 13310*y.\nAnswer: 6909600*y**2 + 48*y + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9021 = -927*l + 377*l - 2411*l - 5784 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113002, -225927, -338780, -451525, -564126, -676547?\nAnswer: -788752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {u: 5, p: 4, y: 8}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394 and 189.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 2*l**2 + l - 2*l - l**3. Let a be n(-3). Does 3 divide (0 - a\/4)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqiq. What is prob of picking 3 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.4986, 2364, 4?\nAnswer: -2.4986","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 270*k - 22926. Give r(85).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 114 = -2*r, -v = -2*v + r + 29. What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -1 + 5\/(-2))*0. Suppose 2*f + 5*a = -t*f + 43, a = -f + 14. Solve -2*l + 2*c + 1 = -f, c + 20 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:06 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:30 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326211749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50007312.\nAnswer: 2, 3, 61, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 - 5*l**2 + 2*l**2)*(13284*l**2 - 7559*l**2 - 7430*l**2) to a*l**3 + t + b*l**2 + z*l**4 + d*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*w + 30, 2*h - 20 = 3*w + w. Suppose 3*m - 58 = -5*p, 5*m + h*p - 60 = p. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3413276 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -v - 392. Let b be (-18)\/(-8) + -2 + 1554\/v. What is the greatest common factor of 112 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92273789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2660311397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7712 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 278, 130, -146, -592, -1250?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 2*g**3 - 5*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 141336 times 0.072\nAnswer: 10176.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrsrrsppsrisyish. Give prob of picking 1 s, 1 r, and 1 p.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*w + c, 2*c - 3 = -4*w + 11. What is the remainder when ((-12)\/10)\/(w\/(-20)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -2*sqrt(567) + -3)*-4.\nAnswer: -432*sqrt(7) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3 and -62\/417.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from {o: 4, v: 2, l: 1, z: 2, g: 4, i: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmiuumugwmmugru. What is prob of picking 1 m and 1 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*((-175)\/(-49) + -4)\/(2\/4).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249480, 249469, 249458?\nAnswer: 249447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + 41 + -9\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2712 divide 171216696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 4*p + 1. Let o be s(3). Let v = -18 - -15. What is the closest to -11 in o, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 118 - 110 = 0. Suppose 0 = s + 5*d + 12950025, d = h*s + 6*d + 25900025. Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**4 - 3 - 5 + 7 + 0*p**2 + 2*p**4 + 0*p**2 + (p**3 - 3 + 3)*(p + 2*p + 2*p) - 4*p**4 + 2*p**4 + 5*p**4.\nAnswer: 3*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 22 + 518 = 0. Let s be (24 + 1 - -1)\/2. Suppose -m - s = y - 3*y, -4*y + 5*m + 23 = 0. Solve 0 = -5*i + o + t, -4*i + y*i = 5*o + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -10300?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158 and 12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -491*g**5 - 4*g**4 - 9*g**3 - 764*g**2 + 48.\nAnswer: -29460*g**2 - 96*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g - 5. Let y(j) = 15*j**2 + 1. What is the remainder when y(g) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 48*m - 78 = 0. Suppose 4 = -3*v - 2. Sort m, 4, v, 9 in decreasing order.\nAnswer: 9, 4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*2900\nAnswer: -52200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12649 from 0.0521455.\nAnswer: -12648.9478545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 224993.7 rounded to the nearest one thousand?\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 178 = 59*g, -g + 11 = -2*f + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Let f(j) = -27*j + 14. Let r(z) = 28*z - 16. Let t(c) = -6*f(c) - 5*r(c). What is the units digit of t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12325 and 37931420?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/45 - (-18)\/5. Suppose -13 = -x*q + 7. Solve b - 5*b - 5 = -l, -3*l = q*b - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130614 and 5676?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.4 - 64.4. What is the nearest to -2 in -19, -1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20135, 40610, 61085, 81560?\nAnswer: 102035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 3, 0 in ascending order.\nAnswer: -60, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 36 = 2*h, h = -0*h + 3. Let x be ((-728)\/(-10))\/(13*4\/390). Calculate the highest common divisor of x and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:00 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let y = -0.43 + 3.43. What is the smallest value in 0.08, y, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2850 and 1650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -4, 2, 0, -41 in ascending order.\nAnswer: -184, -41, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6131, 12239, 18347, 24455, 30563?\nAnswer: 36671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4\/(-8) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.829764 + -2.835. What is h rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -108 + 39. Let s(f) = 2*f - 27 + 24 - r*f. Let h be s(-3). What is the highest common factor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0089 + 247.9911. Let j = -244 + g. Is 2 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -398\/11. Let l(k) = -k**3 + 6*k**2 + 1. Let x(p) = -5*p + 1. Let h be x(-1). Let t be l(h). Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5 - 24*o**4 + 96*o**3 - 104*o**2 + 36*o = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 9, 2 in ascending order.\nAnswer: -2, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 19*s - 29 = 40*s - 18*s, 8*h - 12*h - 13 = -s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697487 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**34*z\/(z\/(z\/(z\/(z*(z\/(z\/((z*z*z**(-36))\/z))*z)\/z)*z)))*z)\/(z**(-41)*z*z*z**(1\/14)) assuming z is positive.\nAnswer: z**(559\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3859 - 7731 = -7*c. What is the highest common factor of 114 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -325*m - 155. Let a be l(-5). Calculate the highest common factor of a and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(4\/7)*d)*(d*d*d*d**0)\/d)\/(d**(-5)*d**(-3\/11)))**(-1\/5))**6 assuming d is positive.\nAnswer: d**(-3096\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a. Let d(g) = -21*g**2 + 4*g - 2. Let t(p) = -d(p) + 3*m(p). Let b be t(2). Suppose b = 3*l + l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 3. Let d be i(0). Let g = d - 3. Let v be 3*(-1)\/g*10. Solve l + 0*l - v = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 10. Suppose -3*a = -f*k + 136, -5*k + 285 = -a - 29. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 156, 1036, 2638, 4962, 8008?\n\"Answer: 361*k**2 - 203*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -62*j**3 + 5*j**2 - 5*j. Let a(f) = -1425*f**3 + 114*f**2 - 114*f. Determine -5*a(h) + 114*y(h).\nAnswer: 57*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9628 (base 16) to base 14.\nAnswer: 1001a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - 5*c - 4. Give p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1024\/3 + 9376\/3*f**2 + 620\/3*f**4 + 25\/3*f**5 + 5696\/3*f + 4084\/3*f**3 = 0 for f.\nAnswer: -16, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158659.5789 plus -4410?\nAnswer: 154249.5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 105\/13, -4\/5, 17?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3442 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 47*u + 282 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x. Let u(v) = v. Let m(q) = 12*q. Let b(z) = m(z) - 8*u(z). Give b(s(h)).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in 129, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 29 - 38 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 2*d - 12*d. Let w(l) = 50*l + 14*l - 18*l - 16*l. Calculate w(q(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*u**3 + 2*u**2 - 51*u**3 - 6*u**2 - 6*u**4 - 3*u + 7*u**4 + 3 + 3*u**2 to the form r*u**3 + v*u**2 + b*u**4 + n + d*u and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/11 (b) 0.26 (c) -5 (d) -1\/11 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3366, 6264, 9180, 12120, 15090, 18096?\n\"Answer: a**3 + 3*a**2 + 2882*a + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 1)*(0 + 0 + 4*f) - 2*f + f - f + 3 - 2*f - 3 to the form s + q*f and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -130 (b) 0.23 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*((-52)\/(-91))\/(-1).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559*4.\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 + 456*w - 3050. Give q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) -4 (c) 2969.5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 328360*i - 5391014480 = 0. Calculate i.\nAnswer: 32836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3 + 3)*(1 + j - 1)*(-12*j + 11*j + 23*j).\nAnswer: 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 7*j + 3. Let o be f(-7). Solve -m + 0*g = -g + 6, 2*m = -g + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -346a67 - 0?\nAnswer: -346a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/500)\/(6\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 70 = 66. Suppose -4*s + 3*s = 5*g - 46, 4*g + n = 4*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1317 and 103165.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -375*j**3 + 3009*j**2 - 6662*j**2 + 1311*j**2 wrt j?\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 882 and 80948?\nAnswer: 728532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 474 + -450. What is the greatest common factor of 888 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 - 45907*a**3 + 26597725*a**2 - 3828593489*a = 0. What is a?\nAnswer: -46481, 0, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-62922)\/36)\/(1\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*65\/4264)\/((-30)\/24).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/2)\/(3\/2). Let q = -10 - 22. Let v = -18 - q. Solve -4*p = 2*y - 14 + 4, -b*y + v = 5*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 9*g + 10. What is m(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 28 = 20 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*q + 74, 2*v - 41 = 5*q + 26. Let b = 51 - v. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 202183220657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82119098.\nAnswer: 2, 41059549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392956 is divided by 325.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*q**5*z + 30895*q**4*z - 27*q**2 - 6*q*z - 7*q - 117*z wrt q?\nAnswer: -1080*q**2*z + 741480*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.5025 - -0.0925. Let u = 0.59 - s. Let d = u + -5.7. Sort d, -3, 0, -2\/7 in descending order.\nAnswer: d, 0, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -224*r**2. Let l(t) = 2*t. Give l(q(a)).\nAnswer: -448*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11755901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let a(i) = -1427*i**2 - i - 3. Calculate a(o(g)).\nAnswer: -1427*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66\/18 + (-105)\/63. Factor 4\/9*b + 2\/9*b**u + 2\/9.\nAnswer: 2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.5 (b) -54 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 0.21?\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -534\/173 - -1607355\/520903. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:25 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -13. Which is the third biggest value? (a) 5 (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4458*i**5 - 4*i**3 - 10*i - 2952 wrt i?\nAnswer: -89160*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -374988687, -374988689, -374988691, -374988693, -374988695?\n\"Answer: -2*j - 374988685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13257732.08299973 - 13257732. Let i = f - 0.083. Round i to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 81*v**2 + 250*v + 330. Let s(l) = 3*l**3 + 242*l**2 - 748*l - 987. Let y(i) = -17*a(i) - 6*s(i). Factor y(g).\nAnswer: -(g - 4)*(g + 1)*(g + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmk when three letters picked without replacement from gijmkme?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1 + 13 + 8 + 17 + k. Let a be o(-17). What is the highest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 148705 + 9?\nAnswer: 148714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 116. Solve -6*g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1351*g**3 + 295*g**2 - 19 - 583*g**2 + 291*g**2 - 21 wrt g.\nAnswer: 8106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 + p + 2. Let a(b) = 7*b**2 - 1. Let z(u) = -3*a(u) - 2*c(u). Let g be 8\/(-36) - 40\/(-18). Calculate z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -788783 + -3654569. Let g = i + 7743352. Suppose -o - g = -4*o. What is o rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 95, 363, 895, 1781, 3111, 4975, 7463?\nAnswer: 10665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o. Let q be f(-2). Let j(b) = 2*b + 10. Let s be j(q). Let u = -8 + s. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351 + -113?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/53)*g)\/g**(-4))\/(g*g\/(g\/(g**(-5)*g))*g*g**(6\/5)) assuming g is positive.\nAnswer: g**(1527\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -87981957?\nAnswer: -87981957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4039107 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*y**3 + 6*y**3 - y**4 + 0*y**4)*(-3 - 2 + 2) to the form t*y**2 + i*y**4 + l*y + p*y**3 + c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 6. Let x(n) = -n**2 + 5*n + 1. Let z be x(6). Let y be p(z). Solve 2*j = j + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 14028.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130\/2067321 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10, 6*z - 40 = -5*a + 3*z. Let m = a + -2. Suppose 2*j - j - 167 = w, 12 = -m*w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (-150)\/(-5))\/(10\/115 - 470\/644)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -518 * -0.027\nAnswer: 13.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*h - 2*b, 0*b - 5*b = -h + 20. Suppose 0 = 2*d - 5*v + 34 + 28, 0 = -2*d - h*v - 22. Let r = 30 + d. Is 9 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = v + 15. Calculate the common denominator of -37\/42 and (-106)\/(-924) - v\/(-12).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 18. Let c be h(16). Does 15 divide 4*c\/8*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 123, 115, 103, 87, 67, 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 0. Suppose -5*n = h, 2*n = l - 2*n - 6. Solve -10 = -a - 5*f, 0 = 5*a - l*f + f - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-44)\/60 + 5\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -740 and 44315503562.5.\nAnswer: 44315502822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148996*l - 150273*l + 14801 = -92467 for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 6*i + 17)*(-8 - 3 + 7)*(-i + 6*i - 3*i) - 146*i - 2 + 8*i**2 + 70*i + 73*i.\nAnswer: 56*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -2*s - s. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -2. Let f be ((-370)\/(-4))\/(k\/12). Calculate the common denominator of (f\/105)\/(6\/(-9)) and -33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*p = -6*p - 29496, -5*j + 49144 = 3*p. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 2*u**4 + 88 + u - 88 as j + o*u**4 + m*u**2 + v*u + d*u**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let j be o(-5). Suppose 23 = 4*b + j. Find the first derivative of 3*p**4 - 5*p**b - 5 - p**4 + 4 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 - 136*d**2\/3 - 1912*d\/3 - 5600\/3.\nAnswer: -2*(d + 4)*(d + 14)*(d + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 168 = -2*m. Let p = 222 - 169.8. Let w = p + -52. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 5*q + 35 = -11*v, -25 = -5*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 530.9 + 1214.6. Round y to the nearest 10.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/3 - 450*c**3 - 6836*c**2 + 45062*c\/3 - 7735 = 0. What is c?\nAnswer: -17, 1, 1365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*o - 238. Let l be 1\/2 + o\/2. Suppose 2*g + 2*g = l. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3 + 3 - 1 + 5*h. Let r(d) = -11*d + 3. Let x be (6\/2 + 315\/(-30))*462\/693. Calculate x*c(l) - 2*r(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13233 is divided by 13166?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 9*n**2 - 5*n - 4. Let w(k) = -k**3 - 10*k**2 - 6*k - 4. Let p(d) = -6*h(d) + 5*w(d). List the prime factors of p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842202 is divided by 372?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 4\/20)*6)\/(192\/128)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 7 - (0 + 0)) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l + l + 6*l - 2*l - 2*l + (-3 + 5 - 4)*(l - 2*l - l) - 4*l + 2*l + 0*l)*(28 - 6 + 3).\nAnswer: 200*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 513\/7 - 73. Let t be ((-2)\/2)\/(0 + 2). Is t at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54316 is divided by 7758?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 799*q*v - 4*q + 16987*v wrt q.\nAnswer: 799*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58923600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k)\/(k*((k*k**6)\/k)\/k*k*k*k)*(k**(-1)*k)**(18\/5)*(k\/(k\/k**(-6))*(k**(-3)\/k*k)\/k)**(-3\/19) assuming k is positive.\nAnswer: k**(-328\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 27. Let z = 15 + -11. Let x = -619 + 621. Solve -x*t - 4*j + g = -t, -1 = -t + z*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2776 + 2779.947. Let w = j + 0.053. Let f = -36 - -30. What is the third smallest value in -0.5, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - l - 2*l - l. Let x(t) = 6*t**2. Let m(z) = -z**2. Let v(k) = -4*m(k) - x(k). Determine c(v(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - t + 2*t)*(5 - 4 - 2) + (1 + 1 + 1)*(-12*t + 12*t - 7*t) as s*t + p and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 216300 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8424? (a) 0.5 (b) 9 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u + 6. Suppose 5*f = -3*x + 63, 0*f = -f + 3. Let p be 52\/x + (-3)\/(-4). Suppose -5*c + 1 = -p*c. Let o(t) = -t + 1. Determine c*y(m) - 6*o(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 168. Suppose 3*g - 3*h = 501, y = g + 4*h - 70. Let w = -51 + g. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77995.64 rounded to the nearest one thousand?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95675758.3 rounded to the nearest 1000000?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 8*r - 8. Let s be l(-6). Let h = 9 - s. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -8 - 10) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.6. Let h = l - -0.39999995. Round h to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 629*d**5\/20 + 7865*d**4\/24 - 2*d**2 - 1921*d. Find the second derivative of s(i) wrt i.\nAnswer: 3774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 10. What is the remainder when 53 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34888\/9 or -0.1?\nAnswer: -34888\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 824*r + 10. Is 49 a factor of a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:42 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 - 9*m**2\/2 + 12*m + 5. Let c be u(-10). Let r = -135 + 139. Solve 2*b + s + c*s = 8, 0 = -2*s + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2921\/33 - 959\/11. Which is the nearest to -24\/7? (a) -5 (b) o (c) -4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 13*x - 36. Suppose 0 = -4*b - y + 7, -4*b + 2*y + x = -2*y. Solve 0*l + 0*l + 6*l**b - 2*l - 6*l**3 + 0*l**3 + 2*l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 0 + 4*(sqrt(720) - (sqrt(720) + 0)))**2*2*-1.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**3 + 5*f**2 + 5*f - 4. Let q(c) = -6*c**3 - 5*c**2 - 4*c + 3. Suppose 5*z + 3*w = 29, -59*z - 4 = -57*z - 4*w. Calculate z*x(l) + 5*q(l).\nAnswer: -2*l**3 - 5*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77667.23g in micrograms?\nAnswer: 77667230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/6 - 2*v**3\/3 + v**2 - 2*v\/3 - 6. Factor c(j).\nAnswer: 2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6385 + 6388. Sort -13, -4, 4, 14, x in decreasing order.\nAnswer: 14, 4, x, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 25. Let v be j*(1 - 2)*(-1 + -1). Suppose 4*b - 332 = -v*o, 581 = 4*o + 2*b - 83. List the prime factors of o.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.115, -0.216, -0.2 in increasing order.\nAnswer: -0.216, -0.2, 0.115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 550197532 - 2129264429093\/3870. Let o = d + 396\/215. Find the common denominator of -61\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8264 by -4.\nAnswer: -2066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2d3 (base 14) to base 16\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 400716161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*i + 10, 3*n - 5*i + 5 - 14 = 0. Let d(m) be the first derivative of m**2\/2 + 3*m + 10. What is the units digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-30)\/(-2))*1. Let f(p) = p + 22. Let k be f(n). Solve 0 = -k*u - 22 + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**2 - 2*v**2 + 4*v**2)*(14 + 2 + 9 + v) to c + h*v**3 + t*v + m*v**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let c = l + 3. Suppose -c - 10 = -r. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -b - 7 - 9, 0 = -2*b - 2*p - 8. Suppose 2*v - 14 - 24 = b. Let r = -17 + v. Let l(t) = 3*t - 1. Calculate l(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 91, 113, 143, 181?\n\"Answer: 4*d**2 + 2*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = a - 17, 7*k + 21 = a + 3*k. Suppose -220 - 187 = -3*h - 2*c, h = -a*c + 114. List the prime factors of h.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34166484 by -6.\nAnswer: 5694414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + (-8 - 2))*-296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*t = 1121, 2*y + t = 200 + 373. Let c = 290 - y. Solve c + 4 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from qlqleljqqqqellqqqn?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 89919658, 179839316, 269758974?\n\"Answer: 89919658*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**3 - 2*n**3 - 4*n**3)*(-3*n + 63*n + 12*n) to x*n**3 + m*n**2 + w*n**4 + q*n + z and give w.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.57684 rounded to zero dps?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -16 - 42*w**3 - 110*w**2 + 32*w**3 + 126*w**2 - 16*w. Let u(l) = -3*l**3 + 5*l**2 - 5*l - 5. Determine -5*o(g) + 16*u(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175800 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 520, 526, 534, 544, 556?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z - 1. Suppose 0 = -4*l - q + 8, -15 + 3 = -3*q. Suppose -l + 2 = j. Let a be o(j). Solve -a*c - 4*p = -4, -3*c + 2*p - 4 = -2*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 81, 112, 143, 174, 205?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51434, -102866, -154298, -205730, -257162, -308594?\n\"Answer: -51432*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 2*k. Suppose -22 = 7*x - 12*x - 4*r, 2*x - 10 = -2*r. What is d(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -2\/15, -2\/7, 0, 1.1, -217\/5?\nAnswer: -217\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 48*f**3 - 2*f**2 + 3*f - 2. Calculate q(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -289*u**5\/60 + 13*u**4\/6 + u**3\/2 + 263*u**2. What is the second derivative of g(j) wrt j?\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3350.248 + 14.548. Round a to the nearest ten.\nAnswer: -3340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-18) + 1 - (-56)\/(-63). Which is the fourth biggest value? (a) w (b) -0.2 (c) -0.4 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q**3\/11 - 4556*q**2\/11 - 46*q = 0.\nAnswer: -253, -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -3*o + 0*o**3 + 6\/5*o**5 - 1 + 0*o**4 + 0*o**2. Differentiate h(c) with respect to c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 6*j**5 - 307719*j**4 - 7234383*j**3 - 16778115*j**2 - 13083987*j - 3232530 = 0.\nAnswer: -21, -1, -1\/2, 51310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 107 = 93. Let j(f) = 5*f**2 - 1. Calculate j(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-2 - 1)\/(-3). Suppose -2 - 6 = -u*d. Suppose 0 = -2*l + d. Solve -2 + l = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 4357.2 (c) 178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/48 and (-11)\/77 - 7\/((-7448)\/(-1290)).\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 + 2*t**4 + 0*t**4 + (-9*t**2 - 8*t**2 + 5*t**2)*(0*t**2 - 2*t**2 + t**2) to the form y*t + b*t**4 + f*t**3 + v + s*t**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*c + 2*a - 1, -2 = 2*c - 4*a. Let n(g) = -g**3 - g**2 + g. What is n(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + q**2 - 1. Let i = -18 + 17. Let v(k) = -2*k**3 + 32*k**2 + 216*k + 436. Let c(w) = i*v(w) - 4*g(w). Suppose c(u) = 0. What is u?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7695 * 0.8\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16*o + 299 + 2*o**2 - 617 + 81*o + 303. Does 10 divide f(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:37 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 51*v**2 - 11*v - 1. Let t = 126 - 120. Is i(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*i - 7*i + 15, 0 = 4*j + 2*i - 18. Suppose -j*l = -4*l - 1. Is l*14*-1 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 4*z - 4*z - 4 - 7. Let n = -2 + -5. List the prime factors of w(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(2)*-5)\/sqrt(2).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 841*y - 845*y - 3*b, 5*y - 4*b - 57 = 0. Solve f - y*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996894289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4\/7*g + 0 + 1\/7*g**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 193423.51 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -465224*o + 465224*o - 594*o**2 to f + m*o + y*o**2 and give y.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221010 (base 4) in base 5?\nAnswer: 41003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 11*b + b**2 + 14*b. Let x be s(-2). Suppose x*g - 3*g + 1923 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0 + 0 + 611*k - 598*k. Let l(s) = 3*s**2. What is o(l(r))?\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 640409428 to the power of 1\/2, to the nearest integer?\nAnswer: 25306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o + 61*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -8b?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(2\/5)\/y))**(-6\/17)*(y\/y**5)\/(y*y*y**(-1\/4)))\/((y**(-1\/2))**(-27)\/(y*y\/y**(-2\/3))**(1\/2)) assuming y is positive.\nAnswer: y**(-18851\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 9 = 0. Let j(d) = -d**3 - 11*d**2 - 12*d - 46. Let p be j(-11). Suppose i*k = k + p. What is the remainder when 84 is divided by k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.9549 - -5.\nAnswer: -103.9549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16*1\/((-1)\/(-2)). Suppose 626*a - 32 = 624*a. What is the greatest common factor of p and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -r + 301. Let l = r + -13. Let t = l - 26. Solve -3 = -t*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -9.21. Let i = -9.142 - -0.142. Let n = d - i. What is the second smallest value in 0.5, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/(-108) + 1\/(-4). Suppose -6 = -3*x, 5*u + 2*x - 7*x - 130 = 0. Let g be (-2)\/(-14) - (-10)\/u. What is the closest to g in h, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 72*z - 95. Let c be f(36). Suppose -243 - 492 = -5*r. Let s = c + r. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 7192458*i**2 + 43154810*i + 35962350 = 0?\nAnswer: -5, -1, 3596235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n + 18. Let a(u) = 7*u + 19. Let x(w) = -5*a(w) + 6*m(w). Let y be x(-13). Factor y*t**2 + 1\/2*t**3 + 0 + 0*t.\nAnswer: t**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0604 - -1442587759.\nAnswer: 1442587759.0604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 >= 699\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60646521 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 9*c - 10. Let f be s(-7). Solve -f = -2*w + 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2495522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 688, 1004, 1320?\nAnswer: 1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10022001?\nAnswer: 10021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.752 + 5.7523408. Round x to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 16. Suppose -5*n + s = -13. Suppose -n*l + 177 = -3*q, 4 = 2*q + 2. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 2*w + 3. Let y be q(1). Suppose -5 = -5*a, -y*z = -0*z - 3*a - 33. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423 - 423 + 246613*s**2.\nAnswer: 246613*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-24)\/18)\/((-1)\/(-3)). Suppose -38 = -5*a + 2*a - 2*t, 49 = 4*a + 3*t. Let w = a - i. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 357, 1219, 2893, 5649, 9757, 15487?\nAnswer: 23109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, z: 5}. Give prob of picking 1 z and 1 o.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622110?\nAnswer: 2, 5, 7, 23173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*n + 9, -3*h - 5*n = -3*n - 5. Suppose 85 = 4*x - 3*i, h*x + 2*i = -3 + 71. List the prime factors of -2*(x\/4)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0213 times -3?\nAnswer: -0.0639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 998311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9))**(-2\/13)*y**(-4\/17)*y**19)**(-2\/65) assuming y is positive.\nAnswer: y**(-8906\/14365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1*o*o*o**(1\/5)\/o)\/(((o*o**8)\/o)\/(o*o\/o**(-6\/11))))**44)**(10\/9) assuming o is positive.\nAnswer: o**(-1432\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:48 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 5 - (1 - -12320)\/(-3). Let k = -2194 + b. What is k rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 + 0.85. Let v = d - 0.2. Let g = -117.9 + 116.9. Which is the third smallest value? (a) v (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438471 and 438471?\nAnswer: 438471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/(-492))\/(((-12)\/576)\/(6\/(-88)))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-1470)\/1440*2\/(-7)*(-288)\/180.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 7 (c) 29\/3020\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:10 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let d(x) = -28*x + 246. Let m(h) = -11*h + 100. Let n(s) = 5*d(s) - 12*m(s). Give -10*c(v) + n(v).\nAnswer: 2*v + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/8*97\/(81480\/(-896)). Suppose -4*b**3 + l*b - 16\/5*b**2 - 8\/5 = 0. What is b?\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10650640 and -127\/12160?\nAnswer: 85205120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80*34\/((-272)\/(-3)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = k + 2*o - 9, 4*k - 3*o - 2 = 0. Suppose -4*n + 2*s - 6 = -6*n, 5*s = -n + 3. Let d(h) = 1. Let m(a) = 2*a + 4. Calculate k*m(b) + n*d(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/9 + 469*x**4\/9 + 775*x**3\/3 + 2315*x**2\/9 - 2326*x\/9 - 928\/3 = 0. What is x?\nAnswer: -464, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 14) to base 11.\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(180) + sqrt(180) + 2 + sqrt(180))**2 + -1 + (sqrt(180) - (6*2*sqrt(180))**2).\nAnswer: -24299 + 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -14 + (-2 - 9) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 135 = 4*r + 254, -y - 35 = -r. Is y less than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6312427, -6312431, -6312445, -6312469?\n\"Answer: -5*i**2 + 11*i - 6312433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -0.24. Let d = 4 + -4. What is the smallest value in d, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23321415 and 5834?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 10. Let b(p) = -7*p - 4. Let f(m) = 8*m + 5. Let j(k) = g*f(k) + 7*b(k). Let u(o) = 2*o - 3. Give -3*j(t) - 2*u(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2 + 2)*(h**2 - h**2 - h**3) + 2*h**4 - 4 + 4 + 0*h + 0*h + 2*h**4 - 2*h**4 - 7*h + 7*h.\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 515128.2l in millilitres?\nAnswer: 515128200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 3*k**3 - 6*k**3 + (-1 + 0 + 0)*(-1 + 4 - 2)*(k**3 + 3*k**3 - 2*k**3).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2979, -5960, -8941, -11922?\n\"Answer: -2981*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-12)\/88) - -1*2. Suppose 4*t + t = 120. Let s = k + t. Solve 0*x - s = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 + -23 - (0 + -5). Put s, 4, -2, 7 in descending order.\nAnswer: 7, 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2. Let k be q(1). Differentiate -f - 2*f + k - 7 wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 - 13 = -5*h. Suppose 2*o + 351 = 5*m, 5*m = 2*m - 4*o + 221. Let w = m - h. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - sqrt(176)*4 - (3*sqrt(704))**2.\nAnswer: -6336 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.45 - 0.05. Let i = g + -0.2. Let q = 0.3 - i. Which is the third smallest value? (a) q (b) -2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/3)\/g)\/g)\/g**(-12)*g**(-5)*((((g\/g**(-1\/14)*g)\/g)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and -562163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o - 30. Suppose 5*j + 2*v - 29 = 0, -2*v + 12 = 3*j + v. Calculate the smallest common multiple of j and (-8)\/(-10)*o\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -47, -64, -99, -158, -247?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22006384834 and -129?\nAnswer: 22006384705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5. Let v(u) = -6. Let m(d) = 5*l(d) - 4*v(d). Let i(h) = -8*h + 14. What is i(o) + 12*m(o)?\nAnswer: -8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 50 - 58. Suppose -y*r + 25 = -7*r, -4*o - 57 = -3*r. Is (5388\/o)\/(2\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 3*u = -1761 + 1662, -2*g + u - 1 = -33 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 7779832.5?\nAnswer: -7779833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 28*o = 823 - 633 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5003 + 23552. List the prime factors of q.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781963.\nAnswer: 29, 43, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5230 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: How many minutes are there between 8:40 AM and 4:17 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.01932, -3\/23 in descending order.\nAnswer: -0.01932, -3\/23, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1336*h + 421039.\nAnswer: 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 + 5*z**4\/2 + 4*z**3 + 2*z**2.\nAnswer: z**2*(z + 1)*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 1190790?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + -101.7. What is the smallest value in c, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27110 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*d - 121*d = 40. Calculate the remainder when 1196 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/7 (c) 1\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 6:42 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.019 - -0.181. Let t be (-11)\/13 - 0 - -1. Which is the biggest value? (a) t (b) 9\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -c + n, 8 = -5*n + n. Let m(v) = 4 - 5 - v**2 - 16*v + c*v. What is m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*f + 361 + 476, 0 = 3*f + 3*p + 837. Let u = f - -436. Suppose -7*h - 10 = -u. What is the greatest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 + -0.613246990903.\nAnswer: -0.843246990903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17905000 rounded to the nearest one hundred thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 5*z + 5. Suppose 2*m + 5*v = -m - 8, 5*m - v - 24 = 0. Let g be o(m). Find the second derivative of 1 - 2*y**5 - g + y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28459302701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 4*z**2 + 2*z - 1. Let c be u(-2). Suppose 0 = -2*b - 2*b + c*y - 6, -5*y + 10 = 0. Solve 5*w + 10 = b, 0 = -k + w - 5*w - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -443 divided by -60.\nAnswer: 443\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1099 - 695. Let t = f - 409. Let j(p) = -6 - 2*p - 2*p**3 + 4*p**2 + 4*p**3 - 5*p - p**3. What is j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(28\/33 - 18\/99). What are the prime factors of 10*(p\/5)\/(30\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/104 and 1\/10328?\nAnswer: 134264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/856 or 1?\nAnswer: 9\/856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 77861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/120 - 19*z**5\/60 - 41*z**4\/24 - 8*z**3\/3 - 2*z**2 - 67*z - 3. What is t(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:09 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.9795 + 0.0205. Which is the nearest to 0? (a) -0.5 (b) -5 (c) x (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20477 = -4*i - 221. Suppose 0 = -39*o + 15*o + i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3212680 is divided by 1070837?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(9\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + 2*z + 2*z)*(4 + 0 - 5) - 63*z - 61*z + 90*z to the form a*z + i and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 47, 67, 83, 95?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.56? (a) 0 (b) -2\/5 (c) 2\/369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8214939, 8214964, 8215003, 8215062, 8215147?\nAnswer: 8215264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*k - 4*f - 196, 3922*k - 56 = 3924*k + 4*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881320 is divided by 3070?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, v: 1, u: 1, b: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let r(y) = 2*y**2 - 514*y. Determine r(h(w)).\nAnswer: 2*w**2 + 514*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10 - 5*z - 3*z + 3 - z**2. Let f be q(-6). Solve f*n - 2 = -o + 7, -5*o + 3 = 4*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6996 and -8\/477.\nAnswer: 20988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/15)\/(4\/156) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 3*p**3 - 8*p**3 + 5*p**2 - 5*p**3 - 1 + p + 22*p**3 to the form n*p + d*p**2 + h + w*p**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 9*y**3 + 111*y**2 + 99*y - 216.\nAnswer: -3*(y - 8)*(y - 1)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -0.883507 in increasing order.\nAnswer: -0.883507, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -43582*r - 1117. Is p(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*u**4 - 135*u**3 + 600*u**2 + 5*u - 270 = 0 for u.\nAnswer: -2, -27\/40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 10. Let c be (-1)\/j*(-9 + 5). Suppose -c*l + 0*l + 84 = 0. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.275, 3\/5, -0.666.\nAnswer: -0.666, -0.275, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 7*o**2 + 6*o + 1. Let u be k(6). Let h = -247 - -252. Suppose 818 = h*c + u. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**3 - 145*i**2 + 139*i + 1838. Give a(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*v - 63 - 269 = 244. Sort -5, 36, v, -6 in descending order.\nAnswer: 36, v, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let w = -1 - v. Let x = 372\/5 + -74. Which is the closest to x? (a) w (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:09 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let j(g) be the first derivative of -60*g**3 - 411. Calculate b(j(o)).\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -60. Find the first derivative of v + 12*p**3 + 8*p - 30*p**3 - 8*p wrt p.\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8104 - -324153\/40. Which is the third biggest value? (a) -1\/5 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 48 = 4*y. What is the closest to -1 in y, -0.2, -63?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**17\/(((j\/(j*j**(2\/3)*j))\/j)\/j)**(-7\/6) assuming j is positive.\nAnswer: j**(229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -2\/3, -4, 1\/2, 190\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)*f*f*f\/(f*f\/((f*(f**(-4\/11)*f)\/f)\/f))*f)\/(f*f**(-13)*f*f**(1\/4)*f))**(10\/7) assuming f is positive.\nAnswer: f**(965\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 35*y**2 + 12*y - 116. What is the tens digit of c(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1855, -1609, -935, 383, 2561, 5815?\nAnswer: 10361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 3*u - 6*u. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031699 (base 10) to base 11\nAnswer: 645149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 414 - 223. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-109 - (15 - 122))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n + 8. Let j be (9\/6)\/(3\/8). Suppose -3 = -c + j*b, -5*c + n*b - 5*b + 38 = 0. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-50))\/((-68)\/(-170))*62\/(-3)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2391754, -2391895, -2392036?\nAnswer: -2392177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-330)\/(-231) + (-40)\/28. Suppose 5*h = 2*h. Suppose n - 4 = -h*f + 2*f, -2*f - 5*n - 28 = t. Put 1, f, -1, 2 in descending order.\nAnswer: 2, 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, -25 in increasing order.\nAnswer: -25, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 9*i**2 + 86*i + 174. Determine n(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 274?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58896 (base 10) in base 2?\nAnswer: 1110011000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 - 5*u**3\/3 - 9*u**2\/2 - 4*u + 1. Calculate a(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 - a**5\/15 + a**3\/3 - 10*a**2. Let k be q(4). Sort k, -16, 5 in decreasing order.\nAnswer: 5, k, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/6))\/x**(-3\/4))\/(x\/((x\/(x**(1\/11)\/x))\/x*x)*x\/((x*x**(-1))\/x*x)))**43 assuming x is positive.\nAnswer: x**(10363\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*r + 472 = 0, -n + 5*r - 158 = 72. Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/9)*o*o**(-10)*o*o*(o**(2\/19)\/o)\/o*o**(-1\/6))**(-16) assuming o is positive.\nAnswer: o**(23576\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 45\/1 + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.083997 and 0.06.\nAnswer: 0.00503982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155276*c*j**3 + 2*c*j**2 + c + 763*j**3 + 1842 with respect to c.\nAnswer: 155276*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let f be (-15)\/(-20) - ((-36)\/16 - -3). Suppose -462 = -u*m - f*m. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 10*o + 11. Let s be r(9). Suppose -6*y + 8 = -2*y. Let l(q) = 2 - 4*q**2 - 4*q**y - s*q**3 + 5*q**2. Give l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 40079, -1 in increasing order.\nAnswer: -1, 1, 3, 40079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61.58652 months?\nAnswer: 0.00513221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131235 or 129923?\nAnswer: 131235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0512 + 262709788.\nAnswer: 262709787.9488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -z - 0. Calculate the remainder when z is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011100110000010100001 (base 2) in base 14?\nAnswer: -24d3757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**4 - 2*h**3 + h. Let u(w) = 11*w**5 + 5*w**4 + 10*w**3 + 2*w**2 - 3. Let p(c) = 5*q(c) + u(c). Find the second derivative of p(b) wrt b.\nAnswer: 220*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -457653 + -103?\nAnswer: -457756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1520 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1874 - 1876. What is the nearest to 0 in 3, h, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.829808 nanometers to kilometers.\nAnswer: 0.000000000005829808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 78*j + 386. Let a be h(-5). Which is bigger: a or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a factor of 655751543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-32)*2*(-4 + 0). Suppose -b + 2*b = -3*j + 20, 0 = b + y*j - 12. What is the third derivative of 2*c + b*c**3 - 18*c**2 - 3*c + c wrt c?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1890*21 + (-2 - (-12)\/5).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puwpp. Give prob of sequence pw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 11152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 2*j + 25 - 5. Let g be p(-13). Which is smaller: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 - 9)) + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12794 - -28156. List the prime factors of g.\nAnswer: 2, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 10. Let t be w(-9). Let l = 2 + t. Sort -4, 4, l in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 8*g + 2. Let o(q) = -q**2 - 3*q + 3. Let l be o(-5). Let a be r(l). Calculate the highest common factor of a and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/6 + 5*a**5\/4 - 5*a**4\/2 - 15*a + 2. Factor t(z).\nAnswer: -5*z**2*(z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57 (b) 2 (c) 0.612 (d) -3 (e) -11\/2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}