diff --git "a/data/dm_maths/full_data/1673_11255.jsonl" "b/data/dm_maths/full_data/1673_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1673_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -2*f**2\/23 - 2748*f\/23 - 943938\/23.\nAnswer: -2*(f + 687)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2052 = -5*x, -9*i + 18688 = -x - 0*x. What is the highest common divisor of i and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 2. Let z be (9 + -11)\/((-1)\/2). Let w be b(z). Find the common denominator of 54\/10 + w\/(-15) and 91\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**4\/2 + 4*r**3 + r**2\/2 + 13*r + 7964. Calculate h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801149023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 2*v**2 + 4*v + 5. Let l be x(-2). Find the third derivative of -6*j**2 - l*j + 21*j**4 + 13*j - 12*j**2 wrt j.\nAnswer: 504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -507 + 55.4047896\nAnswer: -451.5952104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(14)\/sqrt(7)) + sqrt(7)*1 + 3.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f + 10. Let k(l) = 22*l + 1. Let w(q) = -4*k(q) + 4*x(q). Let z(a) = a - 1. Determine -2*w(s) - 72*z(s).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/4 + 91*q**2\/4 + 103*q\/4 + 17\/4.\nAnswer: (q + 1)*(q + 17)*(5*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-8)*(-1)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/207 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*177.2154.\nAnswer: 443.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*k**4 - 534*k**3\/5 - 24*k**2\/5.\nAnswer: 3*k**2*(k - 4)*(45*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(20)*2)\/((-2*sqrt(36))\/sqrt(9)) + (-4*-2*sqrt(30))\/sqrt(6)*-2).\nAnswer: 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**7*w*w*w)\/w**2)**35*(w\/(w\/((w\/(w**(1\/4)*w))\/w))*w**(-5)\/w)\/((w**(-6)*w*w)\/(w**(6\/7)\/w*w)) assuming w is positive.\nAnswer: w**(8753\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)*(0 + 1). Suppose 1 = 3*c - 11. Suppose -c*q - d = -18, -2*d - 2 = -i*q + 2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-120))\/((-2)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/3 - 130312*h**3\/3 + 521320*h**2 - 4692032*h\/3 + 4170752\/3 = 0. Calculate h.\nAnswer: -65168, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2623.3 + 2257. What is c rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7791829169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/19 - 3008*b**2\/19 + 1142944*b\/19 - 8952064\/19.\nAnswer: 2*(b - 748)**2*(b - 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029706132 to five dps.\nAnswer: 0.02971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/13 - 227\/260. Let k(o) be the second derivative of 0 + 2\/45*o**6 + j*o**5 + 1\/6*o**2 - 1\/6*o**3 - 4*o - 5\/36*o**4. Factor k(h).\nAnswer: (h - 1)*(h + 1)**2*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/487959 and 13\/311?\nAnswer: 487959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1513301004 (base 6) to base 3.\nAnswer: -1022121012022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1254 + 1253. What is the nearest to -1 in -2\/13, n, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Let l be ((-4)\/(-12))\/(w\/66). Let p = -4 + l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11478*t - 920 = -11501*t. Let a(r) = r**2 - 7*r - 7. What is the remainder when t is divided by a(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r - 17. Suppose -m - 191 = -5*g - 4*m, 3*g - 123 = m. Suppose 0 = -4*l + g + 8. Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17210 rounded to the nearest 100?\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8639*a + 6176*a + 6205*a to x + d*a and give d.\nAnswer: 3742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450490*g = 45*i + 450493*g + 2595, 4*i + 3*g = -217 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2 + sqrt(700) - sqrt(700)) + sqrt(700))*3)**2 + 5.\nAnswer: 2160*sqrt(7) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 125. Let q = 25 - j. Factor q*c**2 + 0 + 0*c + 2\/9*c**4 + 2\/9*c**3.\nAnswer: 2*c**3*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(5\/3)\/q)*q**(-3\/4)\/q*(q*q*q**(1\/8)*q)**(-27) assuming q is positive.\nAnswer: q**(-2059\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -60. Let p be (-2)\/y - (55\/(-22) - -3). Which is the closest to 4? (a) 0.5 (b) p (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 0.3. Let f be (38\/(-8))\/(2\/56). Let t = f + 663\/5. Which is the nearest to v? (a) t (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/(3\/(-27)) - 1. Suppose -w*y + 20 = -0*y, -c - y + 44 = 0. Which is smaller: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -797*n**3 + 5*n**2 + 146*n + 530. What is the units digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421150?\nAnswer: 2, 5, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -300. Solve 0 = 226*v - g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l + 62. Let o = l + -11. Solve 4*y = -3*x + o + 4, -10 = -2*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = 5*x - 23. Suppose -95 = -4*k + 221. Does x = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2660\/75)\/7 + -4 - 5 and 103\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -887742 + -2?\nAnswer: -887744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + 0.1. Let m = 281\/28 - 117\/28. Let p = 143\/28 - m. What is the closest to p in 4, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0.123.\nAnswer: -4, 0.123, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-1))\/((-3)\/2) + 5. Suppose 580 = 5*y - s, -s - 232 = -2*y + f*s. Let q = -66 + y. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/(x\/x**(-3))*((x\/x**(-5\/2))\/x*x)\/x**(-1\/2) assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -1631.07.\nAnswer: -1627.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 136*z - 241 = 335 - 67, -36 = 4*u - 2*z for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/51 + 157\/204. Factor 3*j**2 + 15\/4*j + a*j**3 + 3\/2.\nAnswer: 3*(j + 1)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 0*h**2 + 7 - 4. Let c be 4 + (-52)\/4 + 3. Let f(z) = 5. Let w(j) = -6. Let i(o) = c*w(o) - 7*f(o). What is -2*i(a) + r(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7911 divided by -31\nAnswer: -7911\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 929237.\nAnswer: 75268197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 4*i - 2*i)*(-2 + 0 - 3) + i - 6*i + 22*i as f + v*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*v + 100, 4*f - 138 + 76 - 26 = 4*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 = 10*w + 63*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - -5) + 350 + -395\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/((-26)\/(-39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**2 - 5*g + 8. Let x(z) = -8*z**2 + 4*z - 7. Suppose t + 35 = 6*t. Determine t*x(n) + 6*m(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/3, 26187559.\nAnswer: 2\/13, 2\/3, 26187559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37440 divided by 192.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 26 + 10. Let l be z\/(-36) + (0 - 2\/(-6)). Suppose 0*a + 2*n = -4*a + 712, l = -3*a + 5*n + 521. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -3, -68\/7, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*43 - (-1 - -3). Suppose -f = -2*s + 5*x, -2*s + 15 = -2*x - 17. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 2433702*b + 4867408 = 0?\nAnswer: -2433704, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1031 = 1123. Suppose 0*q = -2*q - 8. Let i(g) = g**2 - 3*g - 5. Let x be i(q). What is the greatest common divisor of h and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152779183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6362240 - 6362266.20673. Let x = -17198 + 17171.8. Let h = x - y. What is h rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 6, 0 in ascending order.\nAnswer: -13, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 11*r + 42. Let y be a(14). Find s, given that 105*s**3 - s + y*s**2 - 10*s**4 + s + 5*s - 60 + 84*s**2 + 96*s**2 = 0.\nAnswer: -1, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-4))\/2*2\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021528119 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1680 divided by 3.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17220586*h**4 - 56073605*h**2 wrt h?\nAnswer: 413294064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 4*h - 2. Suppose -3*y = 2*y - 10. Let d(o) = -o**2 + o - 1. Determine y*d(i) - j(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 533.7236ml?\nAnswer: 0.5337236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4820.89 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 27*w - 9145. Let z = w - -2849. List the prime factors of z.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*i + 37 = -277*i - 5*n, 0 = 3*i + 4*n + 512 - 467 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*g + 155, 30 = -2*g + 3*r + 87. Calculate the lowest common multiple of 414 and g.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2087*x - 136768 = -596*x - 1591*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -3*(-5)\/(-5). Let h be 88\/66*(x + 3). Solve 0 = -4*r + 5*b - 37, h*r = 3*r - 5*b + 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 0.8.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 320. Give s(-22).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277985821?\nAnswer: 2473, 1729877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*f + 304 - 304)*(198*f - 7 + 0 - 204*f).\nAnswer: 156*f**2 + 182*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9825 - 9755. Solve 2*q + 4*c = 10, u*q + 3*c = 71*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16891 at most as big as 16891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**6\/3 + 242*m**5\/5 + 2943*m**2 + 3785. What is the second derivative of d(w) wrt w?\nAnswer: -40*w**3 + 2904*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7*d - 32 = 10*d, -d = 3*w - 136. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1822*w - 7. Let s be u(-14). Let j = s + 274499. Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(208) + sqrt(13) + (sqrt(13) - (sqrt(13) - 2*sqrt(325))) + (4*(sqrt(1053) - -5*sqrt(1053)) - sqrt(1053))))**2.\nAnswer: 23064912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 69 - 45. Sort d, -5, 2.\nAnswer: -5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 81159.\nAnswer: 243477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/4 - t**3\/2 - t**2 - 7*t. Let o(y) = y**3 + 16*y**2 - 16*y - 11. Calculate 11*f(w) - 2*o(w).\nAnswer: -2*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 245 = -3*d, 132 = 3*i + 4*d - 33. Calculate the greatest common divisor of 59 and i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (161\/21)\/((-2)\/(-402)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, v: 8, i: 3}. Give prob of picking 3 v.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, w: 9, t: 1, o: 4, n: 4}. What is prob of sequence ntnw?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445973 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 10:41 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9542493 years in millennia?\nAnswer: 0.0009542493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 + -3 - 1) + -4. Let r be (2 - d\/(-6))*(-20)\/6. What is the third derivative of -22*n**5 + 20*n**r - 23*n**2 + n**2 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651 divided by -3?\nAnswer: -2217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**4\/4 - 5*q**3\/2 - 9*q**2 + q + 5. Find y such that l(y) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**3 + 501*a**3 - 733*a**3.\nAnswer: -258*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 7) in base 2?\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 199.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 20*a**3 - 15*a**2 - 50*a + 40.\nAnswer: 5*(a - 1)**2*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043286903 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 9:50 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245531.252264791176 + 0.487796208824. Let k = y + -245553.74. Let o = -22 - k. What is o rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*u + 7101 - 7130. Which is smaller: u or 3953?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 671 + -671. Suppose -14*w - 2*w - 128 = b. Let v(q) = -q**3 - 9*q**2 - 10*q - 18. What is v(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926943, -1852763, -2778583, -3704403, -4630223?\nAnswer: -5556043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 3*a**2 - a. Let p be 5\/(-15) + 14\/6. Let f be h(p). Factor 4*i + 4*i**2 - 15*i**f - 2*i + 9*i**3.\nAnswer: i*(i - 1)*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -9 + 8 + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgw when three letters picked without replacement from {g: 6, w: 1, r: 2, c: 6, h: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose -r*u = 2*w - 4*w - 79, 0 = -3*u + 5*w + 94. What is the remainder when 7 + (-1 - -38) + (-17)\/(136\/16) is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 19)*1\/6*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1946053 * -2\nAnswer: 3892106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 66. Let w be x(-11). Is 53\/(-1)*(w + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 344759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -64124441 and 0.\nAnswer: -64124441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - 3) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7430605223.\nAnswer: 7430605223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 1, p: 2, k: 1, b: 3}. What is prob of sequence kpbb?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**5 - 39124320*n**4 + 2*n**2 - 6307*n + 4334?\nAnswer: -120*n**2 - 938983680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821700 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 116, 177, 238, 299?\n\"Answer: 61*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41070 and 130539626?\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)\/(2\/146). Suppose 3*n + 5*c - 141 = 0, -3*n - 2*c = 2*n - 254. Let s = i - n. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 + 11*u - 10. What is the remainder when q(-6) is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.622927g?\nAnswer: 9622927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27653 by -449.\nAnswer: 27653\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 3:36 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 - 1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 380, -3\/5.\nAnswer: -3\/5, 1.3, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 423100305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + 2*((-2*sqrt(252)*4 + sqrt(252))**2 + 3*(1 + sqrt(252)))*6).\nAnswer: -592840 - 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - 0 - 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 152*r + 3466. What are the prime factors of h(23)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1753175?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 2*i + 3. Calculate y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1287\/26)\/((-3)\/(-11)))\/(6\/(-4)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 34251655?\nAnswer: -34251654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 460.\nAnswer: 5060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (0 - 2\/12). Let d = 0.03 + 1.97. Let o = 1 - d. Which is the closest to -1? (a) -4 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from dotssqsoiqotdsit?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 2, w: 8}. Give prob of picking 1 k and 2 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*h**2 + 9 - h**2 + (3 - 3 - 4*h)*(-3*h + 3*h - 2*h) + 2*h**2 + 7*h + 14 + 2 - 12 to the form i*h + y + w*h**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 3*h**2 + h + (-3*h + 4*h + h)*(h - 3*h + 6*h) - 56*h**2 + 50*h**2 - 12*h + 25*h.\nAnswer: -h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.96. Let m = 0.910063 + f. Round m to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 - 250 - (72 - -2) - -7.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/4*2*1\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 3*c**2 + c - 1. Let x = 5 + 9. Let o = 11 - x. What are the prime factors of k(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102315, 102330, 102345, 102360?\nAnswer: 102375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 15*q + 3 - 6*q + 13*q to the form p + l*q and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-30))\/((-55)\/(-759)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110011011000 (base 2) to base 4.\nAnswer: -21303120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -q - 17, -4*q + k - 6*k = 34. Let t = -9 - q. Solve y + t*y = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 - 510*q + 5832 = 0. What is q?\nAnswer: 12, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95.3 + 95. Let x = 58 - 639\/11. What is the biggest value in -0.2, -3, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) -0.058 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466 + 536. What is the highest common factor of s and 735?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 6. Let s(z) = -z**2 + 2*z + 12. Let d be s(6). Let f = i - d. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -148.3. Which is the third biggest value? (a) x (b) -5\/2 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 441*a**2 - 5*a - 10. Let h be g(-2). Suppose -12*z + 3432 = -h. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r - 2*d - 30, 0 = 4*r + d - 15. Suppose r*m + 0*m - 15 = 0. Solve 0 = -m*u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (5 - (-3 - -15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 21310000?\nAnswer: -21303323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8048*f - 35*f**3 - 8048*f.\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833540, -1667089, -2500646, -3334211, -4167784, -5001365?\nAnswer: -5834954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -673 - -795. What is the remainder when 137 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654718.424 rounded to the nearest 100?\nAnswer: 654700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112.5 + -161. Let y = v + 38. Round y to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21 and -2.2?\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18717728 and 2236?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/6 - 3*w**3 + 16*w**2 - 80*w\/3.\nAnswer: w*(w - 10)*(w - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 - 934. Let d(l) = 61*l. Calculate d(b(t)).\nAnswer: 61*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*j - 29*j - 42. What is the remainder when 105 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/292928262 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571456174 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r. Suppose -10 + 2 = -4*h. Let d(t) = -h*t - t + t. What is d(z(i))?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07768 - -0.059214. 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: Calculate 262112 divided by -16.\nAnswer: -16382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 477 - 254208?\nAnswer: -253621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11713 divided by -901?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/30 + 13*t**4\/24 - t**3 - 37*t**2 - 2. Let w be o(6). Solve 9 = -3*c - 2*u, -2*c - 6 = -w*c - 4*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 58*v**3 - 23*v + 169. Does 88 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-42) + 6 + 2044\/49. Calculate the greatest common divisor of 768 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/31 - 13\/186. Let n = -27 + 42. Suppose 30 = 5*h - n*h. Sort j, h, 0.3.\nAnswer: h, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 35 = 2*o. Find the first derivative of -4 + 4 - 6 + o*q**2 wrt q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vguiigbd. Give prob of sequence ug.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 31. Let i be (8\/(-42))\/((-2)\/(-6)). Sort i, g, 0.5.\nAnswer: g, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 2, i: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -6. Let w(p) = p**3 + 4*p**2 - 3. Let c be w(q). Let i be (-6)\/(-9) - c\/12. Solve -6 = -i*u - 2*o, 5*o + 0*o - 8 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 111 = -106. Let b(g) = -o*g + 22*g + 16*g. Let j(u) be the first derivative of 3*u**2\/2 - 1. Determine j(b(v)).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2255111 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175597 divided by -175597.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 5*q + 2. Let s be (-6)\/(-60)*36 - 6\/10. Let y(n) = 12 - 2*n**3 - 6*n**s - n + 9*n**3 - 8*n**2. Let j be y(8). Calculate a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 26406?\nAnswer: 26406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5705540 or -5705538?\nAnswer: -5705540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 - (2 - (-1149)\/15). Let i = d + 113. Suppose -3*h + 5*h - i = 0. Solve -x + g - 6*g = -h, -x = 2*g - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (-17 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = -4*t, t = 3*t - i. Suppose -2*o = 3*a - 0*a + t, -2*o - 10 = -a. What is the least common multiple of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -0.5 (c) -5\/69 (d) -0.3 (e) 0.3 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 617*a**3*k**2*q + 9105*a**3*q - a**2*k**2*q + 3*a*k**2 - 2*k**2*q + 833006*k*q wrt a.\nAnswer: 3702*k**2*q + 54630*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 328 + 328.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r**2 - 4*r - 11. Determine h(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 = -3*v + 9, -3*i - 12 = 4*v. Let j be i - 1 - 0\/(-7). Let u be -90*(3 + 10\/j). Round u to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 45. Let h = 32 + d. Let m = 3 + h. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 123 = 3*n - w, -213 = -5*n - 3*w. Suppose n = 9*i - 126. Solve -4*b = 5*k - b - i, -4*k + 12 = 4*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6603380 and 2800.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*c = 354, -m + 174 = 4*c - 8*c. Let z(x) = x**3 + 7*x**2 + 4*x - 9. Let g be z(-6). Suppose m = -d + g*d. What are the prime factors of d?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m - 4. Suppose -3*r = -7*r + 4. Let j = r - m. Solve j = l - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-7 + -9 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j + 2. Determine s(-7).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18215\/2 + 9105. Which is the nearest to 1\/4? (a) -0.3 (b) 0 (c) o (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*3 - (-2 + sqrt(300) + sqrt(300)))*-2 + -4)**2.\nAnswer: -64*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6697.\nAnswer: 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -899, -1, -2140, -8 in decreasing order.\nAnswer: 0, -1, -8, -899, -2140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4 - 26 + 5 = 5*a, -9*a - 111 - 62 = -11*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 149175, 298349, 447523, 596697?\n\"Answer: 149174*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 890 and 7260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19953 and 13302.\nAnswer: 39906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14 + 5*j + 4 + 12. What is the units digit of t(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 70 - 65*(-3 - -2)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80.7 + -81. Let f = 8.5 - 8. What is the biggest value in j, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3\/4, 32038?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732642607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/26535 greater than -25.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/150*(-89 - 76)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-22))\/(((-120)\/(-12))\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.2 + 16.2. Let c = 18 + -18.3. What is the biggest value in 3, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148443678 is divided by 560?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -84194097 <= -84194099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*o**3 + 9170*o**2 - 2*o**4 - 9171*o**2 + 46*o**3 in the form a*o**3 + h*o**2 + d*o**4 + s*o + p and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:22 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55868*w**3*x**3 + 2*w*x + 3*w - 5*x**3 + 4 wrt w?\nAnswer: -335208*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f + 0*f + 3*f + 10*f. Suppose 0 = -2*s + 4*t + 6 - 18, 17 = -2*s + 5*t. Suppose 5*o + 1 = i + 3, s*o + 5 = 3*i. Give u(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**5 + 2*n**4 + 6*n**3 + 2*n**2 - n. Let h(u) = -3*u**5 - 2*u**4 - 7*u**3 - 4*u**2. Let i(l) = 3*h(l) + 4*z(l). Factor i(m).\nAnswer: -m*(m - 2)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {h: 1, b: 1, e: 1, f: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/3 (b) 3\/555643 (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 11}. What is prob of picking 1 x and 2 y?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3765296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s - 18. Let z(y) = 2*y**2 - 2*y + 37. Suppose g - t = 4*g + 8, t = 1. Let f(d) = g*z(d) - 7*a(d). List the prime factors of f(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.34 + -0.66. Let f = o - -33.5. Which is the second smallest value? (a) -7 (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1016 - -1031)\/(5\/6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpfgpggppgp. What is prob of picking 3 p and 1 g?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.090241655 and 162995.\nAnswer: 162994.909758345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 5*x - 4*x**2 + x**3 - 4 - 5 + 6. What is the units digit of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j**3 + 7*j**3 + 16*j**3. What is the units digit of y(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njsnjnnnjnjnnjsn. Give prob of sequence snj.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*n - 1240, -15*n = -z - 12*n + 620. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 926 + -923. Suppose -3*b - v*l = -0*b, 4*l = 0. Let x(h) = -2*h + 14. What is x(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 + 15*m - 8. Let i(v) = -12*v**2 + 14*v - 5. What is 2*a(l) - 3*i(l)?\nAnswer: 14*l**2 - 12*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 37*w**2 + 2*w - 7. Let h(x) = 59*x - 139*x - 2*x**2 + 65*x + 10. Let d be h(-8). Is q(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:49 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 7*w**2 + 8*w + 4. What is q(-7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2 (b) 5\/18 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q**7*q)\/q)\/q)*q**(2\/15))\/(q**(-3\/7)\/(q*q*q*q*q*q\/(q\/q**(-1\/3)))) assuming q is positive.\nAnswer: q**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4677, 5241, 6785, 9801, 14781, 22217?\nAnswer: 32601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302*f**2*k**4 + 2*f**2*k**2 - 601*f**2 + 2*f*k wrt k?\nAnswer: 3624*f**2*k**2 + 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 385*z - 29. Let s(u) = -7*u**2 + 1925*u - 150. Determine 31*h(x) - 6*s(x).\nAnswer: 11*x**2 + 385*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1299.00000523 + -1299. What is d rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-11)\/((-44)\/10)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070*a**3 - 2*a - 1937*a**3 + 5148*a**3.\nAnswer: 1141*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2 + 2)*(3 - 1 - 3) + 0*s**2 - 3*s**2 + 0*s**2 - 1 - s**2 + 1 + 21*s**2 - 473 + 473.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 21 = 5*k - 40*m, 5*k - 16 = -m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - v + 231, -4*g - v = 3*v + 292. Let x = g + 88. Is 14 a factor of (-1686)\/(-24) - (1 - 9\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432 - 409. Calculate the highest common factor of 115 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 3. Does 2 divide (-10)\/(0\/1 + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -2*g. Let w(z) = 5*z**2 + 1 + 2*z**g + 1 - 4*z**2. What is the units digit of w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 + -3.37. Let v = p - -0.9. What is the third biggest value in -5, 5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 38*i**2 - 141*i - 2920. What is t(-40)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -485*d**3 + 6*d**2 - 293*d. Let p(a) = -2*a**3 - 2*a**2. Let j(c) = 3*p(c) + v(c). Find the second derivative of j(k) wrt k.\nAnswer: -2946*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 2*o + o + o.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724834 is divided by 6145?\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 57 = o. What is the first derivative of 18 - o - 3*j**4 + 8 wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((110\/10)\/(30\/(-6)))\/((12\/15)\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 11*b - 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 - -122 - (38 + 40).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.2. Let y = t - -0.1. Let h = 1876\/51 - 110\/3. Which is the nearest to y? (a) 1 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 12) in base 11?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 14*o**2 - 27*o + 36. Let b be z(12). Let q(k) be the third derivative of 0*k**3 + 0*k + b - 1\/24*k**4 - k**2. Let p(v) = v. What is p(q(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143341 (base 6) to base 7.\nAnswer: 55030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -72*n - 8*n + 91*n. Let p(v) be the first derivative of -2*v**3\/3 - 1. Give b(p(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61585 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 445583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4827 = -3*v, -22*v + 19*v = 5*t - 4831. List the prime factors of v.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3855*x - 24 = -3852*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 - z**5 + 2*z**5 + (27*z**3 + 10*z**3 + 8*z**3)*(-2*z**2 + 2*z**2 + z**2) - 3*z**4 + 3*z**4 + 2*z**5.\nAnswer: 48*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-25)*96\/(-128))\/(1\/(-15))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - ((-3)\/(-2))\/(-1) - (-5093361)\/26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27852 + -27198. What is the greatest common factor of 33027 and b?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1630647872 by 2152.\nAnswer: -757736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16043 - 134621?\nAnswer: -153664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*p = -272 - 1288, 4*h - p = 2095. Calculate the remainder when h is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 12 = 2*l, 5 = 5*n + 3*l - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -65845*b**3 - 8*b**2 - b + 5. List the prime factors of x(-1).\nAnswer: 65843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(65\/91)*(-20)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*a + 170*a - 44*a - 92. Let r be 6\/(-9) + 68\/66. What is the closest to 0 in r, a, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 167, 293, 427, 563?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/((-350)\/(-28)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2379123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.56 * -2\nAnswer: 7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3 - 2*l**3 - 2*l - 4*l - 6*l**2 + l**3. Suppose 0*o - 2*o = 8. Determine u(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(90\/(-5582)) - 5\/45 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**3 - 14*j**2 + 14*j**2 + 33*j - 118*j + 32*j + 50*j.\nAnswer: 13*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + (-638)\/952. Let a = 2375 + -40363\/17. Let m = a + q. Is 3\/4 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 - 486 = -9*o. Let q = o + 1193. List the prime factors of q.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.34 - -0.34. Let r = -12 - b. Let j = -0.5 - -3.5. Sort r, 5, j.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.505*0.2\nAnswer: 1.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 16)*(0 + j**4 + 0) + (0*j**2 + 5*j**3 + 0*j**2)*(3*j + 4*j + j).\nAnswer: 60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139086 divided by 6?\nAnswer: 23181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2.55, 0, 2\/409?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + t - 3. Let u be v(0). Let j(a) = a**3 + 2*a**2 - 5*a - 2. Give j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02633108126 rounded to 4 dps?\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0 + 2\/3*b**3 + 2*b + 0*b**2. Let v(p) = 3*p**2. Give n(v(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28705*f*n**3 - f*n + n - 2000 wrt n?\nAnswer: -172230*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4665 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001101 rounded to six dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 5 - 10)*(7 - 7 - 2*a)*(4 - 4 - 2)*(3 + 37 + 14) to j + m*a and give m.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.079 - 0.221. Let c = 1 - 0.6. Let f = -2.8 + 2.6. What is the closest to c in z, f, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8384.734kg to milligrams.\nAnswer: 8384734000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**2 + s. Let k be u(-1). Let p(t) be the third derivative of t**5\/60 - 5*t**4\/24 - 2*t**3 - 35*t**2 - 3*t. What is the units digit of p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 4, 3*v - 94 = -5*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.24 (b) 0.5 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - y + 43 = -2*k, -5*y - 45 = 3*k. Let p be (-152)\/k*5*1. Suppose -q - q = -p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*l = 336*l - 5193 - 73 - 1403 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39359365 to the nearest integer?\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 5:27 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/45 and 166\/(-60) + 1\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**3 + 5*f. Let q(o) = 7*o**3 + 5*o. Let a(x) = -6*c(x) + 7*q(x). Find the second derivative of a(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025537258 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -401, -806, -1221, -1652, -2105, -2586, -3101, -3656?\n\"Answer: -i**3 + i**2 - 401*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*f - 29 = 0, -228*p + 231*p - 5*f = 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7192871013 to three decimal places.\nAnswer: -0.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1000011110101001001?\nAnswer: 1000011110101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1510*o + 355. Let r be l(7). Calculate the highest common divisor of r and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -2135, -4110, -6875, -10430, -14775, -19910?\nAnswer: -25835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Let t(i) = -188634*i - 1. Determine t(l(h)).\nAnswer: 377268*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*4\/(-6). Let n be -3*(20\/12)\/z. Suppose 0*p - 4*p - 5*h + 489 = 0, -323 = -3*p + n*h. Calculate the greatest common divisor of 29 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**2 + 7*v - 3. Let o be r(0). Let y be 2\/1*(-2)\/4. Sort y, 3, o, 4 in increasing order.\nAnswer: o, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974 - 4110 = -7*a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 10*r**2 - 3*r + 10. Let l be b(-10). Let o = -35 + l. Let m(f) = -f**3 + 7*f**2 - 5*f + 6. Is m(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 4. Let m be (0 + -2)*3\/(-2). Let h be r(m). Let d = -6 - h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, s: 1, o: 2, q: 2, c: 2, i: 1}. Give prob of sequence cois.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21285.\nAnswer: 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 3953.021?\nAnswer: -3946.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 4. Let m(l) = 5*l**2 + 6*l + 1. Let h be m(-3). Let j be 2*h\/8 + -3. Solve n + g = j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83145423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1531742 and -65.2?\nAnswer: 1531676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i + 9. Let l = -378 - -385. Let y be (3 + -7)*l\/4. Determine f(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 33 + 5 = 0. Suppose j = -3 + x. Let r = -2 + j. What is the least common multiple of r and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 2, w: 1, l: 2}. Give prob of picking 1 j and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2193 + -1562. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -317.2 - 30.8. Let m = 634 + j. Let n = m - 316.8. Round n to zero decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 53 - z**2 + 28 + 18 - 191 + 44 - 15*z. Give q(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6768 = -19395*v + 19160*v - 47 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = -2*b - 1, -2*l + 2*b - 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 8*h = -3*h - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(175)*-3 + (sqrt(175) - (0 + sqrt(175)))**2 + 5 - (5*(sqrt(175) + 1) + -3).\nAnswer: 3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5896633 to the power of 1\/2, to the nearest integer?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.33 + -5.33. Let x = 1.4 + 0.6. Let w = k + x. Which is the smallest value? (a) w (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/2 + 216340*p + 4680299560.\nAnswer: 5*(p + 43268)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 84*h - 267*h - 36.\nAnswer: -183*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*j - j = -5, -4*q - j - 21 = 0. Let h be 0\/((6 - 3) + q). Let f = -1 + 4. Solve h = f*u + 16 - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1462988 - -0.3\nAnswer: 0.4462988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1\/1)*-4. Suppose -c = -a + h*a - 3, 5*c - 4*a = -4. Suppose -17 = -3*u - 2*b, 4*b + c = 3*u - 11. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -91, -155, -245, -361?\n\"Answer: -13*l**2 + l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.866 + 0.134. Let c = 33 - g. Put -26, c, -0.5, -2 in increasing order.\nAnswer: -26, c, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + r = -39, r = 5*w - 3*r + 75. Let v = 15 + w. Calculate the smallest common multiple of 7 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*((-495)\/80)\/(84\/112)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70.648 + -70.6479937086. Round o to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -197 - -200. Let w(g) be the third derivative of g**4 + 0*g + 1\/60*g**6 + 0 - 1\/5*g**5 - 8\/3*g**x + g**2. Let w(b) = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 8. Let d be s(7). Let b be ((-9)\/2 + 2)\/(2\/(-4)). Suppose 0*x - x = -b. Put -4, x, d in descending order.\nAnswer: x, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 4764*n**2\/7 - 437436*n\/7 + 2795904\/7.\nAnswer: (n - 4854)*(n - 6)*(n + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 2 + -2 + -2. Let d = 7 + t. Suppose 2*w - 92 = -d*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 13*n**2 - n + 5. Let v be l(-13). Let t be (-3)\/2 - 1611\/v. Let p = -35 - t. Is p a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 50, -0.5, 2.59?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110000011111110100000101 + -101?\nAnswer: 111001110000011111110100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 17550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43209\/1474 - 325\/11. What is the common denominator of -87\/10 and d?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210234 (base 8) to base 2\nAnswer: -10001000010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -560.42755?\nAnswer: -548.42755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*q - 20, -4*g + 0*g - 3*q + 89 = 0. Let y = g - 18. Let b be (12\/(-9))\/((-4)\/15). Solve -y*l - 10 + b = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2455\/25 + (-2)\/10. Let h = -54 + i. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*r + 3381 = 0, 5*u + 2*r - 1064 = -9531. Let x = u + 3236. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y = 3. Let p be 2 + y - (-2)\/1. Suppose z - p = -1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4374 divided by -3\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = 19. What is the third derivative of 5*z**4 - w + 5*z**2 + 12 wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 - 15*y**3 + 204 - 210 + 11*y**2 as m + r*y + g*y**3 + a*y**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = 2. Which is the nearest to x? (a) 3 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(63) + -1 + 3)**2 + (-2*sqrt(315))\/(sqrt(5) + 6*sqrt(80) + sqrt(5)).\nAnswer: 309*sqrt(7)\/13 + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130.57 - -130.5. Which is the nearest to -1\/3? (a) -5 (b) -4\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36873\/(-34)*(2\/(-6) - -1). Let x = -715 - c. Let t(a) = a**3 - 9*a**2 + 7*a + 16. What is t(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, s: 2, w: 5}. Give prob of picking 2 w and 2 x.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -18*n - 178. Let b = 5 - 93. Is b less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/3 + p**3\/3 + p**2 + 3*p. Let m = -1683 - -1686. Let u(t) = -5*t**2 - 2*t - 2. Give m*u(c) + 4*s(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 225982913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, -5*o + 0*p = p - 75. Calculate the remainder when 72 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 2:14 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2) - 2*sqrt(2)) + -3 - (1 + sqrt(6050))**2)*4.\nAnswer: -24236 - 444*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 + 10. Which is the closest to -0.1? (a) 2 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*c**5 + 209*c**4 - 235*c**4 - 52*c**5 + 2*c**5 + 3 - 3 + (0 + c**5 + 0)*(-4 + 1 + 4) + 2*c + 2*c**5 - 2*c + 2*c**5 - 2 + 2 - c**5 + 3*c**4 - 3*c**4.\nAnswer: 9*c**5 - 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (1\/((-5)\/(-6)))\/((-2)\/(-50)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 15*a**2 - 36*a. Suppose -c - 28 = 3*h + 16, h = 3*c + 2. Let t be k(h). Calculate the greatest common factor of t and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/5 + 26*i\/5 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = a - 3*v, -4*a - 12 = -147*v + 152*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 80500.1 to the nearest one hundred.\nAnswer: 80500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (-55)\/(-40) - 12866\/(-24528) and -61\/9?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 11:40 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**6\/10 + 9*g**5\/20 + 3*g**4\/4 - 7*g**3\/2 - 9*g**2 + 46*g. Let m(h) = 0. What is h?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 31*s + 7. Calculate h(3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 10116 = 14*h. What is the tens digit of (-1)\/4 - h\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -73\/6. Let j(d) = d - 1. Let f be j(1). What is the closest to f in -0.2, 2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 195827020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/2 + 96464*m + 4652651648 = 0.\nAnswer: -96464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-35))\/(9\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7895 in 0.049, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51870.75 milliseconds in minutes?\nAnswer: 0.8645125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (8 - (9 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -817931.\nAnswer: -817931.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 286*z + 1942. What is n(-88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 8. Let k be i(2). Suppose -o - 5*w = -w + 16, k*o - 21 = w. Solve -2*r + 5 = -r - 3*j, -5*j = o*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/4 - 4*z**3 + 6*z**2 - 8*z + 3. Let b be p(11). Sort b, -5, -2 in increasing order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7955\/3 + -39781\/15. Let m = 2 - 2.3. Which is the closest to f? (a) 1 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 5, f: 1, v: 3, c: 6}. Give prob of sequence vv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (-44955)\/(-18) + -1. Let g = 5398 - o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*t + 2 = 3*o, o + 19 = 4*t. Let p be ((6\/4)\/(8\/(-16)))\/o. Let k = 9 + p. What is the greatest common factor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1449685?\nAnswer: 2899370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*90\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(3)*-2 + (sqrt(3) - (1 + 1 + sqrt(3))).\nAnswer: -12*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 8. Let u be p(-8). Suppose -2*m - 3*n + 458 = u, -3*m + 896 = m + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3864*n - 77317. What is m(-20)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gil when three letters picked without replacement from {g: 9, v: 1, l: 1, i: 2, y: 3, e: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 6*x - 24. Let c(h) be the third derivative of -21111*h**4\/2 + 4*h**3\/3 - 7*h**2. Let a be c(x). What is a rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*z = -4*z - 458, -z + 1374 = -3*i. Let j = i - -1038. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3028 less than -3028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.893 less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487469340.\nAnswer: 2, 3, 5, 131, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129284 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, r: 3, m: 3, a: 2, l: 6}. What is prob of sequence ra?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -961.54? (a) -0.038 (b) -5 (c) -3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apptapnpnpananant. Give prob of picking 1 t, 2 p, and 1 n.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104699.\nAnswer: 7, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 108552.781 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = -0*m, 9 = 4*n + 3*m. Suppose u - n*u = -4. Suppose 0 = -5*f + 5, g + u*f = -0*g + 8. Calculate the highest common divisor of 9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*l - 18 = 141*l. List the prime factors of (l\/(-9))\/(6\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 10*d + 20. Is c(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3774 in 3, 5, 3\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-21*j + 16*j - 32*j)*(6 + 0 - 15) + 3*j - j - 3*j)*(3*j + 0*j - 4*j - j + 0 + 0 + (-2 + 2 + 2*j)*(0 - 4 + 2))*(3 + 0 - 2).\nAnswer: -1992*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 659*b - 68*b + 152*b.\nAnswer: -b**3 + 743*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 994833 - 70833. Suppose -4*w + w = x. What is w rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 + 0.8. Let o = -16 - -10. Let h be (-70)\/40 + o\/(-4). What is the closest to h in -4, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -21*l - 27. Determine y(4).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - 0.12. Let u = -4.93 - x. Put u, 1\/4, -0.2 in descending order.\nAnswer: 1\/4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 90030*c\/11 - 5394600\/11.\nAnswer: -2*(c - 44955)*(c - 60)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 1704*l**2 - 184836*l - 712336.\nAnswer: -4*(l + 4)*(l + 211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1396 * -0.219.\nAnswer: 305.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73125335.\nAnswer: 5, 14625067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/2)*j)*j*j**7)\/(j**(-4)*j*j**0) assuming j is positive.\nAnswer: j**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - -2)\/(-3 - 246\/(-84)). Let k be (3\/(-2))\/((-7)\/(g\/(-15))). Suppose 2733 = 5*z - k*z - 3*w, -4*z + 2*w = -3636. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjgjgfjggec. What is prob of sequence cjfe?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40680, -43950, -47220, -50490, -53760?\nAnswer: -57030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 714160470*s**3 + 183119770*s wrt s?\nAnswer: 4284962820*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2\/3 + 140486920*i\/3 - 986828734554320\/3 = 0.\nAnswer: 14048692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 176 - 8*j + 88 - 4*j.\nAnswer: -12*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*g - 7 + 18 = 0, 0 = -k - 3*g - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 2, 1, 1000, 9, -11 in increasing order.\nAnswer: -11, 1, 2, 9, 100, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 - p + 6. Let j be l(5). Let z = j + -152. Let k(f) = -f**2 + 4*f + 16. What is the remainder when z is divided by k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + 88\/24. Suppose -z*d = -615 - 229. Suppose -2*n + 102 + 4 = 0. Calculate the remainder when d is divided by n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/((((-4214)\/(-129))\/98)\/((-1)\/3)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3202*b*d**3 + 5*b*d**2 + 2*b + 16*d**3 + 4392 wrt b.\nAnswer: -3202*d**3 + 5*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 285256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-5)\/(-80))\/(4\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 238, 830, 1822, 3220, 5030, 7258?\n\"Answer: r**3 + 194*r**2 + 3*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (16 + -42) - -7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 176 = -4*p, 5*p = 6*p + 2*h - 49. Suppose 3*r - 61 = -0*r + 5*s, -5*s - 7 = -r. Let q = p - r. What is the highest common divisor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 171eb - -457?\nAnswer: 17653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4780358 to the nearest integer?\nAnswer: 2186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 161002 - 8\/(-20)*-5. Round x to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:29 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42075 and 2735997.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-645*p + 626*p - 2 + 5 + p**2)*(0 + 5 + 2) as y*p + j + w*p**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 - 1901 = 83*p + 729 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - -6.06. Which is the nearest to -1? (a) h (b) 0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*b + 2*r + 5, 2*b + 5*r = 26. Let x = 0.5 + 0.5. Let t = x + 0. Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 5. Let b be y(6). Let q = -1 - b. Solve 4*n + 32 - 12 = q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4073 is divided by 812?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2. Let a(z) = 2*z**2 - 12*z + 8. Let x be a(5). Let i be 2\/2 + (-5 - 1). Let r(q) = q + 5. What is i*l(g) + x*r(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 42*u**2 - 99*u - 366 = 0.\nAnswer: -2, 61\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2982 - 2982 - 113*d)*(58*d - 12*d - 2 + 7*d).\nAnswer: -5989*d**2 + 226*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2251732 = -4*l, 27*n - 28*n + 562903 = 4*l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -100*u**3 + 201*u**2 - 11*u. Let k(p) = 49*p**3 - 100*p**2 + 6*p. Let a(r) = 11*k(r) + 6*s(r). What is the third derivative of a(n) wrt n?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6*a = 48, -64*a + 32 = 3*q - 68*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -3. Let r be 48\/15 + 5\/(-25). Solve -r*v + 2*v = u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:32 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19366784 is divided by 169.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f**4 + 50*f**2 + 20*f. Let d(q) = 2*q**4 + 7*q**2 + 3*q. Let l(k) = -20*d(k) + 3*z(k). Find the third derivative of l(h) wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-40))\/(1*4\/(-32))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1)*2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 89*j - 3660. What is v(41)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 702867179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61211 - -2414?\nAnswer: 63625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/s)**(-4\/41)\/(s**(-2\/5))**(-24\/11) assuming s is positive.\nAnswer: s**(-1858\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*(0 + 1 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3562 + -3514. What is the greatest common divisor of 570 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713785651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 - 12*h - 79. Let w(y) = -y**2 + 2*y + 1. Determine -n(c) - 5*w(c).\nAnswer: -c**2 + 2*c + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkwq when four letters picked without replacement from kwmkcdmwkqcw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*465\/93*(-3)\/240*-4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806 divided by -301?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let v be c(5). Let u = v + -1. Suppose -u = 3*j - 5*m, -4*m = 3*j - 6*j. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61632 and 156088176.\nAnswer: 1873058112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88761 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 = -42*i + 341 - 349 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/3 + 182*q**3\/3 - 2393*q**2 + 6638*q\/3 + 14000\/3 = 0 for q.\nAnswer: -1, 2, 56, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btnd when four letters picked without replacement from nntdbqnndubb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i - 40. Calculate the smallest common multiple of (-2)\/(-4*(-2)\/i) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 27. Let t(w) = -4*w - 6. Let m be t(-2). Suppose -g + m*x + 2 = -215, 4*x = g - 227. Calculate the greatest common divisor of g and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 45 = -5*b - z, 4*b - 3*z = 5. Let g(i) = i**3 - 6*i**2 + 6*i - 2. Determine g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 10:24 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1555599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*p**2 + 383*p**2 + 564*p**2 - 1471*p**2.\nAnswer: 68*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5, c + 10 = -l - 4. What are the prime factors of (-281)\/l + (-12)\/54?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.42612 tonnes in nanograms?\nAnswer: 99426120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10615 = 9*g - 10705 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 930 + -10. What is the greatest common divisor of w and 4968?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76754, -153550, -230348, -307148?\n\"Answer: -c**2 - 76793*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1472112 by -368028.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 66.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154742 and 202112?\nAnswer: 9903488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042893 rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 774*u + 74. Suppose 301*c + 80 = 309*c. Is a(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1827249 rounded to four decimal places?\nAnswer: -0.1827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -43. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 184927?\nAnswer: -18492c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4, -4 = m - 3*u + 1. Suppose 0 = m*r + 25 - 137. Find the second derivative of 0*y**2 - r*y + 8*y**2 + 5*y**2 - 5*y**2 wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*l + 133. Let a be (4 + 0)*(15\/12 - -4). Suppose p - 2*p + a = 0. What is the highest common factor of p and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 10325869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = 4*w - 41, 3*i - 20 = -4*w. Is i <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 91704?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510158 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuu when three letters picked without replacement from rrlnlulrmmmmlrmnlnu?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 + 2. Calculate j(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*b - 15, 2*q - 19 = -b - 4*b. Suppose -9*m + q*m + 63 = 0. Suppose -h + 15600 = m*h. Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-26\/7)*n*n**26 assuming n is positive.\nAnswer: n**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -33, -67, -139, -261, -445?\n\"Answer: -2*k**3 - k**2 + 9*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3080 and 1848?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*n + 44 = 0, 4*i - 2*n = 6*i - 34. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + g - 2. Let z(o) = 4*o**2 - 3*o - 53. Determine -3*c(s) - z(s).\nAnswer: -s**2 + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:43 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 1 + 1062*m.\nAnswer: 1062*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 282*i**2 + 10080*i + 9800.\nAnswer: 2*(i + 1)*(i + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 21. Let m be 9*(8\/6 - 1). Suppose -n + r*b + 7 = m*b, -3*b - 38 = -4*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*w + 70, -3*w - 3 - 4 = -4*k. Let t = w - -11. Find the second derivative of 8*o - o + 2*o**t - 5*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 8. Let j be s(-3). Suppose -v + 79 = -g, 0 = -j*v - 5*g + 148 + 197. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00117133 to six dps.\nAnswer: -0.001171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*n + 236*n + 285*n - 1046778 = 0. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, f: 4, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(10\/(-11 + 6)) - -18. Let q(o) = -o**2 + 12*o - 7. Let b be q(11). What is the third biggest value in b, 3\/7, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2335)\/(-18680)*16\/(-54).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 11 = x. Let f be (-2 + 8\/5)*5. Let k be (24\/(-14))\/(f\/14). What is the highest common factor of x and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2273 - 4562 = 71*a - 1011 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54182 + 105857. Is ((t\/9)\/5 - -4)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*2)\/((-10)\/25). Calculate the common denominator of (2 - 154\/16) + 0 and ((-2)\/j)\/(48\/(-110)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 280728092 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 191082154 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7965, -15727, -23205, -30405, -37333, -43995?\n\"Answer: -z**3 + 148*z**2 - 8199*z + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21 + 11 = -3*t, 4*v + 22 = -3*t. Let a(f) = 7*f + 63. What is a(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 22422*k - 90310. What is x(4)?\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76413996.\nAnswer: 2, 3, 41, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/18 - (-20)\/(-90). Let z be 3 + 1 + (-5 - y). Suppose z*f + 3*v = 30, 2*f - 4*v + 7 = f. Calculate the remainder when 26 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 61 = -2*k, -37545*c - 231 = -37534*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391469252192 - 391469278288.8431347. Let c = q - -26132.8431. Let d = 36 - c. What is d rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 4600?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.8 - 1.2. Which is the second smallest value? (a) -3 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13709 + 34524. Suppose 7*h = m + 35136. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4*u + 139*u**3 + 148*u**3 - 317*u**3 + 4*u.\nAnswer: -30*u**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 6*s**2 - 11*s + 6.\nAnswer: -(s - 3)*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 + 10*o**2 - 2*o + 5. Let a(c) = -5*c**3 + 21*c**2 - 4*c + 10. Let r(q) = -3*a(q) + 5*w(q). What is the second derivative of r(d) wrt d?\nAnswer: 30*d - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose -1 + q = t. Sort -1, 5, t in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992287050 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3680 is divided by 1185.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 22 = -3*b, -70 = 2*b - 30 - 52 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v**2 + 62*v**2 - 129*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77918 + -77920. Let w = 0.1 - 4.1. Which is the second biggest value? (a) -6 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50141000 and 6267625.\nAnswer: 50141000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let p(m) = -6*m**2 - 2*m + 8*m - 4 + m**3 + 7*m**s + 3. Let q(d) = 17*d**3 - 13*d**2 + 13*d - 2. What is 13*p(t) - 6*q(t)?\nAnswer: 2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41920704 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 2*q**4 - 2*q**3 - 2*q)*(0 - q + 0 + 2*q + 2*q - 6*q + 4*q + 0*q - 2*q + (-q - 4*q + 4*q)*(2 + 4 - 5)).\nAnswer: 4*q**5 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 5*q. Let t(m) = -m**2 - 4*m**2 + 4*m + 3*m**2 + 0*m. Let k(g) = -4*n(g) + 5*t(g). Let r(y) = -5*y**2. What is k(r(j))?\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7 or 264?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51328 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*l - 208*l + 7 = -o + 209*l, 3*o = -5*l - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*m + 5725 = 5*q, 2*q - 2260 = -4*m. Is 6\/((-24)\/(-4)) + q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 51*l - 4. Let k(f) = -25*f + 3. Let s(c) = 7*k(c) + 4*o(c). Suppose -2*z - z = -30. Is s(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let p be (-16)\/6*9\/(-6). Suppose p*m + 4*m = -8. Let f(i) = 4*i - 5. What is m*f(g) + 2*y(g)?\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/25 - 1\/50. What is the common denominator of i and (2 - (-30)\/(-16))\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 - 915*h**2 - 33730*h + 488400 = 0.\nAnswer: -120, -74, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:50 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 84272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266 divided by -422.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2531 - 2346*s - 2338*s + 4682*s)*(-2*s**2 + 0*s**2 + s**2) as o*s**2 + z*s**3 + x + d*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**6*r**(-2\/23)*(r*r**4)\/((r**(1\/9)\/r)\/r))\/((r**(-8)*r)\/(r**7\/r))**26 assuming r is positive.\nAnswer: r**(72823\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96759119 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42431, 42363, 42279, 42179, 42063?\n\"Answer: -8*m**2 - 44*m + 42483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.023 + -3.423. Let p = o - -14.4. Which is the fourth biggest value? (a) -1 (b) p (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13691878, -13691900, -13691922?\nAnswer: -13691944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 + 36*u**2 - 9*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*(16\/6 - 5). Which is bigger: -19 or z?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47313810539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13540 - 1094 - 11970 = -2217*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3937 + 25743 = 16*u. Calculate the common denominator of 103\/84 + 1\/4 and u\/450 - 39\/(-65).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*o = 107*o - 216. Let a be ((-50)\/15)\/((-2)\/(-6)). Calculate the remainder when 3\/6*0 - a is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from ocqmokl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10258732 is divided by 3181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13122368 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Let c be 4 + a + (3 - 5). Find d, given that 4*d**2 + 3*d**c - 3*d**2 - 2*d**2 - 2*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 7. Let w = -7 - c. Let f = w - -1. What is the closest to 0 in -1\/3, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + b**3 + b**3 - 6*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (2*sqrt(75) + 0 + sqrt(75)*-1 + -4 + 0)*4)*-5)**2 + 0.\nAnswer: -21000*sqrt(3) + 41025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*i*j**2 - 2*i*j + 306273*j**2 + 90789097*j wrt j.\nAnswer: 128*i + 612546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*l - 19*l + 30*l + 4*l)*(6*l**2 + 5*l**2 - 2*l**2).\nAnswer: 432*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 160 = 5*c, -c - r + 43 = 2*r. Let w = c + -24. Solve -2*o + 10 = -w*h, 3*h - 4*o + 8 = -2*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19377, -38769, -58175, -77595, -97029, -116477?\n\"Answer: -7*j**2 - 19371*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10300342 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - -2d0?\nAnswer: 2f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/119497 - -33332\/48396285. Is p greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/535226, -0.2, -0.3 in decreasing order.\nAnswer: -9\/535226, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-8) + 13\/(-52)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 7) to base 6.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and -137\/15587652.\nAnswer: 15587652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/5)*g*g**(-32)*g)**(8\/7) assuming g is positive.\nAnswer: g**(-1264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*o - 1941 = -447 + 612 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(18\/11)\/k**(-2) assuming k is positive.\nAnswer: k**(40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -460 + 537. Let f be 1507\/b - 4 - (-3)\/7. Which is greater: 15 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42+-47\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03625 from -9.46443.\nAnswer: -9.50068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -71. Suppose 6*h + s*h = -315. Let l be -5 - 445\/h - 4\/(-14). Solve -b + 5*b = l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30453, -60897, -91293, -121635, -151917?\nAnswer: -182133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2893119 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51.465 and -86.\nAnswer: 4425.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 7 - (-58 + (-1 - (-13 - -26))) - 0?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*q + 36 = 0, 3*y - 3*q = 6*y - 30. Suppose y*r = 4*r + 4. Solve -p = 4*x, p = r*x + x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4419, 4417, 4415, 4413?\nAnswer: 4411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 18. Suppose 4*j + b = 26. Let v be 46\/(-23) - (-1 - -3). Sort 1, j, v in decreasing order.\nAnswer: j, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 27, 5006, -1 in increasing order.\nAnswer: -9, -4, -1, 27, 5006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.52 + -8.82. Let b = -28.54 + q. Round b to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let t(a) be the third derivative of 0*a**3 + 1\/20*a**5 + 2*a**2 + 0*a + 0*a**4 + 0. Give p(t(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382364422.\nAnswer: 2, 11, 163, 106627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4509787 + -2359787. Round a to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/5948?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p + 45 = -5*q, 0 = -q + 4*p - 12. Let t be 1 - 0 - (-11 - q). Suppose t*m - 753 = 11. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (476354*b**4 + 6949*b**2 + 476362*b**4 - 952717*b**4)*(4 - 2 + 0).\nAnswer: -2*b**4 + 13898*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (3 + 1 + sqrt(76))*5 + -3 + -5).\nAnswer: 36 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 17 = -7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002733229 to six decimal places.\nAnswer: 0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -3819?\nAnswer: -3819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1\/2 (b) 25\/227 (c) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -650*y + 209896. Give h(323).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424771*g**2\/7 - 3398180*g\/7 - 96\/7 = 0. Calculate g.\nAnswer: -8, -12\/424771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151709.\nAnswer: 3, 13, 29531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37912570537 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 (b) 2\/47 (c) 5 (d) -0.211 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - y)*(183*y**2 - 11*y**2 + 87*y**2) + (-3 + 2*y + 3)*(y**2 + y**2 - y**2) + 0*y**3 + 3*y**3 - y**3.\nAnswer: 781*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of (168\/(-14))\/((-12)\/3928)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -58.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1710 = 3*c - 2*a - 844, -4*c + 3406 = -3*a. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012222210 + 0?\nAnswer: 1012222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109381?\nAnswer: 89, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*(-3)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 + 4*i**4*w - 10*i**2*w + w wrt i.\nAnswer: -60*i**2 + 96*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 77352.\nAnswer: 232056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 30670400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-6))\/(-12) + -12 - -29?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/12*(-60)\/10. Find the second derivative of -q**2 - 80*q - 9 + 14 - k + 11*q**3 wrt q.\nAnswer: 66*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -396012058 and -0.23656?\nAnswer: 396012057.76344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -9. Let m(o) = o**3 - 7*o**2 + 3. Let p be m(7). Let t = 0.4 - 0. Which is the second smallest value? (a) t (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55858236 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: Rearrange (-19 + 19 + 20)*(-z - z + 3*z**2 - z**2) to a*z + j + v*z**2 and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - 29 + 18 + (3 - 5 + 1)*(-c + 4 - 4))*(5*c**2 + 2*c**2 + 3*c**2).\nAnswer: 50*c**3 - 110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2539 + 2534 = -2*q - 10*k + 5*k, 3*k - 21 = -3*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -18*y + 3. Suppose 11*s - 51 + 140 = -186. Let v(z) = 145*z - 25. What is s*o(k) - 3*v(k)?\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -656327.8 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:54 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 356 + -6050\/17. Suppose 2*v = 3*v + 34. Let m = v - -240\/7. Which is the nearest to 2\/7? (a) 1\/4 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(0\/(-4))\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 22*z + 14. Factor 2\/3 + 0*n - 2\/3*n**z.\nAnswer: -2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 0*o)*(-4 + 1 + 4)*((-18 + 1 + 0)*(-o + 4*o + o) + 4*o - 12*o - 6*o).\nAnswer: 164*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*h - 699*h - 20*h - 11*h.\nAnswer: -684*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 27*m - 76. Give r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let q(c) = -9*c**2 - 45. Give -q(z) + 45*r(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.1701 milligrams in kilograms?\nAnswer: 0.0009501701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11982 * 0.06.\nAnswer: -718.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3500*t + 6994*t - 2*j = 3495*t - 4*j - 84, 6*t + 5*j - 555 = 0 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 331?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/4 + 3*r**2. Let v be k(6). Let m = v - 143\/4. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269587758.4 rounded to the nearest 1000000?\nAnswer: -270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1872) + 1 + sqrt(1872)) + 4.\nAnswer: 6 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17143?\nAnswer: 7, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133765, 267528, 401293, 535060, 668829?\nAnswer: 802600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4\/4 + 11*h**3\/3 + 3*h**2 - 12*h + 1. Suppose 40 = -17*r + 13*r. Let p be b(r). Solve p = 3*l - 2*g - 3*g, -5*l = g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09999968 + -0.1. What is t rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*s + 16 = 0, -3*s + 0*s + 27 = 3*p. Let u(j) = -j**2 + 4*j + 5. What is the remainder when 8 is divided by u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 2*g**2 + g**2 + (g + 4*g - 4*g)*(0*g + 0*g + g) - 4 + g**2 + 4 - 44 + 26 - 19*g**2 + 20.\nAnswer: -15*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzudfsdtdsdtddfst. What is prob of picking 1 t and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -142706 divided by 6?\nAnswer: -71353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/300 + 1331*m**4\/60 - 1771561*m**3\/30 - 2123*m**2. Factor t(v).\nAnswer: -(v - 1331)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*c + 80 = 0, 0*c = -3*b - 3*c - 111. Let i be b\/90 - 2\/9. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**2\/2 + 9*q - 2. What are the prime factors of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 15 = -2*c, 0 = -2*f - c + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/(u\/(u\/u**(-6))))\/(u**(1\/2)*u)**22 assuming u is positive.\nAnswer: u**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 1\/3, -2, -0.17, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 70*s\/3 - 71\/3.\nAnswer: (s - 71)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 10:54 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 8\/3 (b) -0.09 (c) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1324466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 3. Let l be o(7). Let z be l - -2 - 3\/(-1). Let n = z + 2. Calculate the remainder when 4 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 3}. Give prob of sequence qs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -166*a + 865. Calculate k(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0128 in -46, 5, 14, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 + 11*u**3 - 13*u**3 + (-4 + 2 + 4)*(6*u**3 - 4*u**3 + 3*u**3) to k*u**3 + i*u**2 + m + v*u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -64 and 2.6.\nAnswer: -61.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/4 (c) 235 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from cciihxxxhxxcx?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.11 + -263.11. Which is the closest to 1\/3? (a) -2 (b) 2\/13 (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(21\/2)\/(u\/(u\/((u\/(u\/u**(-5\/6)))\/u))*u*u) assuming u is positive.\nAnswer: u**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -60. Let z be o\/(-119) - (-275)\/7. Let h = z - 19. What is the least common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8139\/18361 + 15\/301. Are b and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2443 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2. Let b(k) be the third derivative of 0*k + k**2 + 1\/24*k**4 + 0 + 0*k**3. Give b(w(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + (-54)\/(-10). Suppose -5*p + 58 = -77. Suppose 3 + p = a*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 12*q**2 + 40*q - 42. Let u(l) = l**2 - 7*l + 5. What is the remainder when j(-16) is divided by u(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.921 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -639 + 609. Let l be (768\/(-15) + -2)\/(6\/m). What is the highest common factor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 37. Let x be z(14). Let a(f) = 7*f**3 + 7*f**2 - 5*f. Let y(j) = 6*j**3 + 6*j**2 - 4*j. Determine x*a(n) - 6*y(n).\nAnswer: -n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.021 or -20250.9?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968415182.\nAnswer: 2, 3, 181, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*i**2 + 463*i**2 - 52*i**2 + 180*i**2 + 521*i**2 as l*i**2 + s + j*i and give l.\nAnswer: 1217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. Let m = 772.98 + -773. Which is the second biggest value? (a) m (b) -3\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, 20, 85, 174?\n\"Answer: 12*j**2 + 5*j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 1 - 1)*(-8*c + 21919 - 37*c - 21917).\nAnswer: 45*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -445092.9?\nAnswer: 445092.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(4 - 4 + 2*v) + (4*v + 0 + 0)*(-1 + 4 - 4).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64, 128, 192?\n\"Answer: 64*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -88. Let b = -6164.706749 - -6119.70674873. Let a = q + b. Round a to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97 minus -0.04231?\nAnswer: 1.01231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20196939 and 23082216.\nAnswer: 161575512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 1278 + 202 = 0. Calculate the remainder when 39 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-609)\/(-638)) + 0 + 4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 84, -240, -8.\nAnswer: -240, -8, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41184.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 4, k: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m - 1. Suppose -3*j + 2*j = 0, -2*o - 4 = j. What is f(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2200001 (base 5) to base 9\nAnswer: -56387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 649*u - 648*u - 38, 5*z = 39*u - 1346 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 take away 475676.3?\nAnswer: -475680.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 2*l + 1 - 1. Let g(v) = 748*v + 676*v - 1365*v. Determine a(g(y)).\nAnswer: -59*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032591590 to the power of 1\/3, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)*k)**(19\/5) assuming k is positive.\nAnswer: k**(152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12) - sqrt(12))\/sqrt(6) + (4 + sqrt(2) + sqrt(2))*4.\nAnswer: 9*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - (-69 + 88)) + 31?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/11))\/o*o**(-7)*o\/(o*o*o\/(o*o**(-5)\/o*o)*o)*o\/(o**(1\/6)\/o) assuming o is positive.\nAnswer: o**(-815\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36880, 36675, 36470, 36265, 36060, 35855?\n\"Answer: -205*l + 37085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 95 - 106 = 0. Let r(n) = n**2 - 3*n**2 + 0*n**2 - 4*n. Let q(v) = -6*v**2 - 11*v. Determine t*r(c) - 4*q(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 527, 1898, 4117, 7190, 11123?\n\"Answer: s**3 + 418*s**2 + 110*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 24*j - 40. Let k be v(-22). Sort k, -9, 2 in decreasing order.\nAnswer: k, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/110)\/(1*((-2436)\/(-145))\/(-28))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*v + 171*v - 720 = 438*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**3 - 2*v**2 - v + 3. Let i be m(1). Suppose -22010 - 8206 = -i*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 14. Let o(c) = -2*c + 27. Let q(j) = 3*o(j) + 7*s(j). Determine q(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -243\/5?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.75 minus -0.1?\nAnswer: 8.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1386 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17897256 divided by 26.\nAnswer: -688356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:07 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79745*n**6 - n**3 + 576987*n**2 wrt n.\nAnswer: -9569400*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90192, 90193, 90194, 90195, 90196?\n\"Answer: g + 90191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 0*f**3 - 3 + f**3 + (3 + 3*f**2 - 3)*(-12*f + 9*f - 4*f) + 3*f + f**3 - 3*f.\nAnswer: -19*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2448 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 4*j + 47*j + 468 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52595 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 5, j: 1, x: 7, n: 1}. What is prob of picking 3 x and 1 n?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104441240 (base 7) to base 5.\nAnswer: 3104001243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 13 - (-138 - -160) - (8 - -23).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-303234)\/(-10) - 2) + (-14)\/((-1260)\/54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6279738162?\nAnswer: 2, 3, 23, 45505349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19481 + -13985. What is the highest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06434183583 rounded to 6 decimal places?\nAnswer: 0.064342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 84. Suppose 2*c - 3*c + y = -5*d, -19 = -3*c + d. Let p(q) = -13*q**3 - 2*q**2 + 1. Let v be p(-1). Solve 3 = c*t - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 671 - 643. What are the prime factors of (2\/(-6))\/((n\/(-7))\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 9 = -5*n - 3*v, 2739*n - 7*v + 108 = 2743*n - 3*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-45)\/21*2\/(-4)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165055 + 165055 + 21*u.\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17971 divided by 1.\nAnswer: 17971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/(14\/(-35)). Suppose -n + 10 = n + f, -c*n + 4*f = -15. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from jdjyyyyyyjdjy?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 0 + 0)*-5 + -3*(sqrt(320) - (sqrt(320) + 2 + -2)))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*s*v**4 + 1217*s*v + 7*v**4 + v wrt v.\nAnswer: 540*s*v**2 + 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - c - c + 16*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*z + 312 = 0, 75 = -3*s + 5*z + 296. Suppose 0 = 2*m - s - 9. Let g = 60 - m. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 27*o = 2*o - 45*o + 366 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 509, 1324, 2465, 3932, 5725, 7844?\nAnswer: 10289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 159685.\nAnswer: 39\/159685","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 196. Let c be (-8 + -878)\/(20\/t). Let i = c - -2177. Find the common denominator of 99\/14 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:58 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*i*n + 14*c*i + c*n - 14*i*n - 58 wrt n?\nAnswer: -2*c*i + c - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88)*-2*5)\/(sqrt(48)\/(3*sqrt(42)\/sqrt(7))))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 0.32, -1?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 18*x + 36. Give t(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38574 + 3238*m - m**2 - 38574 as i + h*m**2 + x*m and give x.\nAnswer: 3238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 + (-46 - (-11 + -6 + 9))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 91*a**6\/40 - 7*a**5\/60 - 2833*a**3\/2 - 28*a**2 + 35. What is the derivative of z(v) wrt v?\nAnswer: 819*v**2 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 3*o**3 - o**3)*(-2 + 1 + 2 + (-7 - 1 - 3)*(2 - 1 + 1) + (-2 - 2 + 3)*(2 + 3 - 7)).\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -126.827 times -18.58\nAnswer: 2356.44566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2564245 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(537\/(-75) - -7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 23*n**3\/6 + 37*n**2\/2 + 3*n - 14. List the prime factors of g(9).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 + -0.3196. Let p = -0.029 - k. Round p to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35768 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*h + 2*k + 21, 3*h - 5*k = 29. Suppose -3*x = 2*f - h*x - 33, 3*f - 5*x = 47. What is the remainder when 25 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 262 + 73 = x, 5*x - 5*d - 1625 = 0. What is the highest common factor of 30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/3, -2\/2793?\nAnswer: -2\/2793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 3726?\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42630 + -22728. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 4 - 4\/(2*-1). Suppose r*c - 4*k - 187 = 2*c, -5*c + 875 = -5*k. Suppose h - 37 = -4*d, 3*h - c = 4*d - d. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 26*k**2 + 58*k - 17. Let u be r(28). Solve 8*q - u + 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4 - -1)\/((-6)\/60). Let v(a) = -2*a**3 - 7*a**2 - a + 5. Let j be v(-3). Put -2, w, j in descending order.\nAnswer: j, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 not equal to -10624\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u - 27*u + 20*u**3)*(2 + 2 - 3) + (u**3 + 2*u**2 - 2*u**2)*(0 + 0 + 1) + 2 - 2 + u**3.\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2798*t - 48 = -2802*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 396*j**3*p**3 - 2538*j**3*p**2 - j**3*p + j**2 - 3*j*p**4 wrt p?\nAnswer: 2376*j**3 - 72*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 9. Find the second derivative of 11*b**2 + b**2 + g*b**2 + 4*b**2 + 12*b wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 11:43 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325\/22 - -1669\/110. What is the nearest to d in -0.3, 1, -335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1342.7 * -0.04.\nAnswer: -53.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5988, 23792, 53464, 95004, 148412, 213688?\nAnswer: 290832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391271903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458910 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let w(q) = -2*q**2 + 8*q - 8. Let t be (-3)\/(-12) + (-31)\/(-4). Let j(f) = f - 1. Let i(a) = t*j(a) - w(a). What is x(i(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2948, 5896, 8844, 11792, 14740?\n\"Answer: 2948*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 45*t - 810. Calculate c(19).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 4, -19, -60, -125, -220, -351?\n\"Answer: -h**3 - 4*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -40. Sort -7, h, -2.\nAnswer: -7, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -959 and 5398134962?\nAnswer: 5398135921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 - 2*f**4 + 4*f**3 + 3*f**2 + 10*f - 8?\nAnswer: -60*f**2 - 48*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45859968 divided by -162624.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4445405 (base 6) to base 13.\nAnswer: -7b038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = g + 4972, 4*g + g + 3*w + 25056 = 0. Which is smaller: -5006 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 3*r = -1137, 0 = -5*d + 3*r - 311 + 110 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -9, 2, 449 in descending order.\nAnswer: 449, 2, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 + 53264*j**2 - 178059200*j + 4943986432 = 0.\nAnswer: 28, 6644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.0084158, 4\/5, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/4 - 35*a**4\/4 - 95*a**3\/3 + 1748*a. Factor f(o).\nAnswer: -5*o*(o + 2)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17490 at most as big as -16851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -10*n + 3326. Suppose -5*y - 86 = -n. What is the highest common divisor of 30 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34256317.\nAnswer: 34256317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-22)*s)\/s*s*s*s)\/s**(-26) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62836693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 5*i**3 + 2*i**3)*(-15 - 51 + 4)*(-4 - 8 - 10).\nAnswer: 1364*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 99 = 49 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 7}. What is prob of sequence fff?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + (-31 - -3534). Suppose -35*l + 28*l + w = 0. Is l a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 14. What is the lowest common multiple of (-9)\/2 + (-2046)\/(-44) and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8497.037 + -8497. Put 0.2, -0.17, s in decreasing order.\nAnswer: 0.2, s, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8cd + 13?\nAnswer: -8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + -0.71. Let j = 0.37999675 + s. Round j to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(288)*-2)**2 + sqrt(2)*-1*-4 + sqrt(16)\/sqrt(2) + ((sqrt(500)*-1 - sqrt(500))*4)\/(sqrt(10) - 1*sqrt(250)).\nAnswer: 208*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5355569 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342615471 divided by 14281?\nAnswer: 23991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29729?\nAnswer: 7, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 87 = 3*h - 672, 3*s = 2*h - 525. Suppose 3*p - 99 - h = -5*i, -3*i = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 + r**2 + 3*r + 3*r**2 - 2 - 6*r. Let x be z(-4). Let q be (-36)\/(-8) + (0 - (-3)\/x). Solve -b = q*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*d, 3*d - 3*b + 2 = 23. Solve 33*f = -161 - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**3 - 17*h**3 - 26*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + n = 45, -2*v + 26 = 2*n + 2*n. Suppose v = 5*d - 4. Differentiate -6*u**3 - 1 + u**3 + 4*u**d with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.88672 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 210*c + 648.\nAnswer: -2*(c - 3)*(c + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 15, -2\/17, -4, 0.0336?\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843, 870, 873, 840, 759?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1834*b + 2*b**2 + 0*b**2 + 2 - 1667*b.\nAnswer: 2*b**2 + 167*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1995*s**3 + s - 644.\nAnswer: -11970*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010100 + 111001010000?\nAnswer: 1010000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 39 = 12. Let t = 15 - g. Let s be t\/(-6) - (-12)\/(-60). Which is the second smallest value? (a) -2 (b) s (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5670 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26225.\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122 and 3505.\nAnswer: 427610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8004, -32220, -72682, -129390, -202344, -291544?\n\"Answer: -8123*b**2 + 153*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.8 + -2.74. Let q = n + -0.06. Which is the third smallest value? (a) q (b) -1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*o + 4101 + 1905. What is the remainder when o is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4136712 at most as big as -4136711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761334*g + 761343*g - 1522684*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -5 (c) 0.048 (d) 1\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*q - 294 = -300, 3*q = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**3 - 2*z**2 - 4*z + 6. Let i be f(2). What is the greatest common divisor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2290, 3373, 4460, 5551, 6646, 7745?\nAnswer: 8848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 6*c = -18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-25))\/(-78 - (-483048)\/6192)\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 236 = -218, 5*z + 38 = 3*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 669 = -426. Let i(u) = -4*u - 2. Let a be i(5). Let g = a - -36. What is the remainder when r is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -104 + 354. Suppose 0 = 5*r + 157 + 3. Let i = g + r. Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -43602440\nAnswer: -91565124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m. Let y(h) be the second derivative of h**5\/10 + 5*h**2\/2 - 12*h. Let a(t) be the first derivative of y(t). Determine a(f(g)).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-11 + 26 - 33 - (-7 + 3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.9182 millennia to months.\nAnswer: 143018.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/87)*o*o\/(o\/o**17))**(1\/3) assuming o is positive.\nAnswer: o**(1742\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 117 (c) 4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34755 by -1.\nAnswer: -34755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0\/4)\/5*(-2)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 16*w - 11. Determine o(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-175) + -2 + 10\/(-35))\/((-1400)\/(-38500)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 37*g - 38*g - 12 = 0, -3*g = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (255\/10)\/((-21)\/(-322))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071699643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/65 in 1, -3, -21, 0.1, 0, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n + 2*t = -34071, 3*n = 4*t + 34071. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168431 is divided by 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fchhh. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12258.999989737 + -12259. What is a rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 - (1287\/91 - 2). Factor 0 + x*t + 2\/7*t**3 + 8\/7*t**2.\nAnswer: 2*t*(t + 1)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -87136*f + 87308. What is t(1)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23216294.\nAnswer: 2, 137, 84731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 3, 2, 1?\n\"Answer: -o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 173054, 346418, 519782?\n\"Answer: 173364*k - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(3 + 2*h**2 - 3)*(130 - 36697868*h + 36697864*h + 30) to g*h + s*h**3 + y + p*h**2 and give p.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -205173 < -205174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 524 = 2*m, -r = 3*m - 46 - 224. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**3 + 41*d**2 + 6*d + 7. Let c be k(7). Solve 1\/3*a**2 - a + c = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)\/(-1*sqrt(11)*-4))\/((sqrt(4) - ((sqrt(44) + sqrt(88)\/sqrt(2))\/sqrt(11) + sqrt(4)))*-6) + -2)*3)**2.\nAnswer: -3*sqrt(5)\/4 + 9221\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.84678 nanograms in micrograms?\nAnswer: 0.00684678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -20 + 3 + -8 + 51?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 176321, 352637, 528935, 705209, 881453, 1057661, 1233827, 1409945?\n\"Answer: -r**3 - 3*r**2 + 176332*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 5*o**3\/3 - 7786. Let h(a) = 349*a**2 - 1. Calculate z(h(q)).\nAnswer: 609005*q**4 - 3490*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 14*d + 108. Calculate the smallest common multiple of 6 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 80941*m**2 - 3038*m. Let q(x) = 213*x**2 - 8*x. Give -4*p(k) + 1519*q(k).\nAnswer: -217*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1347165 or 2\/7?\nAnswer: 1347165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2965*c - 2201*c = -12988 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 99 - 29. Suppose 5*f - t*f + 6 = 0. What is the remainder when 182 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/49 + 258\/(-70) + 2)*-1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q - 70. Let b be z(14). Let h = 174 - b. Calculate the least common multiple of 7 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7199959*s**4 + 3*s**3 + 49355651*s**2 wrt s?\nAnswer: 172799016*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*d - 7*d = 3, 4*d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(272)) + -5)*6.\nAnswer: -18*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 872728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 146\/(-96) - -1. Let v = 53\/16 + b. Calculate the common denominator of (-2 + 1)\/((-16)\/186) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -663?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*o + 8*o. Determine v, given that 8*v**3 - 11*v**o + 15*v**4 + v + 4*v**2 - v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 17084091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*o + 3*o. Suppose -4*t - o = -7*t. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 7. Suppose 9*y = 5*y + s - 84, 2*y + 42 = 2*s. Calculate t(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.502 - 3.002. What is the third smallest value in -11, -2, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = -6. Suppose -10*r = -5*r - 80. Suppose 5*j - j - r = 2*u, -4*u = 2*j + 22. Is g greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*4)\/(-5*sqrt(144)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/6*(-4)\/3. Let f be 4\/y*(-1)\/(-1). Solve -5*p + 2*r = -3*p + f, 0 = -2*p - 5*r - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696*1.1.\nAnswer: 765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/3*((-36)\/15)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 36\/877?\nAnswer: 36\/877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46253525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(3\/7)*y**(-6))**(-36))**(-3\/14))**(-29\/5) assuming y is positive.\nAnswer: y**(61074\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2*-2 - -56. Let v = 10 - o. Let n be 8\/v + 40\/(-22). Sort -5, n, -4 in descending order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5 - 3\/5*x**2 + 7\/5*x = 0. Calculate x.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-8))\/12*81\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*b*k*m**2*y - 168260*b*k*m - b*m**2 - 21*m**2*y + 15132*m**2 - 2*y wrt k?\nAnswer: 19*b*m**2*y - 168260*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*9\/180)\/(-1 + -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2464676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/12)*w)\/(((w**(-7)*w)\/w)\/w))**(-16) assuming w is positive.\nAnswer: w**(-484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 566, 573, 592, 629, 690, 781, 908?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -3, 8\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -28 + (904 - 882)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654 is divided by 178.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 417809 divided by -13\nAnswer: -417809\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6159 - 3737. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from bqqeexxmqxlq.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -2\/89937, -4, 0?\nAnswer: -2\/89937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 582995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + d - d)*(-4*d**2 + 4*d**2 + 2*d**2) - 3 + d**3 + 3)*(0 + d**2 + 0).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -913.6 and -1?\nAnswer: 913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244556 + 244544. Suppose -2*z + 0 + 4 = 0. Sort i, -3, -2, z in decreasing order.\nAnswer: z, -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3071 divide 51979746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 27. Let p(f) = 7. Calculate 9*p(x) + 2*q(x).\nAnswer: -4*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-28)*28 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0099 + 130.5099. Let f = 131 - j. Which is the nearest to -0.2? (a) -1\/5 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12165, -24454, -36743, -49032, -61321?\nAnswer: -73610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2 + -5.4. Let c = 0.8 - s. Let f = -2 - -1.8. What is the closest to -1 in f, c, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40687 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 889439.5ml?\nAnswer: 889.4395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2396 + 1058. What are the prime factors of (-69)\/92 + d\/8?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and 5\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11055 + -11037. Calculate the remainder when (-458)\/(-14) + 2\/7 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 25. Let x be (-26)\/(-6) - 2\/6. Suppose -k*t + 5 = -x*t. Which is the closest to 0.1? (a) 0.4 (b) t (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004049 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2137069 divided by 12353\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**3 + 6*v**3 + 8*v**3)*((4 - 4 - 2*v)*(-2*v - 3*v + v) + 3*v**2 + 2*v**2 + v**2).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v**2 + 73*v - 25. Determine s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 16 = 3*z, 6 + 6 = 3*n. Suppose z = 9*j - 13*j. Solve 4*o + v = -j*v + 11, -2*v - 14 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 367*x**8\/28 + 715*x**4\/12 - 620*x. Find the third derivative of o(i) wrt i.\nAnswer: 88080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 63 - (-19 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02146 + 0.36146. Which is the second smallest value? (a) -2 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60995155 times 0.3?\nAnswer: 0.182985465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 + 23*q**2 - 8*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2284, 2344, 2404, 2464, 2524?\n\"Answer: 60*h + 2224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8 - 4. Suppose -u*y + 26*y - 13656 = 0. Calculate the remainder when y is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:08 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 2) + (-85 - -76)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 26422216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/18382?\nAnswer: -5\/18382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {l: 4, m: 8, r: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -1.231.\nAnswer: 19.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 850, 874, 924, 1012, 1150?\n\"Answer: 2*q**3 + q**2 + 7*q + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110990 divided by 1009\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 100 = -3*k - 0*k, 2*y - 208 = -4*k. What is the units digit of y\/18 + 2\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -26. Solve 5*i + u = 3*i + 10, 16 = z*i + 2*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (245\/(-10))\/(0 - 1)*102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.8 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1469 + -5?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8186*x - 13380. Let i(u) = 16367*u + 26730. Let m(n) = -5*a(n) - 3*i(n). What is the first derivative of m(c) wrt c?\nAnswer: -8171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 3*t**2 - 4*t**4 - 1 + 5*t**4 - 34*t**3 + 34*t**3 in the form r*t**4 + q*t**3 + x + y*t**2 + o*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3707? (a) 43 (b) -1.9 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 19 - 25*g**3)*(4 + 5 - 6) to the form o + p*g + l*g**2 + h*g**3 and give h.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 - -1.68. Let c = -0.06 - q. Let a = -2.000012 - c. What is a rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 10*f**4 - 274*f**3 + 2058*f**2 - 2470*f + 676 = 0.\nAnswer: 2\/5, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -4, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.9 + 49. Which is the closest to 0.6? (a) 3 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.888 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -368.3 (b) -3\/5 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339.437 + 15.543. Let v = g + -355. What is the second smallest value in v, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in years?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 22*h - 16. Suppose 3 = -h*t - 17. Let v(g) = g + 6. Determine v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291058.7l to millilitres.\nAnswer: 291058700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -138. Calculate the greatest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 32*y + 34*y + 2*y**3 + 4*y**2 to the form n*y + r + a*y**3 + c*y**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaccc. What is prob of picking 2 c and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4 - 505758*b**3 - 2023068*b**2 - 2023080*b = 0. What is b?\nAnswer: -2, 0, 168590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: f8 (base 16) to base 7\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 + 29*v - 29. Let o be n(1). Suppose 1080 = j - 4*r, 4*j + r = 3*j + 1105. Suppose o*g + g = j. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09078672 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(567) + -2.\nAnswer: -3 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1 - 1)*-2. Let w = -3761 + 3763. What is the nearest to w in -4, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110798 or 221593\/2?\nAnswer: 221593\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + w + 4 = 4*o, -3*o + 28 = w. Suppose 0 = -v + o*v - 70. What is the remainder when 99 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = 0, -65 = -2*j - u + 1153. Suppose -11*a + 13*a = j. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -273*h - 1961. Determine l(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w - 4*w + 3 - 2*w + 4*w in the form t + f*w and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {y: 1, r: 2, o: 1, w: 1, l: 2, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v - 17*v + 70 - 5 + 5*v in the form r + m*v and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7 + 11 - 21*c + 30*c + 50*c. Let m be w(2). Suppose m = h - 72. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(931) + -2 + sqrt(931)*1 + sqrt(931) + (-1*sqrt(931) + 1 - sqrt(931)) - (-3 + sqrt(931)*-3)*1))*-1)**2.\nAnswer: 392*sqrt(19) + 14945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/20 - o**4\/8 - 2*o**3\/3 + o**2. Let n be a(-2). Suppose -34 - n = -3*v. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 3, -41, -85 in ascending order.\nAnswer: -85, -41, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y + 84. Let u(c) = -c + 2. Let g(q) = m(q) + 3*u(q). Let k be g(-9). Solve -6*f + 3*f - k = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(((-1813)\/14)\/(-37)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5666 is divided by 516?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7277 - 4439. Let n = 6164 - a. Factor -3335 + n + 6*g + 0*g**2 + 3*g**2.\nAnswer: 3*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12711557*n**2 + 27935227*n?\nAnswer: -25423114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/12 - 5*p**3\/2 + 5*p**2\/2 - p. Let o be w(-15). Solve -15 = 5*l + o*b, 0 = -3*l + 3*b + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:38 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15926 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(95)\/(sqrt(20)\/sqrt(4)) - sqrt(19)) + (sqrt(152)*-2)\/sqrt(8)*-4.\nAnswer: 1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 9 = -q + 10, z - 12953 = -q - 12946 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316367 divided by -2?\nAnswer: 1316367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*c + 5 + 2*c**4 + 19*c wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7609, 15218, 22827, 30436, 38045, 45654?\nAnswer: 53263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190200 divided by 95100.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6 + 6. Let q be p\/(0 + (-3)\/2). Let k be (4 - 3) + q + 0. Are k and -1\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 166*j - 180*j - 5 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16120 divided by 248\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -7*x**3 + 2. Let g be (54\/(-10) + 0)\/((-6)\/30). Let p(f) = g*f - 15*f - 14*f. Calculate p(l(h)).\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4239*p**2*t**3 + 2*p**2*t**2 - 5505*t**2 wrt t?\nAnswer: -25434*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790315 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 225 = -45*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. Find the second derivative of 4*t + 0*t + 3*t**q - t**4 - 5*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47257.35 centimeters?\nAnswer: 472573500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25683291 divided by -47?\nAnswer: 546453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-1 + 0))\/(16\/(-136)). Let 7*o**4 - 10*o**4 - 3*o**3 - y + 34 + 12*o**2 + 12*o = 0. Calculate o.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 405, 350, 287, 216, 137, 50?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*t = 2*h + 18, -4*h + 2*t - 90 = 0. Let z = 28 + h. Suppose 277 = z*m - 199. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17100 - -17100.074232. Let h = p + -3.073932. Let a = h + 3. Round a to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13935761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + 5 + sqrt(68))*1)**2*-1.\nAnswer: -149 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/7)\/((-6)\/(-4)). Let r = -26 - -25. What is the tens digit of 32\/n*(r - 38\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/5 + 10677*y\/5 = 0.\nAnswer: 0, 3559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1913, 585 in decreasing order.\nAnswer: 585, 15, -1913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 2. Let c(q) = q + 1. Let f(s) = -4*c(s) - 5*w(s). Let n be f(-4). Suppose 3*z + 5*u + 14 = 2*z, -4*z - 2*u = n. Which is bigger: z or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5\/8 - 1749*r**4\/4 + 227019*r**3\/8 - 845761*r**2\/2 - 2407515*r\/2 + 3879018 = 0?\nAnswer: -3562, -4, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/12 - 5*y**4\/6 - 5*y**3\/2 + 7*y**2 - 9*y. Let f(r) be the first derivative of o(r). Solve f(b) = 0 for b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(8\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 10183860, 2 in ascending order.\nAnswer: -2\/11, 2, 10183860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107.86 + -109. Let w = x - -0.14. Which is the closest to w? (a) 4 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2459*n - 4142*n - 267*n + 389*n - 726*n)*((1 - 5 + 2)*(-3 + 0 + 2) + 0 - 3 + 1 - 4 + 1 + 1).\nAnswer: 14410*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, n: 1, w: 1, k: 1, s: 1, h: 5}. Give prob of sequence sr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbbwbbbbbbbbbwwbb. Give prob of sequence wb.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 221.2533m?\nAnswer: 0.2212533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2628912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6537 - 2417*l + 2942*l**4 + 2417*l - 1430 wrt l?\nAnswer: 11768*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 34 + 14. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -30.8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**2*p**2*x - 6*j**2*p*x**3 - 3*j*p**2*x**3 + j*x**3 - 16*p**2 + 43*p*x wrt p?\nAnswer: -30*j**2*x - 6*j*x**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152240 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s*s)**(-10)\/((s*(s*s\/(s*s\/s**(-1\/5)))\/s)\/s**11) assuming s is positive.\nAnswer: s**(356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 58869880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -30*u**2 + 8 + u - 10*u**3 + 26*u**3 - 26*u**3 + 36*u**2 - 7*u. Let j(h) = 20*h**3 - 11*h**2 + 11*h - 15. Give 6*j(v) + 11*n(v).\nAnswer: 10*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3485 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*f + 390 - 390 + (13 - 13 - 44)*(3*f - 4*f - f).\nAnswer: 164*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000767 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3 + sqrt(5)) + -2 + sqrt(5) + 3 + sqrt(5) - (4 + sqrt(15)\/sqrt(3) + sqrt(10)\/(sqrt(2)*4))) + 2)**2*-6.\nAnswer: -8343\/8 + 429*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+130402324882296\nAnswer: 130402324882295.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and 0.1429.\nAnswer: 11.1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Suppose -2*v + 6*v + 26*v - 90 = 0. Let a(g) be the third derivative of 0*g + 0 + 0*g**v - 1\/3*g**4 - 4*g**2. Determine a(n(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85652 and 6595204.\nAnswer: 6595204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 40, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1)**10\/(v**0)**(-21\/5)*(v\/v**(2\/13)*v*(v*v*v*(v\/(v\/v**4*v))\/v*v*v)\/v)**3 assuming v is positive.\nAnswer: v**(306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-2)\/(-40)*2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/5 + 1)*(-54 + 7595\/140).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.8 + 5.8. Let d = 15 - j. Let s = 25\/39 - 4\/13. Which is the closest to -0.1? (a) s (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154154*a**3 + 138292*a**2?\nAnswer: 924924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*b - 18. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 19. Is (-28 + 1 + -1)\/g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 45059 = -351161. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 25808 = -24248. Let z be (0 - 0)\/(-1) + 142. Let b = n + z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -142938*s - 3716364. What is i(-26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from vqcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 + 4*o**4 - 6*o**4 - o + 90 + 2*o**3 + 0*o + 3*o**2 to s*o**3 + l + v*o**4 + k*o**2 + q*o and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/13 and -1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -270543 * 148.\nAnswer: -40040364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/4 - 47304*l**3 - 2237857624*l**2 - 17900590464*l - 35799667264 = 0. What is l?\nAnswer: -94604, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from {e: 1, h: 2, x: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5700508 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2207 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 14*j**2 + 13. Let a be b(-14). Solve -5*v + 3*s + 37 = 0, v - 5*s + 3*s = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 - 3*i - 6. Let v(r) = -7*r**2 + 6*r + 12. Calculate 5*g(s) + 3*v(s).\nAnswer: -s**2 + 3*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + g = 3*h - 3, 2*g - 2 = 0. Suppose 5*r = 39 - 59. Let q = 4 + r. Solve q*a - a = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 70991.54 days?\nAnswer: 1703796.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -721, -1489, -2289, -3127, -4009, -4941, -5929, -6979?\n\"Answer: -o**3 - 10*o**2 - 731*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -116*g**2 + 27108*g + 8424 = 0. Calculate g.\nAnswer: -9\/29, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(475)*1 - sqrt(475)) + (sqrt(475) - (sqrt(475) + sqrt(475)*2 + -2)) - ((sqrt(456) - 2*sqrt(456))\/sqrt(12))\/(sqrt(24)\/(1*sqrt(12))).\nAnswer: -9*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4733, 1\/2.\nAnswer: -4733, -7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 337*i + 676. Let l be x(-2). Which is the nearest to 1\/8? (a) l (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4153, 16682, 37569, 66814, 104417?\nAnswer: 150378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1636*0.558.\nAnswer: -1.7652888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(192) + 0)*4)**2 - 5*(4 + (sqrt(147)*1)**2 + 3).\nAnswer: 512*sqrt(3) + 2366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1414 divided by -27\nAnswer: -1414\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**1*h))**8\/(h*h**(-3\/7)*(h\/h**(7\/4))\/h) assuming h is positive.\nAnswer: h**(-191\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34346077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -46\/7, -7\/4, -1, -5, -3\/2 in decreasing order.\nAnswer: -1, -3\/2, -7\/4, -5, -46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -22 - -18) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1 + 2\/(6\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 8 = 2*g, -2*g - 20*v + 22*v + 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1133*i - 6949. Is 2 a factor of m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 4*m - 2. Let f be y(4). Let p be -1 + 1 + 7\/f. Factor 0*i + p*i**3 + 0 + 0*i**2 + 1\/2*i**5 + i**4.\nAnswer: i**3*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 690 + -678. What is the least common multiple of s and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 4 + sqrt(1539) + sqrt(1539) + 1 + -2)**2.\nAnswer: 360*sqrt(19) + 6256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1235594 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(28\/32) + -16 + 19 + 8789 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*r = 25, -r - 27694 = -3*n - 27674 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6) - 1\/3. Let z(s) = -s**3 - 7*s**2 + 8*s - 14. Let q be z(-8). Let x be 1\/(q\/(-102)) - 8\/28. What is the greatest common factor of y and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 11*b - 5. What is x(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 90*z + 656 = 0. What is z?\nAnswer: -82, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4377 - -4381. Solve 3*m - z*u = 5*m + 14, 0 = 4*m + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241977 divided by -80659?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 73. Determine z(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10387 and 5499?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*p - 1865 = -761, -3*a = 5*p + 1112. Let c be (-2)\/8 - 35\/a. Is c less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d)**0*((d**(-3\/2)*d)\/d*d*d)\/(d*d**16))**6 assuming d is positive.\nAnswer: d**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -11.03. Let h = t + 0.03. Let w = 0.2 - 1.2. Which is the nearest to 2\/3? (a) -3 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5791*w**3 - 30655.\nAnswer: 17373*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 1, 2\/5, 0.17, -454?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10640, 47108, 109416, 197564, 311552, 451380, 617048?\nAnswer: 808556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/88266 + 73349053\/617862. Let t = g - 119. Is t less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-112)\/(136\/17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 3*w)*(324*w**2 + 2*w**3 - 324*w**2 + 29).\nAnswer: -2*w**4 - 29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -31. Let h = -1 + l. Solve 3*z - 4*z - 12 = 4*w, -h = -z + 3*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.3. Let l = -9372 - -9377. What is the nearest to 7 in h, l, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*((1 - 2 + 0)*(2*q + q - 4*q) + 4*q - 6*q + 3*q + 0 - q + 0 + 0 + 0 - 2*q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:28 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*q + 5026 = 0, 5*q = 3*a + 4*q - 3009. Suppose -6*o + a = -2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-14))\/(2697\/6293).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 29. What is the remainder when 19 is divided by 2 + y*(0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-680)\/90)\/17*(-11)\/(-198)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1327, -149, -5, 3 in descending order.\nAnswer: 1327, 3, -5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/7)\/(n*n*n\/(n\/n**(2\/5)*n)*n)*(n*n**(-15))\/n*n**(2\/3) assuming n is positive.\nAnswer: n**(-1817\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) - (74\/111 - (-1)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + 23*n + 3 - 11*n)*(3 - n**3 - 3).\nAnswer: -3*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 - 7) - (-1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*m + 122*m**2 + 130*m - 29*m**2.\nAnswer: 93*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14259 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: Put -0.43, 2142, 1\/5, -1, 0 in decreasing order.\nAnswer: 2142, 1\/5, 0, -0.43, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1227?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 10390 (c) -5 (d) -1\/132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148466.\nAnswer: 2, 19, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101200021 (base 3) to base 8\nAnswer: -17147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 87, 131, 173, 213?\n\"Answer: -t**2 + 49*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = 11, -z = -2*k + 7. Suppose v + 6830 = z*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238089 - 49892. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -5660 in descending order.\nAnswer: 0, -0.5, -5660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.011? (a) 4\/9 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68972068.\nAnswer: 2, 11, 431, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose -f*y = 3 + 7. Let p = 0 - 1. What is the closest to p in -1\/7, y, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 30 = -2*t - 26, -5*q + 3*t + 32 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7745523949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - b - 4. Let v be p(3). What is the biggest value in v, 1\/3, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -6.\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/(j*j\/(j**(-1\/3)\/j))*((j**(1\/3)*j)\/j)\/(j**(-4\/5)*j))\/((j\/(j*j**(2\/7)\/j*j))**12*j**(-1\/5)*j*j**(2\/11)\/j*j) assuming j is positive.\nAnswer: j**(-20\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**4*a))\/a*a**(-4\/3))**(-14\/13)*a**7\/a**(-7)*a**(4\/9)*a*((a*a**(-3)*a)\/a)\/a assuming a is positive.\nAnswer: a**(1246\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*w + 81*w - 99*w.\nAnswer: -149*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/13)*c**(-5))**46 assuming c is positive.\nAnswer: c**(-2300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 2*b + 1. Suppose 3*v - 2*s = -7, v + s = -s - 5. Let a be o(v). Let f = a - 19. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (102 + -36 - 36).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 - k - 1. Let s be b(-4). What is the second derivative of l**s - 3*l**3 - 30 + 0*l**3 - l - 4 - 17*l**2 wrt l?\nAnswer: -12*l - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 358 and 22.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d + 12. Suppose 4*z - 20 = -2*j + 90, d*j - 90 = -3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(-2\/13)*(n\/(((n*(n\/n**2)\/n*n)\/n)\/n))**(-26) assuming n is positive.\nAnswer: n**(-3044\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -27, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95254664.\nAnswer: 2, 109, 313, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11681 is divided by 196?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5870, -23487, -52852, -93965, -146826, -211435, -287792?\n\"Answer: -5874*q**2 + 5*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000163 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193565 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 364 + 249 + -626 + -1 + (21 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20148 - 41552.9?\nAnswer: -21404.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppx. Give prob of sequence xp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**4 - 3047 + 3047 + (-2*k + 2*k + 2*k**2)*(5*k**2 - 4*k**2 + 3*k**2) + 4*k**4 + 0*k**4 - 2*k**4 + 0*k + 0*k + k**4.\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/20 - 5*h**4\/12 + 35*h**3\/6 + 3*h**2 + 3*h + 20. Let m be x(-9). Solve -y - 2*y = -k + 4, -5*y = m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12556708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 304, 616, 918, 1204, 1468, 1704, 1906, 2068?\n\"Answer: -d**3 + d**2 + 316*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.6021ng in grams?\nAnswer: 0.0000005186021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*3 - -1. Solve 0 = -4*i - 0*i + s*b + 12, -5*i = -4*b - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.007 - 0.107. Suppose -9*f - 14 = -32. Which is the closest to s? (a) -0.1 (b) f (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2 - 6*k - 6. Let j(x) = x**2. Let b(l) = -4*j(l) - y(l). Give b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 102, 4, -3, 0.1, 13235\/2 in descending order.\nAnswer: 13235\/2, 102, 4, 0.2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.17 (b) 5 (c) 8 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/6 + l**3\/2 + 3*l**2\/2 + 4*l. Suppose -4*y - 1 = -5. Let r(a) = -a**2 - a - 1. Give y*w(k) + r(k).\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + d - 65 + 9 = 0, 4*r - 3*d - 102 = 0. What is the lowest common multiple of 15 and r?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144546 is divided by 1690.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -4\/9, 1\/8, 3\/2 in decreasing order.\nAnswer: 3\/2, 1\/8, -4\/9, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7983.33ml in litres?\nAnswer: 7.98333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3968 = 927*p - 2521 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 2, p: 9, m: 2, w: 5}. Give prob of sequence lk.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2746342704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.46 + -3.46. Let d = -32\/285 - 2\/95. What is the second smallest value in d, t, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - 111. Let k = p + 146. Which is the biggest value? (a) -0.1 (b) k (c) 3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g + 2*n = 26, 2*n + 30 = 5*g. Solve 0 = -z - 3*w + 8, 6*z + g = z - 3*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4*j**2 - 339*a**4 - 2*a**3*j**2 - 5*a**2*j + 525*j**2 wrt a.\nAnswer: -24*a*j**2 - 8136*a - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*l + 38 = 3*c, 4*c = -3*l + 18. Suppose -3*k - 6 = 4*a - a, 14*a - 6 = 3*k. Suppose a = -o + c*o - 120. Is o >= 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1249*i - 1185*i + 8 + 2404*i + 2*i**3 + (-2*i**3 + 2 - 2)*(-2 + 4 - 3) to the form k*i**3 + h + p*i + n*i**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + 0 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -11.097.\nAnswer: -11.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 25*i - 3. Let u be z(0). Let v(d) = -19*d - 25. Let a(l) = 6*l + 8. Let f(y) = -7*a(y) - 2*v(y). Calculate the remainder when 16 is divided by f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2431 - -46697625672?\nAnswer: 46697625671.7569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + o - 3*o)*(5 - 1 - 5) - 5227*o - 3894854 + 17513*o + 3894854 to u*o + m and give u.\nAnswer: 12288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372708175?\nAnswer: 5, 7, 79, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1222 + -14330232?\nAnswer: -14332004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 5*f - 1 = -33. Sort 21, -5, -1, f, -4 in descending order.\nAnswer: 21, -1, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*r + 3*d - 6 = 0, r + 8 = 5*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88247398*k**4 + 661356120 with respect to k.\nAnswer: 352989592*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-6))\/a**(-3\/5))\/((a\/(a\/a**(-7)))\/a**(-9)))**(-16) assuming a is positive.\nAnswer: a**(512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-13 + 1) - 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 420*f - 402. What is l(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*u + 3426 = 0, u = 3*v - 2*u - 2580. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/19747861 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-461*v - 530*v + 37 + 1020*v)*(0 + 0 + 2)*(-4 + 0 + 2) as c*v + f and give f.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 3*z**2 + z. Let n = -18 + 14. Let t be x(n). Calculate the greatest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 - 1394*c - 618. Determine n(0).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 6. Let u = p - 4. What is the remainder when 25 is divided by 10\/u*(-72)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3655 and -8.13?\nAnswer: 3646.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2466 = -2*s - 112. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17760 and 14541.\nAnswer: 2326560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23765 + 452*s - 11883 + 2029*s - 11882.\nAnswer: 2481*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*o**3 - b**2*x - 15*b**2 - 47*b*o**3*x - 3*b*o*x - o**2 wrt o?\nAnswer: 6*b**2 - 282*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(3*z - 2*z + 0*z)*(22 + 3 - 9).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0 + 1 - (221 + -215). Which is smaller: s or 0.24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -402748 plus -4?\nAnswer: -402752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*c - 159 + 124, -5*c - 4*b + 41 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18 and 19\/186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 173\/(-35))\/(115\/(-25) + 4). Which is the second biggest value? (a) x (b) 5 (c) -0.0681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -8550063.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:28 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7159 - 3207 = 13*g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/1 - (439 - 379).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6066607 months to centuries.\nAnswer: 0.00217221725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 2*m + 27. Let o = -15 + 21. Let r be f(o). Let n = 62 + r. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -15, -16, -13, -6?\n\"Answer: 2*f**2 - 11*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3047 = 5*t - 347. What is the common denominator of (-6)\/5 - 668\/t and 82\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/(r\/((r*r**5)\/r)))*r)\/r*(((r*r**20\/r*r)\/r*r)\/r)\/r*r\/(r**(1\/23)\/r)*r\/(r*r**22))**(-20) assuming r is positive.\nAnswer: r**(3240\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112832295*i**2*p**3 - i**2*p + 3541*i*p**2 + 354*p**2 wrt p.\nAnswer: 676993770*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48465 and 30375.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46444*g**3*i**3 - g**3*i**2 + 3*g**2*i**2 - 2*g**2 - 2*g*i**2 wrt i.\nAnswer: 278664*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 900, 1826, 2828, 3942, 5204, 6650, 8316, 10238?\n\"Answer: 6*g**3 + 2*g**2 + 878*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 27*t\/4 - 7.\nAnswer: (t - 28)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -12528 and -12529 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97, -213, -341, -487, -657, -857, -1093?\n\"Answer: -h**3 - 109*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 34*v + 126. Let u be r(17). What is the highest common divisor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 1 - 1 - 3*h + 0*h + h + (0 - 2*h + 0)*(-5 + 4 + 2) - 1 + 5*h + h - h.\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*y**3 + 2*o**3*y + 27*o**2*y**3 + o*y**3 - 1 wrt o.\nAnswer: 6*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1152*j**2 + 1152*j**2 + 4*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0821971979 rounded to 4 dps?\nAnswer: 0.0822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159064483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/9 + 93568*m**2\/3 - 1094340138*m - 19699245316\/9 = 0.\nAnswer: -2, 70177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k\/((k\/(k*k**(-16)))\/k)*k)\/k)\/k*k)\/k)\/k)\/k**20)**(-50) assuming k is positive.\nAnswer: k**1800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84*-9*(-4)\/108. Sort 4, 3, c.\nAnswer: 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11923632?\nAnswer: 2, 3, 7, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18047728 + 6*d + 18047728.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -20\/30231?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-26))\/(3*7\/(-2)). Let b = -97\/273 - x. Put b, -0.5, 2, 0.5 in descending order.\nAnswer: 2, 0.5, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*v - 2*v - 159 = 0, 8 = -2*v. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-330)\/(-360)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 2.1.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r - 1\/8*r**4 + 1\/120*r**6 - 7*r**2 + 0 + 1\/3*r**3 + 1\/15*r**5. Suppose 4*g - 12 = -32. Calculate j(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 58145091 and -0.071.\nAnswer: 58145090.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(68)\/sqrt(4) + -2)*-1.\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*w - 4*x + 675, -w = 3*x - 320. Let h = -10 + w. Suppose 6*i = i + h. What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0, -5\/821, 6\/11, -10, 0.1?\nAnswer: -5\/821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {n: 3, o: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.015 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1817943 and -1817950 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 607*g**3 - 8*g**2 + 240*g - 5. Let t(l) = 608*l**3 - 10*l**2 + 240*l - 6. Let r(w) = 6*m(w) - 5*t(w). Find the third derivative of r(u) wrt u.\nAnswer: 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/8, -12259, -16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*x**3 + 194*x**3 + 15*x**3)*(4 + x - 4).\nAnswer: 110*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/(-3)*-296. Suppose 5*l + 3 = b. Let h = 51 - l. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 34110?\nAnswer: 4775400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 374, 387, 416, 467?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 652132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1332930 is divided by 190406.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 6. Let y be n(7). Let o be (-268)\/(-7) + y\/28. Let i(m) = 27*m - 112. Let q be i(14). What is the highest common factor of q and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/413 (b) 1\/3 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-68)\/(-5) - (-2 - -4))*735\/196\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10780 and 119889.\nAnswer: 16784460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5 * -52.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 26032*c. Let o(i) = -197*i**2 - 1. Determine r(o(z)).\nAnswer: -5128304*z**2 - 26032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 154?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/28 and (5 - (-5)\/(-140)*-130) + -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, p: 2}. What is prob of sequence ep?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -8)\/(0 + 1). Suppose r = 8*v - 7*v - 265. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h - 6. Let y(x) = 7*x - 3. Let p = -24 - -11. Let f(r) = p*y(r) + 6*u(r). What is the units digit of f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1657724 + 106?\nAnswer: 1660032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = 5*m. Let g(k) = k**2 - 4*k - 1. Let p(t) = -5*t + 10. What is the least common multiple of g(m) and p(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 84*q - 975. Suppose r + 3*r = 16. Suppose -3 = r*a - 27. Calculate the remainder when c(12) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15052592.\nAnswer: 2, 940787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 7) to base 5.\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, 0.16, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1225575*o - 612778*o - 612795*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5075\/4 - 1272. Which is the second biggest value? (a) -4 (b) 15\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15267777 to the nearest integer?\nAnswer: 3907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -3*y + 4223*m - 4221*m, -31*y = -4*m + 705 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -11059.\nAnswer: 8\/11059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -226, -87, 146, 473?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (1*sqrt(176) + sqrt(176)))*-1 + (sqrt(176) - -2*(2*sqrt(176) - sqrt(176))))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 593.0438mm?\nAnswer: 593043.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-87 + 78)\/(0 + -1). Find the third derivative of 42*u**6 - 2*u**2 - 9*u**3 + 77*u + 64*u**6 + h*u**3 + 0*u**2 wrt u.\nAnswer: 12720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**5\/120 + v**4\/12 - 5*v**3\/3 - 3. Let u(o) be the third derivative of a(o). Let z be u(-1). Solve -3 + z = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93272088 less than -0.6?\nAnswer: -93272088.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**5 + o**5 - 3*o**5)*(-1206 - 33 - 3087 + (-1 - 3 + 5)*(1 + 0 + 1)).\nAnswer: 4324*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-4 + -2.\nAnswer: -16*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96288299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 30*k**2 - 53*k + 87. What is p(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 5, 412, -688, 3 in increasing order.\nAnswer: -688, -3, 3, 5, 7, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*t + 36*t - 12*t - 60*t.\nAnswer: -119*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*f = -0*w + 345, 4*w = -3*f + 275. Let p be (11\/(-11))\/((-2)\/w). What is the first derivative of 2*t**2 - 2 + 6*t**2 + 3*t**2 - p*t**2 wrt t?\nAnswer: -46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/180 - n**4\/12 - n**3\/3 + n. Let f(x) be the second derivative of t(x). Find the first derivative of f(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -151*q - 158*q + 2 + 304*q - 11 + 0. Calculate j(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) -3\/5 (b) 7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6194 = 20*h - 3206. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/(798\/(-72)) + 2\/(-7). Let b(s) = -2*s**3 - 3*s**2. Let u be b(w). Suppose -c = -5*g + 1897, -u*c - c - 10 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5*l**4\/12 - l**3 - 8*l + 2. Let o(f) be the first derivative of r(f). What is the second derivative of o(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3074\/13*k**4 - 4288\/13*k + 10\/13*k**5 + 1224\/13 + 1850\/13*k**2 + 4278\/13*k**3 = 0. Calculate k.\nAnswer: -1, 2\/5, 1, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3 + 28979*i**2 - 761*i - 60 wrt i?\nAnswer: 12*i + 57958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**2 - 7808*d - 2 + 15709*d - 7840*d + (2 + 2*d**2 - 2)*(-4 + 3 + 0).\nAnswer: -11*d**2 + 61*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + j + 32, 4*j - 42 = 2*k - 116. Suppose -31 = -s - 2*d, -85 = -4*s - 5*d + k. Calculate the remainder when 53 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 1. Suppose 55*z - 226*z - 342 = 0. Put q, -0.11, z in descending order.\nAnswer: -0.11, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(-6\/13) assuming p is positive.\nAnswer: p**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, -62\/1303, 2\/3, 4 in descending order.\nAnswer: 4, 2\/3, 0.4, -62\/1303, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.322 and -0.5.\nAnswer: -3.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 737*a**4 - 7116*a**2.\nAnswer: 17688*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 19*u - 4. Suppose -5*r + 108 - 163 = -3*q, 39 = 2*q - 3*r. What is the lowest common multiple of y(-7) and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122667 and 767658?\nAnswer: 23797398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 114955 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -17. Is (8\/d)\/((-4)\/(-282)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3404971000 to the nearest one million.\nAnswer: -3405000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 - 51*g**3 - g**2 + 3*g - 60 wrt g.\nAnswer: 36*g**2 - 306*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/724 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -3*g**7\/70 + 3*g**5\/20 + 6*g**2. What is the third derivative of h(t) wrt t?\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idifrff. Give prob of picking 1 r, 1 d, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48988.937 + -126.\nAnswer: 48862.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 2*a + 84.\nAnswer: -2*(a - 7)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 225*m**2 - 1.\nAnswer: -225*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 738\/12*-2*(-2 + -5). Let d = -22 + p. List the prime factors of d.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7697, 59, 234 in descending order.\nAnswer: 234, 59, -7697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -39 + -10 + 63?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -6863962 and 674.\nAnswer: -6863288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(2\/17)*l**(-13\/2)*l assuming l is positive.\nAnswer: l**(-123\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 6. Let n be y(-6). Suppose 3*k - 191 - 445 = n. Let j = 41 + k. What is the greatest common factor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:50 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(200)*2 + -2)*4)**2.\nAnswer: -1760*sqrt(2) + 12921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from {b: 2, l: 4, s: 4, u: 9, j: 1}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let m(x) = x**3 + 8*x**2 - 10*x - 10. Let v be m(-9). Sort s, v, 4 in descending order.\nAnswer: 4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (9 - 15 - 19) + 7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 16. Suppose 0 = 3*f - 6. Let s be 1 + -2*(-1)\/1. Suppose 0 = -f*z + 5*m + 19, 23 = 3*z - s*m + m. Determine i(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-1))\/((-6)\/(-48)). Let f be (-6)\/4*q\/(-6). Suppose -4*p + 14 = -42. What is the highest common factor of p and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/(s*(s\/s**(-2\/15))\/s*s)*s**(2\/7)\/s**1)\/(s\/(s\/s**2)*s*s**(3\/8))**(-16) assuming s is positive.\nAnswer: s**(5413\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**5 + 9*c**2 - 4*c**2 + 0*c**5 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**1)\/u)**(1\/11)*u**8*u**(4\/7))\/((u\/u**(5\/3))\/(u\/u**(-15)))**(19\/4) assuming u is positive.\nAnswer: u**(40493\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*o + 69. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(0 + sqrt(500) - sqrt(500)) + -3 + 0 + sqrt(80)\/sqrt(4))**2.\nAnswer: -12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 39. Let a(v) = -3*v**3 - 5 - 26*v + 24*v - g*v**2 + 4*v**3. Calculate a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 771 or 772?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*((q\/q**(15\/7))\/q*q*q)\/q)\/q)\/q*q**(2\/5)\/q*q*q)**(-1\/51))**(-11\/6) assuming q is positive.\nAnswer: q**(-143\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 2*h + h)*(-2*h - h + 4*h) - 11*h**2 + h + 12*h**2 + 22*h**2 as t*h**2 + i*h + w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 51, 2\/7?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125064 - -0.4?\nAnswer: 125064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - 4543488\/(-51620))\/(1 + 2\/(-10)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let l(b) be the first derivative of -2*b**3\/3 - 3. Let i(u) = -u**2 - 45 + 45 - 6*u**2. Let w(z) = -6*i(z) + 22*l(z). Give y(w(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -12\/7, 14, 2\/613?\nAnswer: 2\/613","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 10*o - 16. Let y be n(7). Suppose -2*d = u + 3*u - 32, -2*u + 4 = -y*d. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5\/o**(-8)*o**(-1\/22)\/(((o**(-9)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(549\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/15 - 53198*o**3\/15 - 35451912*o**2\/5 - 4578085728*o - 4889130208128\/5.\nAnswer: 2*(o - 28507)*(o + 636)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from devwdlwwilelwwll?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Let z be w(-5). Suppose 4*m - 760 = 4*j - j, -2*m - z*j = -380. Suppose 3*r - 80 = m. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3\/4*x**4 + 3\/2*x**2 - 3\/4*x - 3\/4 + 3\/2*x**3 - 3\/4*x**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1419912 divided by 473304\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847 (base 11) in base 16?\nAnswer: -e61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-8\/5))\/r*(r\/r**19)\/r assuming r is positive.\nAnswer: r**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 11. Let p be u(2). Let j = 125 + -78. What is the third derivative of -j*m**2 - 2*m**4 - p + 3 + 45*m**2 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c + 46*c + 5*f = -83, -f = -2*c + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 8*i + 7. What is y(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 45 = n, 1445*n - 1448*n - 115 = 4*u for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20060921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let f(v) = 287*v. Let i(y) = 12*y. Let u(x) = 4*f(x) - 36*i(x). Give q(u(c)).\nAnswer: 1025312*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/4 of a century?\nAnswer: 21300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 535 + 151*k**3 + 58*k**3 + 173 + 179.\nAnswer: 209*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2 - 50*s - 40. Let l be i(7). Solve -4*t - 5*w - 21 = 0, -l*t - 2*w = -0*w + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.55. Let x = -0.05 - g. Sort x, 0.1, 4 in increasing order.\nAnswer: 0.1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**2 + 1002101730*y + 83683989772416075 = 0.\nAnswer: -167016955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-555)\/(-259)*(-168)\/20.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 104, -37, -320, -793, -1504?\nAnswer: -2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 803 - 581. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + -1*sqrt(76)\/sqrt(4) + ((-4*sqrt(38)\/sqrt(2))**2 - sqrt(19)).\nAnswer: -2*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/7 and -55\/38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1101220, -1101219, -1101218, -1101217, -1101216, -1101215?\nAnswer: -1101214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 10*g**3 + 9*g**3 - g + 9*g + 25 + 2*g**2 - g**4 in the form s*g + h*g**2 + n*g**3 + r*g**4 + v and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 8*k. Let j(h) = -16*h**2 - 15*h. Let t(a) = 9*f(a) + 4*j(a). Let o be t(12). Solve o*y + 2 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 456, 969, 1482, 1995?\n\"Answer: 513*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.841843932 to 2 dps.\nAnswer: 3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -419\/255 + 20\/17. What is the common denominator of y and 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 3*n**2 + 21*n - 37. Let o be s(2). What is the greatest common divisor of o and 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -481*m**2 - 17*m - 15. Determine z(-1).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(1 + 1)\/4. Let l(m) = m**3 - 3*m**2 - m + 2. Let x be l(2). Let q be (x\/(-14))\/((-18)\/14). Which is the second smallest value? (a) 0.2 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 1 - 2 + n**3 - n - 15*n**2. Calculate i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200696846543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 6)*(-7 + 40\/5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 + 5*r - 3. Let y be c(3). Suppose 27*o - 2065 = 3*o - 2113. What is the units digit of (o\/(-3))\/(y\/(-1089))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k = -118*k - 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(5\/(-32112)) - 0. Let d(m) = 9*m**2 + 3*m - 1. Let b be d(-1). Suppose 0 = -b*r - 102612 + h. Round r to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -21. Suppose z = 13*q - 42 + 3. Solve -3*l + 3 = q*f, 0 = -5*f + 2*l - 0 - 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*sqrt(88)\/(sqrt(24)\/sqrt(3)).\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9157178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 - 28 = 3*i. Let l be 28\/(-35)*i\/(-1). Suppose -d = -5*f + 3*d + l, 0 = -2*f - 4*d + 28. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:23 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m)\/(m*m*m**(-1\/4)*m)*m**11*m**(1\/2) assuming m is positive.\nAnswer: m**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1813.6041 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1461*m**2 - 17*m + 215. Let a(h) = 4*h**2 - 5*h. Let w(v) = -4*a(v) + u(v). Find the second derivative of w(d) wrt d.\nAnswer: 2890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 5*f + 2. Let w be n(0). Let a(u) = -347*u + 695*u - 348*u + w*u**2. Let o(d) = 29*d**2. What is a(o(h))?\nAnswer: 1682*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49, 32, 19, 10, 5?\n\"Answer: 2*y**2 - 23*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 86 = 3*m, -18*m + 5*p - 47 = -17*m. Sort 4, m, -0.048 in descending order.\nAnswer: 4, -0.048, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 906, -5, 73206?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10387?\nAnswer: 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5))**47*(w**(-3\/4))**(-40))**(-2\/17) assuming w is positive.\nAnswer: w**(-206\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -587*o + 588*o + 3*p + 2*p - 381, -o - 6*p + 457 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 5*d + 5. Let g be 0\/(-4 + (5 - 3)). Let c be k(g). Solve 0 = 5*n - 0*i + 2*i + 7, 0 = c*n + 3*i + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eql when three letters picked without replacement from xlqeeooqxlxeolbxxole?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/13 + 20*j**2\/13 - 2*j\/13 - 20\/13.\nAnswer: 2*(j - 1)*(j + 1)*(j + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-8*(-575)\/30. Let j = -249 + y. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 9*t - 21. Suppose -3*s + 90 = t*s. Let q(y) = -y**2 + 4*y - s*y + 2 + 2*y + 4. What is q(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/27 + (1 + -4 - 8\/(-6)). Is -5\/1526 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + l + 5 = 0, 0 = -q + 43*l - 47*l. Solve -3*h = -5*y - 26, -2*y + 5 = -q*h + 21 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -2\/7 (c) -5 (d) 0.3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*d + 401*d = 35 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8*m + 3 + 10*m + 0.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 627044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69841 by -2.\nAnswer: -69841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 423, 949, 1675, 2595?\nAnswer: 3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k**2 + 2*k. Let t(q) = q + 8. Let f(h) = 12. Let z(c) = 2*f(c) - 3*t(c). What is j(z(d))?\nAnswer: 144*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 1, l: 2, p: 1, q: 1}. What is prob of picking 1 q and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1114)\/42889 - (-2235)\/77.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/75095612 and 27\/788?\nAnswer: 75095612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 321, 323, 325?\n\"Answer: 2*z + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*g = 3*g + 225, 3*s - 725 = -g. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 338817 + -20?\nAnswer: 338787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005049 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*q**2 - 294392*q + 19626.\nAnswer: 2*(q - 9813)*(15*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**7))\/(h*h*h\/h**(-1\/6)*h*h))\/(h**5*h*h**(-2\/9)))\/(((h\/(h\/(h*h\/((h**(-2\/3)*h)\/h))))\/h)**(-2\/21)\/(h**0\/h)**(-21)) assuming h is positive.\nAnswer: h**(241\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 less than 0.1?\nAnswer: 66.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-12)\/100))\/(2990\/8970)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 11*a + 25. Let u(r) = r**2 - 5*r - 13. Let x(w) = 6*p(w) + 13*u(w). Let o(z) = z**3 + 6*z**2 + 3*z - 10. Let j be o(-5). Calculate x(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - 9) + 4 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 2*a + 44. Suppose -5*f + 5 = -4*g + 3, -3*f = -2*g. Are a and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85\/4 + -21. What is the closest to c in 5, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h - 70*h = -171810. Calculate the remainder when h is divided by 307.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**2 - 21*x - 492 wrt x?\nAnswer: -4*x - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 + (3 - 3). Solve -4*z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-3 + -22 - 8). Suppose -18*j - t*j + 1288 = 0. Calculate the remainder when 135 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -111221320323?\nAnswer: -111221320231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.3061 rounded to one decimal place?\nAnswer: -33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/173 - -4495\/519. Find the common denominator of 107\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.034815km?\nAnswer: 1034.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/45 - 84\/(-135))\/(-2). What is the second smallest value in -2, s, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + c + 9 = -6*l, -4*l - 2*c - 10 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 592 - (-54)\/((-81)\/(-9)). Is 599 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/12 - p**2. Let t(r) = -r + 3. Let w be t(0). Let x(b) = w*b**2 - 3 + 3 - 2*b**2. Determine x(c(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3086.999928 - -3087. What is o rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2482288 and 5425360.\nAnswer: 906035120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = 25*d + 139 + 211. Sort -4, d, 1\/126 in decreasing order.\nAnswer: 1\/126, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 1219 = -20861. Suppose 216*b - 219*b = -i. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o + 12*o**4 + o**4 - 6*o**4 wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -123*o - 149. Let p be l(-13). Let c = -400 + p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((8 - (-8 - -3)) + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334539.\nAnswer: 3, 37171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 14. Let b(h) = -26*h + 2. Let t be b(l). Let c = t - -105. Solve 0 = -c*n - 2*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 18 = 10*s. What is the tens digit of (-112)\/s + (-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1996 - 1907. Which is the nearest to 0? (a) -0.4 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m - 66*m + 248*m - 131*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i - 3*i)*(11*i + 6*i - 21*i + 11) + (-6*i + i + 3*i)*(4*i + 3*i - 5*i).\nAnswer: -12*i**2 + 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 - -3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 2*g**2 + g + 2. Let u be p(-2). Let m = u - 0. Let s = -18 + 32. What is the remainder when s is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 - 12*c**2 + 12*c**2 + 36*c**3 - 14*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 660*x**3 - 2004*x**2 - 2012*x - 672.\nAnswer: 4*(x - 168)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10073*x - 611 = -10120*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47148632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 7*a - 6. Let k be (39\/(-26))\/((-3)\/14). Let z(m) = -m**3 + 6*m - 5. Determine k*z(r) - 6*y(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 156*f**4 + 320*f**3 + 172*f**2 + 8*f.\nAnswer: 4*f*(f + 1)**2*(39*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -4 (b) -0.4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 1\/15 (c) 7265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 64*a**2 + 50*a - 85. Let p be d(32). Calculate the highest common divisor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 99*i**2 - 395*i - 7. Give u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 5658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -178 - -183. Put n, 2, -44 in descending order.\nAnswer: n, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 22558.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4760)\/714*72\/(-50))\/((-6)\/15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 952115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d\/(d*d**(-6\/13)*d)))\/d*(d*(d*d*(d\/((d**(3\/4)*d)\/d))\/d)\/d)\/d*(d\/(d\/((d\/(d*d*d*d**(-1\/6)))\/d)*d))**(-45))**35 assuming d is positive.\nAnswer: d**(311745\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -8, 6?\n\"Answer: 14*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.49 + -0.01. Let w = -8 - -6. Let x = w - 2. Which is the closest to -2? (a) x (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*2 + (-3959)\/(-296) + 3\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1*(12 - 20)\/80?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.1? (a) -0.1 (b) -0.05 (c) 70 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12\/k)\/(k*k*k**(-1\/5)*k) assuming k is positive.\nAnswer: k**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m. Suppose -6 = 5*q - 4*f, 16 - 6 = -3*q + 4*f. Suppose m = 2*u + q*u - 708. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58200649, 116401300, 174601951, 232802602, 291003253?\n\"Answer: 58200651*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 450\/18) + -107?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97128 = 66*d + 76*d. What is the remainder when d is divided by 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Let r = t - -10. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + q + 1. Let m be i(3). Let z = m + 29. Suppose -z*g - g = -14. Solve 7 + 1 = g*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*l + 7 + 5, 2*l = 2*q - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/15)*r\/r**(1\/18))\/((r**(-1\/12)*r*r)\/(r\/(r*r**(1\/5)*r))) assuming r is positive.\nAnswer: r**(-403\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*b**5\/11 - 870*b**4\/11 + 1466*b**3\/11 + 1038*b**2\/11 - 1504*b\/11 - 168\/11 = 0. Calculate b.\nAnswer: -1, -2\/19, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c + 4. Let k(i) be the third derivative of 1\/6*i**4 + 4*i**2 + 0*i + 0 + 2\/3*i**3. Let v(f) = -4*k(f) + 3*w(f). Calculate v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/((m\/(m*m\/m**(-12\/7)))\/m)*m)\/m)\/(m*m**(25\/3))*(m**(-24))**(-2\/73) assuming m is positive.\nAnswer: m**(-3007\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - (5 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -5. Suppose v*m = 5*m. Solve m*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 9 = 7*s - 5*f, f = -5*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) -9\/2 (c) -2\/3 (d) 3\/2 (e) 2\/81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12238*r. Let v(b) = -185*b**2. Give v(q(k)).\nAnswer: -27707199140*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u**(-1\/14)*u*u)\/u)))\/u*u**22\/u)**(9\/7) assuming u is positive.\nAnswer: u**(2637\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137\/2 - 70. Let p = -8.1 - -3.2. Let q = p - -5. Sort q, f, -2.\nAnswer: -2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 31 + 7 = 0. Solve 0*d - 20 = 4*c + 3*d, 5*c = -a*d - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089044597 to five dps.\nAnswer: 0.08904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120356236 and 2860?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75372.\nAnswer: 2, 3, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20825 - 20824. Which is the closest to -4.297? (a) l (b) -2\/11 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let a(p) be the third derivative of p**6\/120 + p**5\/60 + p**4\/24 + 19*p**3\/6 - 831*p**2. What is the remainder when a(m) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26154 and 1037442.\nAnswer: 3112326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12816 divided by 801\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3272 - 3222 = -10*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -119, -96, -47, 34, 153, 316?\n\"Answer: g**3 + 7*g**2 - 5*g - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - x = 13, -r - 4*r + 7 = -4*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y**2 - 70*y + 199. Let m be f(3). Is m < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5\/8 + 17727*w**4\/8 + 28271193*w**3\/8 + 6164094405*w**2\/8 + 47811577716*w + 298132779168 = 0?\nAnswer: -2832, -119, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-80))\/(((-297)\/(-3744))\/(9\/(-12)))?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91601287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4) - sqrt(14))*6 + sqrt(14) - sqrt(14))\/((sqrt(105)\/sqrt(5))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11263237 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6527710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -334, -3443, -11866, -28255, -55262?\n\"Answer: -442*v**3 - 5*v**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 13*n**2 + 24*n - 32. Does 9 divide q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -68, 109 in decreasing order.\nAnswer: 109, 93, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6466 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*u + 3*u - 26, 0 = -p - 2*u - 6. Let i(r) = -5*r**p - 5*r**2 + 6*r + 11*r**2 + 8. What is the units digit of i(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 155549.\nAnswer: 155549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -114*d - 478. Let f be a(-8). What is the greatest common factor of f and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1822 or 1789?\nAnswer: 1789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -226, -418?\n\"Answer: -192*j + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -108, -207, -342, -519, -744, -1023, -1362?\n\"Answer: -p**3 - 9*p**2 - 35*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 86 = 95. Let b(f) = 2*f - 12. Determine b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88.1 + -88. Is x at least 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 11. Calculate the remainder when (1\/m)\/(3\/2844*-3) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77618840, 77618855, 77618868, 77618879?\n\"Answer: -w**2 + 18*w + 77618823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(34\/6 + -5) + 8 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -37869 - 27641. What are the prime factors of c?\nAnswer: 2, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:31 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-266)\/380) - ((-13113)\/(-217) + 32).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11976, 14988, 18000, 21012, 24024?\n\"Answer: 3012*x + 8964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 12) to base 3\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53872*j + 1494 = -54038*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48 (b) -1\/2 (c) 2\/5 (d) 2\/113 (e) 2\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, 312, 1325, 2908, 5061?\nAnswer: 7784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -48 - (-40 - -9 - -23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1363 + 8119\/6. Let n = 1088\/189 - 43\/14. What is the common denominator of s and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 49, 66, 77, 82, 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 112?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 4 = 51. Suppose x + 5*n - 14 = 0, 2*x - v*x + 5*n = -42. Solve -4*i - 2 = x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22139.2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (534 - 2428 + 785)*(13*i + 6 - 6) to r*i + u and give r.\nAnswer: -14417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/596331 and 4\/18627.\nAnswer: 3702619179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)*-1 - -1. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-63)*(306\/(-60))\/17.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*z**3 - 11*z**2 - 21*z + 31134.\nAnswer: 78*z**2 - 22*z - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -5, -1, 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Let v(z) be the first derivative of -2*z**3\/3 - 12*z - 1380. What is v(i(r))?\nAnswer: -2*r**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*g + g + g to the form i*g + w and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2713711482?\nAnswer: 2, 3, 29, 5198681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1068.2 from 0.05.\nAnswer: -1068.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17432426.\nAnswer: 2, 11, 792383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 2. Suppose 4 = 6*q - 8. Let y be i(q). Suppose -y*l = l - 210. Calculate the smallest common multiple of l and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -h, -5*h - 12 = -2*h - 4*q. Suppose h = -t - g + 8, -5*t + 5 = -2*g - 0. Does 17 divide 4\/(-2)*(-17 + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 94760620643 and 85.\nAnswer: 94760620728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-33)\/192*(-14)\/(-2387).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5)\/p*p*p*p\/p**(-2\/3)*p**(-4)*p\/p**(6\/7))**(-5\/7) assuming p is positive.\nAnswer: p**(-22\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 - 61*x - 187. Determine j(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -297, -565, -815, -1035, -1213, -1337?\n\"Answer: 2*i**3 - 3*i**2 - 273*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -241*u. Let h(y) = -5*y. Calculate h(b(o)).\nAnswer: 1205*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (150\/135)\/((-1870)\/(-396))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -260 - -47067?\nAnswer: 46607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2521565095?\nAnswer: 5, 7, 23, 3132379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -256*q**4 - 1821632*q**3 - 61285680*q**2 - 688734900*q - 2581389000 = 0.\nAnswer: -7082, -45\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950063678 to the power of 1\/2, to the nearest integer?\nAnswer: 62850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*y = -6, 0 + 6 = 3*n + 2*y. Solve -3*z - 4*q + 10 = 0, 7*z - n*q - 6 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 114980435, 229960867, 344941299, 459921731, 574902163, 689882595?\n\"Answer: 114980432*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + (sqrt(931) - (2*sqrt(931) - sqrt(931))) - 1*(-2 + sqrt(931))) + 0 + 3*sqrt(931)*2 + -2)**2.\nAnswer: -280*sqrt(19) + 23291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14272 by -3.\nAnswer: 14272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 440\/231*(6 + 3). Let d = -586\/35 + j. Factor d*k**2 - 6\/5*k**3 - 2\/5*k**4 + 6\/5*k + 0.\nAnswer: -2*k*(k - 1)*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-11)\/v*v*v*v*(v*v**(2\/39)*v)\/v*v**(-2\/15)*v\/(v**(-3\/10)\/v*v*v)*v assuming v is positive.\nAnswer: v**(-451\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d + 2*d = 450. What is the least common multiple of d and 2064?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1403191537808 + 0.54\nAnswer: -1403191537807.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 3, c: 6, l: 4, s: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*p - 5, 2*y - 2*p = -3*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 143\/22)\/((108\/152)\/(-9))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t*x**3 - 3196*t - 22105*x**5 - 15*x wrt x.\nAnswer: 12*t*x - 442100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 and 15\/47.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1237.1 to the nearest 10.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**6\/480 + h**5\/24 - 3*h**4\/32 + 197*h**2. Suppose i(z) = 0. What is z?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/3, -0.4, -7, -2, -0.8, -595?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 + 3*y - 3. Let i(v) = 6 + 3 + 4*v**2 - 2*v + 0*v**2 - 7. Determine -3*i(f) - 2*j(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 - 7*x**4\/8 + 56*x**3\/3 + 2*x**2 - 63. Let f be h(10). Solve -f*m - m = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.436, 14\/3, -2\/25, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-12) + (-3)\/(-12). Let o(s) = -s**2 - 7*s + 1. What is o(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-15)\/(-520)*2). What are the prime factors of (n\/16 - (-6)\/24) + 402?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -2*w + 1\/14*w**7 + 0*w**2 + 0*w**6 + 0*w**4 + 0 + 1\/2*w**3 + 0*w**5. What is the second derivative of a(v) wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*c + 110 + 100 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3916524\nAnswer: -1\/979131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 216 = 0. Suppose 0 = -9*n + 281 - 110. Calculate the remainder when j is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1805, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2093*28.91\nAnswer: -60508.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:05 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 36 - 556. Let f = z - 145. Suppose -f*c + 5112 + 147 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 + 0) - -3. Suppose -l*s = -s. Let i = 0.05 - -0.05. Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {b: 2, t: 2, z: 2, n: 5, v: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + 5\/(-3) + -3. Let h be 302400120\/(-54) + 2 - i\/18. Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (0 - -7) - (2 + -1). What is the hundreds digit of 1027 - (d\/8)\/((-36)\/(-720))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s + 34. Let d(o) = -59*o - 6192. Let k be d(-105). Give j(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -486 - -707. What is the highest common divisor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380520*n**2 - 208364*n?\nAnswer: 761040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 10:46 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032003 (base 4) to base 13.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/13067 and -23\/787305.\nAnswer: 140927595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 3*a - a)*(-4 + 4 - 2*a)*(-4 + 3 - 8) in the form y + f*a**2 + x*a and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(8) + sqrt(63) + 4 + 4 + 0 + 5)**2.\nAnswer: 156*sqrt(7) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784*n + 1193*n - 9473*n + 161024 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -22, 1\/2, -5, -2\/5, -3, -4\/17?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 84\/56*(-1 + 2\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 27*z - 109, -2*y - 33*z + 10 = -30*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:01 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1162994063*q**3 + 988271706*q**2?\nAnswer: 6977964378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -6\/7, -0.03234?\nAnswer: -0.03234","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*k + 8. Sort -12, k, 1, 3 in descending order.\nAnswer: 3, k, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -136.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-40) + 14374\/20. Let j = 678 - c. What is the common denominator of j and 113\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 75 - 318 = -2*l, -5*l + 580 = 3*p. Suppose y = -y + 4*d + 122, 2*y - d = l. Let q = 84 - y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k + 3*h + 21, -4*k + 44 = h. Is 2\/k - (-10495)\/55 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28862857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-36))\/(143\/(-858)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -29 + (14 - 2) + -47 + 44\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 27724\/(-3770)*6\/4) + -11?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - (6 + -5 + 0))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let z(n) = 4*n + 86. Let l(b) = -3*b - 85. Let t(g) = -8*l(g) - 7*z(g). What is c(t(q))?\nAnswer: 32*q**2 - 1248*q + 12168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 14 - 0. Let p = 0 + -2. Let h be g*4 + p + 0. Solve 2*z = 2*k + 4, -2*k - 3*z - h = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4547702*w**2 - 3475283*w wrt w?\nAnswer: -9095404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3687480?\nAnswer: 18437400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -70486387130.\nAnswer: -70486387129.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a year in months?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13824361753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-14))\/((-39)\/273*-35).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 32*k**2 - 16. Let v(x) = x**3 + 17*x**2 + 8. Determine -3*g(o) - 5*v(o).\nAnswer: o**3 + 11*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 37.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 2485998\nAnswer: 74579.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1310780, -5243014, -11796736, -20971946, -32768644, -47186830?\n\"Answer: -1310744*t**2 - 2*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -964?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5\/8, 2 in decreasing order.\nAnswer: 2, 5\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2405778 is divided by 42205?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*o - 4*d - 32, -303*d - 7 = 3*o - 302*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**7\/420 - m**6\/180 - m**5\/60 + m**4\/4 - 4*m**2. Let a(h) be the second derivative of r(h). Solve a(u) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -36. Let o = 8 - j. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(((-8)\/(-4))\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2193 and 1419?\nAnswer: 24123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2)*2*-1. Let n = s + 0. Solve -n*j = -0*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 14 + 1)*(u - u - u) + (1 + 5 - 2)*(4*u - 6*u + 0*u) to the form l + z*u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 14*i + 2. Let y(c) = -13*c**2 + c. Let m be y(-1). Let u be b(m). Put 0, -5, u in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 + 253 = 356*z - 344*z, 0*k - 4*k - 26 = -2*k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 453 = 492. Let o = n - 87. Suppose -o = 41*z - 45*z. Solve -4*d = -2*l + z - 0, 5*d + 16 = 3*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 113 in 5.42, -1, -0.4, 0.4?\nAnswer: 5.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 28 = 3*b. Let l(i) = -i**2 - i. Let v(x) be the second derivative of 5*x**4\/12 + x**3\/6 - 5*x**2 + 8*x. Let z(y) = 6*l(y) + v(y). Calculate z(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 14 + 2. Suppose -3*u - u - 5*a + 70 = 0, 5*a - 55 = -l*u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6059.\nAnswer: 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856206051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*h - 29, -h + 28*s = 33*s - 3 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f**2 + 89*f + 141. Let m(j) = 4*j**2 + 18*j + 28. Let w(z) = -2*k(z) + 11*m(z). What are the prime factors of w(-13)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 617 + -612. Let w(z) be the first derivative of -3\/10*z**6 - 33\/10*z**4 - 39\/25*z**y - 18\/5*z**3 - 3\/5*z - 21\/10*z**2 + 8. Solve w(o) = 0 for o.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-2) + 2\/4. Let m = 19 - v. Suppose -y - 1 + 19 = 2*o, -3*o - m = -y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17566 is divided by 4374?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7267.883mm to nanometers.\nAnswer: 7267883000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 249 = 6*d + 438 - 327, -2*l = -d + 18 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6908, 13818, 20728, 27638?\nAnswer: 34548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004683058 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y - 14*y + 30*y + 16*y**2 + 7*y - 12 - 10*y**3.\nAnswer: -2*(y - 2)*(y + 1)*(5*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:16 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 440035456?\nAnswer: -440035455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (1 - 0) + (-49)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 6. Suppose o + k = 0, 4*o = 5*m - 0*o - 253. Suppose -w - m = -5*y + 2*y, -3*w + 45 = 3*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 2. Let h be b(-4). Suppose p + 10 = 3*p - w, 0 = -h*p - 3*w - 6. Let m(i) = -i**2 - 11*i + 7. Let y be m(-9). Solve 0 = -2*q - p*q - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 + 1.4?\nAnswer: 307.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 - 4152*f**3 + 1230724*f**2 - 79552320*f + 1468422400.\nAnswer: 4*(f - 479)**2*(f - 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x - x + (-4 + 4 + 2)*(3*x - 4*x + 0*x) + 55 + 10*x + x - 48.\nAnswer: 8*x + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 224*o - 1361. Determine l(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2373960691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-7)\/84*(-8)\/(-84)*-6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497166 and 697386.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276 - 356*n**2 - 88*n**2 + 446*n**2 to j*n + c*n**2 + w and give w.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-2 - (7 + -15 - -1*(9 - 4)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8838298 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1) + (-556)\/(-186). Let l = -55\/2232 - a. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 68169*v + 3. Let u(m) = 15*m - 1. Give x(u(w)).\nAnswer: 1022535*w - 68166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316\/18 - (9\/4 + -3)*3264\/5508.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3643 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 93?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f + 20 - 20*f**2 + 2*f**3 + 2*f**2 + 7*f**2 - 9*f**2. List the prime factors of t(10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4*(-52)\/(-260)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*g - 68 = 0, -a + 5*g + 12 = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116195666 times 0.5\nAnswer: 58097833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:07 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkykkkiybs. What is prob of sequence ys?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 11166?\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*330\/(-44). Solve 0*o = d*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-5418)\/4128?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -159. Let o = -42 + q. What is the biggest value in 0.5, 0.3, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5057243 is divided by 250.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -4. Let u be -4 + 12\/i + 4. Which is the second smallest value? (a) u (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15978411 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11787 (base 9) to base 3.\nAnswer: -101212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x - 126. What is the remainder when 1453 is divided by r(-22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 3*m + 41, -34*r - m = -37*r - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110894 + -8d?\nAnswer: 110805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -414750*v**2 + 3150. Let s(h) = -527*h**2 + 4. Determine 2*n(g) - 1575*s(g).\nAnswer: 525*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-63)\/(-2))\/(1 - -9) and 51\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddmddddddmdmdddddm. Give prob of picking 3 d and 1 m.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 4 = -17*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-1)*2\/(8\/156) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n)**(5\/2)\/((n*n**(-1\/9))\/n**(-6)) assuming n is positive.\nAnswer: n**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**8\/6720 + 13*v**5\/60 + 4*v**2. Let l(x) be the third derivative of y(x). Let d(m) = 3*m. Give d(l(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - f - 9)*(-1 + 7 - 63)*(-3*f**3 - f**3 + 2*f**3 + (-2*f**2 - 4*f**2 + 2*f**2)*(3*f - 5*f + f)).\nAnswer: 114*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 188. Let x = 509\/7 + n. Which is the biggest value? (a) -5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - c)*(-5*c**3 + 2*c**3 + 2*c**3) + (-c**3 - c**3 + 0*c**3)*(-2 + c + 2) + (-c**3 + 0*c**3 + 3*c**3)*(0*c - 2*c + 4*c) - c**4 - 2*c**4 + c**4.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-220)\/450*-6 - 3. Sort u, -1\/3, 0.14.\nAnswer: -1\/3, u, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109605 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 17 - 22. Suppose 0 = v*m - 5*g - 3389, 2*m - 14*g = -9*g + 2266. What are the prime factors of m?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0.09104296\nAnswer: 0.0027312888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6369 and 5\/1737?\nAnswer: 19107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/18 and 27\/1496?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a - 0*a - 2*y, -y = 5. Solve -a*u - 37 + 34 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddtddtddttttddt. Give prob of sequence ttt.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/g**(2\/15)))\/g*g)**(-33\/7)\/(g**9)**(-5) assuming g is positive.\nAnswer: g**(1553\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -1\/6*x**3 + 0*x**2 + 6*x - 3. Let b(s) = 6 + 3*s**2 - 3 + 6. Give h(b(k)).\nAnswer: -3*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2. Let w(t) = -t**3 - t**2 + t. Let y be w(-3). Let n = -22 + y. Let k be d(n). Solve 16 = -6*m + 2*m - 4*a, k = 2*m - 2*a + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s - 2*o = -26, 0 = -5*s + 4*o + 38. Suppose 0 = -f + 2*f - s. What is the smallest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 11*r + 82. Let g be c(-16). Suppose 0 = -g*v - v + 4*t + 478, 0 = -v - t + 164. Calculate the least common multiple of v and 4.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 4*u. Suppose -w + 28 = u*t, 3*t - 2*w - 52 = -w. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:40 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 0.16 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 1 (c) -124 (d) 1\/4 (e) -2\/7 (f) 5 (g) -0.34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 1 - (53 - 50).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9500.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 26, 65, 140, 263, 446, 701?\n\"Answer: 2*g**3 + g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60160, 60157, 60154, 60151?\n\"Answer: -3*w + 60163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*q = -6*q + 333, 5*q - 15 = 0. Find the first derivative of 472*s**2 + 2*s + h + 2*s - 4*s - 318*s**2 wrt s.\nAnswer: 308*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 256438*n**2 + 24657475122*n - 517920072894.\nAnswer: 2*(n - 21)*(n + 192339)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:26 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16351, -64766, -145443, -258382, -403583, -581046, -790771?\n\"Answer: -16131*c**2 - 22*c - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 40*j**3 - 18*j**2 - 2*j - 4. Let w(n) = 18*n**3 - 8*n**2 - n - 2. Calculate -3*r(z) + 7*w(z).\nAnswer: 6*z**3 - 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68614 and 17458?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 498797 divided by -13481?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 95.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 77. Is ((-234280)\/(-20))\/(g + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3*t**3)*(2*t - 8*t - t)*(-45 + 181 + 327) to the form r + i*t**2 + f*t**3 + x*t + m*t**4 and give m.\nAnswer: -9723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u**3 - 2*u**2 + u + 1. Determine b(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464521000 rounded to the nearest one million?\nAnswer: -3465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27528 and 8880.\nAnswer: 275280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.687.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 140. Let x be (6 - w)\/(1 + (-5)\/3). Suppose 0 = -x*c + 4*p + 4 - 7, -15 = -4*c - p. Put 2, 5, -37, c in ascending order.\nAnswer: -37, 2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -78 and -1.3.\nAnswer: -79.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 2*h**7\/735 - 491*h**6\/105 + 28*h**5 - 1469*h**4\/21 + 1958*h**3\/21 + 5815*h**2. Factor j(k).\nAnswer: 4*(k - 979)*(k - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 4, -2\/22667, -4 in increasing order.\nAnswer: -38, -4, -2\/22667, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42093 equal to 42088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1 in decreasing order.\nAnswer: 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-1\/22))**44 assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -53*n**6\/720 + n**5\/6 + n**4\/3 - 4*n. Let l(k) be the third derivative of x(k). Let v be l(4). Round v to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 5*i**2 + 5*i + 16. Give n(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069734 is divided by 87?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -376 + 2106. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 3*s - 4*s + 3, -150*s + 147*s - 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 1, e: 4, u: 2}. Give prob of picking 3 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8764*y**2 + 17*y. Let q(i) = 5837*i**2 + 12*i. Give -7*b(u) + 10*q(u).\nAnswer: -2978*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2650248?\nAnswer: 795074.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1302\/3162)\/(4\/(-68)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341*c**2 - 3*c**4 + 9*c - 341*c**2 + 4*c**4 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2164825.\nAnswer: 5, 13, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.041 - 0.041. Which is smaller: b or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 101*l**2 + 10*l - 749. Calculate i(101).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102.92 + -105. Let a = o - 13.92. Which is smaller: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300003689 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-7) + (-4)\/(-14). Suppose 3*x - 153 = -q*x. What is the smallest common multiple of x and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u, -l - 14 = -4*u + 7. Let d be l\/(4\/22)*2. Let h(n) = n**2 + 9*n + 9. List the prime factors of h(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/36 + (-3)\/((-36)\/14). Let l = -0.32 + 0.02. Let o = 4 - 7. Put z, o, l in ascending order.\nAnswer: o, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130*(-37)\/13468*(-8)\/(-2).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 963 + 557. What is the greatest common divisor of v and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 4*x**2 - x + 4. Let a be u(4). Suppose -58 = -3*i - a*c - c, -i + 4*c + 2 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 smaller than 887479\/933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/1 - (1890\/(-32))\/(-15)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34258 - 34257.9. Which is the fourth smallest value? (a) 3 (b) -21 (c) 0.2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3266211 is divided by 1688.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13067538 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 3*v + 4, -i = 5*v + 2. Let y be (i\/(-6))\/(1\/306). Calculate the greatest common factor of y and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948*r - 63 = -951*r. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 385364 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 584 (b) 36208 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + 1.8. What is the closest to -5 in 2, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqh. What is prob of sequence hhqh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/(g**11\/g)*g))*g*g*g*g\/(g\/g**(1\/5))*g**(-11)\/(g**(-11)*g))**(-1\/19) assuming g is positive.\nAnswer: g**(24\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l. Let b be a(1). Suppose -b*u = -6*u + 90. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z - 15. Suppose n = 7*j - 3*j + 10, 0 = 5*n + 4*j + 46. List the prime factors of r(n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 19*s**2 - 3*s + 65. Let d be 4*(-552)\/96 + 42. Give b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 72*a**2 + 335*a - 2. Calculate p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-60)*-3*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/19)*v**11*v**(-7\/2)*v*v**34 assuming v is positive.\nAnswer: v**(1617\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:27 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555073*p - 10160 = 554993*p for p.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 257*y + 8. Let t(l) = 32*l + 1. Let j(d) = -6*q(d) + 51*t(d). Suppose 30*h - 74 + 14 = 0. Let o be j(h). What is o rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**4\/5 + 552*i**3\/5 + 11778*i**2\/5 - 31236*i + 84240 = 0.\nAnswer: -26, 5, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 126*x - 1. Let l be y(18). Calculate the remainder when -16*(l - (6 + -1)) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1854*t**6 + 28*t - 1458*t**6 + 645*t**6 - 26*t + 451*t**2 + 263*t**2 wrt t?\nAnswer: -320040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Differentiate u - u - 29*u**2 + z*u**2 + 39 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -19*w. Let i(x) = -4*x + 1. Let z(n) = -14*n + 20. Let t(d) = -4*i(d) + z(d). Give h(t(a)).\nAnswer: -38*a - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 516 - 516.4. What is the smallest value in 2, y, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521678 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(931) - (sqrt(931) - (sqrt(931) - (sqrt(931) + sqrt(931)*2)))) + sqrt(931))*-5*-6 + 3)**2*5.\nAnswer: -18900*sqrt(19) + 37705545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 + -2 + 7888\/(-406). Which is the second biggest value? (a) -1\/53 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 967 - 255. Suppose -2*o - z = 448. What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36233*k - 8171?\nAnswer: 36233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 1082.\nAnswer: 67084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**3 + 499*l**2 - 40376*l - 278516.\nAnswer: (l - 49)*(l + 98)*(9*l + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/3 + (-2)\/6. Let u(k) be the second derivative of 1\/12*k**4 + 0 - 2*k + 1\/6*k**3 - k**2. Calculate u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 41*m**2 - 11*m + 208. What is g(41)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2172*d**2 - 17*d - 16. What is the hundreds digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 22*a - 4*a - 31 - 4*a in the form g + i*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 876218\/891 less than or equal to 984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 17*o**2 + 19*o**2 + 3*o)*(3874 - 11333 + 5869) in the form b + z*o + v*o**2 and give z.\nAnswer: -11130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, h: 2, x: 1, c: 4, e: 9}. What is prob of sequence hr?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 3*y**2 - 4*y**2 + (-y - 3*y + 2*y)*(-4*y + 10*y + 5*y).\nAnswer: -29*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 9*j - 5*j + 8, 2*j + 4*l = -16. Let x(q) = -118*q**3 + 4*q**2 - 17*q + 7. Is x(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a - 9. Let c be 12\/8*(6 - 0). What is i(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 - g + 4. Let y be o(0). Suppose 4*b = -3*h + 47, 0 = -4*b - y*h + 32 + 20. Let m be 122\/b - (-1)\/(-4). Solve 10 + m = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 2*d**2 - d - 2. Let f be v(3). Let k(t) = 2*t**3 - 3*t**2 - 4*t + 11. What is the tens digit of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 134 - -13 - (-2 + 0 - -1). Which is smaller: n or 149?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/15 + 61*o**2\/5 - 3721*o\/5 - 219. Solve a(u) = 0.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -5, -18\/49?\nAnswer: -18\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 35.56236ug?\nAnswer: 0.00000000003556236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5. Let y(n) = 2*n**2 + 4 + 3*n**2 - 6*n**2. Let f(q) = 7*q**3 - 7*q - 18 + q**2 + 9 - 6*q**3. Let c be f(-3). What is c*w(u) - 7*y(u)?\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -5*w + 5*q, 353 = 2*w + 2*w - 3*q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*d**2 - 27 + 79 - 1665 + 86 - 706 + 58*d wrt d.\nAnswer: -34*d + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12188 times 0.4\nAnswer: -4875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5940\/13, 1032 in ascending order.\nAnswer: 9, 5940\/13, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 32 + 4 = 0. Calculate the smallest common multiple of m and (-24)\/(-60) - 16\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 15*j - 12*j. Calculate the remainder when 84 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 5*t**5\/12 - t**4\/6 + t**3\/3 - 34*t**2. Is j(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 11*c + 4*c - c - 6*c. Let t(p) = -88*p**2. Calculate h(t(i)).\nAnswer: 1144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 15. Suppose t = -3*m + 18, -5*m - t - t = -30. Let w be y(m). Suppose 5*a + 2*l + 0*l + 8 = 0, -w = 2*a - 5*l. Let q(c) = -6*c - 2. Give q(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -927517.886 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -50*p**3 + 2*p**2 + 2*p + 1. Let s be h(-1). Suppose 2*o = -2*d + 7*o + 96, s = d - 4*o. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -618*r - 12985. Determine c(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -0.14664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/505 and -5\/2828.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1048, 4200, 9452, 16804, 26256?\n\"Answer: 1050*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212030222 (base 4) to base 8.\nAnswer: 461452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x. Suppose 7*h - 8*h + 8 = 0. Let u be 2 + ((-6)\/(-10) - 6\/10). Let i(l) = h*l + u*l - 12*l. What is i(j(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -262784 - -6?\nAnswer: -262779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16149984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -161.7\nAnswer: -161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o - o. Let p(d) = 11*d**3 + 8*d**2 + 8*d - 2. Let c(x) = 5 - 9*x**3 - 5 - 29*x + 22*x + 2 - 7*x**2. Let k(n) = -6*c(n) - 5*p(n). Calculate k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.11 + 7.46. Let d = y + 0.07. What is the closest to -2 in 3, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 11*k + 11. Let q(t) = 3*t + 5. Let c be q(-5). Let y be h(c). Solve -1 = j - n, -3*j + n + 0*n = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4127*o + 4767*o - 637*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10977\/4 + 2744. What is the closest to -2\/7 in 5, b, -0.1, -0.12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1) + 0 + 1. Suppose -5*l = g*q - 23 + 3, 0 = -l - 5*q + 25. Sort 1, -1, l in descending order.\nAnswer: 1, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -78*v + 18. Let a(u) = 4*u - 1. Let n(q) = 18*a(q) + m(q). Let l(z) be the second derivative of z**3\/3 + z. What is n(l(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3484 (base 15) in base 10?\nAnswer: -11149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f - 21. What is the units digit of d(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2 + 249984384*b + 15623048060964864 = 0.\nAnswer: -124992192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 - 9*t - 5. Let l(z) = -3*z**2 - 4*z - 2. Let u be 1\/14 - 213\/42. Give u*l(o) + 2*n(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 + 2*j + 3. Let q(t) = -2*t - 1. Let k be q(3). Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 16?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011273733 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.88 + -0.12. Let d be -2 - 4\/(4 + -12). Let q be (-148)\/180 - (-3)\/5. Which is the third smallest value? (a) d (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-10))\/(2\/4). Let g(x) = 0*x**3 + 2*x**3 + 6*x**3. Determine g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.224 + -2.204. Let x = 0.02 - n. Sort x, -5, -1\/2.\nAnswer: -5, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6560.713l?\nAnswer: 6560713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -14. Let h be 5*24\/k*-9. Suppose 0 = -t - 2*t + h. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*h = 646*h - 3969 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2. Let n(p) = -41836*p**2. What is n(c(h))?\nAnswer: -2049964*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**3 - 110*v**2 + 4*v**3 - v**3 + 64*v**4 + 12*v**2 wrt v?\nAnswer: 1536*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.026833979 and -9?\nAnswer: 8.973166021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = -1482 + 1339 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, 1, 5, -4, -4524.\nAnswer: -4524, -305, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1750, 879, -852, -3455, -6942?\nAnswer: -11325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4983330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a11 + -3?\nAnswer: -a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19179 by 3.\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 78316, -129, -0.5.\nAnswer: -129, -5, -0.5, 78316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 (base 10) in base 2?\nAnswer: -110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117619\/36 - -3264. What is the common denominator of u and -151\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45344 and 1907064?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 6*c - 2. Let w(k) = 6*k**2 + 17*k + 6. Let t be 0 + (-2 + (0 - -3))*11. Let h = -729 + 733. What is h*w(p) + t*y(p)?\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a62a - -608?\nAnswer: 10137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*-2*(-558)\/31?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 36*x - 7*x + 4*x + 61*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -3. Calculate the smallest common multiple of k and 228.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - k + 0*k. Let h(s) = -3*s. Give m(h(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1098 + 6717*g**2 - 1476*g**2 - 1096 to the form i*g**2 + q*g + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -65*z - 64*z + 17 + 201*z - 67*z - 1. Give h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -738.74 * -9.\nAnswer: 6648.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g - 46 = -2*i, 2*i - 46 = -4*g. Let q = i + -11. Suppose -3*d = -q, 0 = -2*t - d + 4*d + 26. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -497, -516, -533, -548, -561?\n\"Answer: w**2 - 22*w - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from xnnoxxnoxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = -3*f + 4*h, 3*h - 12 = -2*f. Suppose f = 3*n + 3*k + 21, 0*n - 4*n + 2*k - 46 = 0. What is the least common multiple of n\/(-20) + 261\/6 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p + 447. Determine l(15).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*c - 191*c + 17136 = -364*c. What is the remainder when c is divided by 476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -13*g + 35. Suppose 8*r = 13*r - g. Solve -4*v - y + r = 0, -4*v = -2*v - 5*y - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(21)*3)\/sqrt(3) + 1 + 3 + ((sqrt(84) + sqrt(84)*2 + sqrt(84))*-4)\/sqrt(12).\nAnswer: -13*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -5\/4 (c) -6 (d) -149 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 54*i = -9*i. Solve i = -8*g + 9*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**3 - 8*f**2. Let b(o) = -o**2. Let q(a) = b(a) + r(a). Find the third derivative of q(p) wrt p.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/3 - (-4 + 78\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(1 + sqrt(72)) - (sqrt(72)*-1*4 + (-1 + sqrt(72) + sqrt(72) + sqrt(72) + 0)**2).\nAnswer: -655 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 15*j**2 + 12*j - 185. Let w be f(-13). Let v(b) = 4*b + 3. Let z(k) = -16*k - 13. Let x(l) = 9*v(l) + 2*z(l). Determine x(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by 9911?\nAnswer: -234\/9911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85330845 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.3, -1, 7, 0.03, 3\/8 in decreasing order.\nAnswer: 7, 3\/8, 0.03, -2\/7, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 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: Let g(s) = -s**3 - 12*s**2 - 11*s + 7. Let j(y) = -y**2 + 3*y + 7. Let a be j(-3). Calculate the remainder when g(a) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*(6 + (-4606)\/(-12))\/1.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 389187, 778385, 1167583?\n\"Answer: 389198*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 1. Let u be n(3). Let p be (-4)\/5*(2 + -7). Suppose 56 = p*s - 2*m - 2*m, -5*s + 73 = -u*m. What is the remainder when 32 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 27*h**3 + 20*h**2 + 14751606*h + 0 - 17*h**3 - 14751603*h to the form m*h**2 + n*h**3 + g + a*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -2794 (c) 0.0478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 39, 1\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znizznnnznzzznin. Give prob of sequence inz.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1702 and 5?\nAnswer: 8510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8231989 from -0.20494.\nAnswer: -8231989.20494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231307951 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) -9 (c) -64\/17 (d) 4 (e) -4 (f) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 0*w**2 - w**2 + 11 + 4*w**2 + 8*w. Let m be r(9). Factor -3*f**5 - 2*f**5 - m*f**2 + 3*f**5 + 2*f**3 + 2*f**4.\nAnswer: -2*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g + 139 - 59 = 0. What is the second biggest value in -11, -2, g, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8614.911ng to kilograms.\nAnswer: 0.000000008614911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.084907445 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5 + 1220*r**4 + 27228*r**3 + 50780*r**2 + 24776*r = 0?\nAnswer: -19, -1, 0, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5286 - 7710 = -224*g for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-327)\/109)\/(420\/532)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = -h, 3*h + 0 + 12 = 5*q. Is -2\/35 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*r - 20 = 0, -5 = -7*v + 2*v - r. Let z = 15 + -11. Put v, -4, z in increasing order.\nAnswer: -4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 7}. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323 + -67. Calculate the highest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108409539.1 to the nearest one million.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -638784 by 26616.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.59826 and -520.\nAnswer: -831.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 105, -5 in decreasing order.\nAnswer: 105, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004745540969 rounded to 6 dps?\nAnswer: 0.004746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.001 (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61 and 429.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = 0. Suppose -3*x + 2*o + 132 = v, 2*o = 3*x - 5*x + 98. Let t = x + -26. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 2. Let c be t(2). Suppose -c*b - 12 = -19*b. Find the third derivative of 5*k**b + 6*k**2 - 13*k**2 + 2*k**4 wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188372268 and 29988?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5 + 4740*w**4 + 978252*w**3 + 4787238*w**2 + 2821329*w - 8591562 = 0?\nAnswer: -1337, -238, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:52 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8221 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-900)\/138)\/((-28)\/(-29)). Let s = x + 3\/644. Calculate the common denominator of s and (-55)\/(-6)*(-11)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/120 - 2*v**5\/15 + v**4\/24 + 2*v**3 + 21*v**2. Let o be y(-8). Solve o = 2*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zull when four letters picked without replacement from {u: 1, q: 3, o: 2, z: 3, l: 3, n: 2}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/9612 and -49\/1677.\nAnswer: 5373108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6 + 0 + 21*i**2 - 7*i - 22*i**2. Let s be y(-7). What is the units digit of -2 - (-83 + s\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {n: 1, d: 3, p: 4, k: 1, j: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r + 10. Let c = -4 + 52. What is the remainder when c is divided by t(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*n*u**4 - 87*a**2*n*u**2 - 3*a**2*n*u + 92*a*n*u**2 - 17210*n*u**4 wrt u.\nAnswer: -24*a**2*n*u - 413040*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -358, -1402, -3144, -5584?\n\"Answer: -349*l**2 + 3*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8444, 22791, 37138, 51485, 65832, 80179?\n\"Answer: 14347*t - 5903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 612654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8071 = -2*n + 81249. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**4*o*u - 2*h**3*o*u + 37*h**3*u - 60*h**2*o*u - 4*h**2*o + h**2 + 2*u wrt h?\nAnswer: 384*h*o*u - 12*o*u + 222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -6*z - 334. Let n = z + 74. Which is the third smallest value? (a) 3\/2 (b) -0.28 (c) n (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*d + 179 - 707. Let w be d - 8 - (-36)\/(-14). Let -12\/7 - 2\/7*m**2 - w*m = 0. Calculate m.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238831 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (124 + -121)*(15\/(-10))\/((-6)\/4). Factor -4\/17*f**o + 0*f - 16\/17*f**2 + 2\/17*f**4 + 0.\nAnswer: 2*f**2*(f - 4)*(f + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-6))\/((-18)\/4))\/((-38)\/342)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -w - 2*w. Let g be 170\/w - 1\/(-4). Let n be (-4)\/((2 - -2)\/g). What is the second biggest value in n, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 68. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 37*b + 10 = 0. Suppose 2*f - 43 = 4*j - b, 23 = 2*f + j. Calculate the remainder when f is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -685040 by 40.\nAnswer: -17126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 50\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/30 - 13*f**2\/10 - 169*f\/10 + 134. Factor u(s).\nAnswer: -(s + 13)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -746*p + 1509360 = -722*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002076887701 rounded to six dps?\nAnswer: -0.002077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2455742\/315 - 7796. What is the common denominator of i and -73\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 886424*j**2 + 49107446340*j + 196443968400.\nAnswer: 4*(j - 110805)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 y, and 1 n when four letters picked without replacement from {w: 1, l: 1, j: 3, y: 1, n: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6425448*f**6 - 94380*f**2 + 13?\nAnswer: -771053760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 17*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2536*s + 3373*s + 2817*s + 1840*s as k + f*s and give f.\nAnswer: 5494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*72\/(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 367\/5 - 73. Let f = -11 + 7. Let h be 10\/(-8) - 1\/f. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7259.5 + -0.2\nAnswer: -7259.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -0.06. Let w = t + 3. Let g = 7\/20 - 11\/60. Which is the second smallest value? (a) w (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 67. Suppose 2*l = l + c. What is the common denominator of 17\/2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*o - 3*o + 13, -o - 3*a = -9. Suppose -w - 14 = -o*w. Let s = w + 15. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.1 or -6\/13?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 44. Suppose -6*o + 5 = -y*a - o, 0 = a + 2*o - 14. Find the second derivative of -a*d**3 + d + 2*d + 9*d + 8*d**3 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*t**4 + 2*t**4 - 2*t**2 + 8569 - 8534 wrt t?\nAnswer: -44*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -258. Let p(d) = -4*d**3 - 34*d**2 + 17*d + 20. Let s be p(-8). Are k and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*t + 260, 10*h - t = 7*h + 156. What is the greatest common divisor of 364 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(2*g**3 + 2*g - 2*g)*(-7 + 7 - 7*g)*(-1 + 2 - 14).\nAnswer: -546*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2)\/((-3)\/33). Let s = h + -4. What is the units digit of 6\/s*(22 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(4 - 5) - -1. Let q(x) be the first derivative of -2\/15*x**3 + 0*x - 1\/20*x**4 - 1\/10*x**2 + f. Factor q(v).\nAnswer: -v*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(6*r**2 - 5*r**2 + r**2) + r**2 - 4*r**2 + r**2 + (0*r + 3*r + 2*r)*(-3 + 38*r - 41*r + 55*r) as a + c*r + h*r**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + h + 2. Let w(u) be the first derivative of 3*u**3 - 3*u**2\/2 - 5*u + 4. Let o(n) = -5*p(n) - 2*w(n). Determine s, given that o(s) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -213\/4. Let u(a) = -a + 2. Let w be u(6). What is the biggest value in s, -1\/2, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from aaaaaaaapaap?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7838, -16193, -24560, -32939, -41330?\nAnswer: -49733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66.3092 and 430010.\nAnswer: 429943.6908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -41917?\nAnswer: -41928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.334123748 rounded to 3 dps?\nAnswer: 0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(65)*2 + sqrt(65) - sqrt(65))\/sqrt(5))**2 + sqrt(13)).\nAnswer: sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-253)\/(-184) - (-6)\/(-16). Let j(v) = 21*v**3 - 1. Give j(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32013242 (base 5) to base 4\nAnswer: -1001013021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4807 = -28*l + 17323. What is the remainder when l is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891069 is divided by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 194034498 to the power of 1\/2, to the nearest integer?\nAnswer: 13930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12265 + 12265. Which is the second smallest value? (a) 21 (b) n (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-1 - 4 - 0). Let i = -2\/28131 - 2166035\/731406. What is the common denominator of i and v\/18*4290\/(-160)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 68*y**3 - 8*y**2 - 6*y - 7. Let g(l) = 45*l**3 - 5*l**2 - 4*l - 5. What is -5*f(z) + 8*g(z)?\nAnswer: 20*z**3 - 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150223302 + -35?\nAnswer: 150223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -988, -1971, -2962, -3967, -4992, -6043, -7126, -8247?\n\"Answer: -c**3 + 2*c**2 - 982*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 425 - -642. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321 (base 4) in base 11?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = z, 4*v - 3*z + 0 - 4 = 0. Suppose 8 = j + 3. Solve v*o = -o + j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let m = -119\/5 + 362\/15. Let z = -32\/7 - -302\/63. Which is the nearest to q? (a) z (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - 589997.\nAnswer: -589996.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/2 + 5667*x**2\/2 + 286263*x + 5362200 = 0.\nAnswer: -72, -25, 1986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3610383 meters in millimeters?\nAnswer: 361.0383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((32956\/(-70))\/107)\/((-1)\/(-5))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 r when four letters picked without replacement from bbbbrbbbrbrbbbbbbrb?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6*2\/(-4)*50\/(3100\/186)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 + 2093 = 12*f. Calculate the highest common factor of f and 1750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 44, -39997\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 - 8070*m**3 - 3965460*m**2 + 8070*m + 3965463 = 0.\nAnswer: -2043, -647, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 5*r**2 + 4*r - 23. Let g(h) = h**3 - 6*h**2 + 5*h - 22. Let v(o) = 4*g(o) - 5*y(o). Suppose 0 = -u + 2*u. What is the tens digit of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 12952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 16*n**2 + 22 - n**3 - 4*n**3 + 18*n + 4*n**3. Let h be s(-15). Let k = 26 - h. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:45 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t**2 + 3*t - 3. Suppose 16*o = 17*o - 2. What is the units digit of j(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 40 - 240. Suppose 2*x + 342*o - 344*o = 150, -x - o = -85. What is the highest common factor of x and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + 3*n - 3. Let w be l(3). Let q be w - (-5 + 2\/1). Find the common denominator of 375\/q - (2 - 3) and 25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/770630 and -39\/7?\nAnswer: 770630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -39*p**2 - 7*p + 7. Let j(b) = 19*b**2 + 4*b - 4. Let l(d) = -5*j(d) - 3*u(d). Does 16 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-30) - ((-4)\/6)\/((-355)\/213))*-1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14219411 times 10?\nAnswer: -142194110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 140 = 0. Let u be ((-10)\/(-30))\/((-1)\/(-207)). Let o = -60 + u. Calculate the remainder when w is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 7702.\nAnswer: -7706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 13270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s - s**2 + 2*s**2 + 1 + 0. Let w be 9*42*5\/135. Let p be -16*((-21)\/w)\/(-3). Calculate a(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4060960 rounded to the nearest 1000?\nAnswer: 4061000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/657 and 157\/16531434.\nAnswer: 16531434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -1, -25.2.\nAnswer: -25.2, -1, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 34*x**2 - 12*x - 27. Let b be t(-5). Is 759 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -3*c - 288. Let x = c - 41. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p + 2. Let h be z(-2). Let y be 1 + 2 + h\/(-10). Are y and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 262501*z**2 - 6*z + 8. Let j be f(4). What is j rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 246, 476, 678, 846, 974, 1056, 1086, 1058?\n\"Answer: -x**3 - 8*x**2 + 261*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2143, 4338, 6533, 8728, 10923, 13118?\nAnswer: 15313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677600 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2124280764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g + 8*g - 3*g)*(1 + g - 1).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 95.46153 years?\nAnswer: 0.9546153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 32*x**2 - 14*x - 9. Let i be f(-9). Suppose -2*d + 11309 = i. What is d rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 8, 77 in increasing order.\nAnswer: -4, 5, 8, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/8))\/((((((k**(-5)*k)\/k)\/k)\/k)\/k)\/k))\/(k\/(k\/(k*k*(k**0*k)\/k*k*k)))**13 assuming k is positive.\nAnswer: k**(-339\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s**3 - 62*s + 62*s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33069750 divided by 94485.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-286)\/(3 + (-3 - 2\/4)). Suppose -j = 5*s + j - 566, -5*s + j + n = 0. Is 57 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3) + (637\/112)\/(9\/144)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 9*b + 15. Let m be i(-2). What is the greatest common factor of m and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-6))\/(420\/756*3\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8550*o + 61. Is 50 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 a, and 1 x when four letters picked without replacement from {d: 5, a: 1, x: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 60 = -8*g - 3*d, 0 = -g - 5*d - 80 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*c + 15 = 0, y - 2*c - 9 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 52\/719?\nAnswer: 52\/719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*k - 4)*(k - 2 + 2) + 3*k**2 - 2*k**2 + 0*k**2 - 5 + 1 + 3 - k**2.\nAnswer: -3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1239446 by -1239446.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32298 is divided by 4608?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 9:29 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700813 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4978\/3 + 109375\/66. Calculate the common denominator of f and (-4)\/(96\/267) + 3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078730, -1078750, -1078770?\nAnswer: -1078790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 14*i**2 + 7*i + 17. Determine q(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 8. Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185 + -150. Suppose 0 = 2*a - 181 - z. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 196*p. Determine d(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 2. Let f be ((-9)\/30)\/((-30)\/a). Is f at most as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 53 = 33*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011000011 + 11011000101000?\nAnswer: 11111011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36306984 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 664.5948 litres?\nAnswer: 664594.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)*x*x**(-3)*(x**(-1\/5))**13)**(4\/9))**14 assuming x is positive.\nAnswer: x**(-1148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-3)\/6). Suppose 3*c - r*h + 10 = 1, c + 5*h - 21 = 0. Solve 0*w + w + c = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192))**2*-6.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -20. Let i be (52\/16 - 3)*o. Find h such that 8 - 6*h + 8*h**2 - 11 + i = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29.1 and 3104.\nAnswer: 3133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15413795 and 1265?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:03 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0257 in 9, 2, -2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8574 or 147?\nAnswer: 8574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(153) - sqrt(153))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 3*y**4\/4 - 32*y**3\/3 + 381*y + 95. Differentiate c(d) with respect to d.\nAnswer: 9*d**2 - 64*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279 times 0.3?\nAnswer: 983.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = r + f, 2*r + 171 = -f + 558. Suppose -3*j + 74 + r = 0. Let x = 202 - 179. What is the remainder when j is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923532 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 + -130?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + h - 4*h + 38 = 0, -w + 14 = -5*h. Let t = w + -25. Suppose -4*m + 3*q + 78 = -32, 2*q = 3*m - 82. Solve -4*g + m = 5*f, -2*f - g - t*g = -24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 22*y**2 - 23*y. Let n be b(-23). Suppose 2*c = -4*i + 218, n = 5*i - 0*i + 5*c - 275. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -135. Let z(y) = 2*y**3 - 46*y**2 - y + 26. Let a be z(p). Is -212*((-20)\/(-8) - a) - -1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 619, 864, 1109, 1354, 1599?\nAnswer: 1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38927616 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1564533.3 - 1564258.300356. Let w = 275 - u. Round w to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 - 154*d + 410. Let s(c) = 2*c. Give k(s(j)).\nAnswer: 4*j**2 - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10274*o**2*u**2 - 4827*o**2*u - o*u**3 - 5*o - 8*u**2 - u - 1 wrt u.\nAnswer: -20548*o**2 - 6*o*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/20)\/(1\/(-5)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 80. Let t = 41.5 + q. What is the third biggest value in -4, t, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303095373 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201443 + 2433?\nAnswer: 204431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-33)\/2*820\/(-123) is divided by ((-14)\/3)\/(1\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 45*s - 66. Let y be v(-50). Solve -99*o - 509 - y = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 231.88.\nAnswer: -232.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 = 2*y - 6, 0 = -2*k - 3*y + 30. Calculate the lowest common multiple of 2 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1262464761 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 8. Let x be o(-8). Suppose -2*y + 3 - 9 = x. What is the units digit of 0 - 2*(y - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675.825 take away -5.7?\nAnswer: 3681.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and (-12*(-1168)\/(-256))\/(5874\/4).\nAnswer: 19580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7261536 hours in minutes?\nAnswer: 43.569216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113.42 + -110. Let r = p - 0.42. Let a = 3.0000005 - r. What is a rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.827 - 0.187. Let t = -23.27 + j. What is t rounded to one dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*b = 11 - 2, 5 = -x - b. Let d be (-7)\/(-12)*(-28 - -1). Let v = d + -1\/2. Calculate the common denominator of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.01 - -0.01. Let d = -2 - k. Let y = -9 - -12. Which is the nearest to d? (a) y (b) 0.2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j - 2991 - 561 = 0 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/(3\/33). Let n = p - 6. Solve -3*k + 4*k + 10 = 4*r, -8 = -k - n*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03044094 - 0.0304. What is u rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 5*u = 4*l + 5, -4*u - 5 = l. Suppose -4*i + 6 = 4*h - 2, h - 8 = i. What is the remainder when h is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 - 23*a + 162. Let w be l(7). Which is smaller: w or 3\/77?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**5 + 0*k**5 - k**5 + (-k**3 + 0*k**3 + 3*k**3)*(-2*k**2 - 3 + 3) + (2*k**2 + k**3 - 2*k**2)*(2 - 2 + k**2))*(4 - 1 - 1).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*t + 77 = -120*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5830.795 grams?\nAnswer: 5830795000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 180 + 44 = 0. Let d = -6 + 10. Let j = 8 + d. What is the remainder when y is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8616?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 271, 261, 253, 247?\n\"Answer: w**2 - 13*w + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*0.019\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.28116 times 0.538\nAnswer: -0.15126408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) 2 (c) -0.01 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2134 = -2*b + 434. What are the prime factors of b?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 6*z + z)*(0 - 4 + 7) + (-z - 2*z + 5*z)*(-2 - 1 + 1).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 275764*u + 4965048.\nAnswer: -4*(u - 68959)*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524793 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 12 + 2 + -12 + 6 - -5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = -0. What is the greatest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 600 + -93a?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 561752 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/30*6)\/(11\/110)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, 4160, 3, -3 in decreasing order.\nAnswer: 4160, 3, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -6 + 36 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 4*y - 1. What is b(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 40 = -2*b, -5 = -2*u - 3*b. Let r(g) = -g - 4. Let q be r(u). Is q\/(-21)*(-402)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1261 = -8*x. Calculate the remainder when x is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Suppose -5*p = c*x - 112, -4*p + 2*x + 128 = p. Suppose p = -0*n + 4*n. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 9 = -5*f. Let j be -4*(f\/(-1) - -2). Suppose -j*m + 5*m + 22 = g, -3*m = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 1. Let t be k(0). Let x = 3 + t. Solve 3*z = x*u + 1, -2*z + 6*z + 4*u + 12 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 46. Let j = -53 + 88. What is the remainder when j is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/4)\/(1\/4). Let v be n\/(-21) + 1 + -1. Let o = -264 - -268. Which is the closest to 0.1? (a) v (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*y + 11. Find the first derivative of -13 + 28 + 7*o**2 - 13 - y*o**2 wrt o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128337.\nAnswer: 3, 11, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -8 - (-39 + (-6 - (9 + -1)) + 4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10251442 (base 6) to base 2\nAnswer: 1001001110100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.7267?\nAnswer: -0.7267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:20 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 6*v - 31 = -16*v + 4*z, 0 = 2*z + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 8. Let d be k(-5). Suppose -5*o = -3*z + 16, 5*o - 4 = -5*z + d*o. What is the closest to -1 in z, 3\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(35)\/(sqrt(5) + sqrt(320)) + sqrt(14)\/(2*sqrt(2) - sqrt(2)))*6 + -5)**2.\nAnswer: -380*sqrt(7)\/3 + 10333\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*c - 7, -4*z + 9*c - 4*c = -14. Suppose -2 = -5*p - 7. Let a(m) = -2*m. Let s be a(p). Put 4, z, s in descending order.\nAnswer: 4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - 0.26. Let d = 51.73 - -2.07. Let s = 54 - d. What is the biggest value in -4, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 120 = 4*q, 18 = -4*b - 2. Let d = q - 27. What is the greatest common divisor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880060537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/42 + (-19465)\/(-15134). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -196.394 - -196. Let j = -0.006 + c. What is the smallest value in 0.5, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338276053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = u, 70*y = 67*y - 4*u + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 102.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -379, -382, -387, -394, -403, -414, -427?\n\"Answer: -l**2 - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z = -35*z + 23*z + 55208. What is the remainder when z is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5*205)*(2 + -1). Suppose 0 = -18*o - 195 + f. Let j = -49 + o. Put 10, -4, j in increasing order.\nAnswer: -4, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l + 4*z + 133, -61*l + 105*l - 59*l = -2*z - 55 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -25*s + 456. Calculate the remainder when (-224)\/20*200\/(-16) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(152)*2*-5)\/(sqrt(128)*6*-3) + 0)*3.\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74303153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*t + 2*t = 0, 0 = 4*r - 12*t + 14*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/35 and -97\/1568?\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -34.99. Which is the closest to 0.2? (a) m (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m + 13*m + 0 + 0)*(14 - 6 - 11) as j*m + y and give j.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8028.7526 + -7932.38. Let f = -296.37177 + g. Let k = f + 200. Round k to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/9*(-162)\/(-4). Let i(c) = c + 6. Let t be i(-4). Suppose -19 = t*r + 3*n - d, 4*n = -12. Solve 0 = 4*y + 6 - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 148 (c) -3\/5 (d) 20 (e) 1.33 (f) 0.3 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14*a - 190 = -5*f, -2*f + 110 = 3*a. Does 30 divide (21\/14)\/1*10*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b - 4. What is y(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 2*c + 1. Let v(m) = -175*m**2 - 10*m + 5. What is v(x) - 5*w(x)?\nAnswer: -170*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 2*j + 1. Let n(f) = -10*f**2 + 4776*f - 5745618. Let r(i) = 9*k(i) + n(i). Determine y so that r(y) = 0.\nAnswer: 2397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/(-490))\/(2*(-69)\/(-10))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/(-12) - 0)*411. Suppose y = m - 957. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from frccrgrcrhchhr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -16)\/(8\/5 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17540)\/65775)\/(1\/(-165)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37562, 75126, 112680, 150218, 187734?\n\"Answer: -v**3 + v**2 + 37568*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/4)*d*d**(2\/3))**30 assuming d is positive.\nAnswer: d**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*a**4 + 83*a**3 + 32812*a**5 + 1250*a - 308*a**3 - 32817*a**5 - 125*a**2 = 0. What is a?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/19)\/(u\/u**(-9)*u*u))\/(((u**7\/u)\/u)\/(u**11*u)))**(-31))**(-7\/2) assuming u is positive.\nAnswer: u**(-10416\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (-4 + 34 - 101)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -9)*39\/2. Suppose 0*x - d = -3*w + 3*x, 4*w + 3*x - 125 = 0. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, k: 1, s: 3}. Give prob of sequence srss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(104)\/(sqrt(16)\/sqrt(2)) + -1.\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -50.9999845. What is i rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlithvlst. Give prob of sequence isll.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 472378, 472377, 472376, 472375, 472374?\n\"Answer: -t + 472379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*v - 9*v - 3 + 2 - 7 wrt v.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-266)\/(-70))\/19*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1, -0.2008197, 5, -0.01 in increasing order.\nAnswer: -1, -0.2008197, -0.01, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 82850 times -42\nAnswer: -3479700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14853 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4919101 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35781160 and 12780?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2208)\/(-18) + 4 + (-44)\/12 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -450, -1058, -1682, -2322, -2978?\n\"Answer: -8*n**2 - 584*n + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (671 - 671 + 5210*d)*(2*d**2 - 3*d**2 + 2*d**2) - 3*d**3 + d + 4*d**3 - 2*d**3 to the form s*d + a + h*d**3 + i*d**2 and give h.\nAnswer: 5209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1886 - 129*o - 124*o + 252*o as f + j*o and give f.\nAnswer: -1886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 + v + 5. Let o(g) = 5*g**2 - 2*g - 6. Let k(c) = -5*o(c) - 4*y(c). Let x be k(5). What is x rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -17. Is j > 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184093266 to the nearest integer?\nAnswer: 13568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 395258536 a multiple of 2499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 97 (b) 0.07 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 - -183.1. Let z = 0 + -0.1. Let s = -0.1 - z. Is q greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*t + 4, -3*t + 3 + 5 = 4*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21175 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157110000 rounded to the nearest one million?\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 9. Let s(b) = 26*b**2 - b - 120. Calculate s(t) - 6*v(t).\nAnswer: 20*t**2 - t - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 65 - 3*i - 34 - 35 + 2*i**2. Suppose 4*d - 14 + 2 = 0. What are the prime factors of h(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1580 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**6\/54 - 7*y**5\/45 - 2*y**4\/9 + 16*y**3\/27 + 686. Suppose j(a) = 0. What is a?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/104179260 and -11\/52089630?\nAnswer: 104179260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 10*m + 2. Let a be j(-10). Is 1 + 174\/a + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/((-1)\/2). Let m = 0.16 + 0.44. Let y = m + -0.2. Which is the second biggest value? (a) 1\/10 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 - 1612*k + 51520 = 0. Calculate k.\nAnswer: 35, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2401134\/67 or -35839?\nAnswer: -2401134\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 5*o - 752. Suppose n + 2*x = o - 649, -n - 455 = 3*x. Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237*d**4 + 304*d wrt d.\nAnswer: -2844*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177*h - 209*h - 5 + 359*h)*(-2 + 0 - 5).\nAnswer: 189*h + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 112401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/287?\nAnswer: 3\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 87872127 - 14348950 = -284*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 2*w**2 + 3*w + 1. Let i be j(-3). Let v = i - 77. Suppose 3*o + 7 = 19. What is the lowest common multiple of v and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/(-21)) + (-228)\/(-57)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 161 - 809. Let t = m - 124. Let p(f) = f**3 + 4*f**2 - 2*f - 1. Let y be p(-4). Calculate the highest common factor of y and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*322\/182 - 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -197, 115, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 6*m - 8. Let h(y) = -y**2 - 2*y + 3. Let a be ((-156)\/91)\/(8\/(336\/(-9))). Give a*h(n) + 3*z(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*c - 205, 4*b + 2*c - 128 = -2*c. Suppose 0 = 4*g + 4*d - 4, 2 = 4*g - 3*d - b. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.067 and -212\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/176 and -59\/54144?\nAnswer: 595584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Let s be t(6). Suppose 20 = s*l + l. Suppose 3*p + l = 4*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26175.\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/42)\/(-1 - (-40)\/28).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 7942?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-2)*4\/(-4). Let n be (o\/(-8) + 1)*8. Solve 0 = -n*b + 4, 2*k + 4*b - 3*b = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -44 (b) 0.0099 (c) 0.3 (d) 2\/29 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5467.\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21752?\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1863942, 14911462, 50326178, 119291694, 232991614, 402609542, 639329082, 954333838?\n\"Answer: 1863934*y**3 - 6*y**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15 + 13 - 3*o + 4 - 2. Let q(t) be the third derivative of t**4 - 7*t**2. What is q(b(w))?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6 - 2 - 20*q + 2 + 18*q. Give u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2238*o**2*w**2 - 145078*o**2 + 81979*w**4 - 2288 wrt w?\nAnswer: -4476*o**2*w + 327916*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c + 1. Let d be r(0). Let j be d\/(9\/6 + -1). Find the third derivative of 2*t - 4*t**2 - 4*t**6 - j*t wrt t.\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from gggawlgvalqggaa.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000298883 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-522)\/35 + (-30)\/105. Let n = d + 1282\/85. What is the biggest value in -4, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16350 is divided by 364?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecef when four letters picked without replacement from {f: 1, c: 11, e: 3}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -986, -4049, -9194, -16421?\nAnswer: -25730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2477141\/78 + 31758. What is the common denominator of 8\/1815 and f?\nAnswer: 47190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 + 243. Solve 0 = l*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 198 = 5*l - 47, 0 = -4*l - 4. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Suppose -6 = 5*m - 4*o - 0, 3*m + 4*o = -10. Let c(r) = -r**2 - 4*r - 3. Let y be c(m). Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/24 - 5*r**3\/6 - r**2. Let o be y(-6). Find v such that 7*v**2 - o + 1 - 6*v + 2 - 15*v**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569181648 to the power of 1\/3, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3099743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/(302*(-219)\/(-396828))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 375\/133?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + (-288)\/(-27) + 1 + 2. What is the fourth smallest value in m, -2, -1\/10, 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.1794 centimeters in nanometers?\nAnswer: 5491794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-941.\nAnswer: -188.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-14) + 2 + -1. Let d be 4 + -7 + 1 + 2. Let q(v) = -2*v**3 + v**2 - v - 1. Let u be q(-1). Sort p, d, u.\nAnswer: p, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74 + -67 + (2 - 9). Solve l*k - 4 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3663610607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9477.11 rounded to the nearest ten?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Find the second derivative of -4*a**4 + a + 3*a + s*a**4 + 6*a**4 wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1594206 by 9.\nAnswer: 177134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:11 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13735385 by 5.\nAnswer: -2747077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*21\/539 - (-9)\/(-33). Solve f = 31*i + 181 + 36 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/((10 - 48) + 35). Factor -2\/13*q**3 + 2\/13*q - 2\/13*q**2 + 2\/13*q**4 + c.\nAnswer: 2*q*(q - 1)**2*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 21. Suppose 2*y = -i - i, 2*i = 4*y - 24. Let l be (-2)\/8 + 21\/y. Calculate the highest common factor of n and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/3, 2, 0, 1\/3 in decreasing order.\nAnswer: 2, 0.4, 1\/3, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100 - 2 - (13 - (58 + -36))) + 1 + 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14006668 (base 9) to base 10\nAnswer: 6913655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3 - (-5 + 3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 2*c + 7. Let f(i) = i**2 + 2. What is -6*f(l) + g(l)?\nAnswer: -l**2 + 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5391, -5429, -5493, -5589, -5723, -5901, -6129?\nAnswer: -6413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44535944 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036965?\nAnswer: 3, 5, 73, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/5)\/o*o)**(30\/11)\/((o*((o\/o**3)\/o)\/o)\/(o\/(o*o*o\/(o*o\/o**(-10\/9))))) assuming o is positive.\nAnswer: o**(623\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 2*d - 2*d + 9*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -1 + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1958 (base 12) to base 16.\nAnswer: c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -526.5\nAnswer: -527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:01 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2 + 86*f - 316. What is p(14)?\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -57 + (3 - -29) + 2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120296, -481191, -1082682, -1924769, -3007452?\nAnswer: -4330731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 1. Let z(c) = -2*c - 1. Let a(u) = -4*s(u) - z(u). Let b(o) = 4*o + 7. Calculate 9*a(g) + 4*b(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -52*u**3 + u**2 + 6 + u + 58*u**3 - u - u. Let i be t(-3). Let f = -92 - i. Calculate the remainder when f is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 1. Let b be w(1). Solve b = 5*g - 5 - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207565951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 230 = 15*f. Let d = f + -28. 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: Simplify (((s**1\/s)**(-1\/46)\/(s**10\/s*s\/(s*s**(2\/7))))**27)**(38\/7) assuming s is positive.\nAnswer: s**(-62586\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1743856, 3487712, 5231568?\nAnswer: 6975424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -37 + (6 - -9) - -25 - (-58 + 1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3555 (base 8) to base 14.\nAnswer: 99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 304 - 362?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 17094.\nAnswer: 34188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -25*x**2 + 6*x - 6. Let h(d) = d**2 + 2*d - 1. Let j(z) = 6*h(z) - o(z). Let l be j(-1). Solve l = -5*u, -3*g + u = -4*g - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 + 0.05. Let q(v) = -v**3 + 8*v**2 - 8*v + 7. Let i be q(7). Let j = i + 0. What is the biggest value in j, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x. What is the closest to x in 0.2, -2\/7, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**3 + 82*h**2 + 32*h - 9. Is z(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5 - 2550*w**4 + 7790*w**3 + 48720*w**2 - 7785*w - 46170 = 0 for w.\nAnswer: -513, -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7352*k**3*p - k**3 - 4*k**2 - 120*k*p + k - 19778 with respect to p.\nAnswer: -7352*k**3 - 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6 and -93\/34987580.\nAnswer: 104962740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.4 (c) 55\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 24*j - 41. Calculate the least common multiple of x(-5) and 121.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2047930331 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(((-2*(sqrt(176) - (1 + sqrt(176))) + (sqrt(176) + 0 + -1 - sqrt(176)))*-2)**2 + (sqrt(176) - (-5 + 3*sqrt(176)))**2 + (sqrt(176) + 0 + 1)**2).\nAnswer: -913 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**4 + 10*w**2 - 2046*w - 1563209?\nAnswer: -4*w**3 + 20*w - 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/6 + 3*d**5\/2 - 65*d**4\/12 + 10*d**3 - 10*d**2 + 2*d. Factor g(n).\nAnswer: -5*(n - 2)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-90)\/(-180)*18\/(-45)*(-10)\/(-32)\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -239261.\nAnswer: -239271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 3*d**2 + 17*d**2 + 2 + 25*d**2.\nAnswer: 36*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 77605 - 392250 = -3*n, -4*n + 5*y = -419526. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16043\/19? (a) -6\/7 (b) -1\/22 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(147)\/(sqrt(7)*2))\/(sqrt(112) + (1*sqrt(112) - sqrt(112))))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244591\/90 + -13627\/5. Find the common denominator of (-6)\/(-45)*5*(-1416)\/128 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18253*t - 18211*t + 36463*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 164*v**2 - 156*v - 8 = 0. What is v?\nAnswer: -2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2232413 + 1204?\nAnswer: 2234122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -23. Let h be (-39 + w)*-1 - 2. Find the first derivative of 1 + 34*f**3 - 2 - h*f**3 wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 - 142735*h - 2427940 = 0. What is h?\nAnswer: -17, 28564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 28*w**2 + 192*w + 1180. Let o be c(-6). What is the highest common factor of o and 1147?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9566 = y - 7*u + 9521, 4*u + 4 = -5*y - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 10, 2*j - 2*i - 117 = -3*i. Calculate the remainder when j is divided by 12\/((-39)\/12 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, b: 3}. What is prob of sequence bc?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 28*v**2 - 24*v + 30. Determine s(-29).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 3*u**2 - 4*u + 2. Let i be z(-4). Let n be i\/2*5\/(-45). Let t = -2 + -3. Which is the third biggest value? (a) 3 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*w = -6, -w + 3*w = 0. Let t be ((-26)\/10 - p) + 791\/35. Let v = t - -27. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 75 - 75 - 8*m + m**3 + 152. Let b be v(-4). What is the third derivative of -92*k**3 + k**2 + 2 - b*k**6 + 44*k**6 + 92*k**3 wrt k?\nAnswer: 5040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/120 + o**5\/60 + o**4\/8 - o**3\/2 + 2*o**2. Give c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**0)**(-6))**(-20)\/((b**1)**(-5\/4)*(b**(-2\/3)*b)**(1\/12)) assuming b is positive.\nAnswer: b**(2171\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11742829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -142. Let p(r) = r**2 + r - 3. Let g be p(0). Let i = l + g. Solve 0 = i*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111.22 + -121.22. Sort l, -4, 26 in increasing order.\nAnswer: l, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**8\/b)\/b)**(-8)*b**(-2\/37)*b*(b\/(b*b*b**(-5\/3)))\/b*b*b*b*b)**(-3\/5) assuming b is positive.\nAnswer: b**(4816\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tngn when four letters picked without replacement from {g: 5, n: 7, t: 1}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3444, 6897, 10312, 13653, 16884, 19969, 22872, 25557?\nAnswer: 27988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700706, -700679, -700610, -700481, -700274?\nAnswer: -699971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474536 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81230422.\nAnswer: 2, 7, 13, 229, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -2. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2. Let h be -1 - 10\/4 - (-3)\/(-6). Let q(u) = -2*u**2 - 8*u + 2. Let i be q(h). Let f(z) = 0*z**i - 3*z**2 + 0*z**2 + z**2. What is t(f(w))?\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -8.3. Let u = q - -7. What is the biggest value in 0.4, u, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 4. Let m be q(-7). Let h = -13 - m. Calculate the remainder when ((-12)\/h)\/(36\/2280) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 13*f + 3. What is the tens digit of a(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k - 219 + 193 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - a = -25, -x - 21 + 26 = -2*a. Suppose 0 = -x*c + 13 - 3. Solve c = 2*w + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81811567, 81811568, 81811569?\n\"Answer: x + 81811566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -3*j - 4*b + 758, 0 = -j - 3*b + 244. Suppose m - 5*m = 2*d - j, d - 2*m - 129 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6670.247m in nanometers?\nAnswer: 6670247000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -3954 - 699. What are the prime factors of r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) + 2))**2 - (5 + sqrt(52)).\nAnswer: 98*sqrt(13) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 214 - 66 = 0. Which is bigger: d or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.775957 kilograms to grams.\nAnswer: 7775.957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 16*g**3 + 50 - 5*g**3 + g**3 - 72*g**2 to the form w + v*g**2 + b*g**3 + n*g and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 + 25*l**2 + 21*l**2 + 92 + 28*l**2 - 93*l**2.\nAnswer: -l**2 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 20*y**2 + 48*y - 1. List the prime factors of z(-23).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjbjjjbbjjb.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 7*u - 21. Calculate the remainder when 50 is divided by h(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76184366?\nAnswer: 2, 38092183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/180 + w**4\/12 + 2*w**3\/9 + 2*w**2 + 37. Factor t(j).\nAnswer: -2*(j - 2)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062*f - 23154 = 381*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 6*r**2 - 45. Let l(t) = -t**3 - t**2 + t - 1. Calculate the remainder when z(8) is divided by l(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l + 92. Let o be h(-5). Let a(v) = 5*v**2 - 13*v - 43. List the prime factors of a(o).\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1452360\/(-84721)*(-28)\/(-10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3239837745 and 65449.\nAnswer: -3239772296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/561480 and 21\/346246.\nAnswer: 20774760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*o = 4, 0*o = d - 4*o + 2. Is 246 - 18\/12*d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-36)\/(-6) - (-9 + -30). What is the greatest common divisor of 560 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(17) + 5 + -5.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, d: 1, r: 3, i: 7, v: 2}. Give prob of picking 3 h.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j. Suppose -x - 3 = -4*d, 2 + 9 = 3*d + x. Let n(y) be the third derivative of 0*y + 0*y**3 - 5\/24*y**4 + 0 + 3*y**d. Calculate n(l(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787719.\nAnswer: 3, 67, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589722181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from tooooomotoomoo?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 782\nAnswer: -58\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(h**3 + h**3 + 0*h**3)*(5 - 3 - 5) as g*h + r*h**3 + z + k*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.35 - 6.35. What is the third biggest value in u, 5, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/1259 - 814606\/13849. Let h = f - -59. Which is the smallest value? (a) 0.01 (b) -0.7 (c) 3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1284326*b**2 + 1512001*b.\nAnswer: 2568652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 1295395.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 29. What is b(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 - 3*x + 6. Let f be a(4). Let p = f - 16. Let o be (-4)\/6 - 34\/p. Sort o, 0, 7 in ascending order.\nAnswer: 0, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 6*o - 5*o - 37 + 0.\nAnswer: -2*o - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 87300 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085153 a multiple of 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*h - 25871 = 96*h + 21365 + 15156 for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 573*y**2 - 12*y + 188. Is d(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 8*p - 5. Let g be h(7). Suppose 4*s = -g*d + 162, 3*d + 76 = 4*d - 3*s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 6, d: 2, c: 2, i: 5}. What is prob of picking 1 e and 2 c?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + 6. Suppose 5*k = 0, 4*q + 0*k + 2*k = 8. Suppose -j + q = 1. Sort j, o, 3 in decreasing order.\nAnswer: 3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(102) + -2*sqrt(102))*-1)\/((sqrt(60)\/sqrt(2))\/sqrt(5)) + 0)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -32. Let c(w) = -42*w**2 - 8. Let b(o) = -41*o**2 - 7. Let v(f) = k*b(f) + 6*c(f). Let y be v(-1). What is the greatest common factor of 90 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*o + 4 = -2*o, -5 = 3*y - o. Let b be 3 + ((-136)\/(-102))\/(2\/(-3)). Sort 71, b, y.\nAnswer: y, b, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -21) + 3 + -11 - 25\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0 - (7 - 4)). Suppose 7 = 2*v - 1. Factor v*j**2 - j**3 + 4*j - j**4 - 3*j**3 - 5*j**4 + 2 - 2*j**p + 2*j.\nAnswer: -2*(j - 1)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 6*z + 18. Let r be i(-4). Suppose 5*w = r*w. Solve w = -13*k + 9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 2*r - 2*r + (-3 + 3 + r**4)*(-6 - 5 - 3).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 2*l = -12*l + 5*c - 72, 3*c - 42 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2284256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58226, -116793, -175374, -233975, -292602, -351261?\n\"Answer: -g**3 - g**2 - 58557*g + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - 2\/(-4). Let a(u) = -u**2 + 8*u - 1. Let x be a(6). What is the highest common divisor of j and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 43. Suppose 2*s + 4 = r, 4*s - 4*r = -i + 2. What is s rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8707673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k + 21 = -4*n - 33*k, 2*n = -2*k - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 28\/(-36). Let q(x) be the first derivative of x**2 - x - 3. Let i(p) = 15 - 45 + 12 + 9 + 8. What is m*q(n) + 4*i(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -206298.307 times 0.5\nAnswer: -103149.1535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -1152\/11 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-78))\/((770\/44)\/35)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1, 1\/3, -29\/596, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*q + 2*q. Let s be 10\/(-90) - (-2)\/q. Are s and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 - 5*r - 54. Let l be i(10). Let c = -2\/47 + 149\/188. What is the third biggest value in c, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(95)\/sqrt(5) + 2).\nAnswer: 4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l + 576*l**3 + 48 + 10*l**2 - l**2 - 575*l**3. Is 18 a factor of p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-49) - 46\/(-14). Solve -f - 3*f = -3*w - 6, 15 = 3*w + c*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 + 11*o + 42 = 0. Calculate o.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - u + 26 = -2*u, -4*u = 20. Find the first derivative of g*d + 6*d - 19 - d wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56 - -59 - (8 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 456, 1120, 2216, 3744, 5704?\n\"Answer: 216*z**2 + 16*z + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 7*x + 2. Let h be f(2). Let r be h*(-1*(-8 - -3) - 3). Put r, 4, 2 in descending order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/11287 (c) 0.07 (d) -4 (e) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 131. Solve 0 = -v*a + 3*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806880 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: Simplify ((l**(-1\/2))**(-16))**(5\/12)\/((((l*l**(4\/5)*l)\/l)\/l*l**(-2))\/((l\/((l\/l**(-3)*l)\/l*l))\/(l\/l**(4\/3)))) assuming l is positive.\nAnswer: l**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6958 = 1270*a - 1767*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -i. Suppose -35 = 50*r - 435. Calculate the remainder when i\/4 - (-306)\/8 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -434 + 11100?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 130*f - 449*f**2 + 7 - 73*f - 55*f to the form a*f**2 + s + i*f**3 + g*f and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1404 and 49\/234.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**2 + 6*h - 18. Let n(g) = -16*g**2 - 10*g + 30. Let v(q) = -3*n(q) - 5*z(q). Let i(r) = 3*r + 2*r - r. Give i(v(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 463 + -325. Suppose -3*u - 5*b + c = -346, u + 4*b - 166 = 0. Which is smaller: u or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 830803521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. Let l be (-51)\/9 - (-6)\/9. Let k be (6\/(-4))\/((-3)\/(-6)). Sort c, k, l.\nAnswer: l, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 34.8\nAnswer: 1009.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8008.33478+-0.2\nAnswer: 8008.13478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3012*s - 3713. What is the hundreds digit of r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93600037*j*q**4 + 2*j*q**2 - 2*j*q - 9*j + 2*q**2 + 35166*q - 1 wrt q?\nAnswer: -2246400888*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -42 + 55 + 2 + -40?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7062 and 96615729?\nAnswer: 96622791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3880\/(-8536))\/(2\/(-66)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 + -2) - -24. Let y = q - 12. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3186 divided by 1?\nAnswer: -3186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + -39. Let u = 69.5 + k. Which is the second biggest value? (a) 2\/13 (b) u (c) 5.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*r**4 - 1 - 7 - 5*r + 5*r wrt r?\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-4)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 39 (b) 2 (c) -0.06 (d) 0.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 502889310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -29. Suppose k*h - 90 = 9*h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.025 - 0.125. Which is the second biggest value? (a) -2\/11 (b) -0.2 (c) t (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let p = -5 + h. Is 3*p*3\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/4)\/(917\/(-154) - -6). Let l = z + 232. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a factor of 1459090190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 37) + -34 + -7 + (9 - -2)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81486 + 0.4.\nAnswer: -81485.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 3.7. Which is the third biggest value? (a) 0.4 (b) q (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/160 + y**5\/80 + 3*y**4\/4 + 9*y**3\/2 + 18*y**2 - 54*y. Determine r so that o(r) = 0.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/7 (b) -2 (c) 2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 300593387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526997?\nAnswer: 526997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:31 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88) - sqrt(22))\/(sqrt(176)\/sqrt(4) - sqrt(11)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 96*o + 2226. Let w be y(39). Solve -88*k = -89*k + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -577*n - 169. Suppose 92*g - 114*g - 286 = 0. Let q be p(g). What is q rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let f be x(-1). Let k be f*5\/(-2) + -3. Let t be 2\/6 + (-26)\/42. What is the third biggest value in 4, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*o + a, 3*o - 2*a = 80 - 30. What is the highest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487654585?\nAnswer: 5, 11, 89, 99623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**2 - 5*w - 15. Let v be s(6). Let f = v + -335. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2415*-0.1.\nAnswer: 0.22415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let d(z) = z. Let m(n) = -c(n) + 2*d(n). Suppose 5*w - 2*w = 0. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2840*c + 2324*c - 1105*c - 571*c.\nAnswer: 3488*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*w + 88*w - 261*w - 51 - 150 + 89*w.\nAnswer: 2*w - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7309422, 14618842, 21928254, 29237658, 36547054?\n\"Answer: -4*l**2 + 7309432*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -39*p**3 + p**2. Let o be f(-1). Is 90\/20*o\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 12 - (-3 + 14 - (1 - -16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**4 - n**4 + 3*n**2 + 1954*n - 1936*n as z*n**3 + p*n**4 + a*n + m + b*n**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + a - 750 = 51*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124708641*n + 64154314.\nAnswer: -124708641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - n + n)*(-4 - 14 + 3).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1, 3, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5*n**2 - 5. Let d(r) = 4*r**3 - r**2. Let q be d(-1). Let z be p(q). Which is the closest to 0.1? (a) z (b) 3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 524352?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 230?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*o - 21, -3325*x = -3330*x + 3*o + 35 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let q(y) = y**2 + 15*y - 20. Let m be q(-16). Let i(j) = -3*j - 2*j + 3*j. Let b(s) = -5*s - 1. What is a*b(h) + m*i(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/412 and 67\/38.\nAnswer: 7828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + m - 371 + 362 = 0, 2*t - 4*m - 24 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**2 + 2*v**2 + 2*v**2 - 2*v**2.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0 - 2*f + 5\/2*f**2 - 1\/240*f**6 - 1\/40*f**5 + 0*f**3 - 1\/24*f**4. Let z(y) be the first derivative of l(y). Factor z(q).\nAnswer: -q*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14580961 a multiple of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 74\/6 + 2\/(-6). Let n be ((-9)\/z)\/3*-2. Let o be 2 + (-48)\/40 + 322\/(-315). What is the third biggest value in -1\/4, o, -4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3, 541, -0.1493?\nAnswer: -0.1493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.5 (b) -2\/13 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27500 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.3726*2188\nAnswer: 3003.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18087953 and 58438002.\nAnswer: 759694026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-406)\/580*24\/(-7). Factor -8\/5*c + 0 - 26\/5*c**3 - 2\/5*c**5 + d*c**4 + 24\/5*c**2.\nAnswer: -2*c*(c - 2)**2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-3) + 6)*13. What is the greatest common divisor of t and 3809?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1 + 0)\/2. Let w = 93 + -95. Let f(y) = y**3 + 4*y**2 - 3*y + 7. Let h be f(-5). Sort w, x, h in descending order.\nAnswer: x, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + o**2)*(-41*o - 22*o - 2 + 95*o)*(3*o + 3*o - 7*o).\nAnswer: -32*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 - 3 = -2*d, -d = 3*k - 15. Suppose -d*j = -4*j. Suppose -126 = -4*b - 2*c + 6, j = -2*b - 5*c + 82. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 7*a - 10. Suppose 3*s - 5*s + 10 = 0, -3*s - 39 = 2*q. Let w be (0 - -1) + 8\/((-72)\/q). Put 5, w, a, -1 in descending order.\nAnswer: 5, w, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*y**3 - 32*y + 12426 wrt y?\nAnswer: 129*y**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 2250 - 2135 + 4385.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*9\/(-12)*56\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/8*(-2)\/((-10)\/65)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfljqfylqqqqjqq. What is prob of picking 1 l and 2 j?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 33*r + 35. Let y be w(10). Suppose m + 8 = -2*b, 4*m + 23 - 3 = -y*b. Which is bigger: m or 9\/14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 45 = -4*a, 69 = -5*a + d - 9. Let f = -7 - a. Suppose 3*r + 10 = f*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*36\/8*(-6)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 3*j**4\/2 - 6*j - 5. What is the first derivative of v(i) wrt i?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526006.1t to grams.\nAnswer: 526006100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 + 48*p = 0. Calculate p.\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 4*r. Let f be x(5). Let y = 11 + -9. Let o = -19 - -19.1. Which is the biggest value? (a) y (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5570 divided by -5681?\nAnswer: -5570\/5681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 20 - 10*o - 5 - 2*o**2.\nAnswer: -2*o**2 - 10*o + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b + 57. Let j(d) = 9*d - 52. Let q(n) = -4*g(n) - 5*j(n). Calculate q(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1846022483 divided by 1931.\nAnswer: -955993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4762*-225\nAnswer: -107.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4232, -8633, -13032, -17429, -21824, -26217, -30608?\n\"Answer: j**2 - 4404*j + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -61. Suppose -1 + 3 = p*x. Let s(v) = -3*v**2 + v. Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 0.032 (c) -0.01 (d) -0.5 (e) -3 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzkzznzkkzkjzzkkzzkz. What is prob of sequence znkn?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1756\/88 + (-1)\/(-22). What is the highest common factor of a and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 19 = -44. Suppose -f = -4*m + 43. Calculate the remainder when 61 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/12 + 683*u**3\/6 + 513*u**2\/2 - 368*u - 2. What is the derivative of b(g) wrt g?\nAnswer: -2*g + 683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 9 = -p. Let h be (p\/(-3))\/((-1)\/6). Suppose 0 = -4*n + 5*x - 1, 4*x = -5*n + 3*n + h. What is the highest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 767 + -412. Suppose 32 = -347*w + y*w. Sort -7, 3, w.\nAnswer: -7, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2926953.\nAnswer: 585390.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 324.68 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.213 - -1.187. Let x = -2340\/7 - -334. What is the nearest to r in x, 2, 1\/3, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25*r + 50. Is c(4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 + 7*a**3\/3 - 5*a**2\/2 - 40*a. Let s = -50 + 70. Calculate the least common multiple of l(13) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332\/(-224) + (-2480)\/372*6\/(-64)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 44*x**2 - 245*x - 62. Calculate d(49).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 506\/9 + -11674\/207. Does m = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = z + 5*i, -3*z + i = 33 + 277. Let a = z + 154. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00614 to four dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 11*b - 61. Give g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:51 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v**2 + 3*v + 20. Let s be x(8). Let p = s + 1038. List the prime factors of p.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldkk when four letters picked without replacement from {l: 2, x: 3, d: 7, h: 1, s: 2, k: 3}.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-65)\/260 + 3\/(-12)*-18289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:04 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*n = -12, i + 5*n + 11 = -1. Which is the third smallest value? (a) 1 (b) -0.4 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 3. Let j(w) = 11*w**2 + w - 8. Suppose -7*f - 15 = -3*k - 4*f, -44 = -4*k - 4*f. Give k*u(t) - 3*j(t).\nAnswer: -t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012100201 (base 3) to base 13.\nAnswer: -436c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4 + 4)*(-5 + 8 + 9)*(-4 - 2*o + 4 + (1 + o - 1)*(4 - 1 - 2) + 4*o - 2*o - 4*o + (2*o - 4 + 4)*(2 - 4 + 1)).\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 2. Let x = -34 + 28. Let s = 753 - 751. Which is the closest to x? (a) -2\/7 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (-6*(sqrt(1100) + sqrt(1100)*-1)*4 - (2 + (sqrt(1100) - ((sqrt(1100) + 0 + sqrt(1100))*-1 + sqrt(1100) - sqrt(1100)))))*-6)**2.\nAnswer: 2880*sqrt(11) + 356461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -29*t + 3*d + 28, 4*t - 4*d - 24 = 0. Let b(l) = 2*l + 3. Let y(v) = -v**2 + 5*v + 6. Determine t*b(s) - 2*y(s).\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4356 + -5?\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799414.\nAnswer: 2, 7, 11, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 11*o. Suppose -3*z - z + 2*p = 54, -5*p = -15. Let v(c) = 14*c + 5. Let u(x) = -34*x - 12. Let i(q) = z*v(q) - 5*u(q). Determine i(j(l)).\nAnswer: -8*l**2 - 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.92 + 1720299075.\nAnswer: 1720299072.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-90))\/(2\/5). Let n = 23 - 13. Suppose -199*h + 189*h + 30 = 0. What is the fourth smallest value in n, -2, a, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2 + 11624*t**2 - 5631*t**2 - 5550*t**2. Let b(f) = -2*f. Give b(v(l)).\nAnswer: -886*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqwqwqqqqqqqqqquwqq. Give prob of sequence wu.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 1, d: 4}. Give prob of sequence dd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004656788 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 3, m: 3}. What is prob of sequence gmk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -1, 5, -0.5.\nAnswer: -1, -0.5, 10\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 126*v**2 - 713*v - 7. Calculate z(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*r + 8*r. Suppose 25 = -0*x - r*x. Put 4, x, 1 in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 6)*(5*q - 3*q - q) - q + 0*q - q + 0*q + 4*q - 3*q + (q + q - 3*q)*(5 + 1 + 0) - 6*q + 5*q + 0*q to the form n*q + i and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3603959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -14. Solve -2*j + 0 = -4, -u = 2*x - 5*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/800369201 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 1. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33075765.\nAnswer: 3, 5, 149, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtt when three letters picked without replacement from qqqtqqqtqtqqqqq?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 13038?\nAnswer: -56\/6519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 31*q**2 + 22*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 136*g - 5750. Let p be l(-68). Which is smaller: -14999 or p?\nAnswer: -14999","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 8 - (343 - 331).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i. Let m(t) = t - 7. Let h be m(7). Suppose -2*f + 95 + 109 = h. Let x(u) = -f + 102 + u. Give s(x(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4263*11.1\nAnswer: 47319.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, 1 h, and 1 k when four letters picked without replacement from {u: 2, p: 1, k: 5, h: 2, f: 2, m: 2}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2 - 36. Let x(c) = -179*c + 114. Calculate t(x(y)).\nAnswer: 192246*y**2 - 244872*y + 77940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 - 4 + (1 - 4 + 1)*(-4 + 4 - 2) - 2 + 2 - 1)*(p**3 + 5*p**2 - 5*p**2) as h*p + w*p**2 + d*p**3 + l and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 134 + 64 + 12*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -269851045 divided by -5\nAnswer: 53970209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 61. Let z = 31 - y. Solve 3*p + 5 + z = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**4 - 2425*p**3 - 205805*p**2 + 22900605*p + 23103990 = 0.\nAnswer: -273, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/49125 and -43?\nAnswer: 49125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5\/7 - 148*m**4\/7 + 44*m**3 - 156*m**2\/7.\nAnswer: -4*m**2*(m - 1)**2*(m + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 11:22 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02865323 to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 79*l**2.\nAnswer: 79*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-20)\/6*-1). Let u = -3751\/2247 + 2\/749. Put u, -4\/3, c in ascending order.\nAnswer: u, -4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 + 0 + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31470122 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 6 + 3)*(7 - 3 - 2)*(3017*s**3 - 3345*s**3 + 3485*s**3) in the form i*s + j*s**3 + p*s**2 + y and give j.\nAnswer: -31570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m - 125 + 125 in the form o*m + b and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-6)\/sqrt(2).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3777723 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 2*t**3 - 92*t + 93*t + 107*t**2 in the form d*t**2 + l + f*t**3 + v*t and give d.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2. Let j(w) = 1598*w - 63*w**2 + 2 - 1598*w. What is s(j(z))?\nAnswer: 11907*z**4 - 756*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78351 and 3283?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3796 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76453\/854 + -10\/427. Let y = k - 88. Which is the smallest value? (a) y (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1647*k**2 - 16*k - 6 - k**3 + k**3 + 3298*k**2 - 1649*k**2 + 4*k**4 in the form x + d*k + l*k**3 + v*k**2 + h*k**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 42354426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -269, 325, -14, -2 in increasing order.\nAnswer: -269, -14, -2, 2, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/i**33*i*i*i)\/i)\/i)\/i)\/i**(10\/7))**1 assuming i is positive.\nAnswer: i**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10001 or -10007?\nAnswer: -10007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 3, 7, 2, -2, -136 in decreasing order.\nAnswer: 13, 7, 3, 2, -2, -4, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-5)\/5)\/(-1))*(-44)\/220.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.3 (c) -50 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31000 (base 5) to base 9\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 846880, 846899, 846918, 846937, 846956?\n\"Answer: 19*m + 846861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121 - -158. What is the remainder when d is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 + 106*k - 221. Calculate p(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2 + sqrt(68)\/(sqrt(16) - sqrt(4)))*-1 - ((sqrt(425) + 0)*-3 - ((-1 + sqrt(425) - sqrt(425))*3 + sqrt(425)))))**2.\nAnswer: -608*sqrt(17) + 98208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(38\/12) + -5 + 2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-6)*(-3981)\/10616\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-2)\/4 - (-350)\/(-28)). Calculate the highest common factor of 416 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31510005229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1518, -6113, -13784, -24537, -38378, -55313, -75348?\n\"Answer: -l**3 - 1532*l**2 + 8*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 + 15*v + (2 - 2*v - 2)*(-3 + 3 - 1))*(-2 - 2*v + 2) as u*v + q + s*v**2 and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4702 + 65777\/14. Let z = 20231 - 364019\/18. Calculate the common denominator of r and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001149442 to 7 decimal places.\nAnswer: -0.0001149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747612249?\nAnswer: 3, 249204083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15843 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-594)\/(-396))*3\/(-222)*12?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 121051121 (base 6) to base 16\nAnswer: 22fc99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 2*h**3 - 2 - 2*h + 3*h + 0 + 3*h. Let o be f(2). List the prime factors of 14 - 2 - 6\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 + 2*p + 15. What is a(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 15)*(2*x + 3 + 2*x - 4).\nAnswer: 12*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 220*p**3 - 76. Let k(c) = -20*c**3 + 7. Suppose -16*z = -15*z - 32. Let v(r) = z*k(r) + 3*j(r). Differentiate v(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3026 - 3024.721. Let x = y - 0.279. What is the nearest to -1 in x, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 25 = -6*c. Let q = c + 3. What is the greatest common factor of 24 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2017, 1075, -557, -2927, -6083, -10073, -14945?\nAnswer: -20747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 35*f - 60. Calculate s(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from hssisbibsh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 151, -323794 in decreasing order.\nAnswer: 151, -3, -323794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(6 - (-72)\/(-10)) + (-56)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 2*p. Suppose 0 = p*g - g - 98. 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 remainder when 6422 is divided by 2137?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c**2 + 11*c + 16. Let n(s) = -10*s**2 - 7*s - 10. Let p(v) = 5*j(v) + 8*n(v). Let u = -4 + 3. Determine p(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 9*t = -7810. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 966 and 571872.\nAnswer: 571872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1*(3 - 3). Let p(j) = 5 + 13*j**2 - 14*j**2 - 1. What is p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -33.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/26 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 25. Factor 13*g**2 - 6*g**2 + d*g**2 - 5*g**3 + 15*g.\nAnswer: -5*g*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65210 at most 65209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848998 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(100\/(-50))\/(-1*2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-19 + 19) - 19\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 2, r: 1, i: 2}. Give prob of sequence vr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919 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: Let r = -11.5 + 12. Let c = -5 - -4.49. Let f = r + c. What is the third smallest value in 3, 5\/6, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, k: 2, r: 4, c: 1}. Give prob of picking 1 d, 2 r, and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -3 (c) -2\/91 (d) -7\/5 (e) 5 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (0 + 9)) + 1 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 447335559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 43.26906 hours?\nAnswer: 1.8028775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 - 7623\/(-294) - 332166\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25143 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57.8 and -3458.6.\nAnswer: 199907.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193, 0, -3, 4.\nAnswer: -3, 0, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 25386081?\nAnswer: 25386078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 46. Suppose -x = -26 + 3. Let d = i - x. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2365*i + 8704 + 99768 = -318 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by -2\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 10*q**5 - 2166*q**4 - 7528*q**3 + 10456*q**2 + 22848*q + 7040 = 0.\nAnswer: -4, -1, -2\/5, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-6)\/2)*((-2912)\/(-294) + -10). Let h = 1 - 0.9. Let s = -61 + 62. What is the biggest value in s, c, h, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58471955?\nAnswer: 5, 11694391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)*2 + 877. Suppose -433 = -12*c + n. Suppose -4*f + c = 25. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 14*b - 39. Let m(q) = 34*q + 561. Let c be m(-16). Let r(f) = -f**2 + 5*f - 13. Give c*r(i) - 6*g(i).\nAnswer: i**2 + i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373679 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/((v**2*v*v)\/v))\/v)**(-36)*v**(-3\/4)*v**(-1\/5))**(1\/6) assuming v is positive.\nAnswer: v**(701\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(30))\/(3*(sqrt(6) + sqrt(54))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i\/(i*i*i\/(i**3*i))*i))\/i)**(-28)\/((i\/(i**(-2\/33)\/i))\/i*i*i**(-4\/11)*i))**(-3\/13))**(-23) assuming i is positive.\nAnswer: i**(40457\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 15. Let a be t(8). Suppose -2*q - 5*i - 6 = 2, 8 = -2*q + 3*i. Let o = q + a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361165 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h - 48. Let n be j(-5). Let u be (2\/n - (-196)\/42) + 31. Which is smaller: u or 36?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let m = -0.05 + -1.95. What is the second smallest value in a, m, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -21\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2\/11 + 30*r\/11 - 50\/11 = 0.\nAnswer: 5\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(30\/4 + (-19 - (10 + -22)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -g - 20 - 0, 2*g = 5*a + 20. Solve g = 2*c + 2*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 19*s**2\/3 - 29*s - 40\/3 = 0.\nAnswer: -8\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -2 - (129 + -121)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -43 and -39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)*16\/(-12). Let w = 13 - 8. Find the third derivative of -2*d**2 + 0*d**2 + 2*d**w + u*d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 3056.\nAnswer: 21392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 317 - 66. Let p = 364 - r. Let o(q) = -18*q + 2. Calculate the remainder when p is divided by o(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87290, -87287, -87286, -87287, -87290?\nAnswer: -87295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.443 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 5*t - 5*t)*(t + 0*t - 3*t) + (-3*t**4 + 0*t**2 + 0*t**2)*(4 + 18 + 9).\nAnswer: -97*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - -1*2\/2. Let v be (-2)\/7 + 142\/m. Suppose -z + r + v = 0, -25 + 0 = -z - 4*r. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18797543.\nAnswer: 197, 95419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 46730 = -6*z. Let l = 112019\/12 + z. What is the common denominator of l and 31\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*j**2 + 56*j + 3.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2366 = 218*i - 556*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 9, 16, 25, 36, 49?\n\"Answer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*3)\/(sqrt(196)*-1 - sqrt(196)).\nAnswer: -15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 3*w = 23*y - 2007, 0 = -3*y + 2*w - 2012. Let s = 77 - y. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 - 68*n**4 + 132*n**3 + 9032*n**2 - 28546*n - 91140 = 0. Calculate n.\nAnswer: -31, -15, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3\/5, -126\/31, -83 in ascending order.\nAnswer: -83, -126\/31, -4, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpwwqoo. What is prob of sequence vowq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 2155268\nAnswer: 6465804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, s: 2}. What is prob of sequence spsp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 211*a**2\/2 - 1. Let q(j) = 38*j + 564. Let u(h) = -66*h - 987. Let c(l) = -7*q(l) - 4*u(l). What is n(c(t))?\nAnswer: -422*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47208 is divided by 696.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/6 of a hour?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*i + 18. Suppose -2*c = -5*c + 4*v + i, -5*c + 5*v + 15 = 0. Solve c*b + 3*b = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, 231, 0 in decreasing order.\nAnswer: 231, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188466 divided by -101.\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd55 - -17?\nAnswer: bd6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -0*q + 3*q, -5*q = x + 24. What is the fourth biggest value in 0.1, 1\/5, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.252 + 0.152. Which is the fourth biggest value? (a) 0.3 (b) -3 (c) u (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d**2 + 55*d + 11. Give h(-4).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7608.687 seconds in microseconds?\nAnswer: 7608687000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104000 - 116?\nAnswer: 103551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 2 - 12*a**4 + 0*a + a + 0*a**3 + 13*a**4 as g + l*a + d*a**4 + h*a**3 + w*a**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 3*h - 2. Let k = -12 + 30. Suppose -2*u - 31 - k = -z, 0 = -u - 2. Suppose -z*y = -47*y + 4. Give p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 5. Let g be 3 - (r - -1)\/1. Find the second derivative of n + 0*n + 0*n**4 - 2*n**g wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 4*g - 8. Let z be b(-6). What is the greatest common factor of 40 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/9 + -125\/306. Let n = -58\/19 + -1155\/76. Find the common denominator of n and t.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*o - b + 15, 3*b = 2*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*((0 + 0 + 2)*(3*w - w + 0*w) + 2*w - 1 + 1 + 5 - 5 + 3*w)*(-19*w + 17*w - 1043 + 262).\nAnswer: 18*w**2 + 7029*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 31 = -3*q, -4*h = -2*h + 4*q - 4. Let b be (1 - 3) + (-17)\/h. What is the second biggest value in 2, 3, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 - 3 = 0. Let x(b) = -b + 1. Let z(g) = -g**3 - 11*g**2 + 15*g + 7. Let n(l) = s*z(l) + 6*x(l). Is n(-12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 2*r**2 - 2*r - 2. Suppose -802*u - 2 = -803*u. Let k be s(u). Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*j + 20 = 0, j - 434 = -430 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 1290*y**2 + 38984*y - 72792.\nAnswer: -2*(y - 27)*(y - 2)*(y + 674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.079 to 1 decimal place.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17113595221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 8*f + 4*f + 15 = 0, -4*f + 7 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64\/931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)\/(m\/m**(-1\/16)))**(1\/13) assuming m is positive.\nAnswer: m**(-69\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 + 4140*q**2 + 4284900*q = 0.\nAnswer: -2070, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 717 = 4*z - 34*s, -3*s - 171 = -z. Suppose 4*o + 276 = -212. Let i = o + z. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*k = 149, -3*k + k + 722 = 5*b. What is the common denominator of (-6)\/27 + 833\/b and (-71)\/22 + 1 + (-45)\/55?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 10. Suppose -g*y = -3*y - 84. Calculate the highest common factor of y and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.97 + 0.03. Let i = -13.9 + 14. Is a at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-475)\/(-171) + 4\/18. Suppose -173 = -0*k - 2*k + l*g, 3*k - 3*g - 261 = 0. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 371 + 174. Suppose -8 = -4*m, k - c = 3*m - 2*m. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - 0.307.\nAnswer: 0.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-25)*t*t\/t**41)**(9\/8))**46 assuming t is positive.\nAnswer: t**(-2691\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-25))\/((-35)\/(3150\/(-72)))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/12)\/((-3)\/(-60)). Let r = z + -19. Suppose 82 = 3*c - 0*c - 4*s, -68 = -2*c - 4*s. Calculate the remainder when c is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*y = 3*w - 291*y - 393000, 0 = -3*y. Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:44 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let g(h) = h - 2*h - 5 + 11 + 4. Let q be g(8). Let r(x) = 2*x - 4*x - 11*x + q*x. What is r(k(y))?\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 15\/9)*6. Let x(l) = 32*l**2 + l + 1. Let v be x(-1). What is the highest common factor of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3*(-26)\/(-52)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 + 2*t + 1. Let q be x(0). Let l = -3\/37 - -49\/148. Let z = q - l. Which is the smallest value? (a) z (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5129\/1491 + -180\/71. Let f = -5\/21 + t. What is the second smallest value in 4\/13, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -156\/7. Let x be 72\/(-30)*20\/(-6). Let n = 19\/2 - x. Which is the closest to 0.2? (a) f (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 4*l + 8, 372*l - 376*l - 16 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46 + -118?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 + 82706598096.\nAnswer: 82706598404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + -8 + -11 + 12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14526, 6\/11, 5, 1\/10 in descending order.\nAnswer: 14526, 5, 1, 6\/11, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 394.74925\nAnswer: -11447.72825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/12 not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in -13, 3, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10943164 rounded to three dps?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 350 + -189. Suppose 0 = 3*d - 22 - w. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*n*p - 894*f*n - 4*f*p + 11*p - 1 wrt p?\nAnswer: 2*f*n - 4*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20012 is divided by 106.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + z**2 - 189 - 3*z + 356.\nAnswer: z**2 - 3*z + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from iviceamv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 3. Suppose -g - 4*f = -13, -f + 2*f - 13 = l*g. List the prime factors of 2\/g + 128\/12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 less than 537.44?\nAnswer: 611.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(9 + r - 3*r + 4*r)*((0 + 1 + 0)*(0*r + 3*r - 5*r) + r - 4*r - 8*r) as f*r**2 + j + k*r and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 13*a**2 + 54*a + 76. Let f be o(-4). Solve x - 21 = -3*r - 25, 0 = -3*x - f*r - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 8*b - 14. Let u = -9 - 2. What is the units digit of s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 divided by -10568?\nAnswer: -311\/5284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/826 and -79\/1180.\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 5:39 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-400)\/(-18) - (-36)\/(-162). Suppose -27*x - 3 = -r*x. Let f be ((-2)\/(-4))\/(1\/6). Put -4, f, x in descending order.\nAnswer: f, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7*1\/6)\/(1946\/556)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (696\/(-10208))\/((2\/12)\/(5*20\/675)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*d = 198*d - 46515. What are the prime factors of d?\nAnswer: 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -19*r**2\/2 - 1117. Let f(a) = 273*a. Let k(t) = 17*t. Let b(j) = -2*f(j) + 33*k(j). Calculate g(b(o)).\nAnswer: -285*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -47 (c) 2 (d) 10163 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 6 + 5*z**3 - 5 + 19*z**3.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 - j. Let b be f(-4). Suppose -1356 + 488 = -b*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2850.5 + 2851. Sort -1, -7, -3, y in decreasing order.\nAnswer: y, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(80\/(-10))\/48*(-76)\/95.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/6 + 41189*u\/3 + 82379\/6 = 0. What is u?\nAnswer: -1, 82379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/20 + a**4\/12 + a**3\/6 - 3*a. Let q be c(-1). Let z = q - 9. Are z and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekkeheeyyhhkgekke. Give prob of picking 1 e, 1 y, and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*s = 80 - 24, -4*q + 2*s = -64. Suppose -8*c - 5 = -5. What is the remainder when (22\/2 + c)*(-9)\/(-3) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*m + 50, m - 24895*u + 24883*u = 135 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 4. Let m be y(7). Let q = -6.8 - -7. Let h = q - 0.16. Which is the second smallest value? (a) m (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b, -2*b = -4*a + 2*b. Suppose -z + 8 - 1 = s, -a*z = -4*s + 10. Suppose 3*i - 15 = -0*i. Solve 2*r + 28 = -z*k + 7*r, k - 24 = -i*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 102, 129, 140, 129?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419682.\nAnswer: 2, 3, 113, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-4*5)\/(sqrt(72)\/sqrt(6)*3)*-6)**2 + 0.\nAnswer: 51200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 - 4*f**3 - 24*f**2.\nAnswer: 4*f**2*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 18 - (-2 + 9)) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2 - 18*k**2 + 7*k**2 + 2*k**2 to y + d*k**2 + s*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -4) + 1 + -1. Suppose 5*d + 4*s = 40, d = f*d + 4*s - 24. Calculate the highest common divisor of 64 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*w + 9, 4*w - 10 = -3*d - 0*d. Which is smaller: d or 19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1165*b. Let u(d) = -355*d. Calculate o(u(y)).\nAnswer: -413575*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 41*b = 2*g - 13683, -5*b = -g + 6848. 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 next in 4118, 4023, 3872, 3671, 3426, 3143?\nAnswer: 2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 6 = 10*l. Let t(q) be the first derivative of 1\/4*q + 1\/16*q**4 - 3 - 1\/12*q**l - 1\/8*q**2. Solve t(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1200 and -83\/300?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-7)\/(28\/(-16))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/648 and -127\/240.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 0 + 4*z**2 + 1\/21*z**7 + 4\/5*z**5 + 126*z - 3*z**3 + 1\/3*z**4 - 2\/5*z**6. Factor s(d).\nAnswer: 2*(d - 4)*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Let b(c) = -c**2 - c + 2. Let h be b(d). Suppose 0 = -h*x + 2*x - 22. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3415*t - 3409*t = 6864. Let s be t\/69 + (-38)\/(-437). Factor 5*f - 5\/3*f**2 + s.\nAnswer: -5*(f - 5)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -38. Let t be 3*1\/6*-2. Let v = n - t. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2*i**2 + 134*i - 134*i + (-i - 2*i + 2*i)*(-2*i + 0*i + 0*i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6534, 6539, 6544, 6549, 6554, 6559?\n\"Answer: 5*b + 6529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 68.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*q + 9*q - 16, 0 = 4*a - 12. Solve 0 = g + 4, 0 = q*r + 18*g - 15*g - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -18. Suppose 814*d - 170 = 804*d. Solve -y*c + k + 25 = 0, 0*k + k + d = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/44 and 17\/760?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-480) - (-4)\/(-24))*-5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) + (-16 + 5)\/55\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z)\/z)**(1\/28)*(z**(-1\/2))**(-7)*(((z*z\/(z*(z*z**2\/z)\/z))\/z)\/z**(1\/10))**(-2\/25) assuming z is positive.\nAnswer: z**(897\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -18*c + 1. Let x(h) be the second derivative of -h**4\/6 - h + 3. Determine z(x(w)).\nAnswer: 36*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*o - 22*o - 36*o + 124*o to the form b + h*o and give h.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -11.87, -1\/5, -0.1 in decreasing order.\nAnswer: -0.1, -1\/5, -4\/3, -11.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -940*t**2 + 764*t - 5. Let u(d) = -1882*d**2 + 1528*d - 12. Let j(f) = -5*n(f) + 2*u(f). What is the second derivative of j(m) wrt m?\nAnswer: 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 2\/9 (c) -0.1 (d) -5\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 + 2*u**3 - u**3 - 9*u**2 + 3*u + 16*u**2. Let z be s(-6). Solve n - z = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 >= 2368\/631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -193, -559, -1123, -1879, -2821, -3943, -5239, -6703?\n\"Answer: z**3 - 105*z**2 - 58*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1 + 17 - ((5 - 21) + 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 611*g = 1839 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88969 + 88921.927. Let g = 47 + v. What is g rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(22\/17) - 1. Suppose -19 = h - 18. What is the closest to h in -5, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64966799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - s = s - 8, -5*u = 4*s - 14. Let f(k) = k**3 - k**2 - k + 3. Let i be f(u). Solve i*n + 6 = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1112 - -4491\/4. What is the common denominator of 49\/36 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 3764376880?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016729 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -453.99999727 - -454. Round x to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 6. Suppose 17 = 5*l + 3*u + 4, 0 = l - z*u - 13. Calculate the remainder when 13 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*d + 10, d = 4*n - 4*d - 28. Suppose -m = u + 1 + n, 3*u = 3*m + 15. Let i = m + 7. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -14*p**3\/9 - 4*p**2\/9 + 14*p\/9 + 4\/9 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7264665 and 1233.\nAnswer: -7263432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 34 = -2*i, -2*d = 238845*i - 238843*i + 22 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/28 and 11\/18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + z**3 - 6*z**2 + 12*z - 2974 - 5*z.\nAnswer: z**3 - 6*z**2 - 2*z - 2974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -i + 1 + 7, -16 = 4*v. Let g(l) = -l + 8. Let a be g(i). Determine k, given that k**2 + 0 - a*k + k**2 + 8 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597233.\nAnswer: 7, 13, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -15*p + 2*b + 37, -2*p + 3 = 3*b. Solve -7*q = -p*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1374 + -1371. Which is the nearest to 0.2? (a) -4 (b) -9\/13 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b3 (base 12) to base 5.\nAnswer: -10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 47, -2.2 in descending order.\nAnswer: 47, 0.7, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p - 6. Let l be 2*p*2\/(-6). Let w(a) = -7 + 1 - 3*a + 5*a. Give w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 4, 1\/3, -2\/12831?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-297)\/198*(-606)\/63 - 3\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 5. Suppose -w - 4*m = -9, 2*w = c*w - m - 24. What is the remainder when 7 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 + 19825*u\/6 - 2421001.\nAnswer: -(u - 19063)*(u - 762)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - -1) + 47 + -42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 59. Let z = -13 - f. Suppose u = -3*u + z. Solve -4*k + 4*j = -3*k - 11, 3*k = -j - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.637545 years in millennia?\nAnswer: 0.003637545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 5*j - 125, -q + 19 = j. Let u(i) = 2*i**3 - 4*i**2 + 4*i - 2. Calculate the remainder when j is divided by u(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -11731.41.\nAnswer: 1173.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7300\/(-1168))\/(((-7)\/4)\/(-7)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + 13.5. Which is the third biggest value? (a) r (b) -3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 543 and 3.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*n)*(-1 + 1 + 4*n**2) + (2*n - 2*n + 2*n)*(0*n + 3*n**2 + 0*n).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -1961538578.\nAnswer: 1961538581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqyybiybbi. What is prob of sequence yyb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 9. Suppose -4*t + s*t = 120. Let a = 11 - 3. What is the greatest common factor of a and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*f**3 - 2 - 8*f**3 - 12*f**3 with respect to f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((sqrt(72)*-1)\/sqrt(9)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -394 in 16, 1, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -41, -76, -135, -224, -349, -516, -731?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 33. Let a = 1 - b. Let d = a - 23. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -9*q**2 - 16*q - 11 + 2\/3*q**3. What are the prime factors of y(13)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 148 = 13*m + 37*m + 914 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c**2 - 5496*c - 1568 = 0.\nAnswer: -196, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 516*q**2 + 524*q**2 + 519*q**2 - 275 - 1556*q**2 as c + k*q + g*q**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29e - 5?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*q - 31, -3*h - 18*q = -13*q + 16 - 71 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 3*w**2 - 2. Determine p(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/t*t**(7\/5)*(t*t**(2\/3))\/(t**(-12)\/t) assuming t is positive.\nAnswer: t**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -153\/1820 and 43\/161355?\nAnswer: 58733220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z + 57. Suppose 42*w + 13*w + 40 = 260. Calculate h(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2752169 + 1862800. Let f = j - -469369. What is f rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*n + 5*u, -2752*n + 5*u - 12 = -2753*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.95 + 893.25. Let m = i - 918. Let y = m + 95. Round y to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-1 - 3 - -4)) + 38 + -35\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6 - 2*u**6 + 71*u**3 + 185*u**2 - 549*u**2 + 2*u**6 wrt u.\nAnswer: 120*u**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -35. Suppose -4*p = 4*q + z, -3*q = 5*p + 4 + 4. Let i be (-12)\/4*154\/q. Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 27*g + 114. Let y be q(13). Let o be (-162)\/y*5*24\/180. Is 1 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56234 - 24593. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 - 2*i**3 + 16*i**3 - 2 - i**3.\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 4) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 264 = -132*a. Put 4, -47, a, 2 in decreasing order.\nAnswer: 4, 2, a, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x**5 + 0*x + 7\/5*x**6 + 0 - 11*x**2 + 0*x**4 + 179\/6*x**3. Differentiate f(w) with respect to w.\nAnswer: 504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -2*b - 50 + 10 = r. Let t be 12\/b - 106\/(-10). Which is greater: t or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*(-32)\/(-8)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, m: 4, u: 6, o: 1, y: 2, v: 2}. What is prob of picking 1 v, 2 u, and 1 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 751936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqsqqqqssqqqqqqsqq.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w*w\/((w\/((w\/(w**(-4)\/w))\/w))\/w*w)*w)\/w))\/w)\/w*w\/w**2 assuming w is positive.\nAnswer: w**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 13*w**2 + 8*w - 48. Suppose 5*a = z + 7, 2*z - 4*a = -10 - 10. Calculate u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(108)*5)**2 + -1 + -1 + -5 - (4*(5*sqrt(192)*1 + sqrt(192) - sqrt(192))*-5)**2.\nAnswer: -1917124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 6 - 4)*(13*k - 4*k - 7*k)*(-2 + 3 + 3) as t + u*k and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/12 - 2*f**3\/3 - 17*f**2 + 3*f. Give r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131800 and 473821?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*i = 34, -10*i = -5*v - 8*i + 39 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 20. Suppose y - p*y + 42 = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2835 - -0.287186. What is u rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/26 and 23\/2696.\nAnswer: 35048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 93960*x**3 - 92918*x**3.\nAnswer: 1042*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11889 + -11223. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3007*g + 14474 + 15545 + 12079 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 5*q + 2*q - q - 2*q + (q + q + 0*q)*(4 - 5 + 3) - 2*q + q - q - q + 3 - 3 + q + 1 - 1 + 2*q - 2*q + 2*q + 9*q + 3*q - 4*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18\/7)*w\/(w*(w\/(w\/w**23)*w)\/w) assuming w is positive.\nAnswer: w**(-179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*x - 14823 - 4374 = 92*x + 531 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23079?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 63664.\nAnswer: 127328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2)\/(46\/(-230)) + 69705 + -25?\nAnswer: 3, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*j = -24, -j - 8 = 4*b - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 372?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842699?\nAnswer: 11, 13, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -8496 and -9643 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3864\/129 + 222\/4773\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(357) - (5*(2*sqrt(357) + sqrt(357)) + sqrt(357) + sqrt(357)))\/(sqrt(112) + -2*sqrt(112)))\/((sqrt(90)\/sqrt(24))\/(sqrt(45)\/(sqrt(18)\/sqrt(2)))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**3*j*x + 2*f**3*j - 184*f**3*x**3 + 16*f**2*j*x**3 + 2*f**2*j*x - 2*f**2*x + j*x**3 - 1 wrt f?\nAnswer: -48*j*x + 12*j - 1104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 124\/(-30))*(-30)\/(-171). Let l = n + -781\/17784. Find the common denominator of l and -19\/20.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 31*v**2 + 10*v**2 in the form m*v**2 + j*v + d and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 30 - 13 = 3*y, 3*y + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5084\/3 + -1690. Which is the nearest to 0.1? (a) -3 (b) 2\/11 (c) -3\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3079 (base 13) to base 9\nAnswer: -10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) - (-3)\/(-4). Let l = -369 - -363. Let b be ((-3)\/(-9))\/(c\/l). Solve b*x - 6 = 0, -5*p + 7 = -3*x - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 288\/5. Which is the fourth smallest value? (a) j (b) -3 (c) -0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, 0.5, -38 in ascending order.\nAnswer: -38, -3\/2, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3395 divided by -3.\nAnswer: -3395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123342 divided by 2?\nAnswer: -1061671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {j: 1, l: 1, r: 1, s: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -9 + -26 - -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33897 divided by 12.\nAnswer: -11299\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731341?\nAnswer: 13, 101, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syy when three letters picked without replacement from scfssswyyssssysssws?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/30 + 262*h**5\/15 + 17161*h**4\/6 + 92*h**2 - 27*h. Factor n(f).\nAnswer: 4*f*(f + 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 - -54 - (1 + -23 + 7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 854068 and 6405510.\nAnswer: 12811020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 6970*z.\nAnswer: z*(z + 6970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(-17 + 3*r + 17) in the form g + x*r and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2 - 95*o - 450 = 0. Calculate o.\nAnswer: -10, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.59 + -0.01. Suppose 8*x = 5*x. What is the nearest to x in k, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225 - -212. What is the third biggest value in -12, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1.11 (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 579635030 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z*z**(-4)))**45 assuming z is positive.\nAnswer: z**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:17 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -20. Let g be -22 + 26 - m*11. Suppose 0 = 18*q - g*q - 42. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1.21?\nAnswer: -0.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 2. What is the lowest common multiple of v(-4) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 7*g**2 - 4*g - 2. Let b be n(7). Let o be (-2)\/(-10) + (-114)\/b. Let y = -4 + o. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 35342 - 10539 = 0. Is 97 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 29*q**5\/30 + q**4\/24 - 91*q**3\/6 - 85*q**2 - 2. What is the second derivative of p(d) wrt d?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -93173*n**3 + 69*n - 10611. Let q(k) = 6656*k**3 - 5*k + 758. Let x(p) = -29*q(p) - 2*r(p). Find the second derivative of x(o) wrt o.\nAnswer: -40068*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/7, -8, -3, -1\/5172?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(432) + 2)*-4 - (-5*sqrt(24)*-1)\/(sqrt(16)\/(sqrt(2) - sqrt(32))))*-4)**2.\nAnswer: 8448*sqrt(3) + 53296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 122, 3, -39.\nAnswer: -39, -32, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:22 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119\/18 + 79\/63. Calculate the common denominator of o and 77\/2136.\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -830087 (base 9) to base 4.\nAnswer: -1320021322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129498 divided by -382.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -9426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -j - 3*a - 9 + 32, -5*j - 9 = 6*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let k(b) = -22077 - 17*b - 39*b + 22078. Calculate k(m(d)).\nAnswer: -112*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5*1\/95)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -5*y + 583, -5*y = 4*h - 581. Suppose -y*r - 1060 = -122*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 11. Let r(i) = -i + 17*i - 11*i**2 + 2 + 8*i**2. Let f be r(5). Solve z + b = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + p - 2*p - 5 - 32 + 12.\nAnswer: -p - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 731 and 258.\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -0*i + 8, 3*i + 16 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 12) in base 8?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183323824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.2 (c) -1\/143 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1408*j + 709. Is v(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/3704 + 14801\/18520. What is d in -2\/5*d**2 + r*d + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1071*v + 7. Let p(i) = -1067*i + 6. Determine -4*p(a) + 3*q(a).\nAnswer: 1055*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 266 - 274. Let t = -59 - -59. What is the nearest to -2\/7 in t, -2, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -5 - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2)\/((-2)\/(-1)). Let z be -4*b\/4*2. Let m be z*(0 - (-42)\/4). What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 27*w**2 + 25*w + 741. Determine s(-24).\nAnswer: 1869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 13*c + 76. Sort c, 4, 3 in descending order.\nAnswer: c, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-15))\/(s*(s*s**(11\/6)*s)\/s*s*s))**15 assuming s is positive.\nAnswer: s**(-595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 8 + 7. Suppose 476 = q*b - 2*p, 5*p = -3*b + 4*p + 473. Let m = 277 - b. List the prime factors of m.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/7, -6, -137\/25, -0.4, -0.02, 18?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjffjjffjffjjjffj. What is prob of sequence jfj?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8728640 divided by 16.\nAnswer: -545540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - 404\/(-6). Let x(g) = -g**3 + 9*g**2 + 11*g + 13. Let p be x(9). Let i = p - h. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78067778?\nAnswer: 2, 39033889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46373? (a) 0 (b) 4 (c) 19 (d) -0.5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -9\/2, 3, 22926\/13 in decreasing order.\nAnswer: 22926\/13, 3, -2\/9, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose 0 = -2*c - 2*j + 60, 2*j = -2*c - c + 85. Suppose m = 2*w - 4*w + c, 0 = h*w + m - 39. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 - 4)*(3*u + 2*u - 3*u) + u + 0*u - 3*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 4*n)*(0 - 3 + 0)*(18*n + 256 - 256).\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d - 6. Is i(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6*i + 17 = 3*i, 0 = -3*g + 3*i - 3. Put g, -4, 8, -2 in decreasing order.\nAnswer: 8, -2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1719737*r**4 - 10455*r - 2?\nAnswer: 20636844*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5050 and -4?\nAnswer: -20200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*b + 5*z - z, 2*b + 3 = -z. Is b < -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24296 divided by -3037.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 2*s + 638. Suppose 3*q - 8 = q, 4*g = 3*q + 452. Suppose 0 = a + 3*a - g. What is the highest common divisor of a and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10974363 divided by 4?\nAnswer: -10974363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**4 - 1643*q**2*s + 17222*s wrt q?\nAnswer: -12*q**3 - 3286*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*c + 14. Let u = -3 - -6. Suppose -o = -6*o + 3*z + 21, 0 = -o + u*z - c. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3819217*s**2 + 3587134.\nAnswer: 7638434*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 1. Let p be b(-1). Let z = 8 - -3. Suppose 8*l - z = 7*l. Solve -3*k - 2*n - 13 = p, 3*k + 3*n = 2*n - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**2 + 2*s - 3*s**2 - 2*s**2 - s**2 + 1 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 2}. Give prob of sequence zzm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10062 is divided by 75.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58043 + 58100 = -2*l - 5*v, -2*l - 13 = v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96153 - -2?\nAnswer: -96151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {z: 1, q: 1, y: 1, r: 2, f: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 301924602*i - 7596538774404867.\nAnswer: -3*(i + 50320767)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/19902 and 89\/448.\nAnswer: 4458048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 + 8*r - 115 + 6*r**2 + 233 - 7*r**2 + 31*r**3 as s*r + i + q*r**3 + a*r**2 and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + -17.3. Let g = a - -16. Is g not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5076369 micrograms?\nAnswer: 0.0000000005076369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.5 - -45.3. Let l = i - 20.2. Suppose f - 3*q = -2*q - 6, -5*q = -f - 10. What is the third smallest value in f, -2\/29, l?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 232.85 weeks?\nAnswer: 140827680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6 = c, 3*c + 7959*o - 18 = 7956*o for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597 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: Is -11593 at least -5411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b - 18. What is v(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32207.052 - 32152. What is r rounded to 0 decimal places?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -1*sqrt(192) + -5)*-6)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 852 and 4581914?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -437533 in -2, 4, -0.3, 1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:52 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 366*y - 366*y - 50*y**3.\nAnswer: -50*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156128404 + -10.92?\nAnswer: 156128393.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/4 + -163\/76. Let d = 3501 + -3500. Which is greater: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -187 (c) 3\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -239018.\nAnswer: -3\/239018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 3*z + 14, -z + 5*m = 12. Let v = -5 - -7. Put 3, z, v in decreasing order.\nAnswer: 3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/52, 15, 1\/6, 5, -1\/27, 1\/4 in decreasing order.\nAnswer: 15, 5, 1\/4, 1\/6, -1\/52, -1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*r**5 + 284*r**3 + 2*r**2 + 22*r - 130 wrt r?\nAnswer: 2640*r**2 + 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 23. Give d(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48643*h**2 + 37148*h wrt h.\nAnswer: -97286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24117 divided by 3?\nAnswer: 8039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*x - 344*x + 44*x**2 - 243*x - 19*x**2.\nAnswer: 25*x**2 - 758*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3388, 3619, 3994, 4513?\nAnswer: 5176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 15*r**8\/56 + 9*r**4\/4 - 3*r. Find the third derivative of a(z) wrt z.\nAnswer: 1800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*k + 4*m, 5*m - 2 - 15 = -k. Is ((-828)\/8)\/1*(-2 - k) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -37019?\nAnswer: 148076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 2.18. Let y = -0.52 - j. Round y to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 17)*(9*n + 77*n - 689*n + (0 - 1 - 1)*(3*n - 3*n + 2*n)) to the form u*n + z and give u.\nAnswer: 6677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 c when three letters picked without replacement from {a: 2, c: 1, m: 4, g: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)\/(sqrt(96)*-6))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/5)\/(((-1296)\/(-320))\/(-27)) and -68\/123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 67, 70, 61, 34, -17, -98, -215?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 20834 = 2*d, 5*d + 5*q - 10481 = 41664. What are the prime factors of d?\nAnswer: 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -205, -3, -1, -717, -4 in increasing order.\nAnswer: -717, -205, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4\/9))\/j**(6\/13))\/(j**(-6\/7)\/j**(2\/23)) assuming j is positive.\nAnswer: j**(19555\/18837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 622*p**2 + 1253*p - 323. Calculate g(313).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*x = -9, 3*x - 9 = -6*y + 9*y. Is y less than or equal to -19\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-5) - 4\/20. Suppose -i + 3 = p*i + 4*l, -2*i - 5*l = 9. Let w be (-8)\/(2\/(-2)) + (-3 - -4). Calculate the greatest common divisor of w and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1000146 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(1 - (-28)\/(-8)). Suppose -8 = -2*l + 3*c, z*c + c = 0. Suppose -l*k + 18 + 2 = 0. Sort 0.05, -1\/5, k in ascending order.\nAnswer: -1\/5, 0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:38 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5\/8, 0.4, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 - -4. Let m = -80\/61 + 842\/549. Let u = 28 - 306\/11. Which is the closest to 2? (a) x (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from {v: 2, f: 2, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 122224.20298?\nAnswer: -122224.40298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 205688 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbtbbbtttbt. Give prob of picking 2 b.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -33*t + 564. Let m(h) = -93. Determine i(g) + 6*m(g).\nAnswer: -33*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-25))\/(-4))\/(44\/(-55))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17983 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1184.9 - -1185. What is the smallest value in -18, j, 1.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12931219 to the nearest integer?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -780, -774, -768, -762?\n\"Answer: 6*v - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4324*o**2 - 96*o**2 - 3137*o**2 + 1954*o**2 - 10103 - 2392*o**2 wrt o.\nAnswer: -15990*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (190\/8)\/(2\/8). Find the common denominator of (-1)\/(-4) - y\/36 and (-4)\/3*(2514\/(-720) - (-2)\/10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*n - 1. Let p = -75\/7 + 2871\/266. Does p = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18870, -37685, -56524, -75399, -94322?\n\"Answer: -2*s**3 - 18801*s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + 1)*(-3 + 4 + 0) + (3 + 2 - 6)*(295*p + 226*p + 106*p)*(-2 - 3 + 9).\nAnswer: -2506*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1. Let q(j) = j - 6. Calculate 2*q(k) - 18*y(k).\nAnswer: 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 10*q**2 - 8*q - 10. Let l be h(-10). Suppose 0*v + 2*v = -4, 4*c = -v + l. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -93. What are the prime factors of a?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53048\/1047*3\/16*1*-2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135*45\/5*18\/2700*-10?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 7}. Give prob of picking 4 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135, 22, -89, -198, -305, -410?\n\"Answer: x**2 - 116*x + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/2 + 11672*f**2 = 0.\nAnswer: -23344, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579*w - 573*w = 246. Let b(h) = w*h + 34*h - 16 - 19*h + 16. Let n(j) = -5*j. Determine b(n(u)).\nAnswer: -280*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d - 68*d - 5 + 156*d - 50*d to the form q + o*d and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 128 - 24866?\nAnswer: -24739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76185 - 76183. Let i(h) = h - 1. Let z be i(5). Solve 3*r - 22 = -z*m, c*m - r = -5*r + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(1\/(-6)). Suppose 3*r - 22 = 2*r + p*k, -2*r + 3*k = -19. Solve 2*z - r*a = -3*a - 12, -3*z - 17 = a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.34, 4\/7, 3\/5 in descending order.\nAnswer: 3\/5, 4\/7, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7648 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3066089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 3, c: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10 = u, 2*z + 10 = 3*u - 7. Suppose 0 = -4*x - 1 + 5. Put x, u, 4 in descending order.\nAnswer: u, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 2, j: 7, k: 1, o: 2, i: 1}. What is prob of sequence aiac?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**3 - 2423*n**2 - 304*n + 261. What is y(303)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 13*j**2 + 0*j**2 - 57*j**3 + 19*j**2 - 70*j**3 + 119*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-3)\/54*4\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 69. What is the nearest to b in 3\/5, -4, -2, 4.9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 2.5. Is h at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from {i: 2, t: 1, v: 1, e: 1, c: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 7. Suppose -2*l + 13 = 3. Give d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 - 770801500*v - 29706747620112500 = 0. What is v?\nAnswer: -77080150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174891.\nAnswer: 3, 97, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -32. Suppose 5*q - a*d - d = 285, 0 = q + 4*d - 52. Let u = 17 + 2. Calculate the remainder when q is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 133\/6 (b) -2 (c) -244 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + r**2 + 2 - 2*r**2 - 1. Give g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3*x + 6. Let v be d(5). Suppose -2*b + 23 = 5*c, 0 = 5*b + 4*c - v - 8. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(140\/14))\/(((-10)\/(-28))\/1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 - 120*u**3 - 65750*u**2 + 3450000*u + 3515625 = 0. Calculate u.\nAnswer: -125, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z - 27 = 0. Let g = -7 - z. Solve 5*c - 4*u = 9 + 16, -g*c + 2*u = -10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)\/w**(2\/21))**(-26)*w\/(w**(-2\/9)\/w)*w**(-6)*(w\/(w*w**(2\/3)*w*w))**(-33\/5) assuming w is positive.\nAnswer: w**(454\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*t - 240 - 100 - 470 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (-5 + ((sqrt(75) + sqrt(75) + 0)*-1 - sqrt(75)))**2 + 5) + -1.\nAnswer: 600*sqrt(3) + 2839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/10 and 37\/3694.\nAnswer: 18470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 5. Let y be w(6). Let a be y + (1 - 0) - -4. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + a + 3*a + 1 + 11*a + 5*a - a + (17*a + 12*a - 10*a)*(0 - 3 + 5) in the form w + b*a and give b.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, -1525, 3\/2, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)*(s*s**(3\/17))\/s assuming s is positive.\nAnswer: s**(-82\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/60 + g**5\/12 - g**4\/6 + g**3 - 2*g**2. Let k(w) = -3*w**3 - 4*w**2 + w**3 - 12 + 3*w + 7. Determine 4*k(v) + 3*y(v).\nAnswer: -2*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Let c(z) = z**2 - 2*z - 3. Let p be c(u). Suppose -2*i - 3*r + 27 = p, 3*i - 2*r = -0*i + 34. What is the least common multiple of i and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -14) + (1 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1922*b + 308*b - 1 + 1412*b + 274*b)*(0*b - 2*b + 3*b).\nAnswer: 3916*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-97073\nAnswer: -97073.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3881 = 4*m + 3977, 0 = m - 2*d + 29 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.69 (b) 2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-4)\/(-3)*-2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 7\/13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 - 1534*d**2 + 1534*d**2 + 38*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 613*n**5\/60 + n**3\/3 + n**2 - 10*n - 26. Let u(w) = -w. Give u(c(s)).\nAnswer: -613*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**3)\/j)\/(j*j**(-2\/9)))\/(j**(2\/33)*j*j**19) assuming j is positive.\nAnswer: j**(-1766\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 4. Let v be h(-2). Let c(k) = -2*k + 6*k - v + 3 + 7. Calculate the lowest common multiple of c(4) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130545 + -102124?\nAnswer: -233113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b + 60. What is r(7)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 + 60 - 122 - 11*n)*(3*n + 0*n - n) - 2 - 123*n**2 - 9*n - 121*n**2 + 243*n**2 to the form w*n + l + s*n**2 and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + 8*n + 1. Let a = 9 - -4. Let o = 20 - a. Let f be c(o). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - q = -12. Let c = 0 - 0. Solve 3*w = -5*u - c*w - 13, 0 = -3*u + q*w - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let v(t) = t - 1. Let l(j) = 126*j**2 + 14*j - 14. Let m(u) = -l(u) + 14*v(u). Determine m(g(q)).\nAnswer: -126*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (67\/5)\/(20\/25) and (41\/123)\/((-6)\/(-142))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010011110001101110100 (base 2) to base 6\nAnswer: -134501140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 41*d**2 + 72*d - 7. Let t(f) = -35*f**2 - 72*f + 6. What is -5*i(l) - 6*t(l)?\nAnswer: 5*l**2 + 72*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from {j: 1, x: 3, q: 2, b: 4, g: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7 - 54*x**2 + 0 + 160*x**2 + 2*x - 56*x**2 - 51*x**2. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -k + 3*k. Let w = -7 + k. Suppose -w*l - 11 = -4*m, -4*l - l + m + 10 = 0. Let g(z) = -z**2 + 2*z + 3. What is g(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21153 - 63457\/3. Let a(h) be the second derivative of -20*h - 8\/5*h**5 + 0*h**2 + m*h**3 + 0*h**4 + 0. Find the second derivative of a(z) wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 4533*m**6\/2 - 2731*m**2\/2 - 7648. What is the second derivative of p(w) wrt w?\nAnswer: 271980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260452 is divided by 103?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 363429435 to the power of 1\/2, to the nearest integer?\nAnswer: 19064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*n + 25, 2*c - 6*c = -5*n - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 (base 11) in base 5?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/3 - 271*t**3 - 1088*t**2 - 3268*t\/3 = 0.\nAnswer: -2, 0, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - q**2 - 11*q + 14. Let c be y(6). Suppose 27 + c = d. What is the highest common divisor of 62 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 552*z. Let b(j) = 3*j + 102. Let p(t) = -34*t - 1173. Let g(a) = 23*b(a) + 2*p(a). Calculate g(r(y)).\nAnswer: 2*y**2 - 552*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -75, -4, 217, 5.\nAnswer: -75, -4, -1, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 195671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1408 * 12\nAnswer: 1.6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w + 2. Let n be q(0). Suppose n*s = -7*s + 1260. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:27 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1968454 equal to -1968453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q = -50 - 541 - 157. Let x(d) = -6*d**2 + d - 4. Let t(c) = -17*c**2 + 4*c - 11. Give q*x(g) + 4*t(g).\nAnswer: -2*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 + 7*o**3 + (3 + 2 - 4)*(-3 + 3 + o**3) + 3*o**3 - 3*o**3 + 2*o**3 + (-o**2 - o**2 + o**2)*(0*o - 21*o - 11*o).\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - 10 = 0. Is 3\/(-2)*j + 280 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**8\/50400 + m**5\/15 - 4*m**2. Let l(c) be the third derivative of p(c). Factor l(z).\nAnswer: 2*z**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2645, -10568, -23775, -42266, -66041, -95100?\nAnswer: -129443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3073, 2, 268, 12 in ascending order.\nAnswer: -3073, 2, 12, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:42 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 22*f**2 + 0*f - 3*f - 401*f**2 - 1 - f in the form i*f + w + l*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15725485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(684) + sqrt(684) - sqrt(684)) + 1 + -4)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 166552, 2, -1267 in descending order.\nAnswer: 166552, 2, -1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - (-2 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10f47b (base 16) to base 8.\nAnswer: -4172173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let v = g - -7. Suppose -h - 3*h - v = 0. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 6*v**2 + 251*v**2 - 244*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f**2 + 0*f**2)*(23*f - 16*f + 18*f)*(-1 + 6 - 6) + (-4*f**2 + 0*f**2 + 3*f**2)*(6*f - 3 + 3).\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2106)\/(-30) + -9)\/((-2)\/(-5)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/44 and -47 - -33 - (-491)\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 13 = 4*d, -2*d - 4*x - 9 = 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*z - 20, 0*z = 2*z - 6. Suppose u - v = 4*q, -4*q = -2*q + 6. Which is smaller: u or -3\/109?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320 - 342*m**2 - 164 - 156 + 163*m**2.\nAnswer: -179*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + 3*h**2 + 2*h**2 + h**2. Let s(j) = -3*j - 9*j + 5*j. Give s(d(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1. Let a(l) = -l - 7. Determine -a(z) + 5*v(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 140.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-15) - 515\/(-25). Suppose j*x - 6 = 19*x. Solve 4*p = -8, -p + 4 = -v - x*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(132) + sqrt(132) + (4*sqrt(132) - sqrt(132))) - sqrt(132)) + sqrt(132) - (sqrt(132) - sqrt(132)*4 - sqrt(132))*-5)\/(-3*-4*sqrt(300)*3).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -18. Which is the nearest to -11? (a) p (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 - 4 = 0. Solve -2*x = -2*d + 6, o*x + 1 = -2*d + 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-8))\/(i\/(i\/(i\/((i\/(i*i*i*i**(1\/20))*i)\/i*i)))))**44)**(-1\/5) assuming i is positive.\nAnswer: i**(1991\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14*z + 134. Let y(q) = 13*q - 126. Let p(w) = -11*f(w) - 12*y(w). Determine p(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 36. Let q be (-1)\/((0 - 3) + (-78)\/d). Sort 1\/4, 5, 3, q.\nAnswer: q, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2 (c) -90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7575394.\nAnswer: 2, 349, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16021837, -32043677, -48065519, -64087363, -80109209?\n\"Answer: -c**2 - 16021837*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 6. Let r(t) = -4*t + 13. Let q = 4 + -24. Let i = q - -11. Calculate i*c(y) + 4*r(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233\/4 + 59. Let l be 18\/168*20\/(-6). Let m = l - -1\/42. Which is the biggest value? (a) i (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/60*c**5 - 4*c**2 + 0 + 0*c**4 + 0*c + 0*c**3. Let h(v) be the third derivative of v**4\/6 + 23*v**2. Give h(i(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/25*40\/(-64). Which is the closest to 1? (a) x (b) 3 (c) -5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48490 equal to 422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 396 = t + 2*t, 0 = 4*t + 4*o - 488. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32123 or -1\/26?\nAnswer: 32123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -1.5.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, w: 2, x: 3, o: 2}. Give prob of picking 2 x and 1 w.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 6.2, 1\/4, -1\/4.\nAnswer: -2\/3, -1\/4, 1\/4, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7754 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 15*y**2 - 87*y + 2848. Calculate b(19).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 186924336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504248491?\nAnswer: 29, 1997, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*(-6)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and -8*(3 + 13\/(-4))*6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t + 5*t - 9*t + (2 - 5 + 5)*(-t + t + t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*y - 30, -4*y - 2*r + 19 = y. Suppose 3 = 2*v + y. Let i(a) = -45*a + 2. Is 10 a factor of i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-54)*(-30)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 3926.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 9*l = 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (39 - 0) + -66\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -0.3 (c) -25 (d) 2 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-60) - 33\/(-5). Let p = k - 19. Let t be ((-1)\/p)\/((-6)\/16). Which is the smallest value? (a) t (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308641 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i + 6. Suppose -a = i*a. Solve -5*o - 7 = -3*g, 4*o + a = -g - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15540 and 4.403.\nAnswer: 15544.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - -10) + -1*3. Let i(z) be the third derivative of 3*z**2 - 1\/120*z**6 + 0*z - 7\/60*z**5 + 0 - 1\/4*z**4 - 1\/6*z**3. Calculate i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99244.828 rounded to the nearest one thousand?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 103848404 divided by -506\nAnswer: -205234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*j + 4*y - 6, 5*y - 41 = 4*j. Which is the closest to -0.1? (a) 2\/3 (b) -2\/3 (c) 2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*h + 76, 6*h - h = m - 73. What is the remainder when 154 is divided by m?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 39.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 75819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u + 2924*u**2 + 4851*u**2 + 797*u**2 + 30*u.\nAnswer: 8572*u**2 + 89*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**5 - 6*u**4 + 3*u**3 + 4*u**2 + 4*u - 4. Let l(d) = -d**5 - 2*d**4 - d**3 + d - 1. Let w(k) = 4*l(k) - r(k). Solve w(p) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:22 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 66. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.759 rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 14. Let q be s(-5). Suppose 3*j + 80 = 11. Let y = j - q. Solve 4*b = y*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 29 + 29.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -4. Let a = -139\/3 - n. Do -2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*f + g + 8, 3 = f - g. Suppose f*m + 2*s - 22 = 0, 0 = 5*m - 0*s - s - 31. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Suppose -4*p - j = -21, 2*p - 13 = -0*j - j. Find the first derivative of -n*q**4 + p - 5*q + 5*q wrt q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-94)\/88 - ((-6)\/(-11))\/3. Which is the smallest value? (a) z (b) -49 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 0*w + 0*w. Suppose 2*f - 16 = -4*h, 5*f - 13 = h - 2*h. Let q(x) = -4*x**f + 4*x**2 + 2*x**2. What is a(q(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/(s**(-2\/7)*s)*(s\/((s*s**(-2\/9)\/s)\/s)*s)**49)**(-1\/44) assuming s is positive.\nAnswer: s**(-4951\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 36934*w + 110630. Give b(-3).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6.156*0.9\nAnswer: -5.5404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69\/49 + 9\/98. Sort y, 0.2, -136, 4, -4\/3 in descending order.\nAnswer: 4, y, 0.2, -4\/3, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 4, t: 1, y: 5, j: 1}. Give prob of sequence zzy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 5945 (c) 3 (d) -0.2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202977067242 - 0.449.\nAnswer: -202977067242.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(3\/63*-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvgvgvgvgvgvvvgvg. What is prob of picking 4 v?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 6 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + -0.03. Let f = o - 0.92. What is the biggest value in 1\/4, f, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -20.91 (c) 3 (d) 1.6 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185628 is divided by 84.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 800. Let j(d) = 3*d - 797. Determine 5*i(l) + 4*j(l).\nAnswer: 2*l + 812","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05654 and 124.3.\nAnswer: 7.027922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 619149\/64328 - -1\/8041. Let m = -724606 + 5787181\/8. Let i = m - -1219. Find the common denominator of f and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*a = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9*v - 155 = 0. Is 14 a factor of 86*(54\/12 + -5)*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8496 divided by 177.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**2 + 7*x - 3. Let j be (1\/4)\/((-12)\/48) + 0. Let u(d) = -d**2 - d + 1. What is j*p(z) - 5*u(z)?\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3256\/(-352) + 2\/8. Let b(p) = -p + 1. Let z(l) = -l**2 + 5*l - 16. Let w(u) = 2*b(u) - z(u). List the prime factors of w(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106406389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1332, -1337, -1346, -1359?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -44\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(1\/25)*o))*o**(-1))**36 assuming o is positive.\nAnswer: o**(864\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 126 + 24*p**2 - 12*p**2 - 142*p**3 - 12*p**2.\nAnswer: -142*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 40. Let j = -1496959\/11 - -136229. Let g = j - 142. Is u less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:04 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45137\/18 + 2509. Let p = -318627873 + 321814186567\/1010. Let s = p + 4\/505. What is the common denominator of m and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkhkkkkkkkkk. What is prob of sequence kh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - -266. Suppose -21*c = -25*c + u. Suppose 6*l = 10*l - c. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896835197?\nAnswer: 727, 1233611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 616 - 616.5. What is the biggest value in 0.3, v, 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235.8, -0.5, -4, 0.2, -1\/5 in descending order.\nAnswer: 235.8, 0.2, -1\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/17)\/t*t*t**(-9)\/t)**37\/(t*t**(2\/17)*t**(-5))**35 assuming t is positive.\nAnswer: t**(-3943\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 755473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*x - 2. Suppose 0 = -5*d + 10 + 15, 5*d = -3*c + x. Let p(s) = -2*s**2 - 6*s - 5. Let o be p(-4). Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 35. Let i be u(0). Let w = i + 106. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/13452 and 29\/1416.\nAnswer: 26904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2451994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5 - 5*w + w**2 + 0*w + 12*w. Let u be m(-8). Solve b - 5 = -5*o + 15, o - 20 = u*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkb when three letters picked without replacement from {x: 2, k: 1, b: 1, g: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 39. Suppose -11*l + 8*l + 25 = -5*u, 0 = 5*u + 2*l. What is the remainder when 64 is divided by 44*(x\/(-6) + u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - 20 = 4*j, -2*j + 5*v = 36. Let g be (4 - 3)\/(5\/(-5)). Let z be (g\/2)\/(4\/j)*-3. Sort 2, z, 3 in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/14 - 2\/(-7). Suppose 4*b - 39 = o. Suppose 6*t - t - b = 0. Solve m + 1 = 2*v - 0, -5*v - t*m - 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 equal to -433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - 2.93. Let o = 9 + -1. Suppose -x + 3*q + 1 = o, 0 = 4*x - 4*q + 20. Sort k, 1, x in increasing order.\nAnswer: x, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 13*b**4\/12 - b**3\/6 - 2*b**2. Let z be t(1). Suppose -3*j + 6*o + 39 = 3*o, z = 3*j + 4*o. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 20 = -4*p, u = -p - u - 6. Let b be (86436\/(-3458))\/(-18) - (-51)\/(-221). Do p and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -16*z**5\/17 - 42*z**4\/17 + 384*z**3\/17 - 16*z**2\/17 - 1920*z\/17 + 2016\/17 = 0.\nAnswer: -6, -21\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(3\/5))**(16\/7)*z**(-3)\/(z*z**(-3\/5)) assuming z is positive.\nAnswer: z**(89\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -59239, 34 in increasing order.\nAnswer: -59239, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*(162\/(-36))\/(48\/(-8)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 630.447.\nAnswer: -629.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/5 - z**4\/12 - 3*z**3\/2 - 3*z**2\/2 - z. Let k be 1\/(-8 - (0 + (-198)\/24)). Is g(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-270)\/(-855)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -55 - -37) + -63?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 198. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 4*n, 0*z + 5*z - n - 20 = 0. Let a be (16\/(-96))\/(7\/z). Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*g**3*y**3 - 13*g**3*y**2 - g**3 - 91*g*y**3 - 2*y**3 - 65*y**2 wrt y.\nAnswer: -114*g**3 - 546*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2465 (base 7) to base 8\nAnswer: -1641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2 - 2*l - 3. Suppose -3*r - m + 9 = 0, -4*r - 3*m + 8*m + 12 = 0. Give g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 10:51 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*x + 46*x - 4*x)*(-1 + 2 - 3)*(1 + 3 - 2) as a*x + o and give a.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 773495?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34566, -51368, -68170, -84972?\n\"Answer: -16802*l - 17764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-40))\/(0 + (-3)\/(-8)). Solve -p = -s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19743990 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21024*l**3 + 107*l - 12930*l**3 - 107*l.\nAnswer: -33954*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, u: 4, s: 5, e: 1, a: 1, x: 2}. What is prob of picking 1 n, 1 u, and 1 x?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089*b + 1575*b = 283*b - 38782 + 163879 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -2*l + 7, 5*x - 43 = -4*l. Is (4*2)\/(l*(-4)\/(-896)) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1664466038 and 84697.\nAnswer: 1664550735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o - 98. Determine w(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 3) to base 15.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -11\/5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -4*o**2 + 28*o + 5. Let c(p) = p - 3. Let i(m) = -28*c(m) - 3*l(m). Let x(k) = 97 - k**2 - 97. Give i(x(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473759 is divided by 977?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 83. Let i be l(13). Solve i*x - 9*x = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-33)\/(6930\/48)*15\/(-2).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5260 + 23*k**2 + 5260 + (3*k - 2*k - 3*k)*(1 + 2*k - 1) as l*k**2 + q + d*k and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5. Let m be z(7). Suppose -m*f - 7 + 43 = 0. Suppose h + 2*w - f = 0, h - 5*h - 5*w = -81. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 683, 2954, 6803, 12224, 19211, 27758, 37859, 49508?\n\"Answer: -m**3 + 795*m**2 - 107*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 46*d = -34*d + 60. Solve -d*x - 10 = 0, -x - 28 = 4*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*g + 10*g**3 + 30*g)*(-834*g + 849*g + 1036*g + 163*g + 1088*g) to the form p + m*g**2 + w*g + b*g**4 + x*g**3 and give b.\nAnswer: 23020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -1.1, -105, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/65 - -1 - 76\/(-380).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 1. Suppose m = 4*t + t. Calculate the smallest common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(3\/(-2)))\/((-38)\/114).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 9. Let n be w(-6). Find the first derivative of 0*o**n - 21 + 9*o**3 + 0*o**3 - o**3 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 5*j - 4. Let d be k(4). Let m be d\/(-10) - 2\/(-5). Let y = 15 + -9. What is the highest common divisor of y and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3264 bigger than 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 5*p + 8, -4*p = -4*v - 16. Let y(w) = -w + 7. Let b be y(5). Suppose p*z + b*z - 742 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361\/15 + -71\/3. Which is smaller: g or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:34 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:50 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 - -11332331?\nAnswer: 11333210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, p: 2, u: 2, s: 2}. What is prob of picking 1 d and 2 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*x + 89 = 3*x, -4*y + 2*x = 128. Let v = 35 + y. Let a be 51\/9 - 7\/(-21). Solve s - a + 2 = 0, 3*k = v*s - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 97*k + 11055. Calculate w(-114).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*o - 138 + 30, -4*k = -5*o - 76. Let m be (-52)\/(3 + -2)*(-35)\/(-10). Let z = -112 - m. What is the remainder when z is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -4969?\nAnswer: -4962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 580*k**5 + 55092*k**4 - 8733820*k**3 - 863148644*k**2 - 842574360*k + 11785952 = 0. What is k?\nAnswer: -109, -1, 2\/145, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n + 3. Let a(s) be the first derivative of -s**2\/2 + s - 1. Suppose 2*j + k = -k + 2, 9 = 3*j + k. Give j*a(y) - h(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) -15173 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27 - (2 + (-8 - -3)). Suppose 4*r = -5*r + 702. Suppose 6*s = r - 30. Solve -5*m + s*u = 3*u + j, 2*u = 5*m + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5676238 rounded to three dps?\nAnswer: 18.568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16683, 15875, 14523, 12621, 10163?\nAnswer: 7143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 305, 614, 921, 1226, 1529?\n\"Answer: -g**2 + 312*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -28 + 30 + (-1 + 0 - 1). Let n(g) = -2*g**2 - 2*g + 3. Let d be n(c). Suppose 1 = -x - 0. What is the closest to 0 in x, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 249480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31001283 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 7. Let p = -3 - 2. Let c be r(p). Suppose 2*l = u - 12, -c*l - 78 = -u - 3*u. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 173 = 38. Let u be (m - 5 - 9)*14\/(-24). Is u >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, -1, -6183, -2, 2, -5 in ascending order.\nAnswer: -6183, -21, -5, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 4, -0.2 in descending order.\nAnswer: 4, 2, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 + 8. Let y be n(0). Suppose -y*s + 4556 = 1924. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 807824 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2160) - sqrt(2160))*-5)\/((-2*sqrt(84))\/sqrt(7) - sqrt(300)*-2)*-4.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 10*p. Let v(h) = -h**2 + h. What is s(g) - 2*v(g)?\nAnswer: g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/(-2))\/(-6*140\/168))\/(9\/9).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028070976 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 0*r**5 + 2*r**5 + (-3*r - r**3 + 3*r)*(4*r**2 - 7*r**2 + r**2) + 3*r + 3*r**5 - 3*r + (-r + r - r)*(0*r**4 + 5*r**4 - 3*r**4).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 + 49*(-91074)\/(-29498).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468037047 to the nearest integer?\nAnswer: 21634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/7956 and -109\/378.\nAnswer: 167076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let b(g) be the second derivative of -5*g**4\/12 - 3*g. What is b(i(k))?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72721 + -72721. Let f be 3\/2*(-32)\/168. Sort -4\/7, k, f, 6 in decreasing order.\nAnswer: 6, k, f, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -10011000?\nAnswer: -10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3\/31, 0.4, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + b)*(0*b - b + 3*b) - 9*b**2 + 2*b**2 - 5*b**2 + 5*b**2 - 2*b**2 - 4*b**2)*(2*b - 7 + 7).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2)*1 + 162\/(-9) + -3049. Is n greater than -3068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.134 (c) 1 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/100 + s**4\/24 - s**3\/15 - s**2. Factor c(i).\nAnswer: -(i - 1)*(3*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h*w*z + 10*h*w + 2*h*z + 23*h - w - 4*z**2 + 7*z - 2 wrt z.\nAnswer: -8*h*w + 2*h - 8*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6139*d**2 + 4*d**3 - 6139*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/56)\/((-8)\/3836*-3) and 18\/(-32)*(-33)\/6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*d**3 - 108 - 128*d**3 - 185*d**3 + 108.\nAnswer: -382*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yai when three letters picked without replacement from yyiaaaa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -1\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.315 - 0.6?\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 187.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*v + 3789 + 705 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 16\/107, 1\/6, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j*q**2 + 13*j + 364619*q**3 + 1655192*q wrt q.\nAnswer: -8*j + 2187714*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/2500 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/p**7)*p\/p**1*p**(2\/17)*p*(((p**4*p)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/220 and -1\/114114.\nAnswer: 1141140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1194 by -6.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210643 (base 8) to base 16.\nAnswer: -911a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 12*r + 2*r + 4*r + 0*r - 2*r + (-3 - 1 + 2)*(0 + 0 - 2*r) to p*r + v and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 28 = -23*s. Let a be 30\/s*8\/(-12) - 1. Solve 2*r - a*n - 14 = 0, 0 = n - 0 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 21693*u**3 + u + 21694*u**3 - 3*u + 0*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(2\/3)\/m*m)\/m)**(2\/9)*m**(-4\/9)*m*m**7\/m)**(-38))**(-38) assuming m is positive.\nAnswer: m**(261364\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25285, 25294, 25303, 25312?\n\"Answer: 9*o + 25276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let t(g) = -100*g**2 - 2*g - 2673. Calculate o(t(q)).\nAnswer: 300*q**2 + 6*q + 8019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5357151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 2*f - 284670 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a - 3 - 15*a + 28*a + (-3 + 2 + 2)*(-2*a + 6*a - 2*a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -1 - (25 - (36 + -13))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + 2*sqrt(102) + sqrt(102))*-6) + (sqrt(102)*-4*3 - sqrt(102) - sqrt(102)))\/(1*-3*(sqrt(54) + sqrt(6))*1).\nAnswer: -11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -21, 1424536 in descending order.\nAnswer: 1424536, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3 = 0, 2*m + d = -4*d + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2654*d**2 - 3 + 29*d**2 + 749*d**2 to n + m*d + q*d**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f + 73. What is the greatest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 + 3*x**2 - 6*x**2 - 2*x**2 + 10*x**2 - 6*x**2.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71803?\nAnswer: 59, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 107. Solve -q + 8 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33899.3656 to the nearest integer.\nAnswer: -33899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from xxxqxxxxxxxqqxx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(4*k + 8*k + k)*(3*k**2 + k**2 + 0*k**2) + 3*k**3 - 5*k**3 + 0*k**3.\nAnswer: 50*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67*(-76)\/7638 - ((-924)\/9)\/(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 - 5 = -4*p, -4*y - 8 = 0. Let t(a) = a**2 + a - 7. Is t(p) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15\/c*c*c**(-6))\/((c**(11\/4)*c)\/c**13) assuming c is positive.\nAnswer: c**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20100 + -3?\nAnswer: -20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p - 47*p**4 - 175*p - 2*p**3 + 48*p**4 in the form u*p**2 + b*p**4 + v*p + i*p**3 + k and give v.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 791, 904, 1451, 2648, 4711?\nAnswer: 7856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587616 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: Calculate 140824\/(-101976)*42\/(-5).\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20)\/((-1)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let l = 17 - 2. Let d(o) = -15 + o + l. What is d(i(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccecceeecccecccc. Give prob of sequence ccec.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 774 and 258?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 2:50 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112100 (base 3) to base 8\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25010 + -15876. Does 109 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -1\/4, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**3 + 468*x**2 - 43*x + 7380. Calculate t(67).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -24*h**2 + 3*h + 13. Let n(q) be the first derivative of -4*q**3 + q**2\/2 + 6*q + 2. Let m(o) = 4*b(o) - 9*n(o). What are the prime factors of m(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23705\/1059 + 18\/353. Let a = -22 - r. Let w = -0.05262 + 0.05262. Sort w, -8, a in descending order.\nAnswer: a, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 27) + 20 - 44\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -143*s**2 - 441*s + 37. Calculate c(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 8841.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331 (base 4) in base 12?\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 225\/11834 in -2, -0.2, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*2)\/sqrt(10) + sqrt(15))\/((sqrt(40)*-2)\/sqrt(8)) - ((1*sqrt(972))\/(sqrt(36)\/(sqrt(4)*-2)))**2.\nAnswer: -432 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t + 4. Let i(y) = 6*y + 2. Let l(z) = 7*i(z) - 4*r(z). Let a be l(-2). Suppose 7*p = 10*p. Solve -h - a*h = p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a + 7. Let f(k) = 50*k + 20. Calculate -6*f(b) + 17*w(b).\nAnswer: -28*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 + 52 - 27)*((-1 - 1 + 0)*(3*b + 2*b - 4*b) + 3 - b - 3 + (0*b - b + 0*b)*(1 + 0 + 1))*(89 - 89 - 18*b) to the form n*b + f + l*b**2 and give l.\nAnswer: 5490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*b - 160, 97163*f - 2*b - 70 = 97159*f - 0*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10412 and 21824?\nAnswer: 56807872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*g**2 + 16*g**2 - 35*g**2)*(-23 + 61 - 41 - 46*g) in the form a*g + t + u*g**2 + v*g**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5746159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 7163039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 233882425360 plus -1?\nAnswer: 233882425359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 352*h - 52. List the prime factors of s(11).\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 - 75. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -992306515703\/7423728 + 433\/190352. Let r = m - -133674. Let z = r - 701\/26. Calculate the common denominator of z and 36\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbccppc. What is prob of picking 1 p and 2 c?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let a(t) = -570*t - 12. Let x(s) = 571*s + 15. Let m(v) = -5*a(v) - 4*x(v). Determine m(q(y)).\nAnswer: 1132*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2312 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((-8245)\/10 + -2). Suppose 3*j + f = 3*g, g - 7*j + 3*j = 1647. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5359, -25, 16, 1 in ascending order.\nAnswer: -25, 1, 16, 5359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833 (base 10) in base 5?\nAnswer: 24313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -479.\nAnswer: -30\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28060624 divided by -2.\nAnswer: 14030312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2096 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let a = -10 + 14. Let w(x) = -161*x + 161*x + 2*x**2 - a*x**2. Calculate t(w(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 59*w**4 + w**3 - 3076 + 5*w + 3085. Let o(b) = 58*b**4 + b**3 + 9. Let u(h) = 4*o(h) - 5*v(h). Find the second derivative of u(p) wrt p.\nAnswer: -756*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1128*b**2\/13 + 4682*b\/13 - 680\/13.\nAnswer: -2*(b - 4)*(564*b - 85)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 25*o = 40, -25*o + 23*o + 8 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 454464 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -3*m + 3*u, 0 = 3*m - 2*u - 4. Let a = 1797 + -1792. Calculate the greatest common factor of a and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.465 + 0.495. Which is the smallest value? (a) -1\/7 (b) 0.4 (c) 1\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 - 1220*z**4 + 70161*z**3 + 3725872*z**2 - 7722692*z = 0.\nAnswer: -34, 0, 2, 337\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-4\/3))**(14\/9)\/((m**(2\/17)*m)\/m*m\/m**(3\/8)*m\/((m*m\/m**(1\/4))\/m)*m\/(((m\/(m*m\/(m\/m**(8\/5)))*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-73441\/18360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19423 - -19367.916. Let q = 78 + -23. Let l = q + h. What is l rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3 + n**2 + 7*n + 1 + 5. Let w(f) = -4*f**2 - 7*f + 30. Let a be w(-4). Let o be d(a). Solve 2*j + 5 = -o*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 14. Let p be l(6). What is the third derivative of -8*w**4 + 4*w**3 - p*w**3 - w**2 + 10*w**2 wrt w?\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 2*y = -4471, -10 = -5*y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/27 and -47\/4032?\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4e98a0?\nAnswer: -4e98a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61\/2 of a micrometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00472888194 to four dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2)*o))**(-39)\/(o**(-8\/5)\/o**9) assuming o is positive.\nAnswer: o**(-142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*q + 37*q + 5*m = -41*q - 4, 8*q = 4*m - 12*m - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -540.3212 to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37971?\nAnswer: 3, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) -2\/7 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let b(t) = -t**2 + 9*t + 1. Let d = -50 + 59. Let z be b(d). Let q(s) = -s**2 - 2*s. Calculate z*q(x) + 2*p(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + 60 + -35 + 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/8)\/(1\/12). Let j be (15\/20)\/(g\/10). Let x = 11.11 - 11. Which is the second smallest value? (a) -0.4 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 plus -22?\nAnswer: -21.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5548 - 0.1548. Which is the nearest to -194? (a) 3 (b) 0.1 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 257298260?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78771, 77701, 76629, 75555, 74479, 73401?\n\"Answer: -j**2 - 1067*j + 79839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 2*v = 136, 4*v - 24 + 173 = 4*c - 56 - 67 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 921189 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/7 (b) 0 (c) -48 (d) -3 (e) -224534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -201*l + 174. Let n(x) = 203*x - 176. Let d(z) = -5*b(z) - 4*n(z). Differentiate d(f) wrt f.\nAnswer: 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeg when four letters picked without replacement from {e: 1, g: 3, l: 1, m: 1, k: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 53 + (-41458)\/1178 + -18\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Suppose 14 = 5*c - 2*w - 4, -4*w - 26 = -5*c. Let y(k) be the first derivative of 0*k - 1 - 2\/3*k**3 + 0*k**c. What is t(y(h))?\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/9))**37 assuming x is positive.\nAnswer: x**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 11032 = w. Let i = 1260 - w. Does 44 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from hccpupczzbuuuupccpp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*r - 4*k, -51*k - 1113 + 1062 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 - 12*f**4 + 4*f**3 + 44*f**2 + 48*f + 16.\nAnswer: -4*(f - 2)*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 39, 100, 161, 222, 283?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.5 - 33. Let k be -3*(15\/5)\/(-27). Let m be (6\/4)\/(9\/4). Which is the closest to -3? (a) m (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - 23\/(-5). Let q be (-412)\/(-6) + 0 - (-2)\/(-3). Let m = q + -61. Solve w*h = l - m, -4*h = -4*l + 10 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/6*(-6)\/4. Suppose -3*r - 4*j = 26, 2 = -r - 0*r - 3*j. Let u = r + 19. Do p and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let t(p) = 2*p**3 - 2*p**2 - 2*p + 3. Calculate the lowest common multiple of a and t(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-2*4)\/sqrt(7))**2 + 0.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**2 + 6*c + 1. Let p(n) = -4*n + 13. Let b(g) = -13*k(g) + 6*p(g). Let y(r) = 2*r**2 - 5*r**2 + 0*r**2. Give y(b(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(6\/17)*p*p)*p*p\/(p**11*p)*p*p)\/(p**(1\/4)\/p*p)**(-37))**24 assuming p is positive.\nAnswer: p**(-858\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018067 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 18*u + 21. Let h be q(17). Suppose 0 = 5*d + h*x - 3680, -3*x = -7*x. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 4, n: 7}. Give prob of sequence npnp.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3151256 (base 7) to base 3\nAnswer: -201102100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12194*b - 137*b**3 + 6090*b + 6104*b.\nAnswer: -137*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - t = -442 + 441, 0 = 4*i + 2*t - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -544, -1200, -2128, -3334?\nAnswer: -4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-10) - (-27)\/6. Let b(r) = -o*r**2 + 5*r**2 - 3*r**2. Let u(g) = g. Calculate u(b(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -215*j + 208*j - 2667. Let s = -378 - j. Solve -p - 17 = -5*t + s*p, 2*t + 13 = -5*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624538, 1249075, 1873612, 2498149, 3122686, 3747223?\nAnswer: 4371760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15138*x - 1377 = 15165*x for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2532 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8845589 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (2\/1 + 0). Is (-52964)\/(-12)*(j + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/6*1*-8. Solve -3*h + b = 0, 5*h - 13 = -3*s + 4*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11651959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o + 2*o - 3*v, 0 = 3*o - 3*v + 3. Find the third derivative of -3*b**o + 0*b**3 + 3*b**3 + b**3 + 2*b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/24 + 31*r**3\/6 + r**2. Suppose -4*u + 580 - 580 = 0. What are the prime factors of j(u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -40*i + 11. What are the prime factors of u(-3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 + 2 = 0. Suppose 0 = -n*b + 2 + 8. Solve 26 = -b*d - 3*x, 0 = -5*d + 5*x - 2*x - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/2 - f**3 + f**2\/2 + 2*f + 2. What are the prime factors of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 - 1738*b**4 - 14050*b**3 + 15786*b**2 = 0. What is b?\nAnswer: -9, 0, 1, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 29. Let u be y(6). What is the greatest common divisor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/5))\/l**11)\/(l**(-1\/10)\/(l\/(l*l**(-5))*l)))**(-3\/5) assuming l is positive.\nAnswer: l**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15844110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*d = 6*s - 246, -249 = -3*s - 3*d. Let i = 82 - s. Solve i*r = -g + 3, -3*r + 3 = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is be (base 16) in base 2?\nAnswer: 10111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 - (-1173)\/(-115).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0 + 12*i + 0 + 21*i. Let s(a) = -a. Let y(v) = v. Let p(b) = 5*s(b) + 6*y(b). Calculate p(g(j)).\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - 1. Let v(w) = -w**2 - 5*w - 3. Let f be v(-2). Let u be (-27)\/(-18)*4\/f. What is the third biggest value in u, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 6)*(u + u - u) + 7 - 7 + 8*u)*(240 - 288 - 409) to r*u + z and give r.\nAnswer: -2742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 2*a**2 - a - 8. Calculate c(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 20254965.\nAnswer: -1\/6751655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4 and 79\/75962592.\nAnswer: 75962592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbboobbb. What is prob of picking 2 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-189)*-12*15)\/((-4)\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5*(-8)\/(-400))\/(7632\/(-8480)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -13. Suppose -3*h + 4*o = -8, 2*o + s = h + o. Let z be h\/((6\/3)\/(-1)). Solve -3*p = -z - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 = 9. Let p(m) = -3*m - 1. What is p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5146011 divided by 63531?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10797 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 c(z) = z**5 + z**4 + z**3 + z**2 + 2. Let d(s) = -16*s**5 + 327*s**4 + 1376*s**3 + 1581*s**2 + 412*s - 146. Let j(x) = 5*c(x) + d(x). What is u in j(u) = 0?\nAnswer: -2, -1, 2\/11, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 6. Let o(b) = -1. Let h(v) = 3*o(v) + q(v). Let x = -7 - -7. Suppose x*j + j + 5 = 0. Let g(z) = -2*z + 1. Give j*g(k) + 2*h(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 670 - 685.9. What is k rounded to one dp?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1253*y + 21. What is the tens digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/114744 and 53\/20.\nAnswer: 573720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 6. Let h(n) = 16 + 3 - 1 - 17. Give -6*h(v) - y(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1600890923 to 5 decimal places.\nAnswer: -0.16009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-8)\/p*p)*p)**(4\/7) assuming p is positive.\nAnswer: p**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**3 + 2*u. Let a(t) = 2*t**3 - t. Suppose 12 = 4*f, 0 = r + r + 4*f. Give r*l(n) - 11*a(n).\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(80) - (sqrt(80) - -3*sqrt(80) - sqrt(80))) + 4 + sqrt(80) + (sqrt(80) + -2)*-2) + 3 + -4)*3)**2.\nAnswer: -60912*sqrt(5) + 253161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.5 - 63.5. Let h = 49.00000116 + a. What is h rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.55 - -2.61. Sort 1, z, -1\/11, 0.5.\nAnswer: -1\/11, z, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448895946 to the power of 1\/2, to the nearest integer?\nAnswer: 21187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 4. Let q be f(-5). Let p(z) = 3*z**2 + 1. Let a be p(-1). Suppose 7 - a = n. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004130.\nAnswer: 2, 3, 5, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 605\/(-44))*-36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284*n + 295*n - 575*n)*((3 + 2*n**3 - 3)*(-1 - 4 + 3) - 2*n**3 + 3 - 3 - n**3 + 0*n**3 - n**3 + 71*n**3 - 453*n + 453*n).\nAnswer: 252*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.9 (b) -6\/11 (c) 49 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*l*m*u + 13*l*u + m*u with respect to m.\nAnswer: 22*l*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92155*f**4*m**2 + 500*f**4 - f**2*m**2 - 134*f*m**2 + f*m - 225*f + 6*m + 3 wrt f.\nAnswer: 2211720*f*m**2 + 12000*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)\/v**0*(v**2)**(-6\/11) assuming v is positive.\nAnswer: v**(-182\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 216065714, 432131433, 648197152, 864262871?\n\"Answer: 216065719*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w - 50*w = -23*w + 1080 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*p + 20 - 5, 0 = -4*p - 3*x + 12. Solve -p*k - 5*y = 0, 13 = -k - 4*k - 4*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/3 - 2*b**2 - 5*b. Let i(y) be the second derivative of y**3\/2 - 7*y**2\/2 + 4*y. Let k(t) = 3*i(t) - 5*n(t). Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 - u**3 + 4*u**2)*(12*u + 0*u + 6*u) as c*u + p*u**2 + i*u**3 + o*u**4 + l and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/((-9)\/(-312)). Let m = d + -317. Let a = -180 - m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 375394 - 88182 = 62*z. Calculate the highest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.052 - 0.248. Which is the nearest to m? (a) -4 (b) -2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88469965 to the nearest integer?\nAnswer: 9406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cbc434 (base 13) in base 10?\nAnswer: -9623579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*s*u + 2*s - 7*u**2 + 373*u - 2528501 wrt u.\nAnswer: -113*s - 14*u + 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 950762 != -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*i + 36, 0 = -15*i + 11*i - 16. Let h be 178\/8 - ((-95)\/20 - w). Solve -6*p = -h + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.68 and 5.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 294008275\/16 - 18383197. Let c = 7677 + h. Calculate the common denominator of c and 11\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 79*n**3 + 8*n**2 - 4*n + 15. Let p(h) = -78*h**3 - 10*h**2 + 5*h - 16. Let u(d) = -5*l(d) - 4*p(d). Find the first derivative of u(t) wrt t.\nAnswer: -249*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 + 292.5. What is the closest to -2\/5 in -2, 1\/6, a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -6\/11, -1200, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.1 - -7. Let y = 880\/9 - 98. Sort y, s, 5 in decreasing order.\nAnswer: 5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 40 - 3 = -5*a, -8*k = -4*a + 24 + 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7*f - 47*f - 19*f)*(0*f - 2*f - 10*f) + 2*f**2 - 2*f**2 + 2*f**2)*(-8 + 2 - 10) to the form q*f**2 + h*f + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11403 - -2?\nAnswer: -11401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3058*i + 6130*i - 845*i**2 - 3073*i to the form a + f*i + x*i**2 and give x.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*l, -57 - 287 = -5*k + 4*l. What is the highest common factor of 180 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:40 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -576 - -2878\/5. What is the smallest value in -5, 30, 0, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282046270 - -4.6?\nAnswer: 282046274.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*t = -154*t + 1335 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*n**2 - 603*n**2 + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472509311 + -3.198?\nAnswer: 472509307.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-4)\/(-32)*0. Suppose j = -5*r + 22 + 13. Suppose r - 13 = -2*p. Solve -h - 3 = -p*i, -h + i + 3*i = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -934118 + 7?\nAnswer: -934111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 14*g - 14. Let v(o) = -3*o**2 + 9*o - 8. Determine -5*k(c) + 8*v(c).\nAnswer: -4*c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - f**2 + 2 + 2.\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1153444420 + 3?\nAnswer: 1153444423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12505848 and 0.236.\nAnswer: -12505847.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjrrrrrrjrrrrjrrrrr. What is prob of sequence jrjj?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -9, -0.9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 - d - 11. Determine n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 26 - 30 - ((3 - 1) + -2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38298 and 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6130161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/19 and 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from shfgwwbf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m*w**3 - m*w - 223*m - 89387*w**3 with respect to m.\nAnswer: -3*w**3 - w - 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + 1\/(-3). Let j = -5056 - -5057. What is the closest to j in -5\/2, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29825 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**3 - 9*j**2 + 2*j**2 + 19*j**2 - j**3.\nAnswer: -20*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878340 is divided by 2875?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.6. Let n = 110 - 112. Is c greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 54*g + 248. Let h be o(49). Solve -4 = -h*i + 2*t - 1, -5*t = 4*i - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdsdskkssssvd. Give prob of sequence dk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q + 7. What is the units digit of (q\/10)\/((-4)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 12*y**2 - 9*y - 25. Give v(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*t**2*u - 9686*t**2 - 26*t*u + 1 wrt u?\nAnswer: 52*t**2 - 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 566257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -0*s - 3*s. Suppose 12*y = 10*y + 826. Suppose 4*d + 121 = y. Calculate the remainder when d is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129554 is divided by 129551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6*b = -22. Solve 2*a - 9 + 1 = 3*y, -5*a - 3*y - b = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67120*c - 53 - c**2 - 11*c**2 + 67120*c + 4 in the form o*c**2 + l*c + d and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1519.2 * 0.2\nAnswer: 303.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1208 + -1096. Let p be 1*15 - (-3)\/3. Calculate the greatest common divisor of p and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 5. Suppose 3*d - f = 16. 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 d be -5 + (26\/5 - -1). Find m, given that -2\/5 + d*m + 8\/5*m**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h + 75. Suppose 30 = 15*u - h. Suppose b = 2*x - 0*x + 6, -4*b = u*x - 24. Solve 2*j + 0 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:44 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19.934 times 0.01728\nAnswer: 0.34445952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/(-8))\/(-7))\/((1547\/34)\/13)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/100 + (162\/150 - (-4 - 3)). Let a be (-1)\/((0 + -1)\/5). What is the smallest value in 4\/5, a, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.54526 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56121 is divided by 81.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143861 is divided by 1754?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665795.4mg in tonnes?\nAnswer: 0.0006657954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Which is the smallest value? (a) 4 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94458, -188987, -283516?\nAnswer: -378045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/3 + s**2 - 5*s + 1767. Suppose 5*p - 3*n = -8*n + 5, -5 = n. Let q(d) = -2*d**2 + 2*d - 6. Give p*y(t) - 5*q(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from {u: 3, v: 9, d: 4}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8675 + 78828?\nAnswer: 70143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 590431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -96, -109, -124, -141, -160?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16468*k + 98871. What is h(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*x + 0 + 2 = 0, u - 3 = 3*x. Let y(q) = -4 + u + 4 + 2. Let d(o) = o + 1. Let i be 2 - 3*(-1)\/(-3). Determine i*y(c) - d(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let p = t + 18. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, j: 5}. Give prob of picking 2 g.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5513927533 to the power of 1\/2, to the nearest integer?\nAnswer: 74256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.7717 (b) 0.5 (c) 0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4) + 18\/(-8) - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*u)*(3 - 3 + 10*u) - 10*u**2 + 11*u**2 + 32*u**2 - 16*u**2 - 18*u**2 + 116*u to p*u**2 + d*u + s and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 12*t - 7*t)*(-2*t - 111 + 111 - t**2) + t**3 - 2*t**3 - t**3.\nAnswer: -12*t**3 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12888417?\nAnswer: 3, 71, 60509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 34. Let d be y(14). Let j be (-6)\/(-8)*(-32)\/d. Solve p - 2*p = -j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {c: 1, m: 2, t: 6, f: 9}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -14*h + 14. Suppose -10*u = -9*u + 34. Let g = 67 + u. What is the remainder when z(-6) is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1530892668296 - 0.3.\nAnswer: -0.1469107331704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2597 in 5013, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*g**2 + 86*a*g - g**4*n - 507*g**3*n + 41*g*n wrt g.\nAnswer: -4*a - 12*g**2*n - 3042*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1602 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9190960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/108141 and -19\/3509.\nAnswer: 1189551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -24722239.1 to the nearest 10000.\nAnswer: -24720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -18 - (-14 - -13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 272*w**3 - 3*w**2 - 818*w - 544.\nAnswer: (w - 2)*(w + 1)**2*(w + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -5. Let h = t - -18. Let p = -1 + h. What is the second smallest value in 0.04, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 10. Which is the smallest value? (a) t (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2.6. Let y be ((-123)\/205)\/(-1 + 1 - -3). Sort y, -1\/9, 0.4, l in ascending order.\nAnswer: l, y, -1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 + 454. Let d(p) = -p**3 + 13*p**2 + 5*p + 128. Let a be d(14). Suppose -2*j = -2*x + w, -a*j = -7*x + 4*x + 284. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-36)\/(-21))\/(4\/28)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8417.581 tonnes to kilograms.\nAnswer: 8417581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9038 (base 13) to base 11.\nAnswer: -13989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -155, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ac9 - -4c44?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -144 (b) 1 (c) -2\/15 (d) 1\/7 (e) 1\/6 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/9)\/((-6596)\/(-1746)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 11584627792?\nAnswer: -11584627790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gvggwgwwgwgvwgw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3115 at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m**2 + 16*m**3 - 10*m**3 - 58*m**2 + 31*m**3.\nAnswer: 37*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1145508 divided by 13\nAnswer: -88116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-4 + -1 + 189\/12). Which is smaller: -85 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -257444*t - 257456. Determine x(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.215?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 3326305.\nAnswer: 9\/3326305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + h = -15, 0*w + 4*h + 24 = 2*w. Solve 5*s = l + s + 11, -l - 7 = -w*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*p - 216, -5*p - 216*a + 315 = -221*a. Calculate the greatest common factor of p and 14219.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/1092)\/((-72)\/10080)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15) + ((-2109)\/360 - 396\/2376)\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 3:29 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 38*u - 58. What is o(40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975 + 1466 = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 360*p**3 + 596 - 604 + 1170*p**3 + 36*p wrt p?\nAnswer: 9180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41 (b) -43 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, -2, 3, -69 in decreasing order.\nAnswer: 18, 3, 1, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-279)\/(-660) + 3\/5. Let k = c + -251\/396. What is the common denominator of -65\/6 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c - 2*a = 34, 4*a = 2*c + 28. Let s be 31\/(-4) + 2\/c. Find the common denominator of ((-11)\/4)\/((-2)\/s) and -61\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151555 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/13 or 11212?\nAnswer: -105\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(24*10\/1600)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 4853108*w**2 - 1472033799040*w - 4416145075200.\nAnswer: -4*(w - 606640)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 p, and 1 u when four letters picked without replacement from {b: 2, y: 2, p: 2, l: 1, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64018408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 695209.\nAnswer: 5561672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 18. Let w be (-3 - -2)*(-10)\/q. Let x be -6*3\/(-12)*1. Which is the second biggest value? (a) x (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 22356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 + 2*w - 2*w)*(25*w + 6*w + 2*w**2 + 0*w) to the form y*w + j*w**4 + l*w**3 + d + h*w**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.148221.\nAnswer: 1.148221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -23484592\nAnswer: -4696918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2296*k = -2*r - 4589*k + 2289*k - 36, 0 = r + 3*k + 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + o**2 - 4*o - 3. Let w be a(-4). Let f = -36 - w. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414601*o**2 + 206199*o**2 + 208402*o**2 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.8 - 25. Which is smaller: g or 80?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/60*r**5 + 1\/24*r**4 - 4*r**2 - 7\/6*r**3 + 0 + 0*r. Calculate s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 320*r**2 - 3652*r - 11256.\nAnswer: -4*(r + 6)*(r + 7)*(r + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16212852?\nAnswer: 2, 3, 19, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q**(-6))**(-39)*((q**(-2\/5)*q)\/q*q\/(q*q*q\/(q**(1\/6)\/q)))\/(q\/q**0)**(-40) assuming q is positive.\nAnswer: q**(-12937\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137293 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t + 202. Does 23 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11*o = 600. Suppose -o*w = -63*w + 627. List the prime factors of w.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + 1.16. Let i = 1955\/9 - 217. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 1000680121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45470031 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1868, 3739, 5610, 7481, 9352, 11223?\nAnswer: 13094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -3 - (-20 + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.5, 1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 5*c + 35, 4*y + c - 39 = 0. Calculate the smallest common multiple of 6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.698 + -969035337.\nAnswer: -969035336.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 4*k - 1. Let i be c(3). Suppose i = 4*n - a - 82, 4*a + 72 = 4*n. Solve -4*y - n + 2 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 6*d + 5. Let h(a) = 2*a**2 - 1 - 3 - 16383*a + 16378*a. Suppose 2 + 8 = 2*w. What is w*h(n) + 4*l(n)?\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + n + 2*n)*(63 - 87 + 409).\nAnswer: -770*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708128374 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: Work out -2808 * -0.64011.\nAnswer: 1797.42888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/40*5\/30*8. Put j, -1\/7, -2 in decreasing order.\nAnswer: j, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/(-51)*(-2)\/(-16). Which is bigger: -1\/26 or p?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1053 + 1053. Factor 2\/17*z**2 + i - 2\/17*z.\nAnswer: 2*z*(z - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0.1077\nAnswer: 0.003231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b*q**2*t**3 + b*q - 118*b*t**3 - q**2*t**2 - 2*q**2*t - 286*q*t wrt t?\nAnswer: 42*b*q**2 - 708*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -202, -424, -734, -1132, -1618?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 88*h\/5 - 36.\nAnswer: (h - 2)*(h + 90)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose -5*o + 2331 = -2669. Suppose q + 3*i - o = -q, 3*q - 1503 = -y*i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 312 - 64. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9081 smaller than -9080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37734391 a multiple of 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, 19, 54, 103, 166, 243?\n\"Answer: 7*u**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 4*s + 1. Let o be d(4). Suppose 4*z = 3*a - 12, 20 = 8*a - 10*a - 2*z. Put o, -3, a in decreasing order.\nAnswer: o, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from neennn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**3 - 53*l**3 + 0*l**2 + 0*l**2 - 1. Let c be g(-1). Let i = c - 75\/2. Which is bigger: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1 + 2762?\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-147)\/5 + 6\/(-10). What is the remainder when 99 is divided by (-5)\/p - 595\/(-30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14000000 = -8*i. What is i rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 810 = -x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = i + 2*c, -30*c = -33*c + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6691*y**2 - 3043*y**2 - 3641*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 10*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 962 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -504.3 - -502. What is the second biggest value in 4, t, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/23 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -376. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 5*k + 6. Let c be ((-6)\/k)\/(2\/30). Let y(t) = -t + 5. Give y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w - 4*w = -3*d + w - 921, -20*d + 4*w = 7*d + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(108\/(-153))*(11 + -14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -398690\nAnswer: -7\/79738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (-1 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 - 9 = 0. Let u(t) = 3*t. Let v be u(a). Solve -2*z = -v*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 557, -3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1332020?\nAnswer: -1332030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1380*l*q**3 + l*q**2 + 287*l*q - 29*l - 35365*q**3 - 4498*q - 1 wrt l.\nAnswer: 1380*q**3 + q**2 + 287*q - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -3) + -7 + (2 - -8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*f + 46, 0 = a - f + 5*f - 29. Calculate the greatest common factor of 147 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p - 4. Let k(y) = 17*y + 3. Let d be ((-96)\/(-18) + -6)*3*2. What is d*i(m) - 5*k(m)?\nAnswer: -17*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 4, u: 1, s: 2, e: 1}. Give prob of picking 3 m.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (448\/(-20))\/(-7)*5. Let j(d) be the first derivative of d**4\/4 - 16*d**3\/3 + d**2\/2 - 14*d + 2. Let a be j(k). Solve a*g = -g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 9*y - 90 = -14*y, 4*k + 90 = 5*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*p + 60*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09727 + 1.07427. What is the biggest value in -1\/4, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.59*1101511.\nAnswer: 649891.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 15*n**2\/8 - 307251*n\/8 + 61449\/4 = 0.\nAnswer: 2\/5, 20483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/5 of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -22 + 3 + 11 + 25?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, -3\/5, 807?\nAnswer: 807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1652 - 1649. Solve -k*v = -2*n - 2 - 16, 0 = 2*n + 4*v - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-4)\/(-8)*3\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -1\/6*d**3 + 0*d + 1\/30*d**5 - 3*d**2 + 0 + 0*d**4. What is the first derivative of g(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31619, 31653, 31667, 31661, 31635?\nAnswer: 31589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 5*o - 14. Let s(j) = 4*j**2 - 4*j - 15. Let g(w) = -6*d(w) + 5*s(w). What is the remainder when g(-6) is divided by ((-2)\/(-1) - -13) + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -137*x + 49. Let i be j(-13). Suppose -78*f + 72*f + i = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j - 3*j)*(-3 + 3 - 2*j)*(2 - j**3 - 2).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-9))\/((-1)\/(-276)). Let i(p) = -j + 92 + 2*p**2. Let w(d) = 5517 + 19*d - 5517. Calculate w(i(b)).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 3. Let x be c(5). Is (36 - 0) + 0 - x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 43009364. Suppose -3*k + 5230150 = -j. Suppose 5*u + k = 33827497. Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadadyaydaaa. What is prob of picking 2 y and 1 a?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -104, 2\/9, 11, 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26420763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4, 0 = 5*r + 4*v - 3*v + 24. Let u be (3 + -2)\/1*r. Sort u, -2, 3.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 118.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 2*w - w + 5 + w**3 + 10*w**2. Is a(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1974 = -10*y. Let k = 331 - y. What is the third smallest value in -2\/5, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5562448852 to the nearest integer?\nAnswer: 74582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*2\/1. Let a = -70 - -73. Solve 0 = a*s + z*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 1 = -0*p + 2*p, 3*r + 9 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*p - l + 2*l, -3*p + 149 = l. What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 5. Let n be o(3). Let p = -40 + 40.2. Which is the second biggest value? (a) n (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62700 by 12540.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2110 and 20805866.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*v = -0*v + 18, 0 = 2*v. Let q = 63 - -25. Is q\/o - (-7)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.3 - -13. Let k = 0.1 - -1.8. Let h = k - 0.9. Which is the closest to -0.1? (a) h (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 36\/13, -2, -23, 31?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443998.7231 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.319 + 0.219. What is the third biggest value in g, 0, 1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5882.441 and -140179.\nAnswer: -146061.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19094 (base 16) in base 7?\nAnswer: 604655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + 5*j - 1. Determine b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37443\/4 - -9361. What is the closest to a in -9\/5, -3, -27\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.412137kg in tonnes?\nAnswer: 0.000412137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - k + 5*k - 20*k.\nAnswer: -k**3 - 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.0172 hours in milliseconds?\nAnswer: 990061920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l + 2. Let j(q) = -q. Suppose -2*v - 413 + 401 = -4*f, f - 21 = 5*v. Give f*a(k) + 2*j(k).\nAnswer: 11*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 30945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 26*i + 110. What is the lowest common multiple of 2 and j(10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.544 + -0.74. Let l = 0.19599872 + r. What is l rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*q**2 - 18*q**6 - 10*q**2 + 7*q**6 wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1912938\/5 - -63211729\/165. Let n = b - 514. What is the common denominator of n and 13\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/15 - 35*o**4\/24 - 7*o**3\/2 - 4*o**2 - 37. Let i be x(-8). Solve 4*j + 2 - 9 = -i*u, 3*u - 2*j = -17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9493858.\nAnswer: 2, 11, 397, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.38 + -142018629.\nAnswer: -142018623.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199 + -198. Suppose q + 78 = 5*z, q + i = 3. What is the highest common divisor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 3*l**2 - 5*l - 3. Let b be r(-5). Let a = 44 + b. Calculate the smallest common multiple of a and (-2)\/(1 + -7)*6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 6395\/39. Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujuuuujuuu. What is prob of sequence uju?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -113*o - 610. Let x(a) = -69*a - 305. Determine 3*u(i) - 5*x(i).\nAnswer: 6*i - 305","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4862*c + 7025. What is the ten thousands digit of p(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22224)\/(-3704))\/(3\/(-6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-476) + -6*5\/(-255). What is the third biggest value in -2, 6\/5, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15565, 30477, 45367, 60235, 75081, 89905?\n\"Answer: -11*t**2 + 14945*t + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 18 (b) -8 (c) 478\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76197986*l**4 + 23232*l - 34?\nAnswer: 914375832*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -24 + 4. Suppose -5*o - 2 = 3*j, 26 = j + 4*o - 9*o. Calculate the remainder when 75 is divided by (t\/j)\/((-4)\/114).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -291236, -582488, -873740, -1164992?\n\"Answer: -291252*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2551 and 5343 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -5, 1\/6, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 7*p. Let n(g) = -2*g + 3*g - 2*g - g**2. Suppose 5*k + j = 51 - 20, -2*k = 4*j - 16. Give k*n(u) + o(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 224 = -56. Let k(b) = 16*b**2 - 11*b - 12. What is the units digit of k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/9 - 27520*z\/9 + 1015502\/9 = 0. Calculate z.\nAnswer: 37, 13723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, c: 1, a: 3, j: 1, x: 3, d: 4}. Give prob of picking 1 d and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2088*i + 98144. Give o(-47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(-2 + sqrt(1573)*2 + -5))**2.\nAnswer: -4928*sqrt(13) + 101460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -98.8 and 1.5.\nAnswer: -97.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 6.\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*b = 2*u - 15, -5*u + b - 24 = 0. Put 4, u, 11, -3 in increasing order.\nAnswer: u, -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-12))\/(-7))\/((-13)\/(-26))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/(-12))\/((-4)\/(-12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(1 + 5 - 4)*(a**2 - a**2 + 2*a**4 + (a**2 - a**2 + a**2)*(a**2 - 2*a**2 + 0*a**2) + 4*a**2 - 4*a**4 - 4*a**2).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:50 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, 14, -0.851, 0.02 in ascending order.\nAnswer: -0.851, -0.1, 0.02, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547320 is divided by 32195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.7556ng?\nAnswer: 0.0000000000000097556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 46, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-578 - -1)*(-117 - -8) + -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33436000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-409)\/(-6) + 10\/(-60). Let n = 70 - d. Let o = 2 - 1. Calculate the remainder when n is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.071 (b) -0.258 (c) -0.5 (d) -4\/5 (e) -1 (f) 3.7 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/255? (a) 1\/5 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i - 7. Let l be c(-7). Suppose 3*k = 6*k. Suppose -x - 2*x + 15 = k. Solve 3*u - 5*u - 2*w - 2 = l, -3*u - x*w + 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 3*d - 59. Let z be l(10). Suppose -36*g + z + 449 = 0. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.9, 0.1, -100 in increasing order.\nAnswer: -100, 0.1, 15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3091 = 3*s, -4*f + 29*s + 12390 = 30*s. List the prime factors of f.\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 29. Suppose -2*c + 2010 = -8*r + u*r, 3*r + 1206 = 3*c. Calculate the common denominator of 47\/3 and r\/8 + 15\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:31 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35)\/((4*4470\/(-50))\/(-4))?\nAnswer: 2\/447","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4170*n**2. Let c(p) = 808*p**2. Determine c(y(r)).\nAnswer: 14050231200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*i = 458*i + 859*i - 38571 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 1818270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 16*d - 1. Let f(q) = 2*q**3 + 15*q + 2. Let o(r) = 2*f(r) + 3*n(r). Let i(m) = -2*m. What is -18*i(t) + 2*o(t)?\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a = 5*g - 4, 0 = g + 2*a + 4. Let p(q) = -24*q**2 + 44*q**g - 30*q**2. Let i(d) = -2*d. Calculate i(p(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/216*(-16)\/(-154). Let c = y - -65\/462. Solve -2\/3*x**4 - 2\/3*x**2 + x**3 + c*x**5 + 0 + 1\/6*x = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 9. Suppose -3*q = 10*q + 104. Does q = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*z - 32*z + 2548. What is the first derivative of -76*j**2 - 68*j**2 - 263 + 24*j**2 - j**3 + z wrt j?\nAnswer: -3*j**2 - 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*m + 66, 5*m + j - 168 = -46. Let o = -685 + 687. Solve -5*t - o = -z - m, 7 = 3*t - 4*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96909254.\nAnswer: 2, 13, 3727279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -0.23. Let i = 0.14 + k. Which is the closest to 0.1? (a) 3 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 206109216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -1568, -3669, -6648?\nAnswer: -10505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0 - 1\/2*m**2 + 2*m + 1\/6*m**3. What is a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*n**5 + 133*n**2 - 225648*n.\nAnswer: 840*n**3 + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k - 4. Give f(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12243 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-10)*-5*(8 - 24). Which is the nearest to q? (a) -1 (b) -2 (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3 + 77308*t**2 - 193054*t - 2.\nAnswer: -12*t + 154616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8)*1*2*-1. Let i(v) = -8*v**2 + 2*v - 4. Let c(m) = -9*m**2 + 3*m - 5. Calculate w*i(b) - 2*c(b).\nAnswer: -6*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:25 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 830 + 478. Let p = -1307.9061 + b. Round p to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*l + 10 = 51*l, 2*m = -3*l - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 2*v**3 - 14*v**3 + 14*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 0 - 15*b**3 + 1 + 9*b**2 + 33*b**3 + 4*b - 17*b**3 to r*b**2 + k + w*b**3 + j*b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -138 + 126. Solve 0 = 4*q + 5*a + 4, -4*a = g*q + 8 - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/q**(-4\/9))*q*q**2*q*(q*q**(-1)*q)\/q**(-12) assuming q is positive.\nAnswer: q**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + r - 13. Let s(f) = -f**3 + 15*f**2 + 20*f - 23. Let a be s(16). Let k = a - 50. Is 11 a factor of t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34925, -71474, -108023, -144572, -181121?\nAnswer: -217670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 393\/279 + 1 + -2. Let b = -8395\/744 + s. Find the common denominator of (1\/(-10))\/((-34)\/(-4165)) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 75 = -3*w. Calculate the remainder when w is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.442 * -1281.\nAnswer: 566.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1357, 1277, 1197, 1117, 1037, 957?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 6\/(-3) - -11. Let p = 24 - 9. Let u be (-4)\/6 - (-10)\/p. Solve 0 = -u*w - 5*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y**3 - 2*y**2 + 2*y - 1. Let c be 1\/(-3 + 26\/8). Let d be -3 + (2 - 2) + c. What is the remainder when 30 is divided by h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - m**2 + 7*m - 5. Suppose 3*l - 24 = 2*d, -l = 4*d - d - 8. Let j(q) = -52*q + 3*q**3 + 2*q**2 + l + 0*q**2 + 41*q. What is 8*i(c) + 5*j(c)?\nAnswer: -c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31112 (base 5) in base 16?\nAnswer: -7f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76115963 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2*c + 2. Let w be v(2). Let m = 12 - 10. What is the highest common divisor of w and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 9 - 3) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.36, 2\/9, -2\/7, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*1)\/(755\/604)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13934412)\/(-460) + (-3)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 355 = 2*r + 79, 4*g - 288 = -5*r. Is g greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -57*d**3 - 13*d**2 + 38*d - 13. Determine f(2).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (30 - (-16 + 25 + 4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165948467.\nAnswer: 109, 1522463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7145, -217\/6, 0.12?\nAnswer: -217\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 295 = 0. Is l*(0 + (3 - 4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 7:52 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4208*p**3 + 21*p**2 + 427*p + 11. Let w(f) = 2*f**2 - f + 1. Let b(u) = -d(u) + 10*w(u). What is the third derivative of b(g) wrt g?\nAnswer: 25248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/125890 and -49\/80.\nAnswer: 1007120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-3 - (-54)\/16). Let v(f) = -f - 5. Let h be v(u). What is the second derivative of 3*y - 4*y**h - y - 3*y wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 + 0.16. Let z(v) = v + 4. Let r be -2*3\/3*1. Let u be z(r). Which is the smallest value? (a) 0.3 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 31 = 4*b. Let v = 46 - b. Solve 4*p + 3*t - 20 = t, 3*p - v = 4*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/101139 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 24*d**2 - 290*d - 6949. Calculate s(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*k = 3*k - 891, 0 = -n - 4*k + 313. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 102 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 + 8*x**2 + 2 + 3*x + 0*x**2. Let g be l(-1). Suppose -2*d - 3*n + 2*n = -38, g*d - n - 34 = 0. Solve 4*k = -2 + d, 3*b - 8 = -5*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(180) + -1 + sqrt(180) + 2))**2.\nAnswer: 864*sqrt(5) + 25957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6601.258 centimeters?\nAnswer: 66.01258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2050 = 5*y, -5*o + 4*o = 0. Let b = y - -250. Let z = b + 245. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 656.3983ng?\nAnswer: 0.6563983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14835693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47587823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2901465 litres?\nAnswer: 290.1465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -66*r - 316 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.96 and -57.911.\nAnswer: -37.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 701797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -32.2. Let a = -59 - c. Let z = a - -22.8. Round z to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27731491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129930 is divided by 194?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c - 59 + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0*o + 49 - 8*o + 60 + 0*o. Let z be c(13). Solve 0 = d - 0*d - z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5*s - 12, -16*z + 20*z + 12 = 2*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 3*t + 2. Let c(i) = i**2 + i + 1. Suppose 5*k + 138 - 133 = 0. Calculate k*c(z) + v(z).\nAnswer: -4*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {h: 4, u: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 367, 691, 1007, 1315, 1615?\n\"Answer: -4*s**2 + 336*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 178 = p - 4*p, -5*o + 10 = 0. Suppose 0 = 3*j - 8*j + p. Solve 6*q - j = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-5) + (-1211)\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2410*n - 278629 + 133799 - 852056 = -11232*n for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 - 6 - -22 - (24 - 34)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t**5 - 4*t**3 - 16*t**2 - 4*t. Let p = 31 + -35. Let w(v) = v**5 - v**3 - v. Let l(h) = p*w(h) + z(h). Find the third derivative of l(a) wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/1531, 176, -3\/5, 2\/9, 0 in ascending order.\nAnswer: -3\/5, 0, 3\/1531, 2\/9, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*b**2 + 4*b - 4*b.\nAnswer: 185*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12)\/(-2) - 40\/150.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = 5*h, 7*h = 4*r + 2*h + 35. Let o = -39\/4 - r. Which is the nearest to 1\/4? (a) -2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10016 = 83*d - 27*d - 5104. Calculate the remainder when d is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -4. Suppose -4*f = -2*p + 3*p - 1, -3*p - 4*f + 11 = 0. Suppose 80 = 7*z - p*z. What is the remainder when z is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 67*l**2 + 24*l + 120. Let v(w) = 18*w**2 + 6*w + 32. Let x(q) = 3*m(q) - 11*v(q). Let r be (4\/(-10))\/(2\/10). Is x(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 1331650?\nAnswer: 1331664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 3}. Give prob of picking 2 m and 2 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**5 - 327343*p**4 + 2727713*p**3\/3 - 763745*p**2 + 109104*p + 218212\/3 = 0. Calculate p.\nAnswer: -2\/9, 1, 109106\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**3 - 4*c**2 - 5*c - 5. Let t(o) = -79*o - 312. Let b be t(-4). Let n(h) = 10*h**3 - 3*h**2 - 4*h - 4. Give b*i(x) - 5*n(x).\nAnswer: -14*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3647 and -107?\nAnswer: 390229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4*g = 4*z - 1856, 5*g - 2280 = -5*z. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6432.612 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.099 + -1.64. Let c = t + -0.45529. Round c to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*h + 90, 0 = -5*s - 2*h + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8.2 (b) -0.4 (c) -0.2 (d) -1135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 268914 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = 25. What is the units digit of ((-6)\/v)\/((-2)\/(-114))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2558 = -12*c - 926. Solve -16*m + 33*m + c = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 265*r + 260*r - 9, s + r + 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*x = -554*x + 16 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1\/15, -0.2, -3, 2 in ascending order.\nAnswer: -3, -0.2, -1\/15, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 3, n: 1, j: 2, d: 4, t: 3}. What is prob of picking 2 j, 1 z, and 1 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.4 (b) 615 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42740500 rounded to the nearest one hundred thousand?\nAnswer: 42700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 11 = -u, 51*u - 5*n = 54*u - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 3*x + 11. Let n be t(-5). Suppose -4*w - v = w - n, w = 3*v + 12. Calculate the highest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23016918 is divided by 1129.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105926846.\nAnswer: 2, 52963423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*l - 1 - 11, 0 = 4*n + 5*l + 9. Put 5, -3, n, 1 in decreasing order.\nAnswer: 5, n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -1, -336 in increasing order.\nAnswer: -336, -1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -281*i + 270*i + 131733 + 43970. What are the prime factors of i?\nAnswer: 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*u - 38*u + 2640. Solve -18*p = -7*p - u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 5. Let t(d) = d + 6 + 2*d + 2. What is the remainder when t(7) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*m - 2964 = -1329 - 599 + 5619 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2))**2 + -2 - sqrt(16)\/sqrt(32).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = 41. Let m(v) = v**3 + 12*v**2. Let f be m(c). Let p be (-1000)\/(-1625)*(-26)\/(-4). Sort -2, -3, f, p in descending order.\nAnswer: p, f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16284 divided by 5428?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t - 2*q - 7, -4*t + 5*q + 20 = 0. Solve -5 = -r, t*r - 24 = -d - 4*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 10. Suppose 0 = -3*q + 2*y - 3, -4*q = -3*y + y + 4. What is the tens digit of (w\/6)\/(q\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - (-3 - (-13 - -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 - 4*n. Let a be c(-3). Suppose 4*s + 19000 = a*s. Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 70623, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/7 + 1\/21. Let q = 0.118 + -7.218. Let x = -1.9 + q. Which is the smallest value? (a) g (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 25. Let w be u(-20). Suppose o - 10 = -2*m, w*o = m + m + 74. What is the second derivative of -19*a + 10*a + 12*a - o*a**2 wrt a?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 2*r**3\/3 + 312. Let s(b) = -b**2 + 1. Let y(q) = 9*q**2 - 2. Let c(i) = -2*s(i) - y(i). Calculate f(c(d)).\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 245*p + 3900.\nAnswer: -(p - 15)*(p + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22030094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-1 - (8 - (1 - -7))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2252*q + 1415*q + 173*q = -46080 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -251 divided by -4\nAnswer: 251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/5 + 55962*c\/5 + 82600224\/5 = 0. Calculate c.\nAnswer: -17038, -1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -2. Let i be ((-28)\/(-6))\/(j\/12). Calculate the lowest common multiple of 2 and (-6 + i)\/((-2)\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 and 13\/278045?\nAnswer: 278045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 1.3. Which is greater: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17b57 + -2?\nAnswer: -17b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -13*d**8\/84 - 2*d**7\/7 + 11*d**6\/30 + d**5 + d**4\/3 + 2*d**2 - 2. Suppose k(p) = 0. What is p?\nAnswer: -1, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3994.\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-2)\/(-2))\/((-84)\/(-105)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(147) - sqrt(147)*1)*-5 + 1 - (sqrt(147) - (sqrt(147) + ((sqrt(147) - (-1 + sqrt(147)))*-6 + sqrt(147) - sqrt(147)) + sqrt(147)))*6))**2.\nAnswer: -105840*sqrt(3) + 234612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**5\/120 - v**4\/48 + v**2\/2 - 1. Let i(u) be the second derivative of w(u). Solve i(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.951 to two dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 59 = -76*c - 1147 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53508879?\nAnswer: 3, 23, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 3. Let n(u) = 6*u - 15. Let h(l) = -22*f(l) - 4*n(l). Let w be h(-4). Let q(p) = p - 1. Determine q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -745 and 0.397.\nAnswer: -295.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48711 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95376?\nAnswer: 2, 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 - 20*p**2 - 16*p - 14. Determine f(-6).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -52*a**3 - 6*a**2 + 9*a - 22. Calculate g(3).\nAnswer: -1453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455 divided by -291?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18667 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -20. Suppose 3*k = 33 + u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 10 = -p. Let u be 2*1\/(p\/3). Let d(b) be the second derivative of b**3\/2 + 3*b**2\/2 - 2*b. Determine d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q - 18 = -25*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 727295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 373\/5? (a) -2\/3 (b) -5 (c) 1117 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 29*z + 3. Let p be t(-9). What is the units digit of (10\/((-50)\/p))\/((-1)\/(-87))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 39, 1, -5, -13 in descending order.\nAnswer: 39, 2, 1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-20)\/8)*0. Is 15 - o - (3 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -81, -84, -87, -90, -93?\n\"Answer: -3*n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1874 + -1873.97. What is the third biggest value in -3, m, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/1)\/(2 + -7). Suppose -3*l - a + 4 = 0, 2*l + 6 = a - 6*a. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -754 - -771. Solve 22 - n = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 171264 and -0.06.\nAnswer: 171263.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*w - 3*w = 12, 0 = -5*x + w + 33. Solve r - x = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 o when three letters picked without replacement from {a: 1, w: 4, o: 1, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11.13, -0.6, -1, 19\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/171 and 55\/6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9398 * 116.\nAnswer: 1090168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 3. Let m be z(-3). Suppose -5 + m = -r. Let b = 5 + -6. What is the closest to -1\/3 in 1, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1297283.1999892 - 1297362.2. Let r = w + 79. What is r rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24493\/126)\/(2\/93). Let w = -9045 + z. Calculate the common denominator of w and 9\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 2 + 1 + 1 + 3. Let z be h(8). Let l(o) = -o - 1. Let t be l(z). Solve 3*p = q + t*q + 18, p + 5 = -2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**4 + 52*g**3 + 210*g**2 - 262*g + 2. Let a(f) = 4*f**4 + 103*f**3 + 421*f**2 - 523*f + 5. Let l(t) = -2*a(t) + 5*r(t). Let l(q) = 0. Calculate q.\nAnswer: -22, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*2*sqrt(3) + (sqrt(12) + 1 - sqrt(12)) + -1))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331 + 383. Suppose 4*y + 48*y**2 - q*y**2 + 4*y = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 53 + -27 + 53?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22376 is divided by 1063.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-173)\/5 - 1\/5*(28 + -27)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129481776.\nAnswer: 2, 3, 899179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1) - (-6)\/(-1). Let b be 4\/a - 40\/(-28). Let j(s) = s**2 - 4*s + 4. Let p be j(3). Is p bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2257435 - 0.06.\nAnswer: 0.1657435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159707*q**2 + 467008*q**2 + 6*q - 3*q.\nAnswer: 626715*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*r - 2765*r - 506530 = 2688*r for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/528 - -2005\/3696. Let x = 4021873\/24 + -167572. Find the common denominator of x and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in 1\/9, 0.13, 11, -0.4, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1 - -1) + -46. Let t = w + 70. Suppose 47*y - 45*y = -3*o + 45, -5*y = 5*o - 105. Calculate the remainder when t is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4942802mg in micrograms?\nAnswer: 494.2802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -0.5, 0.4, -98, 23, 639?\nAnswer: 639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 39604.78ng?\nAnswer: 0.00000003960478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000000111011 + -1?\nAnswer: -1010000000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92089 + -644605\/7. Let -k*m + 2\/7*m**2 + 4 = 0. What is m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.64, 0.4, -420, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -6 (c) 2\/15 (d) 5 (e) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**5 - 5612*i**4 - 78*i**3 + 54282032*i**2 wrt i.\nAnswer: 60*i**2 - 134688*i - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c - 44*c**2 - 25*c**4 - 2*c + 44*c**2 wrt c.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 102\/27 + 4\/18. Let q be -8 - (-1 + l + -2). Calculate the common denominator of (120\/(-21))\/(q\/(-7)) and -73\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6998.557 - 2.\nAnswer: -7000.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 81*b - 82 + 1245 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 20, -126, -5 in increasing order.\nAnswer: -126, -5, 20, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/36))\/a*a*a)**(-14\/5)*((a\/(a\/a**(1\/4)))\/a)\/(a\/a**(1\/93)) assuming a is positive.\nAnswer: a**(-41387\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfncccdnfccfnqqdtqqq. Give prob of picking 1 f, 1 d, and 1 n.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -392, -438, -512, -620, -768, -962, -1208?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21740987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(144\/16)*80\/(-5)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**3*z**2 + 2074301*x**3*z + 2*x**3 - 12*x**2*z**2 + 2*x**2 + x*z + 517*z**2 - 30 wrt x?\nAnswer: 6*z**2 + 12445806*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, -111, 4 in decreasing order.\nAnswer: 4, -111, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -13, -3307.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 3:12 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 27, 7, 3006?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2)*40\/(-120) + 0. Which is the second biggest value? (a) -158 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**2 - 57*p - 76. What is x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*0\/(-1). Suppose g = -0*i + i - 5. Solve a = i*r + 3, -2*r + 7 + 1 = -5*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*y - 4*y. Find the common denominator of (y\/(-10))\/((-6)\/116) and 29\/(-28) - (-4)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/4 - 13*f**4\/4 - 51*f**3\/4 - 67*f**2\/4 - 7*f = 0.\nAnswer: -7, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 704362053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36623, 36608, 36593?\n\"Answer: -15*z + 36638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53\/196 + 1\/49. Let s = -0.6 + 0.1. What is the closest to 0 in s, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 + 938\/5. Let d = -374\/3 + 124. Which is the closest to d? (a) m (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 86 = o, 6*h - 207 = -3*o + 4*h. Solve 5 = -o*u + 76*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w - 2*u + 6 = 0, 5*u = 4*w + 15. Suppose 5*r - 30 - 10 = w. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*g - 118 = 23, -4*v + 327 = -3*g. Suppose 0 = 3*y - 4*h - v, 2*h + 2*h = -y + 42. Solve 2*k + u - 4 = 11, -5*k - u = -y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**5 - 43619*w**3 + 115094*w wrt w.\nAnswer: -20*w**3 - 261714*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542124659?\nAnswer: 191, 701, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/8 + 2)\/((-33)\/(-88)). Suppose 5*f = 3*f + 10. Put c, f, -4 in descending order.\nAnswer: f, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g - 100. Suppose -19*d - 51 = -3*t - 23*d, 0 = -4*t + 4*d + 96. Let l = g + t. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 6*f - 7*f - 13. Calculate the smallest common multiple of 4 and u(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 674, 682, 696, 716, 742?\n\"Answer: 3*t**2 - t + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 9*c**2 - 9*c + 9. Let r be b(8). What is the common denominator of -11\/20 and r + (-2)\/(16\/174)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**8\/14 + s**6\/30 - s**4\/12 + 73*s**2\/2 - 2*s + 7. What is the third derivative of x(w) wrt w?\nAnswer: -480*w**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10275974 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8)*1344\/30. Which is bigger: g or 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, 1 q, and 1 h when four letters picked without replacement from {h: 3, u: 3, q: 1, d: 1, w: 2, n: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3056 or 3054?\nAnswer: 3056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p**5 + 110*p**4 + 25*p**3 - 440*p**2 + 140*p = 0 for p.\nAnswer: -2, 0, 1\/3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u - 65. Let a = -8 + u. Solve 0 = 2*g + 3*z - 0 - 5, -a*g - 4*z = -16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4281.10647 + -0.10647. Let x = 4280.96653 - t. What is x rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664 + 2964 + 8194 = -293*g - 1933 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/71190 and 5\/21357?\nAnswer: 213570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48318340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 946*c**2 + 136*c + 2. Let p(l) = 2*l**2 + l + 1. Let v(o) = -5*p(o) + x(o). Find the second derivative of v(n) wrt n.\nAnswer: 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(99)\/(sqrt(18)\/(-2*sqrt(2))) - (((1*sqrt(132) - sqrt(132) - sqrt(132))*6 - sqrt(132))\/(sqrt(300) - sqrt(300)*2))**2)*4.\nAnswer: -2156\/25 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 4*w**2 + 19*w - 16. Determine q(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 3. Suppose 2*o + 4*b - 8 = 0, 5*o - b = 3*b + 34. Let r be g(o). Let d be (r\/6)\/((-1)\/(-10)). What is the greatest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*i + (i + 0*i + i)*(-1 - 4 + 4) + i + i - i)*(2383*i - 5315*i + 2623*i) to u*i**2 + j + r*i and give u.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (8 - 4))*0. Let n = 22 - 7. Solve 3*y = -q*y + n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*t = 284 + 4641 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 (base 7) in base 4?\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27909248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34*-0.306.\nAnswer: 0.10404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -50. Let c = 25 + -24.6. What is the smallest value in c, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 20*c - 15*c - 5, 4 = -3*s + 4*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 173099922369?\nAnswer: -173099922353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 327*x**2 - 8745*x - 9075.\nAnswer: -3*(x - 55)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 14. Let a be g(6). Suppose -27*n + 25*n = -a. Let c = 12 + 9. What is the remainder when c is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 divided by 59\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-0.374\nAnswer: 0.00374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736900 rounded to the nearest 10000?\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14384161609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 209 = 749. Let k be (492\/18)\/(3\/o). Round k to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99800 rounded to the nearest 1000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2 (c) 4 (d) 2.3 (e) 0.5 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.1 times 92?\nAnswer: 23377.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -2 - (-1830004 - -3). Suppose -2*c + 5*c - x = 0. Suppose u + c = 2*u. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 6*(sqrt(468) - sqrt(13)) - (sqrt(13) + (-5*sqrt(26)\/sqrt(2))**2).\nAnswer: -325 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 993386*h - 4. Let x(q) = -8*q**2. Calculate a(x(y)).\nAnswer: -7947088*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:42 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -7 - (-1 + (-41 - -30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -3\/5, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 25. Let y = 160.05589 + -172.0558. Let g = p + y. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5809 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 36. Let i(j) be the second derivative of 1\/12*j**4 - p*j + 1\/12*j**3 + 1\/40*j**5 + 0*j**2 + 0. Factor i(g).\nAnswer: g*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5246895 and 675?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1019*k - 657284. What is q(-645)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*p - 9, 3*l = p + 3 - 8. Let y be (0 - -1)\/(24\/20 + l). Suppose 4*f - 6*f = -2*b + 198, 0 = 3*b - y*f - 295. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -736*-1\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/65 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 13. Let c be v(8). Suppose 3*n - c*n = 0. Suppose -2*l + 5*l - 18 = n. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 3*d - d + d + 4 - 1 - 5 + (-4 + 4 - d)*(-2 - 1 + 2).\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*n - 351878*n**2 - n**4 + 1 + 351878*n**2 to z + c*n**4 + k*n + x*n**2 + w*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*p - 220*p - 21 = 0. Let z(d) = -d**2 - 3*d + 2. Let f be z(-2). Solve f = p*u - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.62, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:16 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 0*l**2 + 33*l**2 - 8*l.\nAnswer: 33*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 48 = 12. Let y be (-6)\/(-4) - (-8)\/(-224)*14. Put 0, -4, d, y in decreasing order.\nAnswer: y, 0, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 8595?\nAnswer: 8595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5779060*y**3 - 3*y**2 - 1090059*y wrt y?\nAnswer: 34674360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 1\/7*z**4 + 24\/7*z**2 - 20\/7*z**3 + 277 + 16*z. Factor u(s).\nAnswer: 4*(s - 14)*(s - 2)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/9))\/w)\/w**9*w**5*w**(2\/5))**(-2\/63) assuming w is positive.\nAnswer: w**(304\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/135394 and 101\/2926.\nAnswer: 1489334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -87 - z**2 - z - 1\/4*z**4 + 4\/3*z**3. Let r(h) = h**2 - 6*h + 7. Let p be r(5). Give f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13 (b) 0.12 (c) -0.7 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 + 48\/(-30). Let o(f) = -5*f**2 + 9*f**2 + 2 - f**2 + 3*f. Calculate o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -1612, -3591, -6362, -9925, -14280, -19427?\nAnswer: -25366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -63. Suppose -4*z + 20 + w = 0. Let x(y) = y**3 - 9*y**2 - 10*y + 6. Let h be x(z). Solve n - h = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(176))**2 - (sqrt(176) + 2 + 3 + sqrt(176))) + (sqrt(176) - (1*sqrt(176)*2)**2) + sqrt(176) + (sqrt(176)*1 - sqrt(176))*3.\nAnswer: -527 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 448259 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -1, -441673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 727462674*n**2. Let z(j) = -2*j. Determine z(h(t)).\nAnswer: -1454925348*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-8)\/(14136\/155))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67444381489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1059 + 7*o - 1059 + (2 - 5 + 5)*(5*o + 0*o - 4*o) to i*o + q and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*y**4 + y**2 + y**4 - y**2 - 60 wrt y?\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-30))\/((2\/(-579))\/2) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234249098 + 270.\nAnswer: 234249368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + k)*(-1 + 1 - 9 + (0 + 0 - 1)*(0 + 0 + 1)).\nAnswer: 50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16082 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*n + 4 - 0, -21 = 4*d - 3*n. Let t(x) be the third derivative of 1\/2*x**3 + 0 - 51*x**2 - 1\/4*x**4 - 1\/60*x**5 + 0*x. Give t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-6812)\/4095 - -10?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 - 6 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 13, y: 3}. Give prob of sequence cyk.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/d**(-5\/3))\/d)\/d)\/d*d**(-2\/7))\/((d**(-2\/25)\/d*d)\/(d\/(d**8\/d))))\/(d**(3\/7)*d**(-7)*d**(2\/17)*d**8) assuming d is positive.\nAnswer: d**(-72161\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 41. Suppose 2*y - 121 = -q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 10960 - 10960.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -1140.297?\nAnswer: 1143.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-4\/9))\/(p\/((p**(-1\/3)*p)\/p)))**(-39))**(2\/9) assuming p is positive.\nAnswer: p**(-26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11288 + 11286. Let i = 2.2 - 1.9. Sort 4, i, -30, q.\nAnswer: -30, q, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95008837 or -2\/5?\nAnswer: -95008837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*n - 405, -n - l + 159 = n. Let b be (15\/9)\/5 + n\/6. Find the second derivative of b*g - 101*g**4 + 72*g**4 + 11*g wrt g.\nAnswer: -348*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -136576*c - 7238512. Give i(-53).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -26.4323908477257\nAnswer: -26.7323908477257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41870 - -42041. What is the remainder when 966 is divided by d?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:36 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56.9? (a) 0.09 (b) -5 (c) -0.4 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 11, 20, 33, 50, 71, 96?\n\"Answer: 2*x**2 - x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28655 = -355*o + 344*o. What are the prime factors of o?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1350502 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*q**2 - 21*q - 11*q**2 + 21*q to the form h*q**2 + g*q + d and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyo when four letters picked without replacement from {o: 7, y: 4, e: 5, x: 2}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s - 2740 = 2030 + 1730 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 7119801*g**3 + 12672895129800*g**2 - 12672888010000*g = 0. What is g?\nAnswer: 0, 1, 3559900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13764 and 455692.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j**2 + 6*j + 23. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*i + 8*i - 38 = 2*i - 144, -15*r + i = -20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126991\/24 - -5289. Let d = 354859\/3 + -118289. What is the common denominator of l and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -6*w + b, -5*w + 15 = -3*b + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + -17.4. Let h = -18 - n. Let l = 85 - 85.5. What is the third biggest value in -2\/17, -5, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 5, m: 7, d: 2, q: 1}. What is prob of sequence bm?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 28.9. Let k = z + 2.9. What is the nearest to -0.07 in -2\/17, 1, k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(7)*2 + -3)*2)**2 - (3*(sqrt(343) - (1 + sqrt(343) + sqrt(343))) - (4 + -1*sqrt(343))**2).\nAnswer: 109*sqrt(7) + 1406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0267745856 to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77.4 + -88. Let t = 8.66 + a. Let n = t - -1.7. What is n rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11100180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - l + 43 - 7 = 0, 5*l + 80 = 5*q. Let b = 12 - q. Does 9 divide 2\/b*(-10 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3 + 3472\/(-480) - -2 and -1 + (-54)\/(-55) + 8\/(-20)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2958455954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.2, -0.06, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -3*z**6\/10 + z**5\/5 + 17*z**3\/3 + 82*z. What is the second derivative of b(h) wrt h?\nAnswer: -108*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57652\/(-23856) - (-5)\/4*2\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -0.23. Let k = f + -0.01. Which is the second biggest value? (a) 2\/11 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i + 4940*i**2 - 4926*i**2 - 3*i - 1. Let a(x) = -5*x**2 + 3*x. Determine 8*a(n) + 3*l(n).\nAnswer: 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49573 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.43712*-0.3.\nAnswer: -0.431136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 2*l**2 - 4. Let r be f(-5). Let v = r - 191. Let c(n) = -n**2 + 12*n - 17. Let a be c(8). What is the highest common factor of v and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 88*r. Let j(q) = -166*q. Let v(g) = -36*g. Let y(i) = -3*j(i) + 14*v(i). Determine p(y(l)).\nAnswer: -528*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)\/j**(-5))**(-1\/48) assuming j is positive.\nAnswer: j**(-31\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -119. Suppose 2*x + x = -4*o - 108, -5*o + w*x - 166 = 0. Is 79*3 - o\/10 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*o + 252*o + 59*o + (2 - 2*o - 2)*(4 + 3 - 5) + 0*o + 3*o - 5*o to u*o + i and give u.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9177 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - l - 1. Let o be j(-1). Let d(t) = -t**2 + 12*t. What is the units digit of d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/657 and -67\/17416194.\nAnswer: 52248582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1683, 2\/5, 0.1, -15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + (-5 - (-13 - -8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -630*m - 629*m - 2571 - 6504 - 634*m + 1892*m as j + s*m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*m - 395*m - 3*m - 3.\nAnswer: 14*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 5 - 3 + 1 + (2*o - o + 2*o)*(-4*o**3 - 7*o**3 + 5*o**3) to v*o**4 + g*o**3 + f + d*o + n*o**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(-3\/13)*(x**(-1)*x*x)**2 assuming x is positive.\nAnswer: x**(176\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58200\/(-264) - 12\/22. Let c = -208 - h. Solve 4*b + c = l, 3*b + 6 + 8 = 5*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -30\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u - 1. Calculate w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*g = -7, 7*w + 5*g = 2*w - 5. List the prime factors of 59 + -1 + (-1 - (w - 5)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/(2 - 5). Suppose -203*g + 4*l - 1 = -206*g, 3*g = -3*l - 3. Sort -6, w, g in increasing order.\nAnswer: -6, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 1) + -251 + 264 - 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8366*k + 6. Let g(i) = -8337*i + 8. Determine -4*g(o) + 5*j(o).\nAnswer: -8482*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 229. Let m(i) = -1050*i + 6. What is d(m(q))?\nAnswer: -2100*q + 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 3)\/(45\/(-36)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 + 16?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 2*u**2 + 12*u. Let r be k(-4). Let o = r - -16. Is ((-6)\/33 - o) + (-984)\/(-88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 2*y + 2. Let g be i(4). Let t = -35 - g. Let w(a) = -a**2 + 13*a - 6. What is the remainder when w(6) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 4*z + 2 - 5. Suppose 13*k + 12*k - 3475 = 0. Suppose -10*v = 179 - k. Give f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*k - 34*k + 176. Suppose -2*s = s - 45. What is the remainder when ((-189)\/(-12))\/(6\/k) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-6)\/((-258)\/127) + -4). What is the second smallest value in g, 2, 0.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) 53 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - 51114?\nAnswer: -51044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, w: 9}. Give prob of sequence lw.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 893 and 0.823.\nAnswer: 734.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 80*r**3 - 624*r**2 + 128*r + 3328.\nAnswer: 4*(r - 4)**2*(r + 2)*(r + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 627*b**2*s**2 - b**2 + 3730*s**2 - 2*s wrt b.\nAnswer: 1254*b*s**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832177.6 millimeters to meters.\nAnswer: 832.1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187.06 - 86.77. Let q = m + 0.71. Let y = 100.99836 - q. Round y to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 10 + (1385 - 1320)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*h + 32 = 0, 16906*j - 16909*j + 2*h = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354929 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: Is 160807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmz when three letters picked without replacement from {m: 2, z: 4, o: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 402 - -3?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 26*s**2 + 5*s - 59. Let w be y(13). What is the hundreds digit of (4797\/(-78))\/(w\/(-148))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 5*g - 4. Let l(q) = q**3 - 10*q**2 - 12*q + 6. Let d be l(11). What is the remainder when h(d) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 12*k + 8. Let j be q(-9). Let m(c) = -7*c - 34. What are the prime factors of m(j)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 33 + 0*k**4 + 6\/5*k**5 + 0*k**3 + 0*k - 29\/2*k**2. What is the second derivative of b(y) wrt y?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 688 + (-3 - (-2 - 3)). Is (d\/(-9))\/((-4)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 2*v - 40. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 3 = 53 + 16 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*f - 23*f - 20*f)*(-17 + 27 - 21)*(0 + 3 - 5).\nAnswer: -2684*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 - 3*g - 3. Let p be x(-3). Suppose -c - n = -p, 4*c + 7*n - 57 = 2*n. Calculate the lowest common multiple of c and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25320*x**4 - x**3 - 485144*x**2?\nAnswer: 607680*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.035 - 1.415. Let l = w - -1.343. Let p = l - -0.106943. What is p rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20189201 is divided by 447.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*a - 492, -6*k = -3*k - 12. Let c be 204\/1200 - 8\/a. What is the nearest to -4 in c, 3, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:00 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 - 1. Let s be (21\/(-14))\/((-6)\/u). Which is the nearest to -1? (a) s (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*j - 16*j - 15*j)*(-j + 3*j - j) + 16*j**2 - 11*j**2 - 10*j**2 as k + t*j + b*j**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 + 502\/5. Let z = -1712 + 1714. What is the closest to o in -2, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -120. Let w = 40 + s. Calculate the remainder when 16 is divided by (-2 - 2\/(-4))\/((-18)\/w).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 + 0 = 0, 3*s = 3*h + 18. Let g(f) = -s*f**2 + 0*f**2 + 25*f - 25*f. Let q(u) = u. What is q(g(r))?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -192 + 138 + (24 - -4) + 19 + 105 + 0?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 + 16*i**2 + 3*i**2 as l*i + x*i**2 + o and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30819227.\nAnswer: 30819227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546920 and 32?\nAnswer: 2187680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 19*l**2 - 9*l**2 - 29*l**2. Let r(y) = -63*y**2 + 3*y. Give r(d(k)).\nAnswer: -22743*k**4 - 57*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 4\/15405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50425.53 - -50135. Round b to 0 dps.\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 10*p**2 + 33*p + 166. Let w be n(-8). What is the highest common factor of 555 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**2 + 70*x**2 - 24*x**2 - 17*x**2 - 7*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 73, 0.3, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.7 (b) 0.2 (c) 64 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1144 and 2926.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/4158 - (-41)\/(-574).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 33, 12, -29, -96?\n\"Answer: -n**3 - n**2 + 3*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -1\/280*v**6 + 0*v - 8*v**2 - 9\/140*v**5 + 0*v**3 - 5\/14*v**4 - 3. Let m(k) = 0. What is k?\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 4. Suppose 3*f - 16 = y*f. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:22 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246856 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 15\/10 + (-444)\/(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -848*l**3 + l**2\/2 - 917*l + 449. Find the second derivative of u(k) wrt k.\nAnswer: -5088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3431?\nAnswer: -3430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 0 - 13 - 3*1. Let v(j) = -j**2 - 10*j - 10. Let l be v(x). Is -9\/28 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1419 and 10454961?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(6)\/sqrt(2)) + 0 - sqrt(3))*3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -28*u - 7. Let o(p) = 7*p + 2. What is 21*o(a) + 5*v(a)?\nAnswer: 7*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 12, v: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 15 + 2*g - g - 2*g**2 - 37 as j*g**2 + n*g + r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72272 by -396.\nAnswer: 18068\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32593*g**4 + 86*g**3 + 2 + 2*g**2 + 3*g - 3 + 16297*g**4 + 16297*g**4 to w + f*g**2 + a*g**3 + o*g + h*g**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/152)\/((-6)\/4). Let t be 3\/30*18 - 1. Sort -2, t, u in increasing order.\nAnswer: -2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-28) + 2 + 0. Which is the second smallest value? (a) -1\/7 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5700 by -1140.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 6*i**2 + 9*i - 11. Let u be k(8). Calculate the common denominator of ((-104)\/(-96))\/13*u and 56\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 6 - 7 - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 10. Suppose 2*y - 3*t = -0*y + 19, -2*y + 49 = 3*t. Let k be f(y). Solve 0 = k*i - 5*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m + 3*r, 4*m - 21 = 4*r - 1. Let i(a) = a + 1. Let o be i(m). Suppose -2*h + o*h - b = 35, -3*h + 2*b + 37 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966787643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -127255.34 rounded to the nearest 1000?\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/20 + (225\/220)\/3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + 15. Suppose t + 2*t - g = 0. Suppose t = 5*z - 3. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10583 - 31748\/3. Let i = -36.6 + 41. What is the biggest value in 0, -0.5, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1 + -4 + -27 + 60. Solve 0 = -5*z - 4*w - t, -3*z - 3*w = 2*w + 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*y - 4*y + 58 + 16*y + y wrt y?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 1706*p**3 + 14*p**2 - 1714*p**3 + 3*p + 6 as v*p**3 + x*p**2 + y*p + d and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Let r be 2 - (24*-4 - x). Suppose 5*a = -w + r, 2*a = a - 3*w + 8. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3552 is divided by 194?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - u**4 - 5*u**4)*(798 - 798 + 181*u).\nAnswer: -1086*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 206, 229, 252, 275?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0488 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 9*z + 5. Let i be t(-9). Suppose -3 = -2*q - k + 32, -q + 22 = i*k. Solve -2*c = v + 6, v + q = -4*v + 3*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z + 1. Let b be (4 - 63\/12)*8. Is l(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 5, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 28 = i. Suppose 4*u + 84 = 4*p, 108 = u + 112. Let d(t) = -t**3 + 22*t**2 - 82*t - 26. What is the remainder when d(p) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28594 is divided by 1052.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/38850930 and -25\/18?\nAnswer: 38850930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -19.8 (b) -683 (c) 1 (d) -0.2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*h*l**2 - 30*h*l - 167*h - 47*l + 3113 wrt l.\nAnswer: 90*h*l - 30*h - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 0.06 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 6*w**2 + 8*w - 7. Let x be q(5). Solve -4 + x = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52274357 and 4126.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 29*l**2 + 2*l**3 - 6 - 22*l - 11*l**2 + l - 17*l**2 - l**4 to the form j*l**3 + y*l + b*l**4 + c*l**2 + u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4181325?\nAnswer: 3, 5, 197, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265760, -531324, -796888, -1062452, -1328016?\nAnswer: -1593580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6440*j**2 + 6361*j**2 - 5069*j**2 + 2331*j**2 + (j + j - j)*(-2*j + j + 2*j).\nAnswer: 10064*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76682682 to the power of 1\/2, to the nearest integer?\nAnswer: 8757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-28) + 0 - 1720\/(-35). Calculate the remainder when x + (6 - (7 - 1)) is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-84) - 1\/(-14).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -86*a**2 - 91*a + 13. Calculate b(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*v**2 + 44 - 30 - 29 as m*v**2 + b*v + j and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6)*q*q*q*q\/(q\/(q*q*q*(q**(-1)*q)\/q*q))*(q\/(q*(q**(-1\/2)\/q)\/q))\/q**(5\/3) assuming q is positive.\nAnswer: q**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b. Let k = b + 11. Let p(f) = f**2 + 5*f + 4. What is the remainder when k is divided by p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 13\/19 (b) 0.2 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15))\/(78\/(-130))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - 47. Let c be ((-4)\/(-2) - 0) + 3 + w. Let q = -86 - c. 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 remainder when 85598 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + (-3 - 3) + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.54? (a) 10 (b) 2 (c) -4\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1245, -1261, -1287, -1329, -1393, -1485, -1611?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 8. Give l(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmdmmdkmda. What is prob of sequence km?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 672.9 and 4.\nAnswer: 2691.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -190 - -226 - (18 - -1) - 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 - 1. Let f(y) = 8*y**3 - 6*y**2 + 6. Let q(p) = 2*p**2 + 10*p + 6. Let u be q(-3). What is u*l(v) - f(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/152 or -165.287?\nAnswer: -165.287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -499, 1 in decreasing order.\nAnswer: 4, 1, -10, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 2098*v**3 + 1102497*v**2 + 2198704*v + 1098304.\nAnswer: (v + 1)**2*(v + 1048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34227 + -15121. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*g - 11253, 4*u - 8*g + 9032 = -3*g. Let x = u + 8969\/4. Let q = -5\/596 + 3951\/298. Calculate the common denominator of q and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/35 + (-6)\/(-10). Suppose o = -2*h + 7. Solve -h*c = -2*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21184?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -3.4. Let y = -16 - p. Let w = y + 18.5. Put 0, -2, w in increasing order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 8*i**2 + 10*i - 4. Let o be g(9). Suppose 0 = -3*n + u - 6*u - 19, o*n - 25 = 3*u. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 52*q - 34*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 11*z + 6. Let v(y) = -y + 40. Let k be v(7). Suppose -k = -4*x - 17. Suppose x*h = -3*c - 37, -3*h - 2*c - 1 = 27. Give q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c - 1104 = -15*c. Let h = 152 + c. Suppose 9*o + 41 = 10*o. Calculate the remainder when o is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 1 (c) 5 (d) 0.03 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -4b21?\nAnswer: 4b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685*u**2 - 6 + 667*u**2 - 1350*u**2 + 6.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 594*j - 2. Let q(p) = -p. Determine q(o(y)).\nAnswer: -594*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v - 109. Let b be r(-13). Let o(y) = -y**3 - y**2 + y - 1. Let a(f) = -5*f**3 + 4*f**2 + 6*f - 11. Let x(u) = a(u) - 4*o(u). Calculate x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 78 = 2*r - 0*c, 5*r + 4*c - 212 = 0. What is the units digit of (r\/6)\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 14*y - 13. Let c be a(7). Calculate the greatest common factor of c and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499137293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1671 + -0.0329. Let o = -0.4 - -0.3. Sort o, 4, -3\/5, w in ascending order.\nAnswer: -3\/5, w, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 20. Let o(v) be the first derivative of 2*v**2 + 39*v - 2193. Calculate -3*o(g) - 5*y(g).\nAnswer: -2*g - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/66*27\/96)\/(14\/(-80))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*p - 5*w + 23, -5*p - 2*w + 26 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3 (b) 1\/3 (c) 155 (d) 7\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 85*i - 763. Let t be n(9). Let l(m) = -10*m + 13. Calculate l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 795745*b**4 + 2*b + 40685 with respect to b.\nAnswer: 3182980*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 12 = 0. Suppose 3*h + 0*x + 3*x = 6, 0 = 3*h - u*x - 18. Suppose 0*d = h*d - 308. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/60 + 3*p**4\/8 + 25*p**3\/6 + p**2. Suppose 172*o - 157*o + 75 = 0. What are the prime factors of r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = g - 1, 11*g = 16*g - 3*i - 107. Solve 28*h = 23*h + g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4020 and -345.58?\nAnswer: 1389231.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 14 = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*-5*(sqrt(75) + sqrt(75) + 2)*-2)**2.\nAnswer: 4800*sqrt(3) + 30576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/915597 and 69\/4?\nAnswer: 3662388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14550820 and 32.\nAnswer: 116406560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**13\/a)\/(a*a\/(a\/(a**12\/a))*a))**(-1\/2))**(-27\/5) assuming a is positive.\nAnswer: a**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 251, -4 in decreasing order.\nAnswer: 251, 5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = 3*p. Let s(o) = 2*o**2 - o - 1. Let r be s(p). Suppose 0 = -5*y + 2*t + t + 20, 4*y = r*t + 18. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 18 = -5*z - 10, 12 = 2*g - z. Suppose 4*q + g*f = 32 - 12, -3*q + 3*f - 15 = 0. Suppose q = -x + 2*x - 2. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 14*i**2 + 38*i + 13. Determine v(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjftmmqtmjmzffq. Give prob of sequence zmjf.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 3*a**2 - 11\/6*a**3 - 1\/30*a**6 - 2*a + 1\/4*a**4 + 6 + 3\/20*a**5. Solve i(w) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 31. What is h in 12*h - 4*h**2 - u*h**3 + 1 + 6*h**3 + 7 - 6*h**3 - 4*h**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:37 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204860870 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.1. Let d = 648 - 647. Which is the nearest to u? (a) d (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = -27*t - 39174. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1\/2)\/(224\/192))\/((-15)\/(-70)). Let h be 2 + 1 + (-1 - 2). Suppose h*r - 16 = -2*r. Solve -4*y = 4*o - 0*y - r, 0 = -p*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.37 + 2.57. What is the nearest to -1\/53 in c, -1\/2, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1690 or -29?\nAnswer: 1690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621 (base 10) to base 16.\nAnswer: 26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18a6b + 63?\nAnswer: -18a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (290\/30 - 10)*-192. Solve 15 = 3*z + a, 4*z = p*a - 62*a + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 14. Let z = s - -7. Let w(v) = -v**2 - 6*v - 4. Let c be w(-4). Calculate the greatest common divisor of c and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f - 2. Let u(c) = 11*c + 1. Determine 4*q(d) + 5*u(d).\nAnswer: 7*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**4 - 20*b**3 - 25*b**2 - 10*b = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q - h = -76*q - 289, h + 71 = 14*q - 17*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8876630 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1647236\/7313235 + 1\/65885. Calculate the common denominator of c and 127\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*d**3 - 5*d + 188.\nAnswer: 129*d**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 28038154.66797?\nAnswer: 28038154.26797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 7840*t - 574035.\nAnswer: -5*(t - 1491)*(t - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -75685896.8 rounded to the nearest one hundred thousand?\nAnswer: -75700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - -2399e?\nAnswer: 2398a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let b(y) = y - 10. Let q(g) = -b(g) + 4*h(g). Let c(j) = -8*j - 17. What is -4*c(m) - 11*q(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 6*i - 2*i + (1 - 3 + 4)*(3*i - 3*i - 2*i))*(6 - 81 - 96)*(-5*i - i + 5*i) + (3*i - 2*i + i)*(i + 0 + 0).\nAnswer: -511*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.900974 grams?\nAnswer: 0.003900974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144.01 + -149. Let h = 0.1 + -0.09. Let v = h - o. What is the nearest to -0.1 in v, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77491\/5 + 15498. Suppose 11 = 5*i + n + 1, 2*n + 13 = i. Let x = i - 5. Which is the nearest to -1? (a) x (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + -2 + 218 + -216?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*w - 5 - 1, -3*w = 3*o - 3. Solve 1 = o*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000625758 to 5 decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27965 + -16287. List the prime factors of j.\nAnswer: 2, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**3 + 33*b**2 - 44*b + 20. Let w(y) = -4*y**3 + 16*y**2 - 22*y + 10. Let l(p) = 2*t(p) - 5*w(p). Factor l(d).\nAnswer: 2*(d - 5)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 2072, 0.3, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-2)))\/t**(-5)*t**(-1)\/(t\/(t**(-1)*t)))**(1\/51))**(-2\/41) assuming t is positive.\nAnswer: t**(-10\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 6. Give k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264 + -15442?\nAnswer: -15145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -26*b + 15, 13*x - b = 7*x + 7*x + 10 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 20*u**2 - 3. Determine c(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayyxxxyayxyx. What is prob of picking 1 x and 2 a?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16 * 0.0298.\nAnswer: -0.034568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by 19?\nAnswer: 213\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*x**2 - x + (-3*x + 2*x + 0*x)*(7*x - 9*x - 10*x).\nAnswer: 14*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -36*x**3 - 396*x**2 + 934*x - 21. Determine m(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, -71, 0.07 in descending order.\nAnswer: 1\/4, 0.07, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*t + 54382, 0*y - 4*t - 27213 = -y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 = -7*f. Solve f*y - 6 = 2*p, 4*y + 12 = -7*p + 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, 3 in decreasing order.\nAnswer: 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -37. Let j = g - -28. Let l = -0.2 - -0.4. Which is the nearest to -1\/3? (a) l (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*q - 18165 + 18165.\nAnswer: -29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -288. Suppose 3*w + 1652 = g*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10295 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*u**4 + 14*u**2 + 7087*u + 2.\nAnswer: 1260*u**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*p**5 + 1105*p**4 - 4835*p**3 + 215*p**2 + 8930*p + 2760 = 0. Calculate p.\nAnswer: -1, -1\/3, 2, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107 and 1.29.\nAnswer: 138.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 + 8*p + 9. Let b be q(-6). Let f = b - -6. Suppose -3*j - 2 = 5*a + 14, 3*j + 1 = -2*a. Put 0.3, f, a in ascending order.\nAnswer: a, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/7 - -4\/21. Let m = 330.157 - 316.31. Let a = 0.847 - m. Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2272580 and 10945?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z. Let w(f) = -4266*f**2 + f - 1. Calculate w(x(q)).\nAnswer: -106650*q**2 + 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 3*l - 5*l - l**3 + 0*l**2 + 2 - l**2 in the form t*l**3 + k + a*l**2 + n*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2054 and -34\/2171?\nAnswer: 343018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 3*n + 2*n**2)*(-5*n + n + 7*n) + 4*n**3 - 12*n + 12*n to the form q*n**3 + d*n + y + p*n**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o + 2*o + 603 - 29*o + 19*o as c + s*o and give c.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4502057 is divided by 68209.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4390 + 78991\/18. Let i = -179\/228 - 50\/19. Calculate the common denominator of t and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 24. Let l be ((d\/(-2))\/4)\/(15\/60). Let x(n) = -5*n - 4. Let r(j) be the first derivative of -j**2\/2 - j + 14. Calculate l*x(i) + 4*r(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 27 - 41 + 28. Let u be p(10). Is (-2)\/(u*4\/(-4904)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 + z**2 - 9*z - 34. Let p(m) = -m**3 + 10*m**2 - m + 7. Let o be p(10). What is the remainder when l(o) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 + 179 - 517 + 168 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/3 - 902*h**2 + 40172*h - 1331000\/3 = 0.\nAnswer: -2750, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(133\/(-45)) + 7)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t + 9. Let r be y(-4). Let h = r - -13. Let n = h + 4. Let k(z) = -z**2 - 4*z - 3. Determine k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12794 + -49.12794. Sort 1.7, -2\/11, u.\nAnswer: u, -2\/11, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1566 (base 7) to base 12.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i - 7. Suppose z + 4*p - 11 - 3 = 0, 2 = p. Let t(j) = -7*j - 7. Let v(n) = 6*n + 6. Let u(w) = z*v(w) + 5*t(w). What is q(s) + 6*u(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*z = -5578, -13407 = -4*c + 3*z - 2251. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317525010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-12)\/(1 + 3). Suppose 0 = -4*d + p + 10, -d - 2*p - n = -4*p. Is -3 - (d + 47)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4079979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 + 7*w**2 + 3. Let i(m) = -6*m**3 - 13*m**2 - 7. Let f(c) = 4*i(c) + 7*s(c). Let r(h) = 2*h**3 + 2*h**2 + 4. Calculate -4*f(d) - 7*r(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 493731557 <= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -27, -40, -53, -66?\n\"Answer: -13*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -4, 4, -30, 24 in decreasing order.\nAnswer: 37, 24, 4, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2 - 13. Let x be 6\/(-2) - i\/5. Is 13 a factor of (-4)\/12 + (-218)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:10 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*m + 3. Let p(o) = o + 4. Let b(k) = 4*k + 12. Let l(q) = m*b(q) + 7*p(q). Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 3*z - 9. Calculate u(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a**2 + 4*a**2 + 0*a**2 + 3*a**2. Let i(z) = -4*z. Calculate i(f(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 2. What is the third biggest value in -0.4, n, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8308915)\/(-165) + (-8)\/132 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -104?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 17*g - 115. Let q be v(33). Let x = q - 426. What is the least common multiple of 10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000587613 to 6 dps.\nAnswer: 0.000588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 24\/7 + 40\/7*b**3 - 6\/7*b**4 - 18\/7*b**2 - 40\/7*b = 0.\nAnswer: -1, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o - 4. Is v(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21461 is divided by 1246.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + (-4)\/10. Let q = k - -2. Let r be -2 - (q - (0 - -3)). Solve -f = -r*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 + 3*i - 1. What is g(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6390\/3834*12\/32*2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 58)*(-4)\/(-8) - 1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1207\/11 + 111. Let o = p + -92\/55. Let m be 2\/(-5)*(-1)\/2. What is the biggest value in o, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*j = 300*j + 54168 - 15574 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204*p = 1203*p + 5. Suppose -4*m + 3*i - 2429 = 0, i = -p*m + 3*i - 3038. Round m to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 11, a: 5}. What is prob of picking 2 k?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, 9, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.3 - 12.69. Let x = 0.39 + j. Is 10 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.96233505 + -2.964. Round p to 5 decimal places.\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*l**3*m - 46*k*l**3 - 3*k*l**2 - 241*k*l + 2023*k*m**2 + 2*k + 8*l**3*m wrt m?\nAnswer: -k*l**3 + 4046*k*m + 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0152974*146.\nAnswer: -2.2334204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68c0 (base 13) to base 16.\nAnswer: -3962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 326 - 257 - (0 + -69).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.8140409 to 1 decimal place.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/((12\/(-8))\/((-6)\/8))*2. Solve 0 = -4*t - 0*t - q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-140) - (-53)\/7 - (-19 - -70).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16863138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/308 and (-2220)\/777*5\/(-66).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 - -0.6. Let y = -0.24 + -0.76. Let d = y + 0.5. What is the nearest to -1 in -0.1, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59234792*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 678, 657, 614, 543, 438, 293, 102, -141?\n\"Answer: -f**3 - 5*f**2 + f + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 71*x**4)*(x + 2*x - x) + (1 - 1 - 2)*(-x**5 - 4*x**5 + 3*x**5).\nAnswer: -138*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)\/q)\/q*(q*q**7)\/q*(q**(1\/5)*q)\/(q*q**(-3))*(q**(6\/7)\/(q*q**(-2\/5)))\/(q**(-3)*q\/(q**(-2\/17)*q)*q) assuming q is positive.\nAnswer: q**(6322\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147) + 1 - (1 + sqrt(147) + sqrt(147) + 3))**2 - (-6*(sqrt(21) + sqrt(147)\/(sqrt(28)\/sqrt(4)))\/sqrt(7))**2.\nAnswer: -260 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(3\/5)*j*j)**(-36)*j**(-12)*j**1 assuming j is positive.\nAnswer: j**(-667\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:35 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356974*q - 178472*q - 178483*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i + i)*(-25 + 10 + 56).\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o + 1. Let m(i) = i**3 + 12*i**2 - 14*i - 12. Let j(k) = m(k) + 5*u(k). Let g be j(-8). Sort 18, 2, g in increasing order.\nAnswer: g, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14939759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-3)*-1*9\/(-2130) and -75\/8.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2281, -4555, -6829?\n\"Answer: -2274*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.1 - 9.1. Sort r, -44, -0.4 in ascending order.\nAnswer: -44, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 7*p**2 + 5*p - 6. Let z be 1\/(-5) + 18\/15. Let l be 5\/(-10)*(z + 11). What is x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*l + 4 - 4.\nAnswer: 166*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-3) - 141\/(-12) and -59\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 11*i - 6. Let w be d(11). Let z be 16\/w*(-15)\/4. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 2*l - 2, -10 = 2*l + 5*c. Suppose l = -0*a - 4*a + 24. Find the common denominator of (-66)\/(-16)*a\/36 and -77\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248265767 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28153 - 10937 = 1303*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - -17) + 6)\/(20\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19 + 2*s**2 - 41 + 22. Let m(d) be the second derivative of d**4\/6 - 2*d. Give m(l(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1449.41189 to the nearest ten.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 7 - 25. Let n be (p\/(-624))\/((-2)\/(-628)). Let a = 36\/13 + n. Sort 4, a, 1\/2 in increasing order.\nAnswer: a, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t - 6. What is r(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-45))\/7*40\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188491 less than -3?\nAnswer: -2.811509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 31 + 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -15 - 5*g - 2*g - g**2 - 10*g + g. Let c be w(-15). Solve 4*b - 11 = -3*m - 43, b + 3*m + 17 = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:37 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13875 and 8325.\nAnswer: 41625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u + 2*u)*((0 - u**3 + 0)*(-2 - 2 + 2) + 4*u**3 - 2*u**3 - u**3 + 3*u**2 - 3*u**2 - 2*u**3 + 4*u**3 + 0*u**3 - 2*u**3).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 3.54\nAnswer: 11.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 2*t + 2. Suppose 5*i - 5 = -5*o + i, -o = 5*i - 22. Give j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35016.3ms to hours.\nAnswer: 0.00972675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39624543600.99999909 + -39624543433. Let f = m - 168. Round f to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10103 - -11132?\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-390)\/100) - (-10 + (-678)\/(-18))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.251364cm in nanometers?\nAnswer: 22513640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -0*h - 136. Let s(x) = h*x - 1 + 16*x - 25*x. Let b be (1\/2)\/(4\/40). Determine s(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4.1, -0.3, 1\/11, -0.005, 0.07, -17, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15084901 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4) - (-4)\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67508 + 67507. Let r = -0.3 - 0.2. Sort -59, 3\/5, r, s in increasing order.\nAnswer: -59, s, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - 8*d**4 - d**4)*((4 + 3 - 5)*(1 - 4 + 1) + 1 + 0 - 2 + 1 + 5 - 4)*(0 - 2 + 0).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1080*x - 124. What is the units digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193202887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4553*b**2 - 58*b - 3. Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -447696, -447694, -447692, -447690?\n\"Answer: 2*y - 447698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 21*l - 5 + 8 + 67*l in the form t + h*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3610 and 114?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 2343129*b\/4 - 2343131\/2.\nAnswer: (b - 2343131)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 1007*k + 30421. What is z(30)?\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166 * -14.\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -72 + 44 + -32.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 30*l - 46*l + 5 - 12.\nAnswer: -76*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/10 - 5*v**4\/12 - 2*v**3\/3 - 3*v. What are the prime factors of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 124.12. Let m = -0.12 - i. Which is the smallest value? (a) 0.2 (b) 0.02 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 124\/6 - 3\/(-9). Calculate the highest common divisor of b and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2.2. Let p = 2.4 - 0.4. Let w = z + p. Which is the third smallest value? (a) w (b) 4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 4. Solve 5*j + 3 = -3*z + 2*j, -p = 5*z + j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/89304161 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 90 = 2*u, 2*p - 3*p - 2*u + 30 = 0. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**4\/4 + 69*p**3\/4 + 19*p**2\/4 - 69*p\/4 - 7\/2 = 0.\nAnswer: -1, -1\/5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -179\nAnswer: -5\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14533240 (base 6) to base 9.\nAnswer: -856616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1978\/69)\/(1 + (-8 + 3)\/15)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hajsjnjshahhahn. What is prob of picking 1 a, 1 j, and 1 h?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -6*t + 1. What is the smallest common multiple of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*x - 3, 2*l - 4*l = -10. Put -2, x, 14, 3 in increasing order.\nAnswer: x, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and -0.073.\nAnswer: -0.1898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37169 and 143880?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7136.1 rounded to the nearest one hundred?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odrr when four letters picked without replacement from imiorjdimrmiidormi.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*f + 306 = 3*f, -4*f = -8. Suppose -k = -4*z - 4*g, -3*z - g - 15 = -4*z. Let p = 2615 + -2573. What is the remainder when p is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 + 2658*o**4 - 49554*o**3 - 295730*o**2 - 432156*o - 188640 = 0 for o.\nAnswer: -3, -1, 24, 1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -14.8. Let u = 262\/3 + -88. Which is the closest to 2\/3? (a) u (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:01 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*1*sqrt(468))\/sqrt(9))\/(sqrt(12)\/(sqrt(3)*-2)*-5))**2*-1*-1.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Let j be 1 - (0 - (-5 - h)). Put j, -1, -4 in descending order.\nAnswer: -1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + sqrt(475) + sqrt(475)*-1 - ((-2*sqrt(475) - sqrt(475)) + 4)) + (sqrt(38)\/sqrt(2) + -1 + sqrt(304) + sqrt(19) + 2)**2)*2.\nAnswer: -5488 - 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.1. Suppose g + 0*g = 1. Which is the second smallest value? (a) f (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 72, 143, 252, 411, 632, 927, 1308?\nAnswer: 1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948488, -1896997, -2845530, -3794087, -4742668?\nAnswer: -5691273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -6. Let h = 80 - v. Let q = h - 37. Is q bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-20))\/(2\/70). Suppose -3*p + 2*p + i = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 divided by -1?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21081, -21080, -21077, -21072, -21065, -21056, -21045?\n\"Answer: a**2 - 2*a - 21080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c + 0*c - 5 - 16 in the form w*c + h and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from hhhqhqhqqqhhh?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.959cm to micrometers.\nAnswer: 5459590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*i - 80, t + 0*i = -4*i + 16. Suppose -9*x + t = -11. Is (-2)\/(4*x\/(-16410)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -5. Let x(o) = 2*o**2 - 13*o + 9. Let g be x(r). Suppose h - 3*k - 68 = 0, -g*h + k + 152 = 5*k. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = -18. Let k be 3\/(-8)*(-68)\/l. Let b = k + 1\/12. Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sprz when four letters picked without replacement from rpzsb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 15 = -3. Let w = -5 - -5. Sort 2, d, w in increasing order.\nAnswer: d, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + z = -4*w - 1, -2 = -3*w - 5*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 24951 - 2811 = 0. Calculate the smallest common multiple of j and 3690.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:41 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b - 2. Let v be y(2). Let f = -13 + 12.6. What is the biggest value in v, 0.4, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48 - 47)*(-27 - -3)\/(-1). Solve 4*m - i = -4*o - 0*m, 5*o + 2*m = 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 12 = 0. Let o = x + -1. Let t = -0.06 + 5.06. Sort -1\/4, t, o in ascending order.\nAnswer: -1\/4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -136. Let j = m - 56. Solve 4 = -4*a - j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -9*t**4\/4 + 7*t**3\/3 - 2*t**2 - 333. Let i(b) = -5*b**3 + 4*b**2 - 2*b. Calculate 5*i(c) - 3*l(c).\nAnswer: 2*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4772204 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from rzzzzzxxxx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p. Let h = 9 - 15. Let z(i) = 0*i - 5*i - 5 - 7*i. Let y(r) = 13*r + 6. Let d(j) = h*z(j) - 5*y(j). Give -5*d(c) + 6*x(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*d + 208*d + 2 - 1)*(-d**2 - 1 + 1).\nAnswer: -7*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/28 + (-2)\/8. Sort -1\/2, w, -0.4.\nAnswer: -1\/2, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290995116 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 6. Let r be z(-6). Let j be (r + -26)\/(1 - 0). Let g = -14 - j. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 14) in base 16?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -247012 divided by -61753\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13781?\nAnswer: 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/90 + 24*h**4 + 20736*h**3 + 347*h**2. Factor a(d).\nAnswer: 2*(d + 432)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/317 - -958\/2219. Let g be 9122\/(-1 + (-54)\/(-2)). Let r = 351 - g. Put 1, j, r in ascending order.\nAnswer: r, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91621.122 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:48 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2 and ((-152)\/(-24))\/(2\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 42*m**2 - m - 33. Calculate n(-21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**2 + 1. Let b(q) = -8*q**2 + 1. Give 5*b(o) - 4*h(o).\nAnswer: -4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52585261 to the nearest integer?\nAnswer: 7252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0736635 rounded to four dps?\nAnswer: -11.0737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -18) + -15 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 5:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5661391*b - 13 + 5.\nAnswer: 5661391*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15408236 is divided by 465.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/2 (b) 12\/11 (c) 0 (d) 5\/2 (e) 2936\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 69*j + 3. Let l be w(-17). Suppose 23*q - 30 = l*q. Solve -20 = 4*c - 4*m, 2*c + q = 4*c + 3*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tga when three letters picked without replacement from {t: 1, a: 5, m: 4, g: 10}.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3674*p**2 + 17840*p**2 - 7275*p**2 + 14655*p**2.\nAnswer: 21546*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -7. What is the remainder when 54\/(-243) - (-2)\/(-9) - (-3276)\/81 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + n + 0*n)*(-2 - 3 + 3) + 0*n - 2*n + 3*n + 150*n - 5 - 99*n + 3 as r + z*n and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 d, and 1 x when four letters picked without replacement from mdrdyyjx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*m + 155 = 412*m. Let y = 173 + m. Calculate the smallest common multiple of 26 and y.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 and 107\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = -55*x - 113 + 77 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2) + (-4 - 10). Let y be 4\/i*-1*0. Solve -d - 3*d = -5*x - 11, -2*d - 2*x + 10 = y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 5 + 1 - 2 - 15*l**3 - 15*l**3 - l**3 + (-4*l**2 + 4*l**2 - 2*l**2)*(-2*l + 2*l - l).\nAnswer: -30*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + o**2)*(-228*o**3 + 73176*o - 73176*o + 3*o**2).\nAnswer: -228*o**5 + 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4533 - 55?\nAnswer: 4478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhlllllh. What is prob of picking 3 l and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2)*((-54)\/27 - (-70)\/36). Do p and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*d - 3*b - 68 = -41, 3*b + 96 = -22*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -4\/391 (b) 32 (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251, 248, 233, 206, 167, 116?\n\"Answer: -6*q**2 + 15*q + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Let o = 4 + -2. Find the third derivative of 3*f**j + o*f**2 - 3*f**5 + 2*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237067717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:01 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 32. Suppose -5*p + 4 = -j*p. Suppose -p*s = -6891 - 6109. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.1 - 26. Let f = 91\/291 + 2\/97. Let o be (0 - -3)*(-5 + 6). Sort f, o, d in decreasing order.\nAnswer: o, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-3)*(-1011)\/(-1685)*14\/(-20).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 5*q - 63 = -n, 58 = n + 4*q. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 29*o**2 - 70*o + 75. Give a(10).\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -o - 3*h - 57, 0 = -3*o + 3*h - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -e8615?\nAnswer: e8610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**4 + 1020930*w**2 - 4260624*w wrt w.\nAnswer: -24*w**2 + 2041860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/((-56)\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 0*x**2 + 4\/3*x**3 - 8 + 7*x. Differentiate b(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.179, -2\/13, 1, 3\/5, 6, 213 in increasing order.\nAnswer: -2.179, -2\/13, 3\/5, 1, 6, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, u: 3, j: 1}. What is prob of sequence fjff?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*d - 3957 = -1175, -4*j + 2*d + 11200 = 0. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -16 + 4*k - 1\/3*k**3 - k**2. What is o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0*b**6 + 0*b**5 - 1\/56*b**8 - 22*b + 1\/6*b**4 + 0 + 0*b**3 + 0*b**7 + 0*b**2. Find the third derivative of p(r) wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1305)\/(-720) - (-10)\/(-5)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*f - 4*j, -j + 0*j = 2*f + 14. Let k(a) be the first derivative of -3*a**2 + 9*a + 1. Does 14 divide k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h - 332. Let k be ((-10)\/65 + 638\/(-78))*-3. Calculate r(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 578, 737, 896, 1055, 1214?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/3))**(-19)*(u**(-3)\/u*u)**(-11\/5) assuming u is positive.\nAnswer: u**(-566\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.2. Which is the closest to m? (a) -4 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996943.\nAnswer: 359, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 - 345 = -z. Factor -1\/2*g**5 - 6*g**4 + 50*g**2 - z*g**3 + 0 + 375\/2*g.\nAnswer: -g*(g - 3)*(g + 5)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 5*n - 4. Let y be (-4)\/(-7)*(4 + 3). Let v be k(y). Let q = -5 - v. Solve -3*x - 12 = i, 0 = q*i - 0*i - 4*x - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 13*z - 8. Let p be x(-11). Solve -3*w + 3*g - 2*g - 15 = 0, -2*g - p = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13*o**3 + 4*o**2 - o**2 + 25*o**3 + 3 - 10*o**3. Let y(a) = -7*a**2 + 2*a**2 + 3 - 5 - 3 - 4*a**3. What is 5*h(z) + 3*y(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 15}. Give prob of picking 4 r.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 382 + 46653. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -5, 0, 3 in increasing order.\nAnswer: -7, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 18 = -2*f, 6*q - 11 = 3*q + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 696 + -146. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 33. Determine d(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-7))\/(((-6)\/(-21))\/2). Let l be 2\/(-142*1\/r). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:57 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrffrff. What is prob of sequence rrff?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24831885.\nAnswer: 3, 5, 13, 127343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*2*(-31)\/(1302\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3952 + 970886.\nAnswer: 974838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 3.4. Let z = -2165 - -6494\/3. Which is the biggest value? (a) p (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -403, -3403, -11569, -27481, -53719?\nAnswer: -92863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10134901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 47*d**2 - 89*d - 44. Let r be u(45). What is the fifth smallest value in 0.2, -2, r, 0.18, -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.03608176\nAnswer: 0.46391824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 0*n + 0*n)*(n**3 - n**3 + n**3) + 155*n**4 + 102*n - 72*n**4 - 82*n**4 to the form c*n**4 + d*n**3 + a*n**2 + j*n + s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + -3 + sqrt(16)\/(sqrt(200) + sqrt(200)*2 - sqrt(8)))*4.\nAnswer: -27 + 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b + 3*b)*(2 + 0 + 0) + 3*b + b - 10*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*3)\/(13\/39). Let l(g) = -8*g**2 + 4*g - 1. Let h(a) = 2*a**2 - a. Let p(r) = q*h(r) - 2*l(r). Let i(w) = 2*w**2 - 2*w - 2. Give -3*i(t) - 4*p(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f - 5. Let y be k(-5). Suppose y = -2*l - 6 + 4. Let i(d) = 14*d**2 + 1. What are the prime factors of i(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*f + 14, -2*f = 2*j - 12. Solve -j*q + 5 = 2*m, -4*m = -3*m + 4*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 11*n - 7. Give q(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*r - 140*r - 29*r - 1 - 118*r + 55*r in the form b + i*r and give i.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -19152100 to the nearest 100000.\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 + 8*w**4 + 3*w**4 + (19*w**3 - 2 - 23*w**3 + 0)*(-w + 3*w - w).\nAnswer: 2*w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2 + 2*p - 3. Determine j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 13) to base 4.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8 + 18. Let n be -1 - 3\/(-9)*-3. Let a be (-2 - -2)\/(3 + n). Solve -u = -a*u - v*x + 23, -u - 7 = -x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-729)*-27)\/((-2)\/240).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 6*k + 7. Let v = -24 + 28. Let j(c) = -2*c**2 - 3*c - 4. Give v*w(u) + 7*j(u).\nAnswer: 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 6. Let f = 53 + -41. Is 7 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.73 - -97.73. Let j = o + -96.43. Let z = 0.430031 + j. What is z rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((((sqrt(143) - sqrt(143)*-2) + sqrt(143))*-5)\/(sqrt(44)\/(sqrt(100) + sqrt(4))))**2*-6)*6.\nAnswer: -6739188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, -298 in descending order.\nAnswer: 4, -22, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1431*u**5 - 16*u**4 - 5288*u wrt u?\nAnswer: 28620*u**3 - 192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*d - 35 = -2*h, 2*d - 28 = -4*h. What is the remainder when 13 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/4 - 4623*n**3 - 221771*n**2\/4 - 50820*n = 0.\nAnswer: -18480, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 74 - -22007908\nAnswer: 22007982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4402487.\nAnswer: 631, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 15*v - 10. Suppose 3*k + 24 = 3*j, 3*j - 25 = 2*k - 10. What are the prime factors of a(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.037 and -0.2.\nAnswer: -7.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -18. Suppose 2*v + 272 = 2*j, 0 = j + 3*j + 3*v - 579. Let p = 146 - j. Solve p*b + x + r = -2*x, 2*b - 4*x = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -3*v**4\/2 + v**3\/3 + 5*v**2\/2 - 5*v - 15. Let y(i) = 5*i**3 + 2 - i**2 + 2 + 2*i - 6*i. Give 4*r(m) + 5*y(m).\nAnswer: m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + w - 2. Let q be n(-2). Let d = 40092 + 408. Suppose 9*s - q*s = -d. What is s rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 26.96. Let g = 26.999967 + k. Round g to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + -0.5. Let a = 79 + -79. Suppose 0 = 5*r - 10, a = 5*i + 3*r - 29 - 2. Put g, -1\/4, i in descending order.\nAnswer: i, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100103 (base 4) in base 7?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**6\/360 + 3*m**5\/40 + m**3\/6 + 14*m. Let p(s) be the second derivative of f(s). Solve p(y) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:16 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1532\/8 - (-2)\/4. What are the prime factors of ((-1)\/(-3))\/(16\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 446824 and 191496?\nAnswer: 1340472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23875, -47604, -71333, -95062?\nAnswer: -118791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39*(-1)\/7*(-85750)\/12250?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.36 - -13.36. Let i be -1 - (1 - (6 - 2)). Suppose r - 3*p = -r - 17, r + i*p - 2 = 0. Sort r, d, 5 in descending order.\nAnswer: 5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -8. Let b be (-3)\/((-3)\/s) - -1. Suppose 256 + 62 = b*l. Calculate the remainder when l is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 28*y + 42. What is z(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44544200 (base 6) in base 16?\nAnswer: -149ec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -641 bigger than -60812\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 114254782?\nAnswer: 114254780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -57. What is the second biggest value in 4\/9, -1, f?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1907091*k**4 + 2*k**2 + 13610019 wrt k?\nAnswer: 7628364*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 43071 = -5*a, 5*a - u + 7454 - 50528 = 0. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/9 + 836*s**2\/9 + 47528*s\/9 + 635440\/9 = 0.\nAnswer: -26, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*o**3 - 312*o**3 - 97*o**3 + 74*o**3.\nAnswer: -496*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Suppose w*j - 80 - 40 = 0. Let z(k) = -3*k**3 - 2*k**2 + k. What is the remainder when j is divided by z(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27627 and 11889.\nAnswer: 109485801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1095 - -1174. What are the prime factors of n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - z = -1628, 8*t - 4*t - z = 1306. Suppose -74 = i - t. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let v(c) be the first derivative of -2392*c**3 - 48*c - 29403\/5*c**5 - 5940*c**4 - 3 - 480*c**d. Determine f, given that v(f) = 0.\nAnswer: -2\/9, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699 times -3\nAnswer: -2097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**2. Let n(r) = 87 - 175 - 5*r**2 + 88. Suppose 7*x - 2*x = 2*j + 31, 5*x - j = 28. Let c be (-1 + x)*(0 + -1). What is c*v(y) + 11*n(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5. Let n = -0.2 + 0.2. Put x, n, 4 in descending order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**5*v - 4*b**2*v + 258*b - v wrt b.\nAnswer: 140*b**3*v - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186494?\nAnswer: 2, 3, 31, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 309 = 5*n + 15 - 69 for n.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-15))\/((3\/6)\/((-10)\/4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*v - 607*v - 851*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 903*d**3 - 215*d**2 - 215*d + 430. Let p(h) = -2*h**3 - h**2 - h + 2. Give -215*p(v) + r(v).\nAnswer: 1333*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*i + 4. Let j be 15\/9 - i\/(-3). What are the prime factors of j\/((-2)\/(-42) + 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 11120908?\nAnswer: -5\/11120908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(1 - 1 - 2*g) + 54*g + 52*g - 23*g + (-2 + 1 + 0)*(2*g + 1 - 1).\nAnswer: 83*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:58 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 65*i + 7. Let f(z) = 57*z + 8. Let n(t) = 7*f(t) - 6*p(t). Determine n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -6.8883875057304.\nAnswer: -6.6883875057304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 - 2) - (-27 + -14 + 28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85454.1 + -1025859.\nAnswer: -940404.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -33a?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134825531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 2)*4)**2 + 1.\nAnswer: 128*sqrt(17) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 3 + 2*b**2 - 2 - 20*b + 2. Let n be m(9). Find the third derivative of 8*w**3 - 21*w**2 + 11*w**n + 35*w**2 wrt w.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14557 = 4*v, -2*v - 3*r = -2*r - 7289. Suppose 0 = -d - 5*c + 3667, -d + c = -0*c - v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -428, 0.3, -0.3, 0.1, -25, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10 - 37*b - 3 + 39*b + 0. Let x be 2\/(2\/(-2)*2). Let r(p) = -1. Determine x*z(h) - 5*r(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s**2 - 2*s**2 - 3*s**2)*(3 - 3 + 3*s) + 4*s**3 + 10*s**2 - 10*s**2 in the form u*s**2 + f*s**3 + h + g*s and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774927, 775011, 775229, 775647, 776331?\nAnswer: 777347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212110212 (base 3) to base 9.\nAnswer: 25425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -9, -2 in decreasing order.\nAnswer: -2, -4, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -23865 less than -23495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -63, -121, -179, -237?\n\"Answer: -58*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.603105 rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 424.951 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8308 and -77\/16.\nAnswer: 33232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.15 + -13.15. Which is the nearest to 0? (a) d (b) -7 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let w be (-13)\/(-7) - (-18)\/126. Suppose 3 = w*o + o. What is h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -5*v, -v + 3*x - 7 = -0*x. Find the first derivative of 35*b**v - 4 - 15 - 12 wrt b.\nAnswer: 70*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngngggggggg. What is prob of picking 1 g and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853818.\nAnswer: 2, 3, 7, 29, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -276*p - 2. Let m(l) = l**2 - 17*l. Give w(m(i)).\nAnswer: -276*i**2 + 4692*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11879.\nAnswer: 7, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18830.53 - 18812. Is 2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(1 + 11 - 3)*(0 + 2*o + 0 - 6*o + 2*o + 2*o + (3*o - 2*o + 0*o)*(2 - 5 + 1) + 119*o + 150*o - 6*o) in the form y*o + z and give y.\nAnswer: -2349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 45*i**2 - 193*i - 147. Let l be v(49). Solve 2*p + 4*b - 29 = -b, l = 4*b - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -145, -217, -289?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 10. What is the common denominator of y\/3 + 1765\/330 + -2 and -79\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 309, 0.2, -19\/81?\nAnswer: -19\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6138585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20*29\/((-157760)\/(-96))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1\/2*w**3 + 1\/8*w**4 + 1\/60*w**5 + 0*w - 7*w**2 + 0. Let y(m) = m**2 + 2*m + 2. Give -3*d(l) + 4*y(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 + -7.3452.\nAnswer: -8.7452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0063567142 rounded to 6 dps?\nAnswer: -0.006357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*j - 16. Let h = j - -60. Let c be -1*1 + 1 + 3. Solve 0 = 3*o + 2*y - h, -c*o - 5*y = -4*o - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 94*u = 113*u - 3908080. List the prime factors of u.\nAnswer: 2, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/(-7) - -9 - (-1 - -4). What is the tens digit of 3 - (3\/g - 5343\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/13)\/(-3*(-7)\/(-21))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (-12)\/6 + 2911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*1*-6 - (sqrt(117)*2 + 4)) + 3 + sqrt(117) + -1 + 2)**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-6))\/((-11 + 3)*1\/(-12)). Sort -1, -23, c in increasing order.\nAnswer: -23, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2019 (base 10) to base 16.\nAnswer: 7e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3673 = -5*f + 6041, -f - 4*c = -1926. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016 minus -2791760?\nAnswer: 2791760.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 561 and 102?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71048183 is divided by 530210?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 11092*u - 5 = -11096*u, -2*p + 14*u - 34 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/((-2160)\/(-225)))\/(5\/18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1728)\/(-20))\/((-6)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/48 + 2\/4)\/(-3). Solve b = 23*r - 5*r - 54 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 378.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134041 - 121?\nAnswer: 133420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659525\/4 equal to 414881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5 + 3. Let x(j) = j**3 - 23*j**2 + 2*j - 46. Let p be x(23). Suppose p = -3*f + 3*d + 435, -f + 459 = v*f + 5*d. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d - 10. Solve 0 = 3*r - d*i - 6, -2*r - 3*i - 9 = -0*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/104 and -119\/6.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2 + 5*q. Let r(z) = 6*z**2 + 2*z. Let k(s) = -15*r(s) + 6*u(s). Let c(m) be the second derivative of 1\/6*m**3 - 2*m + 0 + 0*m**2. Give c(k(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-308))\/(40*57\/(-300960)).\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 68 = -28. Let b = 16 + t. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -38?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from dvddddddv?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.129 + -0.129. What is the closest to 0 in -3, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 27705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**4\/12 - 31*o**3\/6 + 5*o**2. Let v be x(15). Let l be v*(-2 - -4)*-1. Solve -k = 2*h + l*h - 10, h = -5*k + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*m = -1604*m - 6771 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 (base 11) in base 9?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 6*t + 30. What is the tens digit of s(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928 a factor of 264371690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 774 = -4712*x + 4709*x, 2*x = 5*t - 1935. Calculate the remainder when t is divided by (0 + 3)\/((-2)\/(-26)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(300))**2 + -2.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-3)*(-15)\/10. Let u be (14\/2)\/(-1*c). Let f = -6\/5 - u. What is the biggest value in f, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j**2 + 6 - 79493818*j**3 + 79493822*j**3 + 61*j**2.\nAnswer: 4*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247.9999771 + 248. What is c rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 4, g: 1, c: 1}. Give prob of sequence yag.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2934305 + 6*p**2 - 2934305.\nAnswer: 6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 168656*h**3 - 658514*h**2\/5 - 12978*h\/5 + 72\/5 = 0. Calculate h.\nAnswer: -3\/127, 3\/664, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121.9, -86.9, -3 in decreasing order.\nAnswer: -3, -86.9, -121.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9217160 - -20472?\nAnswer: 9237632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 3*c - 5. Let y = 13 + -10. Suppose 3*i + i = -3*x + 31, -y*i + 4*x = 8. Calculate v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -7\/3*i**3 + 2*i - 1\/4*i**4 - 7\/2*i**2 - 2. What are the prime factors of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(1\/5))\/c)\/(c*c\/c**(8\/3)))\/((c\/c**(4\/19))\/c**(-15)) assuming c is positive.\nAnswer: c**(-4082\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**4\/4 - q**3 - 2*q**2 + q - 4. Let c be n(4). What is the units digit of 9 - 6 - (-16)\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Let m(d) = 3*d + 40. Let r(x) = 4*x + 42. Let q(t) = 2*m(t) - 3*r(t). Give q(j(v)).\nAnswer: -12*v - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4152 and 264?\nAnswer: 45672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19971029 less than 68663.9?\nAnswer: -19902365.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8330)\/3570)\/((294\/(-486))\/(-7))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*x - 17, 3*x = -x + 5*l + 21. Suppose -f - 5*n = 5, 0 = 3*f - 0*f + 2*n + 15. Let i be x*(f\/7 - -1). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276064453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let y be (2 + b)*(-33)\/(-6). Let x = y + -7. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1626 + -1630. What is the nearest to 1 in x, 0.2, -0.4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8307)\/(-426)*(-6)\/9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j + 1. Let v(c) = -8*c**3 + 10*c + 10. Let h = -243 - -242. Give h*v(b) + 10*w(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by (1 + 2)*-209*(-14)\/462?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 40 = 5*i + 4*c, c - 40 = -5*i. Let r(f) = -f**3 + 8*f**2 + f - 6. What is the units digit of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 3*b = 0, -3*v + 4*b = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297 + -281.7. What is i rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/(h*h**(2\/3)\/h))*h)\/h)\/h**(2\/27)*(h**2)**(1\/4))**48 assuming h is positive.\nAnswer: h**(904\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 5074106?\nAnswer: 5074102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338815 is divided by 67753?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4969*u*z**2 + 99*u + 34*z**2 - 33*z - 11 wrt z.\nAnswer: 9938*u + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -31*u**2\/2 - 1236. Let m(k) = -117*k**2. Give w(m(f)).\nAnswer: 3627*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 25, 1477, 1 in ascending order.\nAnswer: 1, 12, 25, 1477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-5 + ((sqrt(80) + -1)**2 + sqrt(5))*2)*3*-5.\nAnswer: -420*sqrt(5) + 4714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (325\/(-195))\/((-2)\/(12\/5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2424165 divided by 15\nAnswer: -161611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317232003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(2) - (sqrt(5) + sqrt(5) + (sqrt(500) - sqrt(20))\/sqrt(4)))*2)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 + 14))*1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:11 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.045 - -0.145. Suppose 16*v = 11*v - 5. What is the nearest to l in v, 0.4, 1.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115558 and 684?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557 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: What is the remainder when 659 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 97.17075 kilograms?\nAnswer: 97170750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3604 * -12977.\nAnswer: 17653.9108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 - -403. Calculate the greatest common factor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34530 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3134, 10, 1, -42, -4 in descending order.\nAnswer: 10, 1, -2, -4, -42, -3134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2, 5*l + 40 = 2*y + 3*y. Let a(j) be the third derivative of j**4\/24 - 8*j**3\/3 - 2*j**2. Let u be a(y). Which is bigger: u or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3630, 3628, 3626, 3624?\n\"Answer: -2*c + 3632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -345 + 350. Suppose 2*g - i - 4 = -2*i, -8 = -3*g - i. Suppose g*s + 2*p = 12454, t*s + 4*p - 15569 = -0*p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51.53 + -49.5. Let o = -0.03 + u. Let k(y) = 3*y + 4. Let d be k(-3). Sort -4, o, d, -9.\nAnswer: -9, d, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81991627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 634708350 rounded to the nearest 1000000?\nAnswer: 635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (980\/2475 - (-4)\/18) + 80\/(-100)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:46 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*q - 3*q + 1457 = 0, -4*r = 5*q - 1939. What is the greatest common divisor of r and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 31 = -19. Let p(r) = -2*r**3 + 16*r**2 + r - 5. Let k be p(8). Solve -j + 5*j - 6 = -5*g, -5*g + n = k*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 2*c**2 - 24*c - 20. Let l be f(-7). Suppose -a + l - 11 = 0. What are the prime factors of a?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1315 and 100630?\nAnswer: 26465690","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/10 - (-2431)\/(-55). Let a = -11 - l. Suppose -1 + a = 8*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/((-459)\/(-2754))*(-54)\/204?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -23*p + 25. Let u be v(1). What is the second derivative of 17 - 107*i**u - 16 - 3*i - 8 wrt i?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 130019.\nAnswer: 1170171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose -h + 22 = 3*h + q, h - w = -q. Let a = 32.7 - 32.9. Sort -2, h, a.\nAnswer: -2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -45841*h**2 + 41*h + 662. Let a be d(-13). Round a to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*a - 0*s - 3*s, -18*a + 6*a + 67*s - 133 = 68*s for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244822?\nAnswer: 2, 641, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652492 is divided by 15160?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrurcccccrcrrcprr. What is prob of picking 3 c and 1 u?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 893 (base 14) to base 11\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - -82. Calculate the highest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(0*p + 2*p + 0*p) + 0*p + 3*p + 2*p + 3*p - 2*p - 2*p + (-2*p - 4*p + 5*p)*(-1 + 4 - 2) - 238*p + 451*p - 275*p.\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 6:29 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -5*k**6\/2 + 5*k**3 + 8. Find the third derivative of v(i) wrt i.\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-2)**2 + 5 - ((sqrt(272) + 1)*2)**2) + -4*(-2*((sqrt(272)*-2 - sqrt(272)) + sqrt(272)))**2.\nAnswer: -17407 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 26 - 4 - 24. Let g(a) = -5 + 5 + 0*a + 3 + a. Let d(q) = 2*g(q) + 3*v(q). Let h(u) = -35*u. Give d(h(x)).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120110 (base 3) to base 6.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -29. Let n = 11.99885 - i. What is n rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r**2 - 8748 + 8749 - 19*r**2 as a*r**2 + y*r + h and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282352\/2253 - 8\/751. Let l = -129 - w. What is the common denominator of l and 54\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*n = -43, 2*w + 2*w - n + 29 = 0. List the prime factors of (7 - 15)*(-3)\/w - -528.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r**(3\/10)*(r\/((r\/r**1)\/r))\/(r**(-9)*r))**(2\/23) assuming r is positive.\nAnswer: r**(73\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03139854 times -3?\nAnswer: -0.09419562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2)*-2 + 1 + sqrt(22)\/(1*sqrt(18)).\nAnswer: -5*sqrt(11)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120870 and 125766.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 46*q**4 + 17*q**3 + 372. Find the third derivative of u(v) wrt v.\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228169*l**5 + 133*l**3 + 1136164*l**2 - 3 wrt l?\nAnswer: 13690140*l**2 + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7235 - 3519 = 283*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32875772?\nAnswer: 2, 293, 28051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 - 130*g**3 - 895*g**2 + 3720*g = 0. Calculate g.\nAnswer: -8, 0, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2 = 2*o, -y - o + 2*o = -1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 2*d**2 + 2860*d + 26. Give k(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87 - 59) + (7 - 12) + (-124 - -5).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4 + 6 + 0*y + y. Let k be u(-7). Solve 0 = -k*m + 4*x - 7, 2*m - 5*m - 3*x + 21 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -bd?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**2 + 1006*o*v + 6*o - 7*v - 122 wrt o?\nAnswer: -4*o + 1006*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 456, 173, 240 in ascending order.\nAnswer: 173, 240, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.538 take away -0.0562?\nAnswer: 0.5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m - 69*m - 683*m + 236*m. Let y(v) = -v. Give x(y(l)).\nAnswer: 497*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 - 148. Which is smaller: 27 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8212.5688965 + -8195.5689. Let p = 17 - t. What is p rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*g - g. Suppose -g = -4*w, 3*w = d + 2*d + 6. Find the third derivative of -51*v**d + 30*v**2 + 22*v**6 + 34*v**2 wrt v.\nAnswer: 2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*s**3 + (3*s + 52 - 52)*(-s**2 - s**2 + 0*s**2 + (-2*s - 3 + 3)*(-2*s + 2*s + 2*s) + 3*s**2 + 4*s - 4*s - 4 + 4 + 2*s**2).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 13 = 3*c, -3*c - 83 = -86 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -343\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 2, c: 4, e: 2, r: 2, h: 2}. What is prob of picking 2 e and 1 h?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-16)\/a)\/a*a)\/((a**(-4\/5)*a)\/a*a) assuming a is positive.\nAnswer: a**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = t - 5. Suppose -3451*x + 3413*x = 114. Let d(i) = 11*i**3 + 4*i**2 - 5*i. Let u(g) = -6*g**3 - 2*g**2 + 3*g. Calculate t*u(m) + x*d(m).\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 9*w + 13. Let x be t(-16). What is the greatest common divisor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 5, o: 3}. Give prob of picking 2 m and 1 o.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33294 (base 10) to base 7.\nAnswer: 166032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 13. Let i be 9\/12 - (-75)\/n. Let g(j) = -j**3 + 6*j**2 + 9*j + 5. Is g(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w + 2. Suppose c = -c. Let v be s(c). Let n be 2 + (-2 - v*-1). Solve 0 = -n*d - 3*p, -p = p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 7.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, 5, 2 in decreasing order.\nAnswer: 19, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/17))**(-50)*a**(4\/29)*a\/a**(-13)*a assuming a is positive.\nAnswer: a**(-15737\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - l - 1. Let h(t) = t**3 + 7*t**2 + 21*t + 13. Let w(k) = 2*a(k) + h(k). Let m be w(9). Calculate the greatest common factor of m and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 70. Solve 13 - q = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 5*w**3\/3 - 85*w**2 + 1445*w - 33. Solve k(t) = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71.5 + -71. Put 7, t, 6 in descending order.\nAnswer: 7, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 4*q**4 + 0*q**4)*(-2*q - 3*q + 4*q) + 5*q**4 - 13*q**4 + q**5 - 1 + 9*q**4.\nAnswer: 3*q**5 + q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*c + 82467 + 59204, -c + 4*t = -35434. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.115456 - 0.3?\nAnswer: -1.415456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1547839800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g + 72. Let r be i(6). Solve 0 = 7*n - r*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 28*n**2 - 25*n - 403. Does 13 divide h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-9))\/(z*z**(-2\/9))*((z\/(z**(14\/3)*z))\/z)\/(z\/z**(-4\/7)) assuming z is positive.\nAnswer: z**(125\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 62 - 38 = 0. Let f be c - 1 - (-90)\/(-18). Put -4, 0, f in descending order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:05 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-110)\/(-33) + -6 + 3\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -0.02, -0.4 in decreasing order.\nAnswer: -0.02, -0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 3*h + 1. Let o(a) = -5*a**2 + 3*a + 1. Calculate -5*o(f) + 6*y(f).\nAnswer: f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/9 or -5?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-294)\/(-4))*((-494)\/10374)\/(2\/(-21))?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14 - 2) + -2 - (207 + -214)) + -18 + 144.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1305 = -2*p, 304 + 371 = p - 5*s. Suppose 0 = -5*f + 5*t + p, f - 19*t = -17*t + 134. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) 2\/15 (b) 147594 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -2*p + 0*p**2 + 2\/3*p**3 + 0. Let z(t) = 3*t. What is z(u(q))?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*u + 36 = -124*u + 63*u. Solve -7*q + u*o + 20 = -10*q, o = 2*q - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 15*j - 14. Let c be v(9). Let t = -20 + c. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in -9.9, 3, -0.2, -2?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -11*n + 17. Suppose 7 = n*y - 1. What is the least common multiple of y and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 25996475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c19 + fc?\nAnswer: -b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + 2*sqrt(360))\/sqrt(9))\/(sqrt(968)*2 + sqrt(8)) + -5 + ((sqrt(245) - (-4 + 0 + sqrt(245) - sqrt(245) - sqrt(245)))*-2)**2.\nAnswer: 10307*sqrt(5)\/23 + 3979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 4*q - 5. Let t be r(5). Suppose -5*y = 10, -4*b + t = 3*y - 9. Solve 0 = 4*c + c + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5 (c) -34 (d) -3 (e) 129 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppwpppwwpppppppp. Give prob of picking 3 p and 1 w.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbb when three letters picked without replacement from {r: 1, b: 2, v: 1, p: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -472 (base 10) to base 2.\nAnswer: -111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 2*j**2 + 2*j + 2. Let h be p(3). Which is greater: h or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1. Suppose 2*o - 4*x - 15 = o, 0 = -o + x + 3. Let j(v) = -2*v - 8. Calculate o*j(m) - 3*k(m).\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 68 (b) 0.5 (c) -5 (d) -1.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w - 2. Let z(o) = -4*o - 1. Let v(f) = 3*j(f) - 8*z(f). What is the units digit of v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 195. Let f = j - 85. Let q(w) = w**3 + w**2 - w - 2. Let s be q(0). Which is the closest to 2\/5? (a) f (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 22*s**2 + 216*s - 36. Let p be z(-10). Let q = -1 - -14. Solve p*o = -q + 33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2*n**3\/3 - 3*n**2\/2 + 36. Let a(j) = j**2. Calculate d(a(m)).\nAnswer: 2*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6821, -31391, -72481, -130097, -204245, -294931, -402161, -525941?\nAnswer: -666277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2*16)\/2)\/((-10390)\/(-31170))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14318721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(-44\/7) assuming i is positive.\nAnswer: i**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33938, -135746, -305420, -542960?\nAnswer: -848366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.6241 to one decimal place.\nAnswer: 61.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(j**2 + 2*j**2 - j**2) - 23*j**2 + 2354*j - 2367*j + 12*j**2.\nAnswer: -9*j**2 - 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 + 28*y**2 - 280*y + 276. What is u(8)?\nAnswer: 2388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-3 - 140\/133). Which is bigger: a or -1.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:11 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8876041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-229708137)\/1018)\/(6\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:09 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 347894.5, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 358256 and 14.\nAnswer: 358270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*h - 299 + 299 + (-h + 5*h - 2*h)*(0 + 0 - 2).\nAnswer: 93*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371\/2 - 3449\/18. Find the common denominator of o and -14\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 0, 43, -1\/3, 164 in ascending order.\nAnswer: -7, -1\/3, 0, 1, 43, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -2584\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 3. Let n(r) = 3*r + 3. Let i(q) = 3*n(q) + 2*o(q). Let x(d) = -d. Calculate x(i(j)).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 6, -53, 5 in decreasing order.\nAnswer: 13, 6, 5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 403\/2, -4, 1\/3?\nAnswer: 403\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-133))\/(121\/7 - 14)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372758079.\nAnswer: 3, 23, 487, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**3 + i**2 + 2*i. Let m be z(-2). Let r = m - 189. Let v = -74 - r. Solve 5*o + 3*f - 1 + 8 = 0, 0 = -v*o - f - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/30*85\/(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-21)*(-603)\/2. Let b be 3\/72*-9 + c\/(-24). Solve 30 = b*x + 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295*z**4 - z - 606.\nAnswer: -3540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 + 6*x + 1. Let z = 49 + -52. Let c be k(z). Solve 2*f - 3*a = -c, -3*a + 3 = -f - 2*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*u + 980*u - 160*u - 432*u - 160*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23712, -48517, -73322, -98127, -122932, -147737?\n\"Answer: -24805*p + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose 3*o = -o - b - 5, -2*o - 2*b - 4 = f. Let g(p) = -3*p - 1. Let l be g(o). Solve -2*s + 2*h = 0, 4*s + 6*h - l*h = 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*4\/8)\/(52\/91).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133704.104 rounded to the nearest 1000?\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w + 1831 - 904 - 18*w**2 - 895 - w**3. Determine m(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxqqjqqj. What is prob of sequence jx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683439 smaller than 14683439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/12*(-3 + 1)\/(-2). Suppose -40*s + 1426 = -l*s. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82352311*c**3 - 9251*c**2 + 16*c + 176 wrt c.\nAnswer: -494113866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/2)\/((-115620)\/(6150\/75)).\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038515 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -37*c - 41. What is the smallest common multiple of d(-3) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 2*b + 19*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942*b = -935*b - 965*b + 1092 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 69 + -107 - (1 - (11 + -19))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 7. Let t be (-9)\/(-8) - 7\/f. Let x = -0.1 + -0.1. What is the closest to -0.1 in t, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -193*10\/18 + (-102)\/(-50949)*111?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/2, 4, -3, 2\/29, -8, 1\/3, -21?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102491 is divided by 77.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (-2 + 3 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3256*w - 5808 - 1633\/3*w**2 - 74\/3*w**3 - 1\/3*w**4 = 0?\nAnswer: -33, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -503300 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f + 4*f + 24 + 23 - 4*f. Does 24 divide s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71914 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577265 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257362779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -16*r + 72. Suppose -7*y + 20 - r = 0. Solve -4*p = -5*j + 10, -3*p - y*j + 3*j = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-51)*(-30)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.136 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:25 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076735 to 7 dps.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 2. Let i = 3 + 4. What is the least common multiple of i and j(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghit when four letters picked without replacement from {t: 1, g: 1, i: 4, e: 2, h: 3, m: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 260*q - 1979. What is the remainder when 1209 is divided by p(8)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 - -159. Solve 10*o = 8*o - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 21 + 3 = 0. Suppose -490 = -5*f - 4*m, p*m + 196 = 2*f + 2*m. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -3, -4.\nAnswer: -4, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288574 divided by 2.\nAnswer: -144287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*b**2 - 866 - 776 + 112*b**2 - 45*b**3 + 1642.\nAnswer: -45*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = a - 19, -4*a + q = -21. Suppose -a*w + 27 = -21. Calculate the smallest common multiple of 18 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-342)\/(-24))\/(2\/16). Calculate the greatest common divisor of l and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.2 - 6.54. Let s = 0.3 - v. Let u = -0.36021 - s. What is u rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -445.8988 to 1 decimal place.\nAnswer: -445.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - m + 5 + 4 = 0, 2*w + 3*m - 1 = 0. Suppose w*o - o + 5*v - 2 = 0, -v + 8 = 4*o. Solve 0 = 4*h - 4*y + 32, -2*y + 1 - 5 = o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2468 - 2469.9. What is the closest to q in -5, -2, -4, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/(z**(1\/2)*z)*(z**(-1\/3))**(5\/14))**24 assuming z is positive.\nAnswer: z**(-1696\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2. Let a(m) be the first derivative of m**4\/6 - 5*m - 9. Let o(h) be the first derivative of a(h). Give o(b(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115.1 + -693.3. What is o rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.9 * -1.07044.\nAnswer: 7.386036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98256)\/(-34710) + 24\/10 - (5 - 0).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 1310659 (c) -2\/11 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:00 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:10 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.5 - -16.8. Put -3, 0.02, -0.5, c in decreasing order.\nAnswer: c, 0.02, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4938\/13 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfl when three letters picked without replacement from ufluflfylrl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 615414.\nAnswer: 1\/205138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 2 - 12*i**3 - 4*i**3 + 0*i - i**4 + 14*i**3 as n*i + u + d*i**3 + h*i**2 + z*i**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -11183 + 464. Which is bigger: 393 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 433*k**2\/7 + 4*k\/7 = 0.\nAnswer: -4\/433, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*o - 5 = 5*j, o + 1 = 5*j. Suppose 2*r = -j*r - 198. Let b = 147 + r. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18337112*m**3 + 18050672*m wrt m.\nAnswer: -110022672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3406162 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (758\/(-5))\/(8\/(-20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46101045)\/576145 - (-1)\/61?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5115*u**2 - 5115*u**2 - 69*u**4)*(-3*u + u - 4*u).\nAnswer: 414*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2 - 4*b - 4. Let h = 782 + -788. Give r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:33 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 13*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*o + 47967 + 79575 = -1248*o for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 3*b - 3. Let m(y) = 8*y**3 - 9*y**2 + 5*y + 13. Let j be m(3). Let x = -110 + j. What is the remainder when x is divided by c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-2)\/(-2))\/(3\/(-27)). Let t(g) = g**2 - 7*g + 27. Let x be t(c). Suppose 1 = -z - 1, 0 = -q - 2*z + x. 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 the second derivative of -17606758*w**2 + 48165586*w wrt w?\nAnswer: -35213516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b**(2\/9)*b)))\/(b\/(b\/(b\/(b*(b\/(b*b**(-2\/7)*b)*b)\/b))))*b**(-1\/7)\/b**(1\/3) assuming b is positive.\nAnswer: b**(-61\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 2*p - 5. Suppose -8*d + 34*d + 78 = 0. Let b(c) = -c**2 - c. Determine d*b(x) + m(x).\nAnswer: x**2 + x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1. Let w(u) = -4*u + 11. Let f(l) = -5*i(l) + w(l). What are the prime factors of f(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (0 - -1) + 12. Let c = 80 + 298. What is the units digit of c\/49 + 4\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4*l**3 + 17*d**4*l**2 + 117*d**3 - 2*d**2 + 12*l**3 - 15*l**2 + 2*l wrt d.\nAnswer: 24*d*l**3 + 408*d*l**2 + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6958)\/3478 + 1 + 1. Let g = m - -53923\/24346. Find the common denominator of 77\/6 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406096 divided by -67?\nAnswer: 80688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + 101000?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779 and 8159?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 10*a**2 + 323*a - 2701. What is h(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1026991 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 826130821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 2*c + 6*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -312 + 330. Solve -28 - 26 = t*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -182.5?\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25734512 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 8. What is z(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.126264 and 0.073.\nAnswer: -0.053264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 64725680?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -33, -5021 in ascending order.\nAnswer: -5021, -53, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a meter in millimeters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -20. Find the third derivative of 82*b**3 + 8*b**4 - 82*b**3 - 7*b**d wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170 (base 14) to base 15.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2562 + 2564. Solve p*l - 61 = -67 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 5. Let p = 17 + v. Let l = p - 12.2. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2741*b**4*z**3 + 65*b**3*z + b - 1014332*z**3 wrt b.\nAnswer: 32892*b**2*z**3 + 390*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 33105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -12, 0, 4, -1, -3.\nAnswer: -12, -3, -1, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrepb. What is prob of picking 1 b and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25)\/2*-2*(-3 - -6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 675477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9 = -3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:59 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19087\/141 + -33\/47. Let y(q) = q - 145. Let w be y(0). Let j = o + w. What is the common denominator of -59\/27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6*15078\/(-63). Solve 5*t = -k + 349 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8401 - 5905. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4*k - 4. Let w(n) = -2*n**2 - 7*n - 7. Let b(s) = -7*h(s) + 4*w(s). Let o(u) = -u. Give b(o(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -40.6. Suppose 5*x + 2*t - 65 = 0, 3*t + 35 = x - t. Which is the nearest to -0.1? (a) z (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*l = -182, -2*l + 0*l - 302 = -5*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5617 and 4932?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -7, -0.1, -2\/61, 17.\nAnswer: -7, -0.1, -2\/61, 3\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223321 - 0?\nAnswer: -223321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1144, 1142, 1140, 1138, 1136?\n\"Answer: -2*y + 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -161, 0, 5 in increasing order.\nAnswer: -161, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1284 and 67\/10.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let l = 12 + -7. Let r(n) = 3*n + 3. Calculate l*y(c) + r(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24555.7 - 22618. Round z to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395681 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106467385.\nAnswer: 5, 109, 195353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -60*m**5 + 3116*m**4 + 175888*m**3 + 1374912*m**2 - 8357120*m - 563200 = 0.\nAnswer: -20, -1\/15, 4, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/6)\/((-1)\/6). Let v = i + -7. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 - a - 6. Let f be l(-6). Suppose -2*q = -4*m + 84, -4*q - f - 123 = m. Is (1\/2)\/((-1)\/q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 26*q**2 + q - 28. Determine g(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - 513231?\nAnswer: -513142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 17 + v + 68 - 19. What is f(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69103809*a**3*z - 11*a**2*z + 5*a**2 - 5*a*z + 2*a + 3855*z wrt a.\nAnswer: 414622854*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**2\/2 + 9*v - 29. Let s be i(3). Suppose -53*x + 54*x - 143 = s. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -o + 4, 0 = -2*i - 3 + 1. Let l be 1 + 1 + -3 - -4. Suppose l*u - 66 = -o*u. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180061 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 8*q**2 + 7*q + 32. What is g(-8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13625 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: Find the second derivative of -1173*v**2 - 645*v - 41 - 54 + 95 wrt v.\nAnswer: -2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 1. Let z be (-144)\/288*(-134)\/(-3) + 22. What is the second smallest value in -1\/2, z, h, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -123 (b) -18 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/126)\/(365\/219)*-4\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 27?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 94.056. What is the second smallest value in -0.4, d, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**2 + z**2 + 19*z**2 + 17*z**2 as n*z**2 + j*z + w and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - v**2 - 3 + (59 + 8*v - 59)*(-56*v + 556 - 556).\nAnswer: -449*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/3174 and -53\/1052.\nAnswer: 1669524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*v - 3*k + 3, k - 2 = 0. Let i be (0\/v)\/((-2)\/(-2)). Solve i = 5*q - 4*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16122a (base 14) in base 16?\nAnswer: -bc5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = 2. Suppose 3*n - 39 = -5*s + h*n, 4*s + n = 24. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9 (b) 3\/7 (c) -1 (d) -2.9 (e) 0.2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32357 (base 14) in base 16?\nAnswer: -1da39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - x + 1 + 9*x - 2*x + 2*x. Let l(k) = -16*k - 1. Determine 5*l(f) + 7*p(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1779678 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 3*g**7\/7 - g**4\/2 - 40*g**3\/3 + 41. What is the third derivative of a(b) wrt b?\nAnswer: 360*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:33 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p - 11. Let a(b) = 9*b - 7. Let l(q) = -7*a(q) + 5*v(q). What is the tens digit of l(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*(3 + 1). Let j be m\/(-18) - 2\/(-12). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5\/2 + 39*y**4\/2 + 153*y**3 + 330*y**2 + 228*y = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 12*o**2 - 50*o + 106. What is x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 17, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3)*1*(-9)\/6. Suppose -v = -s + 5*h, 4 + 8 = 4*s - 3*h. Calculate the smallest common multiple of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 16.5. Let w = n - -1.55. Let p = -0.15 + w. Which is the closest to p? (a) -2 (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865342.\nAnswer: 2, 73, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1590, -3177, -4778, -6399, -8046?\nAnswer: -9725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78262.45 milliseconds in microseconds?\nAnswer: 78262450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1132617310 to the nearest 100000.\nAnswer: -1132600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5353745.\nAnswer: 5, 107, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2082 or 34456?\nAnswer: 1.2082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 10*o - 5. Calculate t(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {n: 1, j: 1, m: 1, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n + 14. Let a(j) = -4*j + 5. Let f(z) = 17*a(z) - 6*c(z). Suppose -2*m + 4*i = -14, -i + 3 = m + 2. Let g(s) = s**2 + 2*s. Give m*f(u) + 2*g(u).\nAnswer: 2*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 80 + 6*k - 77 + 18*k**2. Is 24 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:34 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463893*n + 14605*n - 361261*n.\nAnswer: -810549*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5126)\/(-3) - ((-40)\/15)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 6. Let w be 4*-7*(-2)\/8. Let q be (-1)\/((-1)\/3) + -1. Let r(g) = 619*g - 619*g + 3 - g**2 - 1. What is q*t(d) + w*r(d)?\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 - 2. Let y(f) = -142*f**3 - 2*f**2 + 1233*f - 12. Let x(d) = 6*j(d) - y(d). What is the second derivative of x(m) wrt m?\nAnswer: 816*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -2) + 52\/13. Let b(a) = a**3 - 3*a**2 - 2*a - 3. Calculate b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*c - 2063*c + 55276 + 18768 = -1486 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 166 = -26. Let u be (v\/(-105))\/(18\/(-21)). Let f = -0.06 + -2.94. What is the smallest value in u, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661759 is divided by 277.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51376 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2613356, -2613344, -2613332, -2613320, -2613308, -2613296?\nAnswer: -2613284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267984 by -44664.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((2 - 2) + 1) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233123 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 + 9*o**3 - 4*o + 72*o**3.\nAnswer: 64*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 16597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -3*-1*sqrt(72) + sqrt(72))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985 divided by -5.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.025 - 0.095. What is the third smallest value in 3, -4\/5, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 + -4 - -1) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 9*d**2 - 2*d - 18. Let c be s(-9). What is the units digit of 45 + c - (-14)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111533551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 577*y**3 + y**2 - 3*y + 3. Let j be u(1). Is (j\/2 - -2) + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 7*t**2 + 13*t**2. Let y(s) = -2*s**2. Give y(g(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, i: 4, d: 2, f: 1}. What is prob of picking 1 p, 1 i, 1 f, and 1 d?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q**3 + 2*q - 2*q)*(-4*q + 17*q - 6*q).\nAnswer: -70*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 530524 = 21*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2. Let y(c) = 28 - 2*c**2 + 4*c**2 - 13*c**2 + 0*c**2 - 32. Determine y(i(l)).\nAnswer: -11*l**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3, z + 11 = 4*f + 4*z. Suppose 6*d = -375 + 21. Let q = d + 59. Sort q, 3, f, -1 in increasing order.\nAnswer: -1, q, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.727 - -0.273. Let o = h + -114.07. Let m = -3\/4 - -5\/4. Is m not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 48 = k, -q + 189 = 3*q - k. Let m = 8 + q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496784299?\nAnswer: 3, 31, 26847143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/3 + -22. Let v = 67 + -71. Let a be v\/(-5) + 123\/(-60). What is the closest to 1 in a, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8 - 24\/96. Let f be (-9)\/(-3)*(z\/7 + 0). Which is the third smallest value? (a) 0.4 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217 divided by 33?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -399445\/977 or -408?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 17760*i**4 + 88532*i**3 + 744776*i**2 + 1348080*i + 709600 = 0.\nAnswer: -2, -1, 10, 4435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -1.3 (c) -0.3 (d) -36 (e) 1070\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136960 and 11128?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61649841770689\/24167899 + -17856285\/7. Let a = p - 20055896333\/3141826870. Let m = 3\/182 - a. What is the common denominator of 3\/11 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 42*s - 154 + 46, 5*c - s = 38 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45123*c**4 - 7*c**3 - 2250488*c**2 wrt c?\nAnswer: 1082952*c - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86243 - -2.\nAnswer: -86241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-42)\/(-9)*432\/42. Are q and -99\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16479, -16481, -16483, -16485, -16487, -16489?\nAnswer: -16491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722903 = o + 14*o - 69997. What are the prime factors of o?\nAnswer: 2, 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + s - 3)*(-5 + 4 + 5) + (0*s + 2*s - 3*s)*(1 - 3 + 4))*(-7 + 141 + 117)*(s**3 - 3*s**3 - s**3).\nAnswer: -1506*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1121082 divided by -10991\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1522*n - 3037*n + 1511*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a - 4 = 0. Suppose 0 = -2*o - 6*u + 5*u - 8, u + 5 = -o. Put a, o, -1 in decreasing order.\nAnswer: a, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = 16*r - 399. Let z(o) = 3*o**2 - o + 4. Let j be z(-5). Suppose -3*s + j = -24. What is the remainder when s is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 11*b - 2*y + 152, 5*y = 25. Which is bigger: 143 or b?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 1, b: 2, w: 4, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -9\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3231\/2992 + -3\/272. Find the common denominator of (2 - -1) + ((-21)\/(-5) - 1) and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-104)\/(-10) + -2)\/((-21)\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - -1) + (-25 - -7)\/(-9) and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 121462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**8\/2184 - 3*o**7\/455 - 23*o**6\/780 - o**5\/26 + 6*o**2 + 103. What is s in t(s) = 0?\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60199818 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 8 + 0)*(w + 2 - 2) - 2 + w + 2 - 2 + 2 + 2*w + (4 + 0 - 2)*(0*w - w - w) - 5*w + 0*w + 4*w to i*w + x and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90537*z**4 - 116*z**3 + 915094363.\nAnswer: 362148*z**3 - 348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4383*a**2 - 3*a - 3. Let s(u) = -6*u. What is n(s(b))?\nAnswer: 157788*b**2 + 18*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75\/4 of a meter?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + (-6 - (-3 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.031 + -17.969. Let f = v - -17.7. Which is the closest to 0? (a) -5 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 3222400*k - 3222399 = 0 for k.\nAnswer: -3222399, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1475*w + 1193*w + 8749*w.\nAnswer: 8467*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 651780 by -4.\nAnswer: -162945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 11*j**2 + 3*j - 6. Let b(y) = -11*y**2 - y**3 + 4*y - 7 + 4*y - 5*y. Let w(o) = 3*b(o) - 4*k(o). Is w(-11) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4869 + 4866. Which is the second biggest value? (a) -5 (b) d (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**1))\/p**(-1))**(-2\/65)*(p**1\/p)**(5\/14)\/(p**1\/p**(-1)) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2570\/(-18) - (-8)\/(-36). Let k = -61 - i. What is the remainder when k is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 46. Suppose 5*h + t = -c*t, 5*t = 2*h. Suppose 966 = -h*j + 7*j. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -24. What is the remainder when y + (303\/(-6))\/(3\/(-6)) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 829, 1660, 2491?\nAnswer: 3322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913265 divided by -12505?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4536 and 12.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.557 litres in millilitres?\nAnswer: 442557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1128.5 to the nearest ten.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/b**(2\/37)))\/b)\/(b\/(b**(-12)\/b)*b))**(-1\/79) assuming b is positive.\nAnswer: b**(627\/2923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -13*t + 18*t - 30, -4*g - 2*t + 30 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1172, -2524, -3932, -5396, -6916?\n\"Answer: -28*g**2 - 1268*g + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 1168 - 3152. Let g = -599 - k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042658802 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10697214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1912, -816 in increasing order.\nAnswer: -816, 1, 1912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34276, 34266, 34250, 34228, 34200, 34166?\nAnswer: 34126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1*-1*20\/(-15). Is 17 a factor of p - -8 - 1\/((-1)\/251)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 52*p**3 + 3*p**2 - 3*p + 2. Let k be h(1). Let u be -30 + (-9)\/(9\/4). Let l = u + k. 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 v(o) be the second derivative of -1\/2*o**3 - 3*o + 0 + 1\/4*o**4 + 3\/2*o**2. Let x(d) = d**2 - d + 1. Give -2*v(s) + 7*x(s).\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 7*h + 47. Let w(p) = -2*p**2 - 4*p - 24. Give -4*b(o) - 7*w(o).\nAnswer: 2*o**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36203?\nAnswer: 41, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 + 265. Let p be ((-51)\/(-30))\/(-17)*n. Is p less than -0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.97 times 50.238\nAnswer: 48.73086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -96. Let y be u\/(13 + -1) - (-10)\/3. Solve 0 = y*o - a - 8, -5*a + 6 = o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynynnqnoynoyybybn. What is prob of sequence ynn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 39, 31, -1, -63, -161?\n\"Answer: -g**3 - 3*g**2 + 26*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 4*c + 5*c - 2*c + 0*c + 0*c + (4*c - c - 2*c)*(12 + 7 - 8) to l + a*c and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*i + 18, -5*i - 3*f + 34 = -f. Let m = 0 + 3. Suppose -6 = m*t + i. Which is the biggest value? (a) 4 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/4 + 10*m**3\/3 - 4*m**2 - 12*m - 10. Let p be a(9). Let k be p\/7 - 18\/(-42). Which is smaller: 4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1625*g**3 - 327*g**2 + 44*g + 615 wrt g?\nAnswer: -9750*g - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4585794 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548 + 11*w + 43 + 9*w - 8*w.\nAnswer: 12*w - 505","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222972204.\nAnswer: 2, 3, 7, 13, 17, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = -9. Suppose 5*v - 18 + f = 0. Suppose -3*b = 11*y - 16*y, 5*y = 0. Sort 4, -1, v, b in descending order.\nAnswer: 4, v, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 397, 1812, 5491, 12514, 23961, 40912, 64447?\n\"Answer: 180*t**3 + 52*t**2 - t + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.76 + -42. Let d = -0.24 - j. Which is the closest to -0.1? (a) 13 (b) -1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from vwwwvvwvvwwwww?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 0 + (4 - 24)\/(-5). Calculate the remainder when 111 is divided by ((3\/h)\/(-9))\/((-35)\/1995).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b - 2*b**3 + 0 + 5\/2*b**2. Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4685849055?\nAnswer: 3, 5, 79, 439367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + -6775?\nAnswer: -6747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391360273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4484 + 2245 + 69*y**2 + 2239.\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 10:02 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbxxuubuuuxbbx. What is prob of picking 3 x and 1 b?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(52\/8)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.32798 - 731.23302. Let b = z + 734. Let x = -9.5 - b. Round x to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 4*k**2 + 2*k - 1. Let y be d(-3). Let t be (18\/(-12))\/((-6)\/16). Let n = t - 2. Solve y*v - 8 = -n*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*0)\/((-12)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2092 - -6114. List the prime factors of l.\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6484899585 - 0.1.\nAnswer: -6484899585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2 + 4*s - 1. Let o(r) = -10*r**3 - 4*r**2 - 17*r - 136. Give -4*j(l) - o(l).\nAnswer: 6*l**3 + l + 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/19230 and -137\/653820.\nAnswer: 653820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 - l**3 + 0*l**3)*(-53*l - 11*l + 18*l) + 0*l**4 - 3*l**4 + l**4 to the form u + v*l**4 + g*l + p*l**2 + h*l**3 and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65642.58 millennia in years?\nAnswer: 65642580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c - 40. Let l(g) = -16*g + 55. Let i(r) = -4*h(r) - 3*l(r). Let o(w) = 5*w - 5. Calculate -3*i(f) + 2*o(f).\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.71522 litres to millilitres.\nAnswer: 94715.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -553*13\/((-637)\/42) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19471804929498 + 19471805171529.29999982. Let d = 242031.2 - x. Let t = d - -0.1. Round t to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1029*a**6 - 659*a**2 wrt a?\nAnswer: 123480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(5*i - 4*i + i) - 2*i + 2*i - 4*i + (-9 - 54 - 14)*(i - i - i) in the form g + a*i and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1098, -8820, -29788, -70626, -137958, -238408?\nAnswer: -378600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16195.8685 rounded to the nearest 100?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = 0, 34 = -3*p - 0*c + 5*c. Sort p, 4, -25 in decreasing order.\nAnswer: 4, p, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -x + 7, -17 = x + 6*f - 3*f. Suppose -4*l + 2*t = 14, 5*t - 16 = 5*l - 6. Let p be (4\/(-10)*l)\/x. Is p at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5952 + 23772 - 5907 - 5*g - 5955 - 5958.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116.34578 + -116.37. Round w to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 + 1.5\nAnswer: 1.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130230764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)*1 + -6. What is the common denominator of (131\/s - 0)\/1 and 30\/(-24)*(-4)\/(-20)*-61?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5602\/7 - 22431\/28. Find the common denominator of u and 85\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = -28*z. Suppose 3*b - 4*f = -1 - 3, 4*b - 4*f = -4. Solve 0 = -5*d - 4*j + 7, -4*d + z*d - 3*j + 6 = b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14132 + 14?\nAnswer: 14201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 360793 (base 13) to base 2\nAnswer: 100111010000110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547 (base 9) to base 13.\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4 = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19666406 to the power of 1\/2, to the nearest integer?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354659, -709319, -1063979?\nAnswer: -1418639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 629 = 107 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7040 and 12980?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/20 - c**4\/2 + c**3\/2 + c**2 + c - 26. What is p(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 2*d - 1. Suppose 4*j + 3*x - 3 = 4, -3 = 2*j - 5*x. Let s(t) = -t. Give j*s(r) - a(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = -k, -3*r = -4*k - 28 - 1. Suppose 3*m + 0*b - 12 = b, -5*m + 2*b = -21. Is m less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 127 (b) -18 (c) 1 (d) 2\/3 (e) -0.05 (f) -395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255*246\/(-75276))\/((-2)\/(-108)*1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-3))\/12*8)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 160605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*-3*-4. Suppose 3*z + 5*c + 4 = 0, 5*c = 5*z - 12 + 32. Let y be 6\/((5 + -8)\/z). Solve 0 = 4*h + 2*g - n, -15 = -3*h - 3*g + y*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2.8. What is the second biggest value in 4, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171415 or -170748?\nAnswer: -170748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7617, 15239, 22869, 30507?\n\"Answer: 4*k**2 + 7610*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (1 + 4)*13. Let x be (-445)\/s - (-2)\/13. Let k(m) be the first derivative of m**2\/2 - 2*m - 5250. Give k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 5*d**2 + 85*d**3 - d**2 + 4*d**2 - d**2. Let y be k(6). Round y to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 3802920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 - 2*w - 6*w + w. Let t be x(5). Find the common denominator of (t\/(-12))\/(4\/6) and -45\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 3, 29 in descending order.\nAnswer: 88, 29, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 352, 479, 548, 541, 440, 227, -116?\n\"Answer: -3*h**3 - 2*h**2 + 194*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14701 = -5*y + 12849. Suppose 0 = 2*l + 4*v - y, -2*l - l + 8289 = -2*v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 4. Let w be i(14). Suppose -91*s + w*s + 12 = 0. Solve 4*u + 0 = -s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3744004 + 1259094. Let u = 5003076.09887 - d. Let y = u + 21.9. What is y rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) - (0 - 0). Let m = 411073 - 411085. Which is the third smallest value? (a) g (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -947, -3637, -8073, -14255, -22183, -31857, -43277?\n\"Answer: -873*h**2 - 71*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4967008 millilitres in litres?\nAnswer: 0.0004967008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195064 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 299*x**2 + 149*x + 141. Give c(150).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1393, 1532, 1671, 1810, 1949?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/15, 0.3, 79?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 3*x**5\/5 - 93*x**3 - 1025*x + 1187. What is the first derivative of k(c) wrt c?\nAnswer: 12*c**3 - 558*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62\/22 - (-134)\/737. Solve -5*d = v*p + 5, -d = 3*p - p + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + a, -b + 3*a = a + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 70. Suppose 0 = 3*f + 2*h - 35, 60 = -2*f + k*f - 4*h. What is the greatest common factor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 10\/3*c**3 + 11\/3*c**4 - 65*c + 0*c**2 + 2\/15*c**6 + 7\/5*c**5 + 0. Factor f(k).\nAnswer: 4*k*(k + 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7234, 14419, 21606, 28795, 35986?\nAnswer: 43179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279720 and 97902?\nAnswer: 1958040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {c: 1, d: 4, n: 3, e: 1, f: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -67. Let g = f - 8. Let y = g - 18.000043. What is y rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 85\/(-15)) + 8\/(-3). Calculate the remainder when h + (-376)\/(-7) - (-12)\/42 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (28 + -1) - (46 - (-5 + 5)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Let v(u) be the first derivative of u**3\/3 - u**2\/2 + 3*u - 3. Calculate the remainder when v(z) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*u + 79, 0 = y + 6 - 3. Suppose 0*c = -5*c + 550. Suppose c = 3*p - p. What is the highest common divisor of u and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -24*t - 93. Let u be x(-4). Sort -4, u, 4 in decreasing order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44591388 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 6 - 2)*(3 - 1 - 5)*(-743 + 743 - 38*s).\nAnswer: 456*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110001011001001001?\nAnswer: 110001011001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 100.2256ml?\nAnswer: 0.1002256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 + j**4\/3 - j**3 - 13*j**2. Let u be p(-5). Let b = 46 + u. What is the remainder when b is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11745 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from bgbbgbb.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from jgjmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98932892\/9 or -10992544?\nAnswer: -10992544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-267)\/(-4272))\/((-1)\/2))\/(7\/63).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -1\/2*l**3 + 138*l + 0 - 15\/2*l**2. Calculate w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 6*d**2 - 8*d + 9. Give l(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 7*q - 19. Let i be t(-13). Differentiate 5*y**4 + 2*y**4 + i - 422 with respect to y.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14590511723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 6}. What is prob of picking 3 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2 - -1)*-4. Let f = 5.3 - 0.3. Let u = f + -10. Put s, 2\/15, u in descending order.\nAnswer: 2\/15, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 m when three letters picked without replacement from dlwdljm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*m**5 - 22*m**2 + 24*m + 0*m**2 - 47*m**4 - 35*m**4 - 22*m - 78*m**3.\nAnswer: -2*m*(m + 1)**3*(14*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9521.8785 to the nearest 10.\nAnswer: -9520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00322029 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 26. Solve -8*s = -18*s + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4 - 92*u**3 - 1065*u**2 - 2250*u + 2000 = 0.\nAnswer: -5, 2\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3813990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + (-4 + 0 + 5)*(4 - 4 + 1) + 2 - 3 + 2)*(-5*q + 2*q - q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 815499.\nAnswer: 815503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-3)\/16*-2). Let s(q) = -7 + q**3 + 4 - 10*q + 0 + 8*q**2. Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -53, -57, -65, -77?\n\"Answer: -2*n**2 + 6*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 + 3*m**3 - m**2 + 2*m - 2. Let z be ((-54)\/(-15))\/(6\/10 - 1). What is the remainder when 37 is divided by b(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + 3*r - 4. Let s be y(4). Is (-322)\/(-4) - 4\/s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*b**4 - 80*b**4 + 24*b**4)*(b + 4*b - 2*b) + 0*b**5 - 5*b**5 + 3*b**5.\nAnswer: -446*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 + 56 = 0. Suppose -5*o + 91 = 3*g, -3*o - j + 58 = -2*g. Let n = o + -8. Calculate the lowest common multiple of n and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.0619 + -111.8401. Let f = 118.915 + 0.085. Let r = n + f. Round r to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4*s)\/((s\/(s*s**(-2\/7)))\/s))**(1\/94) assuming s is positive.\nAnswer: s**(20\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 6*i - 4*i - 1465, 5*n = -3*i + 1465. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14 - 47 - t**2 + t**3 + 2*t + 21. Let i be k(-5). What is i rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35*10\/2625)\/((-140)\/(-126))\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 3*w - 980*w**2 + 13 + 19 - 34.\nAnswer: -980*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let p(a) = 2*a**2 - a + 1. Let d be p(1). Solve c + q*c - d = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 341*b - 3757.\nAnswer: -(b + 13)*(4*b + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181*u - 88*u - 113*u - 8)*(4 - 4 + 2*u) to the form z*u + f + v*u**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/7 - 30*i\/7 - 29\/7 = 0. Calculate i.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1415, -25, 1\/52?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 208160 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -6*x. Which is the closest to x? (a) -4 (b) 0.1 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131 in 0.06, -1, -2\/17, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/((-6)\/(-108)*-1). Let j be 3\/27*-2 + 843\/s. Do j and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74356 and 14694284?\nAnswer: 426134236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22481402, 44962803, 67444204, 89925605, 112407006?\n\"Answer: 22481401*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -2\/9 (c) 10\/11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776 - 606 + 2*h**2 + 9*h**2 - 170.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 328*m**2 - 3*m + 3. Let x(j) = 662*j**2 - 5*j + 4. Determine 5*r(z) - 3*x(z).\nAnswer: -346*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85540 and 14896180?\nAnswer: 104273260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 5692 in decreasing order.\nAnswer: 5692, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-118)\/8*22*-2. Let h = -4506\/7 + f. What is the common denominator of h and -37\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82511140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2743, -2739, -2733, -2725, -2715, -2703?\n\"Answer: h**2 + h - 2745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1960\/9 - 218. Let s = -4 + 7. What is the closest to s in 0.4, w, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.44*5682\nAnswer: 8182.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3947.1 + -3928. Which is the third biggest value? (a) v (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1301330 (base 4) to base 11\nAnswer: 552a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.43 and 1.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66961720?\nAnswer: 2, 5, 7, 379, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4373.321 weeks to nanoseconds.\nAnswer: 2644984540800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3600 and 458?\nAnswer: 1648800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(242)*4)**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2783 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 7. Suppose 1 = 2*h - n. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -546331*i**5 - 175516*i?\nAnswer: -10926620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30233 (base 4) to base 6.\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) 0.3 (d) 1 (e) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 346, 3, 951 in decreasing order.\nAnswer: 951, 346, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c8922 (base 13) in base 5?\nAnswer: -2312014131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.72 - 2.22. What is the nearest to m in -3\/2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p + 117*p = -528 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -3, -5 in decreasing order.\nAnswer: 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 350*h**4 + 1720*h**3 - 2144*h**2 + 800*h - 96 = 0.\nAnswer: -6, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h - 85. Give a(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 1\/15*o**5 + 0*o**3 + 0*o**2 + 0 + 1\/30*o**6 - 1\/9*o**4 + 5*o. Let n(u) = 0. What is u?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.418 + -1.582. Let s = 8 + -3. Sort r, s, -4\/7 in decreasing order.\nAnswer: s, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7130*m + 3556*m + 3573*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, 1, 5, 1, -17, -55, -119, -215?\n\"Answer: -y**3 + 5*y**2 - 2*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgb when four letters picked without replacement from {b: 3, g: 3, q: 1, d: 3, c: 10}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 752486.4 seconds?\nAnswer: 752486400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 1 + 0*j**4 + 0*j**3 + 0*j - 1\/2*j**2 + 2\/3*j**6 + 0*j**5. What is the second derivative of m(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0. Let b = -46 - -25. Let i = -21.2 - b. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3907317075 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 1, s: 2, i: 1, f: 6, o: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 3*v**2 - 4*v**2 + 5*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let i = 0 + c. Is (i + 18\/(-4))*-6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-5 - -8)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6) + 2)\/(1 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 9*s - 1. Let a be w(-8). Suppose 3*u - 2 = a. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2 + 2)*(3*i - i - 3*i) - 9220*i + 3 + 9220*i - 8*i**2 - 34*i**2 - 43*i**2 + 97*i**2 - 3*i**2 - 2*i**2 + 4*i**2.\nAnswer: 12*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/140*-50294*(4 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*r + 15676 = 0, r + 8863 = 3*k - 2878. Do 3915 and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 2*u + 24*u - 13*u = -147 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2763689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 175.\nAnswer: 174.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 16) to base 15\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12217173 or 6.9?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15*o = 13*o + 9, -m + 4*o - 11 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 - d + 155. Let t be m(0). Let g = -65 + t. Suppose 0 = 4*x + x - g. Calculate the lowest common multiple of x and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 0 + sqrt(684))**2*-4 + (sqrt(475) + 1)**2 + (sqrt(95)\/(-1*sqrt(5)))**2.\nAnswer: -10449 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.3. Let h = -0.7 - -1.5. Let j = h + l. Which is the second biggest value? (a) -0.4 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 62*f - 40 = 64*f, -36 = 3*m + 3*f for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25084 divided by 10?\nAnswer: 12542\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 64, 82, 116, 172, 256, 374?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(6\/5) assuming b is positive.\nAnswer: b**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**3 - 9*u**3 - 1 + 1. Suppose -k + 3 = -3. Let c(i) = -5*i**2 + 2 + 0*i**2 + 4*i**2 + 8*i**3. What is k*x(p) + c(p)?\nAnswer: 2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - 43*h + 6*h**2 + 8 - h**3 - 7*h**2 + 45*h to c*h**3 + w*h**4 + n*h + m*h**2 + u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2272, 6940, 11610, 16282, 20956, 25632, 30310?\n\"Answer: c**2 + 4665*c - 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g + 8*g**3 + 2*g**4 - 21*g**3 + 2*g + 94*g**2 - 78*g**2 wrt g.\nAnswer: 48*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 74. Let y(m) = -m + 25. Let u(c) = -3*l(c) + 8*y(c). Let z be u(6). Solve h + z = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1043\/4 - 260. Factor -3\/4*s + 1\/4 + t*s**2 - 1\/4*s**3.\nAnswer: -(s - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4150598, -4150597, -4150596, -4150595, -4150594?\n\"Answer: d - 4150599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4 = -v, 4 + 1 = -n - 2*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2089235 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, c: 2, h: 2, b: 8}. Give prob of sequence bhvb.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 42*t + 18 = 0. What is the smallest common multiple of (-3)\/(-5) + 534*2\/20 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -186, -411, -726?\n\"Answer: -45*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 8)\/(10\/20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*62.64366\nAnswer: -12.528732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(119)\/((sqrt(7) - ((sqrt(42)\/sqrt(6)*-6 + sqrt(7) - sqrt(7)) + sqrt(7))) + sqrt(7) + sqrt(7)) + 0).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132202.81199 + -132267.5. Let q = 5.30619 - l. Let n = 70 - q. Round n to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*z**2 + 146*z**2 - 674*z**3 - 965*z**3 + 141*z**2 - 114*z**3.\nAnswer: -1753*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*((-3)\/(-1))\/(-9). Let h = -8 - -5. Let k(i) = 2*i + 2. Let s(r) = -4*r - 3. Calculate h*s(p) + j*k(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 416 = 199. Suppose -6*u - 25 = -u, 5*u + x = 2*y. Let g = y + -16. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + 0 - -37. Suppose -3*y - r = -l, 25 + 117 = 5*l + 4*y. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 7*d**3 - 9*d**2 + 18*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -53. Find the second derivative of f*x**2 + 14*x**5 - 8*x**5 + 14*x + 0*x**2 wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33 + 0 + (-30)\/(-10). Suppose -k = 3*c - 3*i, -c = 2*c + 5*i - 4. Put c, 4, 1 in decreasing order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqoqoq. What is prob of sequence qo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:31 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*h = -422*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -8\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 7:33 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-2232)\/(-10))\/((-6)\/30). Suppose -l = 15*i - 17*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 32. Solve q = -4*n - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {k: 4, p: 3, i: 2, q: 2, l: 3, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110 or 980\/9?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 6. Let s(f) = 6*f - 4*f + f + 2 - 38. Suppose 16*t + 33 = 19*t. Let c be s(t). Give j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 2*v**2 - 40*v - 19. Suppose -2*y + 42 = y. What is the least common multiple of y and c(-7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/12 - (-2)\/4*-6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 7*r - 4. Let l be j(-6). Suppose -t + 45 = l*a, 45 = t + 3*a - 3. What is the greatest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 129*d + 5 = -134*d, -4*j = 7*d - 4*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.098 - -0.044. Let o = 59.154 - 52.1. Let p = h + o. What is the closest to -0.3 in 4, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163*j**3 + 396*j**3 - 1189*j**3 + 1965*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 15066 = -3017 + 2433. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfbflgalgfaagof. What is prob of picking 1 o, 2 l, and 1 g?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 45?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -166292 divided by 9?\nAnswer: -166292\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 117 = 4*d, 2*y - d - 7 - 45 = 0. Suppose 142 = u + 2*u + x, 0 = -5*u + 3*x + 246. Calculate the remainder when u is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2811108 - -4197108. What is a rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 28\/((-84)\/75)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(384)\/sqrt(12) - sqrt(2)))**2 + -5*(((sqrt(2)*-1*5)**2 - sqrt(2)) + sqrt(2)) + 3.\nAnswer: -220 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 - (-2 + 3) - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*j**3 + 4*j**3 - 22*j**3)*(10 + 8 - 3) to the form h + c*j**2 + v*j**3 + q*j and give v.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751*m + 746*m + 281165 = -2*r, -281160 = -5*m + 3*r. Is m a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 105*r**2 - 54*r - 47. What is the units digit of d(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -60, -99, -144, -195?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -277*i**3 - 2*i**2. Let n(r) = -138*r**3 - r**2. Give 3*k(t) - 7*n(t).\nAnswer: 135*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nenqqneencnh. Give prob of picking 1 n, 1 c, and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3672 and 4?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 51. Sort s, 2\/15, 3, -0.1 in ascending order.\nAnswer: s, -0.1, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/3)*q*q)**(2\/7)\/(q**(-3)\/q**(-2\/17)) assuming q is positive.\nAnswer: q**(181\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 + -1 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 265*o - 696. What is the units digit of i(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6552611 to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrl when three letters picked without replacement from {l: 3, r: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - 202121?\nAnswer: -210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 + -203. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 + 98*p + 1032 = 0.\nAnswer: -86, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289945 is divided by 660?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2 + -42 + 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1170, -2947, -5334, -8331, -11938?\n\"Answer: -305*i**2 - 862*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -151, 3, 9, -1 in descending order.\nAnswer: 12, 9, 3, -1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 15, 4 = -2*i + 3*j - 5. What is the first derivative of -1 + 0*t**3 + t**i + 1 - 1 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + sqrt(17) + sqrt(17))**2 + 5 + 3 - (-1*sqrt(68) + -4)**2.\nAnswer: -16*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012276568 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -23. Suppose -4 = 5*b + 21, 0 = -5*m + p*b + 80. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 + 3 = 0. What is the nearest to -7 in 3\/2, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*l. Suppose l*y - 13 = 2. Suppose 5*p + 11000005 = -0*p + y*a, 5*a = 5. What is p rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010345 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 2*f**3 + 7*f - 9*f + (1 - 1 + f**2)*(-4*f + 3*f - f) + 4*f + 4*f**3 - 4*f - 3*f**3 + 2*f**3 + 3*f**3 as h*f**3 + u*f**2 + o + z*f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3783*w**4 - 68673*w?\nAnswer: 45396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 708 and -12600 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:18 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000200451401 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 3)*3913\/(-52). Let j = -59 - t. Suppose -3 = -5*v + j. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 2*j**3 - j**3 + (8 - 26 + 6)*(-15 + 14*j**3 + 15) + (0 - 2 + 4)*(-2*j**3 - 3*j**3 + j**3).\nAnswer: -178*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -1525, -5096, -12033, -23458, -40493, -64260, -95881?\nAnswer: -136478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16657*u**6 + 1005*u**2 + 16377*u**6 - 7*u**3 + 7*u**3 wrt u.\nAnswer: -33600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6259582.\nAnswer: 2, 7, 31, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, w: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25371 = -10*w + 13*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 36 = 0. Let w(m) = 0*m**2 + m**3 + 22 - 5*m**2 - 63*m + 60*m + 0*m**3. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-4)\/(-4) - -4. Let x be 2*t\/4*-6. Let y = x - -13. Solve -6 + 14 = -y*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/1443)\/(644\/2093)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 326?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(363*g + 620*g + 230*g + 559*g) to f*g + s and give f.\nAnswer: -1772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3360)\/630*(-21)\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**5 - 5*w**4 + 25*w**3 - 12*w**2 + 3*w. Let j(d) = -3*d**5 + 2*d**4 - 8*d**3 + 4*d**2 - d. Let n(q) = -7*j(q) - 2*o(q). What is l in n(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*i - 16 = 0, m - 3 = -0*m + i. Find the second derivative of j + j + 2*j**m + 0*j wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -5, -0.4, 0.04, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2343?\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*m**2 + 45*a**2 - 12416*a*m**3 - 459*a*m wrt m?\nAnswer: 4*a**2 - 74496*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70557 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**2. Let i(h) be the first derivative of 17 - 13*h**3 + 17*h**3 + 7 + 1. Determine y(i(d)).\nAnswer: -864*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 994 = 65*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 3\/5 (c) -1\/8 (d) 176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 103 - 2433f2?\nAnswer: -2432ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/9 + 164\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:08 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = -13*y + 7488. What is the highest common divisor of 360 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 2\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116406 and 119974?\nAnswer: 31313214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10263*m = -10299*m + 144 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:00 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129.29999257 + -129.3. Round j to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-595)\/3108) - (-2)\/10. Suppose 2*j = -j + 3*h + 63, -5*j + t = 3*h. Solve 3*z - 4 = -j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/16*(-24)\/(-27)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1577 or 1578?\nAnswer: 1577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63\/26 + -12\/13. Let l be 1\/1 + 2 + -2. Is l at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001288745738 rounded to six decimal places?\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let w(f) = -2*f**2 + f + 2. Let z be w(2). Let x(k) = -7*k**3 + 2*k**2 - 1. Let t be x(-1). Let a = z + t. Calculate d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, -12, -50, -108, -186, -284, -402?\n\"Answer: -10*r**2 + 12*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(10*5\/50)\/((-8)\/(-104))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15698850 to the nearest one hundred thousand.\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**10)\/y)\/y)\/(y*y**(-2\/11)))\/(((y\/(y\/(y*(y*y**(1\/3))\/y*y)))\/y)\/y**(-2\/11)) assuming y is positive.\nAnswer: y**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 19550\/544 + 2\/32?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**5*n*n**(3\/2)*n)**2 assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163579082 and 8178.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4249 - 29361 = -498*w + 1301*w + 25477 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6.2228 times -0.0597\nAnswer: -0.37150116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:57 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*y**3 + 1659*y**2 - 203103?\nAnswer: 33*y**2 + 3318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 2*j + j - 11*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 421957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-2028)*195\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50\/7*t**2 + 1250\/7*t + 2\/21*t**3 + 31250\/21 = 0. Calculate t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74262724 (base 8) to base 9.\nAnswer: 32682258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559, 4437, 8637, 14159, 21003?\nAnswer: 29169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3396951 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 7. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 27*v**4\/5 + 168*v**3\/5 - 1827*v**2\/5 - 4572*v\/5 - 924\/5 = 0.\nAnswer: -11, -2, -2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -144, -528, -1274, -2502, -4332?\nAnswer: -6884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 89. Calculate the greatest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, v: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s + 16 = -4*m, 4*s + 8 = -2*m. Let o(w) = 154 - 40 - 44 - 6*w - 43. Let h be o(4). Put 2\/11, m, h in descending order.\nAnswer: h, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2*g + g)*(2688*g + 3324843 - 3324843) + 3*g**2 + g - 5*g**2 + 0*g**2 as l + m*g**2 + b*g and give m.\nAnswer: -5378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 31*a - 1. What is i(-26)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2\/2 - 5*s + 2. Let u be c(-7). Suppose 0 = 5*m + y - 543, -323 = -2*m - m - u*y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 - -74. Let d = t - -210. Suppose -5*b + 25 = l, 6*l + 4*b = 2*l + d. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7133 + 7129. Let u be (-10)\/4 + 2\/4. Sort 9, -1, f, u.\nAnswer: f, u, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 3*j + 3*j. Let u = -8 - j. Solve 2*b + u = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v + 51*v**3 + 3 - 50*v**3 + 10*v + 0 - 45*v**2 wrt v.\nAnswer: 6*v - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/24 + 2*c**3 - 5*c**2. What are the prime factors of k(26)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 0.4 (b) -16.9 (c) 4 (d) 291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 6. Suppose 2*m + 2*q = 7*q - 22, -2*m - 14 = -q. Let w(k) = 1. Let s(n) = m*w(n) - h(n). Let z(f) = -2*f**2 + 1. Give z(s(y)).\nAnswer: -8*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 + o**4\/8 + o**3\/3 + 7*o**2. Factor p(y).\nAnswer: -(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25639*f**4*r - 46*f**2*r - 3*f**2 - 52*f*r wrt f.\nAnswer: 615336*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-6))\/(16\/2376) is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002212 - 1?\nAnswer: 2002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5918607561.\nAnswer: 3, 1972869187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -113 - ((-8 - 75) + 71)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*x + 2805 + 3317 + 318. What is the remainder when 12934 is divided by x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 18 = 28*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5002*a**3 - 6 + 22*a**2 - 5 + 11.\nAnswer: -5002*a**3 + 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + sqrt(176) + 2 - (sqrt(539) + -1 + sqrt(539)))**2 - ((sqrt(396) - (-1 + sqrt(396))) + sqrt(396)*3).\nAnswer: -66*sqrt(11) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnvvqnllqtnlqmnmlml. Give prob of picking 1 m and 1 t.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 times 5?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 3. Let t(u) = u**3 - 2*u - 6. Let k(z) = z**3 - 3*z - 7. Let d(r) = 2*k(r) - 3*t(r). What is 3*d(h) - 4*q(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(204)*-5 + 6*(-3*sqrt(204) - sqrt(204) - sqrt(204)) + sqrt(204))\/(3*sqrt(12)*-5 - (sqrt(36) + sqrt(36) + sqrt(396)\/sqrt(11))\/sqrt(3)))**2.\nAnswer: 40817\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0 + 0)*(2 + 9 - 3)*(g + 2*g + 0*g).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.0023495us?\nAnswer: 0.000000016705825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360*h = -1355*h + 5*x + 35, 0 = -4*h + 2*x + 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -775 - 1805. Let l be 98\/f - 7\/42. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -294299, -294295, -294289, -294281, -294271?\n\"Answer: d**2 + d - 294301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6311 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1153 + 4260. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -524*7\/(-532) + -3 - 4. Let j be (-5)\/7 + 2\/(-7). What is the closest to j in h, -0.1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/12)\/((25\/(-75))\/(55\/30))?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 + f**2 - 14*f - 14. Let m(g) = -4*g**3 + 5*g**2 - 13*g - 15. Let h(z) = 3*j(z) - 2*m(z). What is s in h(s) = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c3298 (base 14) in base 8?\nAnswer: 14031526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.94423 kilograms in grams?\nAnswer: 12944.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozxztzszz. Give prob of picking 1 t and 1 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhdhlhuhhhhlulluulh. What is prob of sequence ld?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-23)*l*l**(-6) assuming l is positive.\nAnswer: l**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61552?\nAnswer: 2, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/12)\/(1\/30)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*f - 157, 314 = 3*u - 4*f + 117. Suppose 0 = 4*z + y - 43, 5*z - 2*y = -5*y + u. Does 32 divide (42\/z)\/((-12)\/(-180))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 - 7 = -5*k, q - k + 2 = 0. Is -39\/46 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -159, -161, -163?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6\/65 (b) -1\/3 (c) 2\/17 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48220*q - 48215*q = -m - 3, 0 = -m - q + 5 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.7985234 to 3 dps.\nAnswer: 13.799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 8 = 0. Let w(f) = 7*f - x*f - 5*f - 3*f. Give w(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46599, -186453, -419549, -745893, -1165491, -1678349, -2284473?\n\"Answer: -w**3 - 46615*w**2 - 2*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 14\/3, -70, 8, 5, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -363, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 11*t**2 + t - 12. Let o be d(11). What is the units digit of o\/(-2)*(-10 + 54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 i, and 1 z when four letters picked without replacement from zzmiomioiomzmoio.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a4d + 5?\nAnswer: -1a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 1, r: 1, i: 1, x: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 22*q**3 + 3*q**2 + 13*q - 6. Let f(g) = 69*g**3 + 8*g**2 + 41*g - 19. Give 6*f(z) - 19*y(z).\nAnswer: -4*z**3 - 9*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486748 is divided by 243314.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1270776 and -2498.519.\nAnswer: 1268277.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44844, 44835, 44822, 44805, 44784, 44759, 44730?\nAnswer: 44697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 189224.5ng?\nAnswer: 189.2245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 5359*c**3 + 26816*c**2 - 21456*c.\nAnswer: -c*(c - 4)*(c - 1)*(c + 5364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1219*c**2 - 9*c + 9. Let s(t) = 2440*t**2 - 21*t + 21. Let x(g) = 3*s(g) - 7*w(g). Let i(b) = -2*b. Determine i(x(j)).\nAnswer: 2426*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2141\/4 + 6209\/12. Calculate the common denominator of 87\/236 and w.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b + 2. Let a(x) = -x**2 - 6 + x**b - 8 + 18 - 2. Give a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -929, -928?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*a - 3*u, 5 + 11 = -2*a + 5*u. Let b(s) = -s - s + 2 + 1 - 2*s. What is the units digit of b(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289 + 1289 + 10*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g - 7. Let o be d(-3). Let y be (4\/o)\/(65\/35). Which is the second smallest value? (a) y (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/3*11\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*s**2 + 20*d**3 + 46*d**2*s**2 + 1 wrt s.\nAnswer: -4*d**3*s + 92*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 33 = -5*y - 11. Solve 17*a = y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0 - 2 + 1)*(2*r**4 - 3*r**2 + 3*r**2).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107635465 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - m - m)*(-m + 3*m - 3*m) - m**2 + 0*m**2 + 4*m**2)*(-15*m**2 + 15*m**2 - 9*m**3).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 2*y + 7. Let d = -16 - -19. Let n be b(d). Suppose -3*m - n = -7*m. Is m >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3248*p**5 + 4133*p**5 + 5*p**2 + 1 - 5*p**2 + 678*p - p**3 + 2 wrt p.\nAnswer: 17700*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 263, 1 in ascending order.\nAnswer: -16, 1, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1371 - -3757\/3. Let i = -117 - h. Factor -4\/3*j**4 - 1\/3*j**5 + 2\/3*j**2 - 4\/3*j**3 + 2\/3 + i*j.\nAnswer: -(j - 1)*(j + 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832892572 to the nearest integer?\nAnswer: 28860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 41*u**3 - 2*u**2 + 244*u + 484. Calculate r(-2).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*t - 12*t. Let q(v) = -v**3 + 2*v - 1. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019336413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**7*z*z)*z**5*(z*z\/(z\/z**(-7\/2)*z))\/((z*z**(-2\/11)\/z)\/z) assuming z is positive.\nAnswer: z**(-117\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 0\/(-2) - 3317\/1284. Let h(f) be the second derivative of 0*f**2 - 3*f + 0 - u*f**4 - 2\/3*f**3. Find the second derivative of h(p) wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 32, 30, 26, 20, 12, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + 3. Let k = m + 3. Suppose k = -5*y - v + 40, 0*v = 2*y - 3*v - 33. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = 5. Let r(k) be the third derivative of -k**4\/24 - k**3\/3 + 356*k**2 - 1. Let l(c) = 2*c + 3. Calculate i*l(t) - 7*r(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5*s + 4593154*b**5 - 2*b*s + 3928742*s wrt b?\nAnswer: 40*b**3*s + 91863080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 23 = 3*v. Suppose v*n = 50 - 8. Let r(x) = -2*x**3 - 2*x - 2. Let g(h) = -7*h**3 - 9*h - 9. Determine n*g(o) - 9*r(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - -0.4. Let u be (-5)\/(-12) + (-3)\/(-9). Sort u, 3, d in decreasing order.\nAnswer: 3, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 398*h + 195*h + 192*h + 2*h**2 in the form f*h**2 + w + p*h**3 + i*h and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*r + 10 + 60, 5*u + 5*r = 70. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-6.6\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 2*y**2 - 2*y + 2. Let k be z(-3). Suppose -o = -3*r + k, -4*o + 3*o = 2*r - 37. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-28.7342.\nAnswer: -201.1394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, -2\/11, -466, 13\/3, -0.5 in descending order.\nAnswer: 150, 13\/3, -2\/11, -0.5, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:31 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23980640*w + 15539711 with respect to w.\nAnswer: 23980640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1053) + 2 + 4 - (sqrt(78) - sqrt(78)*-2*-4 - sqrt(78))\/sqrt(6))**2.\nAnswer: -7586 - 408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 8 = -8*d. What is the closest to -2\/7 in d, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3 - 4\/(-2). Suppose -c*a = -a - 3. Let q = 2 + 1. Is a smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 22 - 22)*(2*y**4 - 4*y**4 + 3*y**4) + 2*y**5 + 0*y**5 + 2*y**5 + (-y + 2*y + 0*y)*(-8*y**2 - 7*y**4 + 8*y**2).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*k, 46 - 2 = h - 5*k. Let z = 105 - h. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(56\/80).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 0*s**3 + 0*s**3 - 12*s**2 - 8*s + 5*s**2 - s**3. Let i be (2 - 1)\/(-1) + -5. What is the tens digit of c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let y(n) be the first derivative of n**6\/360 - n**3\/3 - 2. Let f(d) be the third derivative of y(d). What is r(f(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u + 29*u - 29*u**2 - 59*u + 15 + 20*u**2 - u**3. Suppose 0*y - y = 10. Give j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144473.\nAnswer: 7, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17411, 34833, 52259, 69695, 87147, 104621, 122123, 139659?\n\"Answer: t**3 - 4*t**2 + 17427*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 3249.\nAnswer: -80\/1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -333 and 574.\nAnswer: -191142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 22*w + 633. What is m(-32)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaaazzzazzazazziaaa. Give prob of sequence zzaa.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 813332197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833 divided by -1.\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 356*k**2 + 352*k**2 + 176*k**3 - 708*k**2 - 429 wrt k.\nAnswer: 528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1 + 6 + 4*a - 20*a. Let x(r) = -17*r + 6. Suppose 5*f = 5 + 25. Let i(y) = f*x(y) - 7*d(y). Calculate i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56142477, -56142476, -56142475, -56142474?\n\"Answer: c - 56142478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - (-16 + 19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f*h*r**2 - f*h*r - f*q*r**2 - 2*f*r**2 + f*r + 5*h*r + 2*q*r + r wrt r.\nAnswer: -16*f*h - 2*f*q - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-2*(-1)\/4 + -1). Suppose -4*l + 85 = 3*z - 86, 0 = 2*l - a*z - 105. Calculate the greatest common divisor of l and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615 a factor of 3565920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 8. Let r be s(-4). Find the third derivative of -10*b**4 + 11*b**r + 5*b**2 + 16*b**2 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)*k\/(k\/(k*k**(-1\/11)\/k*k)) assuming k is positive.\nAnswer: k**(-111\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4473778 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.46 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 1)*(-1 - 3*b + 1) + 3*b - 169 + 169 + (-5 + 1 + 1)*(-2 - 2*b + 2).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 12. Suppose -2*z = 2*z - 8. Suppose -z*g = -n*g + 16. Solve -l = l + g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/104)\/((-27)\/(-216)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 27*r - 260 = 0. What is the remainder when r is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13290 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: Is 14 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 - 7*y**3\/3 + 3*y**2\/2 - 4*y + 1154. What is h(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - j)*(1 + 0 + 1)*(2 + 0 - 7).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 43. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgg when four letters picked without replacement from {k: 2, g: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.023 - 2.068. What is c rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1345355 and 1604.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2898 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1153\/45 - 219\/10. Let t = -18833\/14 + 1340. Calculate the common denominator of q and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, -6, 30 in descending order.\nAnswer: 30, 21, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 4, x: 5, i: 2, d: 4}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3669 - 88181\/24. Let a be (1 - 1) + 3 + 56575\/60. Let r = -944 + a. What is the common denominator of w and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21307 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/2205)\/(32\/(-8400))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**2 - 19*s + 4. Let d be y(8). Let a = 1397 - d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64 + -11b94?\nAnswer: -12038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/4, 5\/6, -3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18\/23 + 188\/299. Let z = -13.89 - 0.11. Let y = 14.03 + z. Put 1, y, f in descending order.\nAnswer: 1, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 9*y**2 - 2*y**2 + 297 - 58*y + 6*y**2 - 904. Let q be g(67). Let s(c) = 5*c + 3. Let p(a) = 5*a + 3. Let x(z) = -3*p(z) + 2*s(z). Give x(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297 and 397782.\nAnswer: 1193346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = -3*d - o + 74, 0 = -d - o - 72. Let u(y) = -7*y + 15. Let g be u(12). Let c = g - d. Solve z - 4 = 4*h, 5*h + 2 + c = -2*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.77 + -47.76943932. What is z rounded to 5 dps?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4673287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1856 = -231*d - 3507 - 6949 + 1686 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**3\/3 - a**2\/2 - 17*a - 20. Let k(d) = d + 1. Let o(f) = 6*k(f) - t(f). List the prime factors of o(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*k - 49*k + 23925. Calculate the remainder when k is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-9))\/((-10)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 - 380. Let j = 212.6 + z. What is j rounded to 0 dps?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 341*t**3\/3 + 1004*t**2 - 7988*t\/3 + 6640\/3.\nAnswer: (t - 332)*(t - 5)*(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -102763.15 rounded to the nearest one thousand?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4 = -2*y, 3*y - 5 = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j + 80. Let v be w(15). Suppose -4*s - 3*g = 14, -s - 3*g - 8 = -0*g. What is the tens digit of s\/(v\/((-380)\/8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*y + 5, -y + 7*q - 3*q + 6 = 0. Let a(t) = -4*t + 2 + t**y + 4 - 1. List the prime factors of a(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 + 4*m**3 - 8*m**2 - 24*m - 7. Calculate the remainder when 118 is divided by f(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 10933?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:34 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240*v**3 - 2*v**2 + 5*v + 4009.\nAnswer: 720*v**2 - 4*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 - -0.32. Let v = b + -0.14. Put 3\/2, 0.3, v in increasing order.\nAnswer: v, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17931, -18005, -18067, -18111, -18131, -18121?\n\"Answer: h**3 - 81*h - 17851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239768538 to the power of 1\/3, to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -157887 and 729 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110150848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**7\/2520 - o**6\/720 - o**5\/24 - o**4\/4 - 5*o. Let a(i) be the third derivative of m(i). What is the tens digit of a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 17*g**3\/3 + 10*g**2 + 500*g\/3 - 1000\/3.\nAnswer: (g - 10)**2*(g - 2)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -364904, -729761, -1094614, -1459463, -1824308, -2189149, -2553986?\n\"Answer: 2*m**2 - 364863*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dae when three letters picked without replacement from ehghhhhda.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344*t + 993*t + 5910*t to the form j + n*t and give n.\nAnswer: 6559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-2)\/(-36)*(270 - 270). Determine w, given that 0*w + 6\/5*w**2 - 1\/10*w**5 + i - 3\/10*w**4 + 2\/5*w**3 = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 1.68. Let v = 0.68 + t. What is the third smallest value in 5, v, -0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from {t: 4, j: 1, c: 3, p: 2, s: 6}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 2}. Give prob of sequence zzbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 6. Let x be ((-16)\/12)\/((-2)\/(-6)). Sort -0.5, d, x.\nAnswer: x, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -13. Let p be (-7 - b)*(-21 - 1). Suppose p = 2*s + 3*o, o = -s + 75 - 30. Calculate the remainder when s is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 7*f**2 + f + 72. Let z(k) = -k**2. What is z(y(r))?\nAnswer: -196*r**2 - 28*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.062 + -11.362. Round p to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 497 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:47 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6*4)\/((-18)\/(-1))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41597 is divided by 1162?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6557817410 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**3 + 7841*t**2 - 3917*t**2 - 3925*t**2.\nAnswer: 14*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43158 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in -7, 0.1, -5, -0.11, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b + 7*b - 4935. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8525 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let z(y) = 4*y**2 + y - 5*y**2 + 2*y**2 + 4. Let o be z(0). Solve -5*j + v = -m, 5 = -4*j + o*m - 5*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (9 + -24 - (-20 - 6))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006770273 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011010 + 100?\nAnswer: -10010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 102 = 48. Solve 4*o + 2*w = 3*w + 21, -2*w + z = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 < -385\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 22*o**2 + 16*o + 76. Let j be n(-21). Let i(k) = -87 + j - 93. Let a(h) = -2*h**2 - h - 8. Determine a(w) + 5*i(w).\nAnswer: -2*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (298\/8)\/(143270\/(-7960) + 18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1618 > -653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1114.\nAnswer: -5\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -1\/4, -0.11, 569\/39.\nAnswer: -1\/4, -0.2, -0.11, 1, 569\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let c(o) be the first derivative of o**2 + 3. Calculate c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*z - 20*z + 2*q - 98, 975 = 45*z - 3*q. Suppose 0 = r + 3*r. Put -3, r, z, -2 in descending order.\nAnswer: z, r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85400 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111028444841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 - 11*c + 2. Let q(j) = 9*j**2 - 16*j + 3. Let n(y) = 22*y - 127. Let d be n(6). What is d*q(t) - 7*i(t)?\nAnswer: 3*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 11 = 5*w + 3*q, -5*w - 26 = -2*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547131 is divided by 4411.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 31*b**2 - 99*b + 239. Let s be k(-27). Let d(i) = -i**2 - 17*i - 1. Determine d(s).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22938, 23021, 23102, 23181, 23258?\n\"Answer: -o**2 + 86*o + 22853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, k: 2}. Give prob of picking 1 c and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17502220 divided by -2\nAnswer: -8751110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*(x\/x**(-4\/15)*x)\/x*(x*x\/x**(-6)*x)\/(x\/((x*x**(-5\/6)\/x)\/x)) assuming x is positive.\nAnswer: x**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n + 1 + 0*n - 5*n)*(-11 - 1 + 0)*(0 + 2 + 12*n - 92*n) to g*n + y + s*n**2 and give s.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x + 3*x - 2)*(-1 + 4 - 5) + 0*x - 2*x + 3*x + (1 - 4 + 8)*(4*x - 5*x + 0*x) - x - 2*x + x to r*x + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887217653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 479 = -46. Suppose 178*t = s*t - 3. Let g = 12\/55 - -2\/11. Which is the smallest value? (a) -1\/4 (b) t (c) -2\/15 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = p - 21, -4*p - o = -2*o - 46. What is the lowest common multiple of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 10, z: 2, b: 1, a: 2}. What is prob of picking 2 x and 2 z?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 - 45275991963.\nAnswer: -45275991960.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Suppose 12*s = 19*s - 63. Suppose t - s = -13. Sort r, 2, t.\nAnswer: t, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2892858 by 906.\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24133 - 5?\nAnswer: -24142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 38243.7 days?\nAnswer: 3304255680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**6\/720 - o**5\/60 - o**4\/6 + 25*o**3\/6 + 3*o + 4. Let a(x) be the third derivative of z(x). Calculate a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -0.1, 4\/5, 1 in decreasing order.\nAnswer: 5\/3, 1, 4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-1 + 0 - 6)*-27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-2\/27)\/u)\/u)**(2\/25) assuming u is positive.\nAnswer: u**(-58\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*s = 75, 2*s + 78 = -13*j + 15*j. Calculate the least common multiple of j and 930.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -1, 2, -5 in decreasing order.\nAnswer: 10, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -950, -1827, -2694, -3545, -4374, -5175, -5942, -6669?\n\"Answer: v**3 - v**2 - 881*v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -44950 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 117. What is o(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*r**6 - 12*r**2 - 90*r**4 + 90*r**4 wrt r?\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 2, k: 7}. Give prob of picking 1 k and 2 i.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2237836.2 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 1.501479.\nAnswer: 22.522185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 49. What is s(19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1881619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 39. Let h(p) = p - 8. What is h(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)\/s**7)\/((s*s**7)\/s*s*s**(-5)*s) assuming s is positive.\nAnswer: s**(-97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 3*u**2 - 2*u - u**2 + 1. Let n(g) = -g**3 - 8*g**2 - 3*g - 20. Let k be n(-8). List the prime factors of q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 5:01 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.875731 to one dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 8?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.189 - -0.7\nAnswer: 0.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511.7776 nanometers to meters.\nAnswer: 0.0000005117776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - -1. Suppose 3*d - l = 5*j, 2*d = 5*d + j - 7. Solve -d = -2*z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431\/286560 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(132)*5)\/(2*(sqrt(1200) - (sqrt(1200)*-2 + sqrt(1200))) + sqrt(1200)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/((-31)\/434)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463 + 1022. Suppose 5*z - o + 94 = 0. List the prime factors of z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**3)\/f))**(1\/2)\/((f*f**(1\/17))\/f*f**7))**44 assuming f is positive.\nAnswer: f**(-6028\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyyg. Give prob of sequence hg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5, 5*i - 26*t + 11*t = -13*t + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/197 and -22\/5?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 345 and 6003?\nAnswer: 30015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -61, -66, -71, -76, -81?\n\"Answer: -5*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**2*y**3 + 74*w**2 + 2*w*y**4 + 3*y**4 + 2*y wrt y.\nAnswer: 6*w**2*y + 24*w*y**2 + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -12 - -16 - 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-5)\/11) - -4. Let p = h + -33\/5. What is the smallest value in 5\/4, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20840 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 the eighth root of 7196140 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16355 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**6\/6 + 3*k**5\/20 + 74*k**2 + 8*k. Differentiate g(o) with respect to o.\nAnswer: 100*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/11 - (140\/(-40))\/((-140)\/(-160))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4*o + 7. Suppose 4 = 2*d - 6. Let i be l(d). Suppose 0 = 4*f - i. Which is smaller: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 + t + 2. Let i be q(2). Suppose -6*o + 3 = v - o, i = -4*v - 5*o + 42. Suppose 12*c + 57 = v*c. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4769 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgwcwwwggcwc. What is prob of sequence gg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/50553?\nAnswer: -10\/50553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 + 2*a + 2. Let k be h(-1). Sort 3, k, 10, -4 in decreasing order.\nAnswer: 10, 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59595, -118756, -177917, -237078, -296239?\n\"Answer: -59161*n - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 1932, 3331, 4770, 6255, 7792, 9387, 11046?\nAnswer: 12775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 14*z**2 + 3*z + 38. Let d be l(-7). Calculate the least common multiple of 4 and ((-18)\/(-5))\/(8\/d).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002022010002222 (base 3) to base 5.\nAnswer: -12441242040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = -130. Suppose 3*b = -4*i + x, 14 = 3*i - 3*b + 5. Solve -3*l = -8*l - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/((-259650)\/(-145800) - 14\/8).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (16 + 12 + -74)) + -7 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 1592 = 718. Suppose j = 4*g + 94. Solve 2*u = -3*p + 9, 0*u - 2*u = -g*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2 + 112*d - 22. What is g(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5950.57m?\nAnswer: 5.95057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -515*f**2 - 18 - 271*f**2 + 3 + 7 + 21*f - 4 wrt f?\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 972250471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 - 7*r**2 + 31*r + 8. Let l be b(-6). Calculate the remainder when (754\/(-65))\/(l\/(-10)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111, 211, 283, 309, 271, 151?\n\"Answer: -3*k**3 + 4*k**2 + 109*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**3 + 9*m**2 + 6*m. Let x(w) = -20*w**3 + 26*w**2 + 17*w. Calculate 17*h(j) - 6*x(j).\nAnswer: j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 124 = 24. Let a = n + 173. Let k = a + -36. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, 0, 62, -15, 1, 4 in descending order.\nAnswer: 62, 27, 4, 3, 1, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - r**2 - 25*r**2 + (1 - 6 + 3)*(0*r**2 - 2*r**2 + 4*r**2) to the form z + x*r**2 + t*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/23 and -27\/7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*g + 2 = 18, 0 = -g. Let u = 0.297 + -0.397. Put z, u, 8, -6\/11 in increasing order.\nAnswer: z, -6\/11, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2) + (-1089)\/369. Let y = -3214.7 - -3215. What is the fourth biggest value in 2\/9, y, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roptwxxwotwtwpo. What is prob of picking 1 w, 1 r, and 1 o?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 5*r - 55, -3*k - 4*r - 33 = 0. Let t = k + 12. Solve 3*i = t - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 960 - 963. Sort 0, -2, u, -4\/9.\nAnswer: u, -2, -4\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243296 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 972 and 104760.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 2*z**3 + z**3)*(1 + z - 1) - 2*z**4 + 3*z - 3*z + (-5*z**2 + 5*z**2 - 6*z**3)*(-z - z + 3*z) + 4*z**4 - 4*z**4 + z**4.\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*r - 2154, 9*f - 5*r = 4*f - 2670. Let m = f - -557. Solve m = -5*z - 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/10257 and 59\/91?\nAnswer: 71799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*c + 8, -72*c + 8 = 2*n - 76*c. Solve -n*h + 1 = 3*m, -42*h + 46*h = 2*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o. Let f(n) = -26964*n. What is f(w(v))?\nAnswer: -242676*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 648, 982, 1638, 2724, 4348, 6618, 9642?\nAnswer: 13528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)*1\/3. Suppose m = l + 3, 0*w + w - 1760003 = l. Suppose w = -4*h + 3*h. What is h rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4430 (b) 4 (c) 15 (d) 0.2 (e) 2\/5 (f) -6 (g) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -393*d**2\/7 + 949887*d\/7 - 14502\/7 = 0.\nAnswer: 2\/131, 2417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2524 and -5\/8?\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2008, -4044, -6080?\nAnswer: -8116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -9. Is 5*(-2 + 82\/r) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 71.76333 centuries?\nAnswer: 717.6333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p - 950. Let l(k) = -2*k - 314. Calculate 8*l(i) - 3*w(i).\nAnswer: 2*i + 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = 5. Let p = 86.7 - 87. Which is the second smallest value? (a) 2\/3 (b) p (c) 0.3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 249, 200, 123, 12, -139, -336?\n\"Answer: -b**3 - 8*b**2 - 18*b + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.991819279 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56288, -112604, -168942, -225308, -281708?\n\"Answer: -n**3 - 5*n**2 - 56294*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1 + 1 + 2*i**2 + 5*i + 3*i**2. Let k(x) = 11*x**2 + 11*x + 5. Let y(r) = 2*k(r) - 5*o(r). What is the second derivative of y(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726 divided by -33\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let f(s) = s**2 + 5*s + 6. Let a(j) = f(j) - 2*u(j). Calculate the smallest common multiple of a(-7) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359756 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -801, -0.1, 0, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.14, -25, -8\/13, 0.07, -0.06?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsivssskkv. What is prob of picking 2 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 0 + -37 - -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 1\/3, 1791?\nAnswer: 1791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + w + 84*w**4 - 2*w**2 - 325*w**3 + 54*w**4 - 7 + 325*w**3 in the form n*w**4 + a + o*w**2 + u*w + m*w**3 and give n.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.8 - 1.3. Round a to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11737 and 54417.\nAnswer: 598587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5517374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m - 12 = 0. Suppose -3*h = 4*z + 10, -h - 20*z + 24*z + 18 = 0. Sort h, m, 21 in ascending order.\nAnswer: m, h, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 6:05 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7611082 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(32\/292) - (9\/120 - (-59)\/(-295)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 12, 9483*y - 5*z - 48 = 9480*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1635 - 1633. Solve -w + 11 = -9*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 647?\nAnswer: -1294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/69 - 2197\/138. Calculate the common denominator of 103\/66 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*a = 549*a - 18 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -11\/8*q**4 + 0*q + 0 + 0*q**6 + 0*q**5 + 11*q**2 - 3\/35*q**7 + 0*q**3. What is the second derivative of l(t) wrt t?\nAnswer: -216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37672234?\nAnswer: 2, 73, 163, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (-1 - -3) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/30 + 2\/5. Let n(f) = -2*f**3 + 151*f**2 + 68*f + 592. Let w be n(76). What is the smallest value in 2, w, 0.5, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 9*v**2 + 6*v - 55. Let i be z(9). Let k = 9 - i. Let m(d) = -d**3 + 10*d**2 - d + 9. Determine m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/11)*l**(-32)*l**16\/l**(-11) assuming l is positive.\nAnswer: l**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-14 - 25\/((-3000)\/1696))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189844, 379705, 569568, 759433?\nAnswer: 949300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7176808 and 5.\nAnswer: 35884040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.4. Let i be ((-4000)\/(-1344) + -3)*-24. Which is the closest to -4.2? (a) i (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48527 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9845*(-26)\/65)\/(-2 - -3).\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7464946 + -12305308. Let g = n - -4840361.6300051. Let d = -0.37 - g. What is d rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7432*n**3 - 18326*n?\nAnswer: -44592*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6771 is divided by 296?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:07 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 3:43 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43727357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(187) + 4*1*sqrt(187)))\/((sqrt(55) - (sqrt(3520) - sqrt(3520)*1))\/sqrt(5)) + 0)*-4.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2522 (base 7) to base 5.\nAnswer: -12242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 317 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 6*r + 16. Calculate p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqdooorqrqp. Give prob of sequence qo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-55)\/66*(-226)\/(-10) and -4\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10929775222 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + 0 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192644, -387816, -582988?\nAnswer: -778160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -296, -5, 0.05097 in increasing order.\nAnswer: -296, -5, 0.05097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Let d = -3025.4 - -3023.4. Which is the nearest to -2? (a) d (b) -0.04 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 0.12, -2\/3, -1, -0.278, -3\/8?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -852976548450 + 276.\nAnswer: -852976548174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 228 - 958 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6*u)\/u*u*u\/u**(-1)*((u*u**(2\/5)*u)\/u)**46 assuming u is positive.\nAnswer: u**(372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 0, 60 in ascending order.\nAnswer: -2, 0, 0.3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0103333 to 4 decimal places.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4533 divide 1405404852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 28*r. Calculate o(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by ((-6)\/4)\/((-147)\/1568)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/2, 0.22, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -26 - 26. Suppose 9 = 3*w + 3*i - 6, 5*w - a = -4*i. Solve p - 2 - 2 - p**2 + w = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1208 and 16610302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(45\/15))\/((-2)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1054 (b) -0.3 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 28 - 13 + 27 - 5.\nAnswer: -3*r + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 3 + 2*l**5 + 0*l**5 + (-2*l**4 + 3*l**4 + l**4)*(-2*l + l - 2*l).\nAnswer: -4*l**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = -18*b + 10*r + 90, b = r + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 21.8, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) + -2 + sqrt(1568) + sqrt(1568))*-5)**2.\nAnswer: -8400*sqrt(2) + 352900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1216) - (sqrt(2052)\/sqrt(3))**2.\nAnswer: -684 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 10104600?\nAnswer: -10104600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5 - 465*b**4 - 17961*b**3 - 121083*b**2 - 244590*b - 141000 = 0?\nAnswer: -25, -5, -2, -1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 791*v + 154. Does 45 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b2b5c (base 13) in base 9?\nAnswer: 4077211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -117*j**2. Let i(v) = 889*v**2. Determine x(i(d)).\nAnswer: -92467557*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j - 1. Let a be m(-3). Suppose -2*w = -a - 60. Let h = -33 + w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, v: 2, o: 3}. Give prob of sequence ppvo.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*d + 119 = 0, 9*w - 5*w + 2*d - 144 = 0. Calculate the highest common factor of 185 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -14\/56211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.34, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268736 is divided by 4265?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l*l**(-20\/7)*l))\/l)*l**(-14\/5))\/(l**(-20)\/l*l*l**(4\/17)) assuming l is positive.\nAnswer: l**(10774\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -16) + (7 - -5) - (2 + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111011010110 (base 2) in base 12?\nAnswer: 12072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 2. Let i be 9 - (-13 + 98\/(-7)). Calculate the highest common divisor of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 242?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93749\/9 >= 10416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {g: 1, e: 1, m: 3, y: 2, v: 3, q: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -38*a**4 + 4*a**3 + 4*a**2 - 20*a + 22. Let i(t) = -28*t**4 + 5*t**3 + 2*t**2 - 21*t + 21. Let o(d) = -4*i(d) + 3*p(d). Factor o(w).\nAnswer: -2*(w - 1)**2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283040?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3102*z = 3104*z - 2*t, -5*z - 8 = -7*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.52 - -206.48. Let d = 207.9741 - t. Round d to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1380 - -690. Let w = 985 + q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1658 = f, 4*x - 815 = 5*f + 1381. List the prime factors of x.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1226 less than -68238667912?\nAnswer: -68238667912.1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1000204\/17 - -58836. Factor 0 + 2\/17*z**2 - l*z**3 - 6\/17*z**4 + 4\/17*z.\nAnswer: -2*z*(z + 1)**2*(3*z - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 26*x - 3. Let q(z) = 53*z - 6. Let d(f) = -11*m(f) + 6*q(f). Suppose 5*l - 63 = -23. Is d(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 3*w - 4039 + 4050, -15*w + 125 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqqqhqhhhqhiqhjrhqqq. Give prob of sequence hrw.\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 19\nAnswer: -64\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10014 + -22?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 72 = 52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2284, 0.168, -2, 2 in decreasing order.\nAnswer: 4, 2, 0.168, -0.2284, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 18. Let l be 52\/14 - p\/(-49). Solve -l*a + 15 = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49c724c + 2?\nAnswer: 49c7250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -107ac - 101?\nAnswer: -108ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m + 31. Calculate h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -36. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 5*s - 188123 = 17*r, 4*r - 250852 = 4*s. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 - 4*n**2 + 4. Let s = -326 - -369. Let h(t) = -129 - t**2 + t**3 + s + 43 + 44. Calculate 4*h(c) - w(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/9 - -1)*-3. What is the second derivative of -6 + s - 7 + 3*t**3 + 9*t wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 46 = -5*r, -2554*v + 2550*v + 5*r = 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**3 + 5*b**3 + 7*b**3 + 88 + 12*b**3 - 405.\nAnswer: -b**3 - 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*a = -33, h + 4*a = -4*h + 42. Let r(s) = -19*s + 122. Let u be r(h). Solve -3 = 2*f - 1, 5*f = -o - u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v**3 + 2*v + 1. What is j(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 6. Let p(c) be the first derivative of c**4\/12 - 5*c**3\/6 + 3*c**2\/2 + 5. Let q(h) be the second derivative of p(h). What is 5*k(v) + 6*q(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d + 4. Let i = -55 - -52. Calculate j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 309, 10, 3819 in decreasing order.\nAnswer: 3819, 309, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0043, -8, 2\/479?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 10\/((-100)\/(-430)). Let i = 67 - r. Solve -5*p - i + 9 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 17*i**2 - 50*i - 40. Let m be j(20). What is the highest common factor of 34880 and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318184 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -865326, -865343, -865368, -865401, -865442?\n\"Answer: -4*j**2 - 5*j - 865317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 100*k - 764. Give c(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u - 93. Let k be m(5). What is the second derivative of 28*t**2 + 2*t - 24 - k + 54*t**2 + 2*t - 2*t wrt t?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -1102\/3, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-seven fifths of a millennium?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + (2 + (sqrt(153) - (sqrt(153) - 1*sqrt(153))) - (sqrt(153) - (sqrt(153) + 1 + 0)))) + 4 + 0)**2.\nAnswer: 144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358961*-37.\nAnswer: -13281557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16196921, -16196922, -16196923, -16196924?\n\"Answer: -w - 16196920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -1050, -2367, -4180, -6471, -9222, -12415?\nAnswer: -16032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -5. Calculate the least common multiple of 9\/(-1)*(-60)\/54 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15756, -15782, -15808, -15834, -15860?\n\"Answer: -26*z - 15730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25537 times -10?\nAnswer: 2.5537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.3, 5, -137, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*m = -283*m. What is the third biggest value in 0.71, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, -6, -46, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -23971.5633.\nAnswer: -23966.5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-2)\/1) - -7. Let x = -8 + m. Suppose x = -3*b - 3*r - r + 65, -4*b = -2*r - 50. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 96013.53\nAnswer: 7681.0824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5 - 825*m**4 - 780*m**3 + 6620*m**2 + 9840*m = 0.\nAnswer: -164, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:08 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20.26026s?\nAnswer: 0.00023449375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337 by 1.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 715 and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4781 - 2816. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496772.\nAnswer: 2, 124193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*r + 4*j*r**2 + 69*j - 157*r**2 + 3 wrt j.\nAnswer: 6*j**2*r + 4*r**2 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u + 48463 = -3*d + 56*u, 48469 = -3*d - u. Round d to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*s - 1, -3*s = 4*p - 12 + 1. Let h(r) be the second derivative of 0 + 0*r**p + 2\/3*r**3 - 44*r. Let g(q) = 27*q**2. Give h(g(o)).\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j - 14. Let v(u) = 10*u - 16. Let t(a) = -4*v(a) + 5*w(a). Let p(m) = m - 1. What is -6*p(h) + t(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -232, -509, -886, -1357?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*n**4 - 71760*n**3 + 1862*n**2 + 316*n + 2 wrt n?\nAnswer: -336*n - 430560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j + 2. Let r(x) = 2*x**3 + x**2 - x + 725. Let k be r(0). Let o be k\/(-261) + (-2)\/9. Calculate p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 2\/3, -9852436 in increasing order.\nAnswer: -9852436, 2\/3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2714*y - 3483.\nAnswer: 2714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 14. Solve -y*p = 4*h - 4*p - 18, 3*h - 3*p - 18 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 2475000. Round o to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200030 (base 4) in base 13?\nAnswer: 2a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by ((-3)\/2)\/(3\/(-28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggrggrgggr. Give prob of picking 2 r.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 0. Let o = 35 + -34. Suppose -5*c + 2*c - 3 = 0. What is the closest to v in 0.3, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(360\/(-32)))\/(14\/35).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 119*d**2 + 66*d + 78. Calculate s(-59).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 + a**2\/2 - 14*a. Factor l(p).\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -40 + 33 + 18\/2. Solve -4*h - 18 = 2*o, -z = -2*h - 4*o - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -925 or -332?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1081 and -3.\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -59 (c) 7 (d) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 6 + 8 - 2.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170580, -258052, -345538, -433044, -520576, -608140, -695742, -783388?\nAnswer: -871084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(35\/(-3))\/(3*(-35)\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1919\/20832 or 0?\nAnswer: 1919\/20832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 34*l**2 - 159*l - 1143. Calculate a(12).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y - 7*y**4 + 23*y**3 - 21*y**3 - 48 + 47 in the form d*y + g + w*y**2 + j*y**3 + o*y**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -5*m - 163080. Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5215195877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 23. Let x = -28 + d. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7823362157 to the nearest integer?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120406880 divided by -80?\nAnswer: -1505086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r + 56*r + 12344865 = -5*x, -4*r = -2*x - 9875884. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6626, -14450, -22274, -30098, -37922, -45746?\nAnswer: -53570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:13 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**6*b\/b**(-1\/5)*(b*b**(-2\/17)\/b)\/b*b)**(-24) assuming b is positive.\nAnswer: b**(10032\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/130*-16)\/(4980\/(-500) - -10). Solve -6\/13*s**3 + 8\/13*s**2 - 64\/13 + z*s = 0 for s.\nAnswer: -8\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4160 = -570*f + 410*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 436342.\nAnswer: -1\/218171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/23))**(-18\/7)*d*d\/(d**(-7)*d)*((d\/(d**(1\/3)\/d))\/d)\/d assuming d is positive.\nAnswer: d**(3595\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 15 + 31 = 129*z. Let g(q) be the first derivative of 37\/2*q**2 + 19\/4*q**4 + z*q + 31 + 0*q**3. What is the second derivative of g(m) wrt m?\nAnswer: 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 4*f - 3*f)*(0 + 0 - 1) - 2*f - f + 4*f - 3 - f + 3 + (3 - 2 + 1)*(0 + 0 + 2*f) to m*f + b and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 85 = 4*f - 371 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -504425 divided by -23\nAnswer: 504425\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10592*u + 5038*u + 5988*u. Let n(z) = 2*z. Give n(r(y)).\nAnswer: 43236*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpm when four letters picked without replacement from wmllpllfwlmlmmlm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.4 (c) 0.6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 3085*u**4\/6 + 5553*u**2\/2 - 5549*u. Differentiate d(l) wrt l.\nAnswer: 12340*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -371\/6. Which is the second biggest value? (a) s (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34210696 divided by 8552674\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 2065*p**2 + 40740*p + 129600 = 0. What is p?\nAnswer: -15, -4, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15717302\/5733 - 24674\/9. Let s = -17880\/7007 - x. Find the common denominator of s and (-259)\/(-42) - (-2)\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 9. Let w(i) = 3*i - 4. Let n = 27 - 23. Calculate n*q(h) + 9*w(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350591159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l - 7*l + 13*l - 45 + 4*l + 10*l. Is 37 a factor of s(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Let b(o) = -3640*o**2. Give n(b(r)).\nAnswer: 26499200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232683227*c**3 - 1275357*c**2 + 70.\nAnswer: 1396099362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {q: 5, x: 1, g: 1, y: 3, a: 8, m: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135a679 (base 13) to base 8.\nAnswer: 27226721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -699*v**2. Let g(i) be the second derivative of i**3\/3 - 1719*i. What is m(g(y))?\nAnswer: -2796*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/4)\/(21\/(-3164)).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-555)\/3))\/((6\/(264\/154))\/1).\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 3*p - 5. Let u(l) = -3748*l**2 + 3*l - 7. Give u(k) - y(k).\nAnswer: -3749*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2492? (a) 3 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktyt when four letters picked without replacement from {y: 1, e: 8, t: 2, k: 2}.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*y + y - 2*l, -5*l + 7 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 13*k + 1. Let b be i(7). Suppose -2*t + 33 + b = 0. Suppose 0*m + m - 13 = 0. What is the remainder when t is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o + 1087046 = n + 81*o, -4*n - 3*o = -4348391. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241194341 to 5 decimal places.\nAnswer: 0.02412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -220120 (base 3) to base 13\nAnswer: -3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2. Let v(o) = -2*o - 2. Let g(j) = 4*j + 5. Let z(q) = -2*g(q) - 5*v(q). Give z(s(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**5 - 6 - 44*s**5 + 42*s**5 - 96*s**3 + 116*s**2 - 32*s + 2*s**4.\nAnswer: 2*(s - 1)**3*(s + 3)*(8*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*k**2 - 13 + 2*k - 3*k**2 + 25 to x + h*k + y*k**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -22*c + 131. Solve 2*g = -2*h - g - 16, -c*h - 16 = 2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 362662170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (505\/((-2598225)\/14210))\/(((-16)\/42)\/4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-371287)\/434)\/((-406)\/28)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 741*d*g**3*i + 2*d*g**3 + 3*d*g*i + 2*d*g + 11*d + 6*g**3 - 12*g - 2*i wrt g.\nAnswer: 4446*d*g*i + 12*d*g + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7660 + 7664 - 2*p + 4*p**4 - p**2 + p**3 - 2*p**4 in the form f*p**2 + s*p**3 + c + z*p + u*p**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.01, -3.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329621.9 milliseconds to nanoseconds.\nAnswer: 329621900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(5 - (-7979)\/(-1596)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*l = -351*l + 160. What is the smallest common multiple of l and 126\/3*(-10)\/35*-3?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7 + 5. Let q = i - -0.6. Let f = q - -0.1. Which is greater: f or -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 173986 = 4*h, -3*h - 48*d + 130507 = -47*d. List the prime factors of h.\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215\/3 + -214\/3. Sort j, 4\/7, -1 in decreasing order.\nAnswer: 4\/7, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 58. Give i(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397 + 2768 - 5*f**2 - 1371.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 - 55818*v**2 + 111657*v + 167472 = 0 for v.\nAnswer: -18608, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u - 7. Let w be g(-4). What is the greatest common factor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j + j**2 + (2*j + j - 2*j)*(-4*j + 4*j + 4*j) - 355 - 3683*j**2 + 355 - 1032*j**2 - 2109*j**2.\nAnswer: -6819*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xychhcsr. Give prob of picking 1 c, 1 s, and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(-1 + 0 + 2) - 162*r - 223*r + 336*r + (0*r - r + 0*r)*(0 - 1 + 3).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let v be i(5). Let z = 124 + v. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 divided by -1?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 18 - 4. Let y(s) = s + 10. Let a be y(o). What is the third derivative of -4*v**3 - 2*v**a + 2*v**2 + 4*v**2 + 0*v**2 wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 2928*p - 2925*p - 3, -5*q = -3*p - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 57804 = 2*q + 58000 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 3*d**2 + 3*d + 2. Let b be n(-2). Let k be 1*21*(1 - b\/(-10)). What is l in -3\/5 + 48\/5*l**5 - 69\/5*l**2 + 72\/5*l**4 - 27\/5*l - k*l**3 = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26166 is divided by 1249?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b + a - 27 = 0, 0 = -2*b - 4*a + 18. Suppose -b*u - 243 = -1058. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y, 3*r - y - 2 + 0 = 0. Sort 5, -2, r in decreasing order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1846051843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*s - 4, -3*s = -5*s + 2*g - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73438452?\nAnswer: 2, 3, 2039957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -233430 divided by -251?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 88 = 25*s - 23*s, -5*s + 220 = -3*y. What is the closest to -0.1 in 0.1, 1, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5744723 to the power of 1\/2, to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by -2607583.\nAnswer: -123\/2607583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/(-5)*(-4)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1070 - 667. List the prime factors of b.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + i**2 + i**3 - 4*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -37346\/19 (c) 16 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - -2 - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -749ac61?\nAnswer: 749ac63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2585 and 940?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2216135 = 3*n. Let d = n + -1193227. What is d rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((-1*sqrt(153) - sqrt(153)) + 3)*-4)*-2*1.\nAnswer: -48 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -35716625 and -35716625 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 9. Let m be h(8). List the prime factors of (-1)\/(-2)*-6*m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.056 * 0.0506391\nAnswer: -0.0028357896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 - 203*i + 70. Calculate t(-52).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026375879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319 + 328. Does -12 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1057, 17059 in decreasing order.\nAnswer: 17059, 1057, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3696?\nAnswer: -3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k)**(2\/143)\/(k*k\/k**(-4)*k*k*k**0)*(k**5\/(k**3\/k))\/(k**(-2))**(-1\/4) assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 11*x + 5. Give t(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*z + 2*v + 6, -5*z - 11 = 3*v. Let c(f) = 5*f + 3. Let y be c(-4). Let b be y\/3 + 4\/6. Put -4, b, z in ascending order.\nAnswer: b, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/10 + 18\/30. Suppose 0*z = x*z + 116. Let v = -13 - z. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 2*q**2 + 2*q - 12. Let x be s(0). What is the hundreds digit of (x - -11) + (108 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 8*s - 12. Let h = 40 + -37. Let i be 50\/(-4) - -3 - h\/(-6). Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/18*3*-9. Suppose -l + 484 = 4*c, -3*c + p*l + 56 + 307 = 0. Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159085 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -766300 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 50. Suppose 5*p - 2*p + 3*q - 15 = 0, 20 = b*q. Is p >= -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, 5, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6*l - 5. Let g be n(5). Suppose g = -3*b + b + 40. Solve c = -4*r - b, 3*c - 5*r - 27 + 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 485*z**2 - 6134*z + 1289. Give m(-472).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 245*v**2 + 3*v - 17. List the prime factors of x(-2).\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -278 + 304. What is the greatest common factor of 403 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -30, -32, -26, -12, 10, 40?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169140108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -15. Let j = 10 + w. Solve -j*m + m + 13 = 5*n, 4*m = -3*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 165? (a) 0.1 (b) -0.9 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -27. Let h = 20 + g. What is the biggest value in 0.2, 4, h, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4135, 3, 6 in decreasing order.\nAnswer: 4135, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = -10*m. Let t(d) be the first derivative of m*d**2 - 4 + d + 4\/3*d**3. Differentiate t(v) with respect to v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1465, 2101, 2737, 3373, 4009, 4645?\nAnswer: 5281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89621174083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.752264035 rounded to three decimal places?\nAnswer: 0.752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98677611?\nAnswer: 3, 41, 267419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147695033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 37 - (11 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - j - 4 + (1 + 1 - 4)*(2*j - 2*j - 2*j) + 2 - j - 2)*(1 - 4 + 1) in the form c + r*j and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*b - 2945, -3*w = -5*b - 3355 - 1566. Let y = b + 578. Let v be y\/105 - -1*4. What is the second biggest value in v, 5, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*c + 155, -2*y + 4*c + 745 = 3*y. What is the tens digit of y - 24\/(9 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) 0.3 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2 and 1\/482068.\nAnswer: 482068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3235503 (base 8) to base 16\nAnswer: -d3b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*q + 221*q = -3*k + 15, 2*k = -q - 8 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:47 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2758, 2744, 2732, 2716, 2690, 2648?\n\"Answer: -u**3 + 7*u**2 - 28*u + 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82325338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -16, 311, -63?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 905328?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9308742 months?\nAnswer: 0.007757285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12710 or 12713?\nAnswer: 12713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Suppose -3*z - v*z = -2*x + 19, 4*z + 12 = 0. Suppose 0 = -5*i - 20, x*i - 2 - 2 = -2*r. Solve -r = -w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/3)\/c**(2\/5))**(4\/11)*(((c\/(c\/(c**1\/c)*c*c))\/c)**(-4\/13))**(-35) assuming c is positive.\nAnswer: c**(-71432\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w + 6. Let s be l(5). Let n = s - 1. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59846571 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154203?\nAnswer: 3, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 411012241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 8*c + 132 = 0. Find the third derivative of c + 32 + 5*y**2 + 67*y**5 - 3*y**2 wrt y.\nAnswer: 4020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h - 6*h**4 + 1\/5*h**5 + 38\/3*h**3 + 0*h**2 - 17. What is the third derivative of n(k) wrt k?\nAnswer: 24*k - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15678 = 18*g - 12*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39808332067.95218306 + 40147401501.952183. Let i = g - 339069392. Let y = 42 - i. What is y rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 194, 375, 556, 737?\n\"Answer: 181*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 + 8*y - 8. Let d be t(-5). Suppose 4*g - 24 + 8 = 0. Differentiate g - d + 2*o + 1 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 1369632420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*t - 59, -51068759 = 17*y + 4*t - 51068647 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 - -20. Calculate the remainder when k is divided by 52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10139275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1632, 6560, 14774, 26274, 41060, 59132, 80490?\n\"Answer: 1643*o**2 - o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.246 - 0.006. Let r = i + -1.93. Let z = r - -0.19. Which is the fourth biggest value? (a) 0 (b) -0.08 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -937, 0, -12.\nAnswer: -937, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 2 - (19 - -1). Let l = z + 46. Let i = -24 + l. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1100) - -1*sqrt(1100)) + -5 - sqrt(1100))*-2)**2 - (1 + sqrt(1100) + -2 + 1 + sqrt(1100)*2)**2.\nAnswer: -1600*sqrt(11) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1422 and 0.0923.\nAnswer: 131.2506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.2 - 30.5. What is the nearest to -2 in 2\/7, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 5*d**2 - 4*d - 4. Let j be w(-4). Suppose -584*x = -585*x + 42. Let g be x\/63 - 8\/(-6). Do j and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(76)*1*1.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least 137458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 872*q - 497*q + 6375 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46)\/32 - 2*(-3)\/12 and 395\/(-140) - (2\/2 + 0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -1. Let r be 2\/4 + 22\/p. Let a be r\/3 + 1\/1. What is the third smallest value in -2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 31*f**2 - 29*f + 32. Let h be q(-30). Is (2\/(10\/(-5)))\/(h\/(-8530)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 89, 2, 661\/3, 5 in decreasing order.\nAnswer: 661\/3, 89, 5, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 3*m - 3*m + 3 - 31.\nAnswer: -3*m**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 + -151. Calculate the greatest common factor of 297 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71530095 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16473977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 860874 + 27?\nAnswer: 861012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.308 - 1.692. Which is the nearest to 1\/4? (a) y (b) 6.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860 a factor of 2759983320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504483 by -504483.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/48*(-1 + 1 - -6) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 388172*n + 3493872.\nAnswer: -4*(n - 97052)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406*7.46.\nAnswer: 3028.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 10*g + 9. Determine f(-5).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 66. Let x(h) = 2*h**3 + 6*h**2 - 3*h - 7. Let k be x(n). Solve -12 = k*z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v + 15 - 6*v - 5*v. Let i be f(-7). Let g = i + -6. Solve -3*w = -2*b - b + 3, g*w = -b - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 73.924 decades?\nAnswer: 0.73924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 8 = 0. What is the common denominator of (f - 41)*1\/8 and -29\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:53 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/114 and -61\/708.\nAnswer: 13452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5407*d - 132 = -5419*d. Solve 48*f = 50*f + 6, 2*p + d = -3*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 59*w - 112. Calculate p(23).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36533 is divided by 320.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 11*h + 1226 - 1107, 47 = 4*i - 3*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2112, 8036, 17774, 31326, 48692, 69872?\nAnswer: 94866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - -0.18. What is the fourth biggest value in 1\/6, y, -8\/3, -0.2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 26629*q - 133138. What is m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b - 41. Determine o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6769*h + 2*k + 36 = 6771*h, -4*h - 5*k + 3*k - 60 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 + 100*h**2 - 352*h + 336 = 0. Calculate h.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24057914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + -14. Let g = 25 + c. Let k(l) be the third derivative of -l**6\/120 - l**5\/12 - l**3 - l**2. Determine k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 15*i**2\/2 - 6*i + 34. Let y(n) = 7*n - 3. Determine -6*m(g) + 13*y(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3013*z**5 - 191*z - 5 wrt z?\nAnswer: -60260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1259 - -1261. Solve -12 = -r*m - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/12 - u**3\/6 + u**2\/2 - 413*u + 8. Let j(p) = -2 - 5*p**2 - 5 + 4. Determine j(f) + 3*v(f).\nAnswer: -2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:02 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*v**3 + 42*v**3 - 4*v**3 - 2*v**3 + 0*v**3 + 5*v**3 + (3*v - 2*v - 3*v)*(4*v**2 - 2*v**2 - 4*v**2).\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-4)*c*c*c)))\/(c**8*c*c)*c**4\/((c*c**(-2\/83))\/c*c))**(-1\/4) assuming c is positive.\nAnswer: c**(579\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037 and 3978.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27109997770 rounded to the nearest 1000000?\nAnswer: 27110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 26 = 0. Let w(f) = p*f**2 - 3*f**2 - 1 - 11*f**2. Determine w(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:54 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 15 = a - 39*f, -2*f = -4*a - 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/4 (b) -9\/32 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9047 times -10?\nAnswer: -59.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 81 - 3 - (-1 + 1). Let d = h - -41. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7012*p**2 - 14547*p**2 - 2*p + 7173*p**2 + 2*p.\nAnswer: -362*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -j + 63, 5*g + 99 = 2*j - 60. Suppose -m = -5*m + j. What is the remainder when 33 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 36588.47 tonnes?\nAnswer: 36588470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 7*i + 2. Let l be f(-7). Suppose -l*n + 2 = -4. Suppose 0 = 2*u - 6, -q + u + 0*u = n. Solve -k + 2*s - 6 + 2 = 0, q = 2*k - 3*s + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1728028 + 1728002.899588. Let j = 25.1 + h. Round j to five dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8400 by -560.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 divided by 57?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195618 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**3 - 652*y**2 - 656*y = 0?\nAnswer: -1, 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**3 - 2*k**2 - k. Let t be z(-1). Let g be t*2\/4 + 19. Let b = 33 + g. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 - -0.01. Let b = -0.27 - d. Let j = -1.5 + 2.5. Put j, -1, b in increasing order.\nAnswer: -1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfvb when four letters picked without replacement from {v: 2, b: 1, f: 1, s: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15360 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 4*v**2 + 8*v + 6. Suppose -5*q - 4*k = -31, 3*k - 1 = 3*q + 2. Let l = q + -8. What is d(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*x - 4*y - 40, -4*y - 3 = -x. Let g = -1 + -2. Suppose 4*w + 0*w = 0. Sort g, x, w in decreasing order.\nAnswer: w, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289.2 times 14\nAnswer: 4048.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 7. Let c be d(7). Let v(i) = 10*i**2 - 22*i + 7. Let m be v(c). Suppose m = 8*x + 347. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 + 9*y**2. Let k(o) = 2 - 1 - o + 0*o - 3. Let i be k(-4). Give p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(1 + 6 - 5) + (-3*h + 6*h - 5*h)*(-4 - 2 + 4) + 23*h + 0*h + 5*h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -155, -2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exx when three letters picked without replacement from xeeexxxeee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/180 - 155*c**4\/36 + 24025*c**3\/18 + 177*c**2. Factor b(f).\nAnswer: (f - 155)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-468)\/(-1040)*(-35)\/252).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*d - 158 - 185, -2*a - 3*d = -621. Let b = a + -183. What is the greatest common divisor of b and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 - 1132920*w + 4531616 = 0.\nAnswer: 4, 283226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*a - 82 + 82)*(0 + 4 - 5).\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*f + 26, 3*f + 6 = -d + 5*f. Let s(j) = j**3 - 7*j**2 + 2. Let w be s(7). Let i(q) = 2*q**w - 5*q**d + 2*q**2. Let u(l) = 3*l. What is i(u(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 926*v + 111. Let y(i) = 1858*i + 218. Let q(f) = -5*w(f) + 3*y(f). Differentiate q(z) wrt z.\nAnswer: 944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2 + (-44)\/(-16). Let a = -224 - -449\/2. Put -0.5, s, 7, a in decreasing order.\nAnswer: 7, a, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-38)*k**(-8)\/(k\/((k**(-4)*k)\/k)))**(7\/4) assuming k is positive.\nAnswer: k**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 63, 158, 311, 534?\n\"Answer: 2*z**3 + 11*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 16. Suppose -28 = b*p + 4*r, -r - 3*r - 20 = 4*p. Is p > -25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 4*(-174)\/72.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*i = -20240, 5*w + 4*i - 19808 - 30769 = 0. Suppose -6*a + w = 295. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 15*z**6\/8 + 33*z**5\/20 + 33*z**3\/2 + 432*z**2. Let f(j) = 9*j**3 + 4*j**2 + 4. Determine -99*f(o) + 4*r(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 23, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7760231483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18753, -18869, -18985, -19101, -19217, -19333?\nAnswer: -19449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203580497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -72.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03316 and -6408?\nAnswer: 6408.03316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47689 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**2. Suppose -2*c - 4 = 0, -10*q + 3*c = -5*q - 21. Let m(j) = 10 - 5*j**2 + q*j**2 - 10. What is m(d(a))?\nAnswer: -200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 6*b - 2. Let c be -5*(-2 + 3)\/1. Let v be s(c). Suppose -2*y + 44 = 3*u - 6*y, 3*u + v*y - 30 = 0. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*f, -53*d - 4*f - 7 = -52*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 4*v - 3*v = x. Solve -v = i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 788, 1549, 2310?\n\"Answer: 761*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5280.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:12 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1))**(-2\/3)*((h*h**(1\/2))\/h)**9)**(-27) assuming h is positive.\nAnswer: h**(-243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -230*k - 1467. Let j be v(-7). What is the greatest common divisor of 1859 and j?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clq when three letters picked without replacement from cqqqqqcqccccwqlqc?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145200 and 19938864.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1314, -2615, -3956, -5349, -6806?\nAnswer: -8339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22099 is divided by 325.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 67*o - 411. What is the second smallest value in 5, 1\/7, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1506, -2987, -4452, -5895, -7310?\nAnswer: -8691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170) - sqrt(170)*-1) + -6*(sqrt(170) + sqrt(170)*-2))\/(-3*(sqrt(250) - (sqrt(250)*1 - sqrt(250)))).\nAnswer: -8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 5*i**2 + i + 25. Is 17 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 28473.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 4:27 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 299*w + 70*w - 158*w - 40 - 553*w.\nAnswer: -940*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4611 + 3276. Suppose -3*h + 5758 + 1700 = 0. Let y = q + h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372233989?\nAnswer: 3, 790744663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-39 + 13 + -113 - -37).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42200150 + -10?\nAnswer: -42200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3 + 8*o**2 - 20*o = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 10) to base 14.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjv when three letters picked without replacement from {j: 5, b: 1, h: 10, v: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-14) + 1152\/28. Let l(y) = y**3 + 7*y**2 - 5*y. Let h be l(-6). Let q = h - m. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -730961*t. Let n(s) = -61*s. Calculate n(g(x)).\nAnswer: 44588621*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 + 10 = 0. Suppose -p*o + 19 = 4*k, -5*k + 0*o - 2*o = -28. Suppose n - 1 = k. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-28) - (-24)\/14. Let m = -3 + q. Let u(c) = 2*c**3 - 3. Let o(y) = y**3 - y**2 - y + 1. Let w(a) = 2*o(a) + u(a). Calculate w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14*((-5)\/(-2) - 2). Let j = -7 + 14. Calculate the greatest common divisor of r and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(252) - (sqrt(448) + 1))*1*5))**2.\nAnswer: 640*sqrt(7) + 3056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*s + 10 = 65*s. Let a(c) = 9 - s*c + 9*c - c. Calculate a(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 10:19 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84.2326 and 0.5.\nAnswer: -42.1163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 30 = -d. Let o be 82079955\/18 - (-25)\/d. What is o rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*i - 13, 10*d + 30 = -6*i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14456 = -639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dood when four letters picked without replacement from oodoooodddoooood?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -93. Calculate the highest common divisor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 406282, 812723, 1219152, 1625563, 2031950, 2438307, 2844628, 3250907?\n\"Answer: -d**3 + 406448*d - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose -4*f + 66 = h*y - 198, 12 = 4*f. Let u(i) = i**3 - 24*i**2 + 129*i + 4. Let j be u(8). What is the highest common divisor of y and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwwwwwhwwwwwwwwww. Give prob of picking 1 w and 3 h.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4545 times 3\nAnswer: -13635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 3, w: 7, f: 1}. What is prob of sequence ykw?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1966284370 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12887 or -12886?\nAnswer: -12886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75716, -151419, -227110, -302783, -378432, -454051?\n\"Answer: s**3 - 75710*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4369376 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 3 (c) 2\/3 (d) -6175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) -0.3 (c) -3 (d) 1 (e) -8939 (f) -1\/2 (g) 0.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -220*x + 148782248 - 26271948. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9284?\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + c + c**3 + c**3 + 0*c**3 + (-12 + 5*c**2 + 13 + 11*c**2)*(7*c + 8*c - 7*c) as w*c**3 + m + h*c**2 + q*c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j. Suppose j*f + 4 = 2*f. Let q be 22\/(-49 - 17480\/(-322) - (-9)\/42). Solve f*n + 7 = q*x - n, 5 = 2*x - 3*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/19)\/((-3)\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 191, 187, 187, 191, 199, 211, 227?\n\"Answer: 2*o**2 - 10*o + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 0.4. Let f = -455 + 453.06. Let p = f - -2.04. What is the second smallest value in 0.01, 3, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -583a (base 14) to base 4.\nAnswer: -3233230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Suppose -5*l + 2*l - 4*f = 7, 26 = 2*l - 5*f. Let a = -23\/33 + 4\/11. What is the third biggest value in a, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2802681 and 3633?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*f**(-2\/47))\/(f*f**17)**45 assuming f is positive.\nAnswer: f**(-38448\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/25 bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22*(-5)\/(-10) - 6. Solve a*u - 6 = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(0 + -1 + sqrt(17) + 0))**2 + (3*-1*(-1 + sqrt(17)))**2 + -1).\nAnswer: -3055 + 340*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 4. Let b be f(1). Let h be ((-8)\/(-6))\/((-2)\/(-9)). Solve h*t = t - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 8:51 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3679869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*1\/20*-146 and -4 + 27\/18 + (-48)\/(-22).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -3\/4, -3, 13, -79 in descending order.\nAnswer: 13, 1\/5, -3\/4, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9800 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 t, and 1 y when four letters picked without replacement from ytietett?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(833)) - (-2 + (sqrt(833)*2 - sqrt(833))))**2 - ((sqrt(17) + 2 + sqrt(17) + 2)**2 + (5*sqrt(34)\/sqrt(2))**2).\nAnswer: -16*sqrt(17) + 6988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -1981*y**4\/2 - 14*y**3\/3 + 28*y**2 + 2598. What is the third derivative of f(j) wrt j?\nAnswer: -23772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250 - 250 - 3*m**3 + 6*m**3 + 130*m to i*m**2 + l*m + t*m**3 + s and give l.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13531 = 5*x, -2705 = -40*x + 39*x - 2*v. Suppose 1129 = 5*n + 4*h - x, n - 770 = 2*h. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.869914mm to nanometers.\nAnswer: 9869914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 1. Let s = 1.21 - 17.81. Let w = s - -16. Put -0.1, w, g in increasing order.\nAnswer: w, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -191*u**7\/70 + 13*u**4\/8 + 825*u**2. Find the second derivative of t(o) wrt o.\nAnswer: -6876*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -25.93. Sort 0, 4, o in descending order.\nAnswer: 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**2 - 28*a - 19. Calculate v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*c**4 + 0 - 4\/7*c**3 + 16\/7*c**2 + 64\/7*c.\nAnswer: -c*(c - 4)*(c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8) + 2\/4. Solve -3*g + 9 = -k*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -1. Calculate the common denominator of (-75)\/(-2) - 3\/o and 39\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -18*s**3 + 51*s**2 - 20*s + 5. Let i(h) = -17*h**3 + 53*h**2 - 16*h + 4. What is 4*b(m) - 5*i(m)?\nAnswer: 13*m**3 - 61*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(-5\/17)\/(k*k**7*k*k**(-4\/3)) assuming k is positive.\nAnswer: k**(-1163\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t + 4 - 4)*(-7 + 1 + 4) - 3*t + 0*t + t + (2 - 1 + 0)*(-t + 0 + 0))*(-2 - 5 + 3).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/2*(-59448)\/(-17339)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1872 divided by -2\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/(19\/5). Let w = b + 27\/76. Determine o, given that -w*o**4 - 1\/4*o**3 + 3\/4*o**2 + 1\/4*o - 1\/2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5386000 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7330 + a - 3*a - 7326.\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*((2 - 13 + 15)*(1 - 1 - q) + 2*q + 2 - 2)*(-3*q + 3*q**3 + 103*q**2 - 103*q**2).\nAnswer: -12*q**4 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33c - 2?\nAnswer: -33e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -515, -7, 46, 4 in descending order.\nAnswer: 46, 4, -4, -7, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952140259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/858)\/(1\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 255*q**2 + 258*q.\nAnswer: -3*q*(q - 86)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let s(j) = -2*j**3 - 9*j**2 + 2*j + 7. Let k(p) = 5*p**3 + 26*p**2 - 7*p - 20. Let v = -3 + 11. Let n(q) = v*s(q) + 3*k(q). What is n(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -1381, -2072, -2763, -3454?\nAnswer: -4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + 1 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4\/2 - 76*r**3\/3 + 473*r**2 - 3872*r - 5155. Factor b(h).\nAnswer: 2*(h - 16)*(h - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 9\/19, 1.\nAnswer: -56, 9\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.47 and 2177500.\nAnswer: 1023425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**4 - 107*y**3 - 198*y**2 - 5*y - 5. Let c(k) = -10*k**4 - 266*k**3 - 492*k**2 - 12*k - 12. Let p(r) = 5*c(r) - 12*z(r). Factor p(u).\nAnswer: -2*u**2*(u + 2)*(u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*l**5 + 149*l**4 + 6*l**2 - 415121*l wrt l?\nAnswer: -1740*l**3 + 1788*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 462 - 462 + 126*t**3 + (-t**2 + 0*t + 0*t)*(-2*t - t + t) - 6*t**3 + 24*t**3 + 18*t**3.\nAnswer: 164*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -3)\/(9\/(-6)). Let r = -8981 + 8984. Solve h - 2*l + r - y = 0, 3*l = 2*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1343 and 1106?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + 0.44. Let b = -0.4 + z. What is the nearest to 0.1 in b, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 + d - 1. What are the prime factors of k(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203822580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*(q**(-17)\/q)\/q))\/q)\/(q\/q**18))\/(q**7*q*q**1*q*q) assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4438 and 5489489?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -24*s**3 + 167*s**2 + 16*s - 61. Let q be f(7). Factor -3\/5 + 7\/10*u - 1\/10*u**q.\nAnswer: -(u - 6)*(u - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 823 (c) 1\/4 (d) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**17\/f**(-3))**7)**(-4\/3) assuming f is positive.\nAnswer: f**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*y = 19*y - 115 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let f(r) = r**2 + 4. Let a = 6 + -2. Let o(c) = -2*c**2 - 5. Let u(k) = a*o(k) + 5*f(k). Give p(u(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*a + 2. Let k(q) = 3*q + 6. Let n be k(-4). Let d be (-334)\/n + 2\/6. What is the greatest common factor of d and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1944 and 277023.\nAnswer: 179510904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3735 (base 15) to base 10.\nAnswer: 11750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/4*x**3 + 1\/8*x**5 - 27\/8*x - 3\/2*x**4 - 9*x**2 + 27\/2.\nAnswer: (x - 4)*(x - 3)**3*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 5*u - 2*f, 0 = -2*u + 2*f + 6. Let m = -1.31 - -1. Let g = m - -0.51. Which is the nearest to -0.1? (a) u (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16479532, 32959046, 49438550, 65918038, 82397504, 98876942?\n\"Answer: -s**3 + s**2 + 16479518*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125551 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 6*x - 4. Let k(y) = -y - 1. Let g(c) = 4*k(c) - s(c). What is the second derivative of g(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vooooooooovooovooo. Give prob of picking 4 o.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-9 - (-9 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 12*p**2 + 2*p**2 + (0*p + 0*p - 2*p)*(3*p + p - 5*p) + 5*p**2 + 3*p**2 - 2*p**2.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -225. Suppose 2 = -2*g + 6, z = 3*v - 3*g. Suppose -o - 4*o + 5*c = -v, 2*o = -c + 9. Solve -4*a - h = -o, -4*h = -2*a - a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77142753 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Solve -2*f - 2*u + 4 = 0, -2*u - 3*u - 15 = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/2056 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 7 + 9. Solve -2 = o*w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37746885 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -788 + 443. Let l = 350 + t. Solve -2*h - 1 = 4*p + l, -3*h - 3*p = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4) - (-11)\/22*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**2 + w + 45. Let q(h) = -35*h**2 + 3*h + 129. Give 11*f(i) - 4*q(i).\nAnswer: 8*i**2 - i - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 2, z: 4, c: 11}. Give prob of sequence zi.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-12)\/240*28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27*n**3 + 209*n**2 - 21*n + 240. Let k(u) = -5*u**3 + 41*u**2 - 4*u + 48. Let g(v) = 11*k(v) - 2*z(v). Give g(33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27578?\nAnswer: 2, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 49.07428 nanoseconds?\nAnswer: 0.04907428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose 0*y + q = y. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28123, -56242, -84359, -112474?\n\"Answer: u**2 - 28122*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/21)\/(72\/21). Let p = 169\/36 + w. Calculate the common denominator of 115\/14 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -35, -82, -147, -230?\n\"Answer: -9*s**2 - 2*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:28 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 + -11 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4 = 10*b. Let v be -3 - b - 2 - -3. Solve h + 5 = -v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -24692?\nAnswer: 24689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -364, -365, -366, -367, -368?\n\"Answer: -r - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 727 + 727.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 112, 139, 166, 193, 220?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 341 + 0?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 7. Let x be d(9). Let i(g) = -4*g - 22. Let f be i(-6). Solve -3*k + 23 = x*k + f*v, -27 = -5*k - 3*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 19. Suppose -1 = -2*s - 3. Let i be (23 + -10)*(-1)\/s. Let u be j(i). Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 58 + 68 = k, 2*z = 3*k - 463. Let m = 189 - k. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18711.21773 rounded to the nearest one hundred?\nAnswer: -18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12702 and 165329.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -4. Let m(o) = -o**3 + 8*o**2 - 56*o + 610. Let s be m(9). Solve -t - 5*f = -0 - g, 4*f - s = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -11 - -11 - 39469\/1363.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/9 + (-4)\/(-6). Let p be 7\/14 + h\/(-4). Let b = p + 3. Let o(t) = -8*t**2 - 6. Let a(v) = 17*v**2 + 13. Determine b*a(j) + 13*o(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -20?\nAnswer: -21\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 561 - 549. Suppose -r*m + 10*m = -4, -3*m + 2 = -a. Suppose 4*l - 50 + 2 = 0. What is the smallest common multiple of a and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*q + 6 = 5*q, -q - 4 = 3*p. Suppose -1 = -j + 3*b, 4*j + 2 + 3 = 3*b. Is j greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -746\/153 - -264328\/1683. Let x = n - 152. Let j = -2 + 3. Is j > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 876 = -a - 107*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1b0e2 (base 15) to base 9\nAnswer: -143585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/523834 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1665 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let o(m) be the first derivative of -5*m**2\/2 - 20. What is o(s(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 1 = -4*c, -k + 4306 = -3*c + 4315 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/(-110) - 94\/(-11). Solve 3*i - 4 = p, -5*l = 2*i + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 168*t - 187*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 + -1 - -35) + (6 - -27).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 872 (b) 0 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 12?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s. Let q = 6 - 6. Suppose q = -5*w + w + 28. Solve -3*b - w + 22 = s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11) + (sqrt(99) - sqrt(11)) + -5 + -5*(sqrt(11) + -1 + sqrt(11) - sqrt(11)) - sqrt(308)\/(sqrt(7)*4)))**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 3*x**2 - x + 13. Is q(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. Suppose 6 - 36 = -5*k + 3*b, -4*k - 2*b + 46 = o. Suppose 5*n = 44 - k. What is the highest common factor of 49 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437219599 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*u = 26, r + 25 = -2*r + 4*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*10\/(-210))\/((20\/6)\/1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*q + q + 24, 5*m = 2*q - 4. Let s = q + 9. What is the remainder when 45 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 99*u**2. Let w(v) = -3892*v. Give t(w(g)).\nAnswer: 1499618736*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/25 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -557 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 + 4. Suppose -5*j - 5*v + 880 = 0, -2*v + 0 = 4. Let g(c) = -178*c - 5 - 7*c**2 + j*c. Determine 4*g(f) + 5*h(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + q - 82 = 0, -x = -3*q - 123 + 89. Solve -4*v = -5*w - 15, -5*v - 7*w = -4*w - x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -49. Let y = 10 - 11. Sort y, 2, x, -4 in increasing order.\nAnswer: x, -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 61 = -58. Let s(i) = 31*i + 5. Calculate the remainder when s(5) is divided by ((-13)\/(-26))\/(q\/(-54)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5292966?\nAnswer: -5292964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1296.2106 months?\nAnswer: 1.0801755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7966, 63818, 215400, 510574, 997202?\n\"Answer: 7977*b**3 + 3*b**2 + 4*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -41*y**7\/21 - y**5\/2 + 71*y**3\/2 + 3*y**2\/2 - 1230*y. What is the second derivative of t(i) wrt i?\nAnswer: -1640*i**3 - 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.340713 litres?\nAnswer: 340.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723514?\nAnswer: 2, 11, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (10 - (-8 - -13) - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - b - 4. Let f = -255 + 253. Let a(c) = -12*c**2 + 3*c + 18. Let g(u) = f*a(u) - 9*s(u). Factor g(i).\nAnswer: -3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 9*z - 42. Let j be (2 - 3)*(z - -3). Let d be (-1)\/3 + (-2)\/(-6). Solve -5*c = d, 7 = 2*s + c - j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/5, -8, -3, -1, 397\/2 in increasing order.\nAnswer: -8, -3, -1, 1\/5, 3, 397\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/(-21) - 2) + 24\/36. Sort -2\/23, z, 0.4 in ascending order.\nAnswer: z, -2\/23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10000101010001101?\nAnswer: 10000101010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 25 = 4*t. Put t, -3, 0 in decreasing order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418579720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 37*a**2 + 227*a + 32. Let i be y(-6). Let j be -1 - 43*5\/(-213). Is j less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l + 5 - 24*l + 45*l. Determine v(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/10989 and -32\/15873.\nAnswer: 142857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.07 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/78 and -77\/1185918.\nAnswer: 15416934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z + 20 = 0. Suppose 0 = -0*s - z*s + 88. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 3*v**2 - v. Let c be h(-3). Suppose -t - 66 = -c*t. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003405 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:31 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:45 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 17*d = -175 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*t)*((-t + 2*t - 2*t)*(6 - 4 - 3) + (-4*t + 2*t + 5*t)*(-3 + 3 + 2)) in the form d*t**2 + i*t + u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296*r**3 + 35*r**2 + 3?\nAnswer: -1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8082 or -8005?\nAnswer: -8005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = 6*r - r, q + 3 = 5*r. Factor r*m**2 - 5\/2*m + 0 + 5\/2*m**3.\nAnswer: 5*m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:10 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 8*n**2 - 13*n + 39. Determine d(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37169\/12 or 3098?\nAnswer: 3098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4333 + 4336. Solve -4*r = 3*o - 7 + 8, n*o - 27 = 3*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 258652?\nAnswer: -69\/258652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2483172 to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/3 - 8*x**2 + 4*x\/3 + 32 = 0 for x.\nAnswer: -24, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + 1)\/2*-1. Suppose 0 = 71*y - 68*y - 3. Suppose 0 = 2*f + 5 - 15. Put b, f, y in descending order.\nAnswer: f, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118927*c**6 + 32*c**5 + 55*c**2 - 1058*c + 10 wrt c?\nAnswer: -14271240*c**3 + 1920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {o: 5, b: 7, p: 8}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133)\/(-28) + 2\/8. Suppose 6 = m*v - 9. What is the units digit of 351\/5 + v\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 43 - 155. Let y be 4*((-9)\/d)\/9. Put 5, -3\/5, y in ascending order.\nAnswer: -3\/5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0069? (a) 2 (b) 4 (c) 1\/2 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32527721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, x: 6, q: 3}. Give prob of picking 2 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/9482 and 7\/60.\nAnswer: 284460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. What is the first derivative of r*d**2 - 2 - 2 + 3*d**2 wrt d?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68434890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 38*d**2 - 207*d + 1134. Let r be o(6). What is the highest common divisor of 140 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:24 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*y + 42 = 0, y + 1 = -d + 7. Solve -d*w = 3*w + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**3 - 16*g + 5. Let i(t) = 2*t**3 + 3*t - 1. What is 11*i(n) + 2*y(n)?\nAnswer: 4*n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + o. Let w(n) = -7*n - 4. Let s(t) = -t**2 + 8*t + 5. Let v(c) = 4*s(c) + 5*w(c). Give v(i) + 3*x(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477.82m in micrometers?\nAnswer: 1477820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x + 22. Let z be 4\/(-8)*(-2436)\/(-105). Is z bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56100 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203148257?\nAnswer: 2203148257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 435, -2, 4, -54, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -42*w - 31. Let n(u) = -125*u - 93. Suppose -b + y - 6 = 0, 38 = b - 6*b - 3*y. Let c(h) = b*o(h) + 2*n(h). Differentiate c(a) wrt a.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.375793623 rounded to 5 dps?\nAnswer: -0.37579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 29. Let f be (3\/(-1) + 3 + 0)*p. Suppose -2 = -4*r - w + 3*w, 1 = -3*r + w. Sort r, f, 4 in increasing order.\nAnswer: r, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 378 - 555. Let f be -17*15 - (26 + -5)\/(-3). Let n = m - f. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2*d**3\/3 + 2. Let a = 2 + 1. Let x(c) = -a*c - 45 + 45. Calculate x(v(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5182135 divided by 3.\nAnswer: -5182135\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 461, 685?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:38 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-10)*(-17)\/119. Let v(s) be the first derivative of x*s**4 + 0*s**2 - 2\/15*s**3 + 0*s - 3. Factor v(o).\nAnswer: 2*o**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 4. Let t(u) = -2*u**2 - 1. Let l be t(-1). What is g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 - 278*y**2 + 167*y + 1081. What is s(-70)?\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:22 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845 divided by 5?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6545558 divided by 2?\nAnswer: -3272779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1446854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - 8. Let h(s) = 3*s**2 - 9*s**g + 4*s**2. Let o(j) = -j**2 + 2. Let q(z) = -2*z**2 + 3. Let p(v) = 6*o(v) - 4*q(v). Give p(h(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85.26*-0.146.\nAnswer: -12.44796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/28 - -3)\/((-1)\/14). Let h be (63\/6)\/(-7) - 45\/c. Sort 2\/7, 0.4, h.\nAnswer: 2\/7, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6428.8 - -6428. Which is bigger: h or -402?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 3*x**2 + 0*x + 0*x - 37 to the form q*x**2 + v*x + p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/12 - 3*h**3\/2 + 9*h**2\/2 + 24*h. Calculate b(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(475) - (-1 + sqrt(475)))*-1 - (sqrt(475)*1 + 5 + 1 + sqrt(475) + 0 + sqrt(475)))**2.\nAnswer: 180*sqrt(19) + 4311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -452.87, 4, -593, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 378, 361, 334, 297, 250, 193?\n\"Answer: -5*n**2 - 2*n + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + (1*sqrt(65) - sqrt(65)))\/sqrt(5) - ((0 + sqrt(13))*-6)**2.\nAnswer: -468 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.386*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 5*k - 4. Let z be g(3). Suppose 2*n + 0*x = x + 15, -2*x = z*n. Let t(d) = -d + 1. Let h(u) = -5. Let s(m) = h(m) + t(m). Give s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53\/3 + 115\/6. Let h(p) be the second derivative of 0*p**2 + 0 - 3\/10*p**6 + 8*p + 0*p**4 + 0*p**5 - k*p**3. Find the second derivative of h(i) wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00409491818 rounded to four decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 10*g**2 + 6*g - 24. Let a(c) = c**3 + 5*c**2 + 3*c - 12. Let m(d) = 13*a(d) - 6*i(d). Calculate m(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.977 - -0.023. What is the nearest to 0 in -0.1, 3, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95*q*x**2 - 339*q + 18*x**4 + 3 wrt x?\nAnswer: -190*q*x + 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134268618 by 67134309.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 3854*q**2 + 2475030*q + 529710858.\nAnswer: 2*(q + 633)**2*(q + 661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -346.623530453.\nAnswer: -346.623530453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -75. Calculate the greatest common divisor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 603.198 + -0.198. Let p = -562.1 + q. Let u = p + -41. Sort 0.3, -9, u in increasing order.\nAnswer: -9, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 325326.86 from -0.005132.\nAnswer: -325326.865132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162725 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(272) + sqrt(17) + sqrt(85)\/sqrt(5) + 2 + sqrt(272) + 0 + 0 + (sqrt(17) + -3 - sqrt(17)))**2.\nAnswer: 36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22a763 (base 16) to base 3.\nAnswer: 11021101022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {r: 2, x: 1, c: 10, d: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1153183, -1153205, -1153281, -1153441, -1153715, -1154133?\nAnswer: -1154725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let y(o) be the second derivative of o**6\/720 - o**4\/6 - o. Let c(d) be the third derivative of y(d). Calculate q(c(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 5*g**2 + 12*g - 10. Let b be u(-7). Let z be 0 - (2\/b)\/(1\/(-26)). Suppose 24 = z*m - 9*m. Solve -f - m = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2 - 2*q + 8. Let p(d) = -d**3 + 16*d**2 - 13*d - 36. Let s be p(15). What is f(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*p**5 - 2*p**2 + 11*p - 2.\nAnswer: 180*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/120687 and -67\/1470.\nAnswer: 1206870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 10 (b) -3 (c) 1\/209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-6 + -2 + 1). Let q = 151.5 - 151.4. What is the closest to q in -0.06, 0.4, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -36 - (-10 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/308*6\/120*(-7)\/(-7).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351498513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35045*i**2 - 19236*i**2 + 7022*i**2 - 3913*i**2.\nAnswer: -51172*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11820986 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 2 = -118 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6)*136\/255.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44.8*-26\nAnswer: 1164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 137\/4095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160890 and 1900578.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let q be z(6). Let g(m) = q - 1 + 3*m**2 - 4*m - m**3 + m**2. Suppose -6 = -2*u - 0. Determine g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 50. Suppose -3*h + 4 = -i*g, 2*g - 3 + 1 = 0. Suppose 9 = j - 1. Solve -j = h*t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 take away -0.2?\nAnswer: 1067.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90.23632 + 0.01632. Let o = g + 90. What is o rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -3*b. Let u = b - -3. What is the lowest common multiple of 5 and (6\/(-4) - u)*-12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:34 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2155*g - 318*g**3 - 2155*g + 315*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/5 + 146*w**3\/15 + 62*w**2\/5 + 46*w\/15 = 0.\nAnswer: -23, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-4 - (1 - 4)). Let i be 0*4\/(-20)*s. Suppose i = 5*p - p - 100. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5667.9 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -204982 minus -20?\nAnswer: -204962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*7\/(-238))\/(1 + (-7)\/14).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*a - 57. Let w = a + -3. Let u = -6 + w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 15823428*q - 31646872.\nAnswer: 4*(q - 2)*(q + 3955859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010332 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -640 or -3196\/5?\nAnswer: -3196\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 381.8431l?\nAnswer: 381843.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, 0.09, 0 in decreasing order.\nAnswer: 3, 0.09, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 u, and 1 q when four letters picked without replacement from {p: 1, d: 1, u: 2, i: 1, q: 1, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*r - 69, 215895*v + 4*r + 92 = 215895*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.5 - 5.2. Let p = -11 + 15. Suppose 5*f + 2*h + 9 + p = 0, -4 = h. What is the nearest to f in -3\/5, 1\/2, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 446\/5? (a) -1.2 (b) 0.04 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 10072.\nAnswer: -1\/2518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11366*d - 7695*d - 6960*d - 9032*d.\nAnswer: -35053*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - 5*v + 14*v + 10*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*c - 396 = 0, -4*c - 373 = 3*g - 129. Let p = 31 - g. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 717 + -502. Let j = h - 92. Let q(g) = 19*g**3 - g**2 - g + 1. What is the remainder when j is divided by q(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 6*y + 516. Let x = y - 4384\/17. Which is the nearest to x? (a) 1 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3886 divided by 2.\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 + 3*a**2 - 7*a + 8. What is the tens digit of o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.926071 millennia in years?\nAnswer: 1926.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 34. Suppose -5*z = -r*z - 39. What is the greatest common factor of z and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 46, 55, 82, 133, 214?\n\"Answer: v**3 - 10*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4362 - 4353. What is the smallest common multiple of 3853 and m?\nAnswer: 34677","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from iiooioi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -58. Suppose 3*c = -5*n + t, -2*n - 7 = 3. Calculate the remainder when 39 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 328359*k**4 - 623292*k?\nAnswer: 3940308*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-20)\/(-6). Suppose -c*g + 2 = 62. Is ((-8)\/g)\/((-4)\/(-114)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from issiohouhiossuosossu. What is prob of picking 1 i and 3 o?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 250, 1990, 6792, 16210, 31798, 55110, 87700, 131122?\n\"Answer: 259*a**3 - 23*a**2 - 4*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 9\/4 (b) 135 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122ae0 (base 16) to base 8.\nAnswer: 4425340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9584 + 229979\/24. Let o be (3057 - 0)\/(6\/10). Let f = -101833\/20 + o. Find the common denominator of f and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*x = -4*h + 16, -2*x - 2 = -h. Let p(o) = o**3 - 6*o**2 - 5*o + 2. Let j be p(h). What is the hundreds digit of 10\/(-3 + (-155)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285989799 - -44\nAnswer: -285989755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4 + 11*g**2 + g**3 - 11*g - 15 - 2*g**2. Let y be r(-10). Let z = y + 6. Solve 0 = -z*n + 5 + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 + -54. Suppose 570*o - 124 = 601*o. Let j be (o\/1 - r\/(-20))*2. Solve 5*y = -4*a - 31, -3*a - 17 = 4*y + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c - 28*c + 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.52 in -6, 22, 1, -4, 72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 821278699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = -130*p - 544*p + 13060 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 542172 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, v: 3, n: 2, e: 3, f: 1}. What is prob of sequence ef?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -20a?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -785, -790, -799, -812, -829?\n\"Answer: -2*m**2 + m - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k - 6*k + 28*k)*(2 - 2 - k**2)*(-5 + 1 + 2 + (1 + 2 - 2)*(6 - 2 - 3) + 0 + 1 - 2 + 2 + 0 - 1 - 2 - 1 + 2) + 5*k**2 - 2 - 5*k**2 + 4*k**3.\nAnswer: 68*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 1136, 1704?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 23*d = 24*d - 819 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 12*j - 13. Let o be d(-10). Let u(w) = w**3 + 5*w**2 + 4*w + 4. Let t be u(-4). Solve -t*v = -6*v - z - o, 4*v + 13 = -z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 1, l: 1, o: 4}. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3696 and 24.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 188\/(-28) + -5 + 12\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 123. Let y(d) = d**3 - 18*d**2 - 16*d**2 + 3*d + 3 + 24*d**2. What is the lowest common multiple of u and y(10)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129885 is divided by 797.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/8 - 123*z**4\/2 - 2622*z**3 - 38337*z**2\/4 - 16173*z\/8 + 57159\/4 = 0.\nAnswer: -87, -73, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*(-202 + 227) - -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 11*s**3\/6 + 3*s**2 - 49*s. Let v be t(-2). Put -0.2, 3, 3\/5, v in descending order.\nAnswer: 3, 3\/5, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -3 + 1 + 0. Let q(c) = -1 - c**2 + 5*c - c + 0. Let u be q(x). Solve -u*a = 4 + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kao when three letters picked without replacement from {o: 5, q: 7, k: 5, a: 2}.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1877 + 1873 + (1 - -14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 66267*m - 1920919. Determine g(-29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 4, i: 3, x: 1, y: 1, k: 5, f: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134.71 + 134.704538. What is w rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 4. Calculate k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -62.3. Let g = i + 9. Which is the third biggest value? (a) g (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.17281 to zero decimal places.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:46 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(42*-1))\/((-2)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Let u(r) = -2*r + s - 5. Let q(o) = -31 - 25*o**2 + 37 + 28*o**2. Give u(q(i)).\nAnswer: -6*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 876047 divided by -38089\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 25 - j**3 - 7*j**4 + 3*j**3 - 43*j + 46*j**2 + 12*j + 7*j - 41*j.\nAnswer: -(j - 1)**3*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/36 and -97\/186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21232982805 from -1.\nAnswer: -21232982806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -8. Suppose 4*o = 3 + 9. Suppose 2*g + v = q, 0 = -5*q + o*g + 21 + 15. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-194872)\/(-40)*(-1)\/(-2). Let j = 2429 - y. What is the common denominator of 19\/6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6 - (-6 - 18\/12). Solve 18 = c*p + 36 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4\/3))\/v)\/v)\/(v**(-2\/17)*v) assuming v is positive.\nAnswer: v**(-28\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79103000 rounded to the nearest one hundred thousand?\nAnswer: 79100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3996 and 19332.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/44*1)\/((-1)\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 - 32*f**2 + 63*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/44 and 40\/781.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-100)\/15*(-36)\/(-5). Let k = l - -108. Suppose -3*u = -u - k. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*o**5 - o**3 - 8738*o**2 + 10633*o - 4193 wrt o.\nAnswer: 640*o**3 - 6*o - 17476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11424)\/64)\/51*4\/((-4)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 610345739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*f - 13. Suppose -f*t + 60 = -0*t. Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/5)\/(140\/875). What is the third biggest value in -2, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**4\/r*(r**(-3)*r*r)\/r**(3\/4))**(12\/11) assuming r is positive.\nAnswer: r**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = -6*u. Let c be u + 0 + 72\/3. List the prime factors of -1 + (c\/1)\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 25 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16880 and 8440?\nAnswer: 16880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 (base 12) in base 5?\nAnswer: -4310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*-3)*90\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = -49. Let g = -9 - f. Suppose -g*x - 18 = -6*x. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.745 + 0.195. Let v = z + 1.55. Which is the closest to v? (a) -4 (b) 0.2 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o + 1. Let v(r) = -2*r - 4. Let s be v(-12). Let n be 1\/(-4) + s\/16. Give z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -67. Suppose q = 5*d - j, 0*d - 12 = -3*q - 4*d. Solve 2 = -q*m + 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-56.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(209)*2 + sqrt(209))*6 + sqrt(209) - 6*sqrt(209)*2)\/(-4*(sqrt(220)\/sqrt(4))\/sqrt(5)).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 5*m + 5*m)*(-2*m + 139 - 330 + 147)*(-1 + 4*m**2 - 3*m**2 - 5*m**2) as h + w*m**3 + i*m + z*m**4 + j*m**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.78 - 296.47.\nAnswer: -295.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 12. Suppose r*c - 5*c = 0. Which is smaller: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7894)\/(-1) - (-6 + 30\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:11 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 8 + 1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 - -128. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82 - 175?\nAnswer: -173.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let d = -1.78 - -1.58. Which is the smallest value? (a) d (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 20*u**2 + 3*u - 4. Let x(z) = -5*z**3 + 101*z**2 - 16*z + 22. What is -11*j(c) - 2*x(c)?\nAnswer: -c**3 + 18*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13591 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 33. What is the second smallest value in 1\/2, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cos when three letters picked without replacement from {q: 3, o: 4, p: 2, s: 2, c: 8}.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t**2 + t - 14. Determine d(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 8, -5, -32, -79?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 5, 35, -3 in ascending order.\nAnswer: -8, -3, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11614758019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + 1*sqrt(208) + -1 + (sqrt(208) + (sqrt(208) - (-1 + sqrt(208)))*-3 - sqrt(208) - sqrt(208)))**2*-1)*-5.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*i - 5*p, 6 = 3*i - 0*p - 3*p. Suppose 4 = 2*k - 2. Suppose 0 = -18*f + 94 - 76. Sort f, k, i.\nAnswer: i, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.9 - -19.9. Which is the nearest to s? (a) 2 (b) 1\/5 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 - 1322502*j**3 - 6612459*j**2 - 10579908*j - 5289948 = 0. What is j?\nAnswer: -440829, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shq when three letters picked without replacement from {l: 2, q: 2, z: 1, p: 1, s: 1, h: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.91*11.\nAnswer: -483.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:13 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 440*k + 44*k + 308*k + 12672 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, x: 2, p: 1, q: 2}. Give prob of sequence dx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 34*r. Let p(u) = 36*u**2 + 1. Give p(h(l)).\nAnswer: 41616*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-14 + 4 + -10 + 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 466a01 + -790?\nAnswer: 466221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from qeqcqcqneqneqqc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168507 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3\/3 + 7*j**2 + 45*j - 5. List the prime factors of d(-19).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 366352 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, -5, 4, 17, -2 in decreasing order.\nAnswer: 17, 4, -1, -2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18650252 divided by 4662563\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 8. Let w(i) = 5*i - 17. Give 7*s(j) + 4*w(j).\nAnswer: -j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 15. Suppose 2*m + 382 = w*t, 4 + 2 = 3*t. Calculate the common denominator of -59\/22 and (-6)\/2 - m\/(-56).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.022613343 + 0.02261. Round m to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpxpppypktt. Give prob of sequence xk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*v = 12, 0*w = -4*w + 3*v + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + h + 17 = 0, 0 = -104*w + 99*w - h + 46. Calculate the highest common factor of 378 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-180)*-10*48\/21?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 42. Let z = -35 + p. Sort -0.3, z, -0.03 in ascending order.\nAnswer: -0.3, -0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10227, -5210, -195, 4818?\n\"Answer: -g**2 + 5020*g - 15246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 - 171.1. Suppose 2*i + 1 = -i + 5*u, 0 = -i - 5*u + 13. Let a be (3*3\/24)\/i. What is the second biggest value in a, j, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 1854, 2907, 4004, 5127, 6258, 7379, 8472?\nAnswer: 9519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257b804 (base 12) to base 13.\nAnswer: -16b5a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/1*24\/(-20). Let w be (h\/(-9))\/((-2)\/(-3900)). What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = q - 3*z + 1, -11 = -4*q + z. Let s(h) be the second derivative of h**2 + 1\/6*h**q + h + 0. What is s(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174 - 6*n**2 + 174)*(-4*n**3 + 1 - n**2 + 7*n**3 - n**3).\nAnswer: -12*n**5 + 6*n**4 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/15))**39 assuming h is positive.\nAnswer: h**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/36*20\/265. Let m = -2347\/9063 - p. Is m bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -428.7?\nAnswer: 428.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1055, 3, 11, -0.4, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 4, 46, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2) + (4 - (11 + -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6948 and 17\/6176.\nAnswer: 55584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4552)\/(-12) + (-8)\/6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -15*o - 51. Let h(m) = 22*m + 25*m**2 - 15*m**2 - 11*m**2 - 21. Let u be h(o). Let r(a) = -a**3 - a**2 + 16. Calculate r(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24407?\nAnswer: 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 178 + 158 = 5*r, -3*k = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.8 and 0.6.\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + q - 16*q)*(2*q - q + q) to the form j*q**2 + s*q + c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165.2 + -181.33. Let r = 16 + j. Let t = r + 0.05. Is 0 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 183, 276, 369, 462?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23825*d**2 - 2 + 22779*d**2 + 1 + (5*d - 3*d - d)*(-4*d - 3*d + 6*d) + 43*d + 2*d**2 - 43*d.\nAnswer: -1045*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 3520*j**2 + 2622*j**2 - 7010*j**2 + (j**2 + j**2 + j**2)*(j + 3*j - 2*j).\nAnswer: 4*j**3 - 868*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose -2*o + f = -8, -3*m + 19 = 4*o. What is the least common multiple of m and 5 + 11\/3 + 52\/(-78)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1034 divide 33160233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2512 - -94805423210.\nAnswer: 94805420698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + ((2 + sqrt(147) + sqrt(147) + -1*sqrt(147) + sqrt(147))**2 - (sqrt(147) - (5*(0 + sqrt(147)) - sqrt(147)))**2) + -2 + 5).\nAnswer: -56*sqrt(3) + 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 963, 2011, 3085, 4185, 5311, 6463?\n\"Answer: 13*s**2 + 1009*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5016 (b) -2.8 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46104919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/4 - 693*l\/2 - 8840 = 0.\nAnswer: -1360, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from uqepvuzupuquupz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y. Let u(l) = 20*l**2 + 25*l - 120. Let v(x) = -25*s(x) + u(x). Determine z, given that v(z) = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*k**5 - 82*k**3 - 82*k**2 - 9*k - 1.\nAnswer: 10500*k**2 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aahaalhhwooahlwashhl?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -23. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 51 + 233 = 3*l, 231 = 7*l - 4*l + l - 9*w for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 9*h**2 + 9*h - 8. Let i be r(8). Suppose i = -v + 6 + 10. Suppose -v = 5*k - 51. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44938277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4422 + -1.825. Round b to 2 dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22389e (base 15) to base 8\nAnswer: 6163512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20743\/5 + (-60)\/100. Let s = 10287 - w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*a - 64. Let n be -2*4\/(-8)*19. Suppose 5*b - n = a. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 - 130*x**2 + 585*x - 450 = 0.\nAnswer: -30, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0 + 2 + 0*v**2 - v**2. Let k(f) = -3*f**2 + 7. Let p(l) = l**2 + 15*l - 16. Let j be p(-16). Suppose 4*w + 1 - 57 = j. Calculate w*x(n) - 4*k(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 (base 16) in base 12?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 3*x + 87, 5*x - 101 = -6*u + 106 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 3. Let d(v) = v. Let j(r) = 2*r - 16. Let k(z) = 4*d(z) + j(z). Determine 2*k(l) - 11*y(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -517*k + 540*k + 299 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from ecbdo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5976 + -879?\nAnswer: -6855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442360091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/14 + 10\/35 and 87\/(-24) + 4\/(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2625*z + 1032*z**2 + 2018*z**2 + 2629*z)*(-2*z**2 + 0*z**2 + z**2) - 2*z**4 + 2*z**4 + z**4 to f*z + p*z**2 + x + v*z**4 + b*z**3 and give v.\nAnswer: -3049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from wyvvyyyyc?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-4) + 7 + -4. Let z(h) be the third derivative of 0*h + 0 - h**j - 1\/24*h**4 - 1\/60*h**5 + 0*h**3. Let z(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 7:48 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 9, 1070 in descending order.\nAnswer: 1070, 9, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 42*u**2 - 19*u - 2. What is o(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 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: Suppose -23*s + 35*s - 36 = 0. Let k(i) = 0*i + 4*i + 2 + i**3 - 3*i**2 - 6. Give k(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -2*u + 3*u, 2*j + 5*u - 24 = 0. Suppose z = -w + 6, 5*z - 2*z = -w + j. Suppose -d + 6*d = 45. What is the highest common divisor of d and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*r + 3 + 5, 0 = -4*s + 5*r - 9. Let w be (6*7\/s)\/1. Let q = w - -79. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, 5, -5 in descending order.\nAnswer: 5, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4550*o + 179. Does 52 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*g - 351*g - 632*g - 991*g as p*g + s and give p.\nAnswer: -2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -50. What is the smallest common multiple of -1 - (-3)\/v*(1 - -3) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3945*i**4 - 1870*i**2 - 8*i?\nAnswer: -94680*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16056\/(-4 + 13) + -2 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5*g + 33*c**3*g + 754*c**3*x + c**2*g*x + 35163*c**2*x + 2*c**2 - 2*c*g + 3*g*x + x wrt c?\nAnswer: 120*c**2*g + 198*g + 4524*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-9)\/((-405)\/18)))\/((-148)\/370)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5866704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/652 and 55\/16?\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -2979*z**6\/40 - 55*z**3 - 5*z**2 + z - 87. Differentiate i(j) wrt j.\nAnswer: -26811*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4620\nAnswer: -1\/4620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(60\/(-36)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1696*c**3 + 17*c**2. Let k(z) = 565*z**3 + 6*z**2. Give -17*k(l) + 6*s(l).\nAnswer: 571*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 36*a - 28. Let y be q(17). Suppose 2*w - 288 = -y*w. What is d in 21 + 224*d + 27*d**3 - 9 + 204*d**2 + w + d**3 = 0?\nAnswer: -6, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2)**(1\/19)*m**(3\/5)*(m\/m**(-2))\/m assuming m is positive.\nAnswer: m**(242\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -15213277.\nAnswer: -15213277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706311 to the power of 1\/2, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 4 - 2 - 13*r + 5. Let f(i) be the first derivative of -2*i**3\/3 - 512. Calculate f(d(k)).\nAnswer: -200*k**2 - 40*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/48 and (-4)\/32*-12 + 2276\/(-1704).\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -399, 5838, 16233, 30786, 49497, 72366, 99393?\n\"Answer: 2079*y**2 - 2478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12*l**2 + 3*l + 3. Let w(i) = 25*i**2 - 5*i - 5. Let p(z) = 3*w(z) + 5*x(z). Let t(g) = -4*g - 9*g**2 + 4*g + 11*g**2. Calculate t(p(o)).\nAnswer: 450*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + d**4 - 4*d**4 + d**3 - d**4 - d**3 + (-32 - 8 + 6)*(2*d**4 - 5*d**4 + 2*d**4) - 4*d**4 + 0*d**4 + 0*d**4)*(0*d + 0*d + d).\nAnswer: 28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, and 1 n when three letters picked without replacement from {n: 3, l: 1, r: 3, x: 1, s: 2, h: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 154\/31 (b) -53 (c) -4\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3872 and 221947?\nAnswer: 78125344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -2. Let l = v + -13. What is the third derivative of -8*g**2 - 67*g**3 - l*g**2 + 97*g**3 wrt g?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/56 + 2)\/(0 - 1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 26. What are the prime factors of g(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64201, 128397, 192669, 257053, 321585, 386301, 451237, 516429?\n\"Answer: 6*n**3 + 2*n**2 + 64148*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**3 - 5*r**2 + 6*r - 6. Let d(k) = 5*k - 1 + 194*k**3 - k**2 - 193*k**3 - 4*k. Calculate -6*d(h) + z(h).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*h - 18, 6 - 38 = -4*j - 4*h. Suppose -5*i - 4*c = -88, -c = -5*i - j*c + 85. Let t(q) = 7*q - i*q + 14*q. Let f(s) = 11*s**2. What is f(t(o))?\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3189 (base 13) to base 9.\nAnswer: 10376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmmoonononmfnofofon. What is prob of sequence onm?\nAnswer: 49\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + -1 + (((sqrt(1700) + sqrt(1700) + 1)*-6 + 1 + -2*sqrt(1700))**2 - (2 + 2*sqrt(1700) + 4)**2).\nAnswer: 1160*sqrt(17) + 326393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*c - 140, -3*c = 3*m - 5*m - 152. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -46388*y + 417301. Determine c(9).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21131124 (base 6) in base 14?\nAnswer: 12155a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 35 = -4*r. Let f = 82 + -65. Put f, 4, r in decreasing order.\nAnswer: f, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91896757093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121.5 + -98. Let c = f - -3. Let j = c - 21. What is j rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:48 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 296 + 324 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46179508.\nAnswer: 2, 73, 167, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 40 = -6*d, 4*d = -23*c + 19*c - 28 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -691 - -699. Let i be (-35)\/(-5) + 5 - r. What is the greatest common divisor of i and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0 + 8\/3*u**3 + 0*u + 5\/6*u**4 + 39*u**2 + 1\/15*u**5. Find i, given that a(i) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136461719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3124587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -0.04 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 53*r**2 + 1763*r - 1763. Calculate v(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21412509 is divided by 445?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6321000 to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316183913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 821.\nAnswer: 14778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -643 - -644. Suppose 5982 = -11*k + 15*k - 2*b, 0 = -b - a. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5798 divided by 4\nAnswer: 2899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*k + 3 + 1, 3*m = -5*k + 12. Let v be (-68)\/(-18) - 10\/(-45). Find the second derivative of 2*z**v - z**4 - 3*z + 3*z**m wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04217 in 5, 10, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1853 or 1852?\nAnswer: 1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 10556.\nAnswer: 105.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 12 + 14 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y - 47. Let k be d(-7). Suppose 4*h - 6*h + k = 0. Let q be (1 + -1 - 1)*(-25)\/55. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15237, 60391, 135665, 241059?\nAnswer: 376573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 - 5*r**4\/12 + 7*r**3\/2 - 4*r**2 - 85. What is g(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1891, -1892, -1893, -1894, -1895, -1896?\n\"Answer: -y - 1890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100001001110001101100001?\nAnswer: 100001001110001101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58157 (base 9) to base 3\nAnswer: -1222011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 39. Let k = w - 40. Is k > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 15, -57 in descending order.\nAnswer: 15, -57, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -45*y - 366 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11869 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/612 and -43\/11628.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 239232?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -98598, -98599, -98600, -98601?\n\"Answer: -r - 98597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 26 - 54 = 0. Find the second derivative of 4 + 4*s + 5 - 9 + l*s**2 wrt s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0 - 2 - 4)*(-3*o - o + 2*o)*(-12*o + 12*o - 7*o**3 + (-2*o**3 + 5 - 5)*(-1 + 1 - 2)).\nAnswer: -6*o**5 - 36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by -247.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105313 - 63?\nAnswer: 105240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635002 is divided by 71216?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93, -202, -361, -594, -925, -1378, -1977, -2746?\n\"Answer: -4*h**3 - h**2 - 78*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*1 - sqrt(600))*4*1)\/((sqrt(432)*2*5 - sqrt(432))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65.7 + 8.3. Let w = -74.2 + o. What is the third smallest value in -3, w, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 150*c - 155. Let l(x) = -25*x + 25. Give -4*f(t) - 25*l(t).\nAnswer: 25*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1676739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 2. Determine i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72394372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from qblblyu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 638179302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - k - 5*k - k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 10 + 0 + 0)*(-2 - 1 + 5).\nAnswer: 8*m - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2034, -38, 1, -5 in ascending order.\nAnswer: -38, -5, -3, 1, 2034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15142238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 174.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfyo. What is prob of sequence ooy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 5. Let d be q(4). Let n be (-244)\/(-16) + d\/4. Let w = 142 - n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 + 0*p + 0*p**3 + 38 - 2*p + p. Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.478 (c) 481 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 1 + 2 + 0*o - 4.\nAnswer: 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c2 + -29293?\nAnswer: -28ec1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 12, 23\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-6))\/((-29)\/((-348)\/(-8)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6337, 6324, 6303, 6274, 6237, 6192?\n\"Answer: -4*r**2 - r + 6342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24614, -50881, -80472, -115049, -156274?\n\"Answer: -277*i**3 - 24328*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 9*c - 62. Determine i(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 6\/16 - 6864\/(-128)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4368 and 111\/308?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 - 10 + 24*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 214820693780 from -0.4.\nAnswer: -214820693780.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 + 9*t - 134. What is y(0)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 4)\/(2\/(-17)). Suppose 3*b + 5*x - j = 0, -b = -0*b + 2*x - 12. Suppose 42*q - 44*q + 6 = 0. Calculate the remainder when b is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, 0.15, -1, 25, -0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 21. Let k = a + 2. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 = 0, -5*y - 4*k + k = -88. What is the highest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Suppose i + 1 = -j - 2, -f*j + 2*i + 10 = 0. Let m(a) = a - a**2 + j - 6*a - 5. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 2*f - 303. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((21 - 28) + 0 + (0 - -19) + -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2) - (-1575)\/140. Let z = -22 + 25. Which is the third biggest value? (a) z (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**3 - 2*b**2 + 2*b - 1. Let p be v(1). Let u(h) = -h**2 + 8*h + 6. Give u(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/12 + 3*h**2\/2 + 4*h. Let k be m(0). Suppose -k*f - j = 2*j - 51, -3*j = -12. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4 = -2, x + x - 4*x = -31*o + 2*x - 318 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -f, 3*f - 2*f + 6 = w. Solve -m - w = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309\/4 - 1517\/20. Let t = -11\/15 + z. Let a be (-2)\/9 + (1 - (-148)\/(-144)). What is the closest to a in t, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 384*r + 136 - 54*r + 64.\nAnswer: 330*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32458905 divided by -47?\nAnswer: -690615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13467 - 13536. Put 3, v, 0 in descending order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7388401?\nAnswer: 2083, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 (base 16) in base 10?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a - 111 = 159 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 6*m**5 - 15*m**3 + 3*m**2 - 25*m**4 + 0*m**3 + 42*m**2.\nAnswer: -5*m**2*(m - 1)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 82.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12338, -24672, -36996, -49310?\nAnswer: -61614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -92750.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 - 6*p**2 + 10*p - 4*p**2 - 2*p**3 + 0*p**2 - 8*p + 8. Determine x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(208)\/sqrt(4) - sqrt(52))\/sqrt(4) + sqrt(13)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxaaaaxaaaaaaxaxax. Give prob of sequence axa.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1296823, 2593646, 3890469, 5187292?\n\"Answer: 1296823*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44302*u**2 - 11079*u**2 - 11106*u**2 - 11027*u**2 - 11087*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -47 (b) -5\/2 (c) -0.3 (d) 2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 9*m - 22*m + m**2 + 3*m - 4. Let a(s) = s**2 - 5*s - 4. Let j(r) = -3*a(r) + 4*f(r). Determine j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + 34*p**3 - 14 + 30 + 2*p**2 - 13 - 5*p + 4*p as y*p**3 + j + f*p**4 + g*p**2 + z*p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 12*t - 15. Let z be w(-8). Let q = z + -16. Let d(j) = 6*j. Calculate d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)\/(q\/(q**(-1\/4)\/q))*(q\/q**0*q)\/q*(q*q\/(q*q**(2\/7))*q)\/q)\/(q\/q**(5\/7)*q**(-1\/7))**(6\/11) assuming q is positive.\nAnswer: q**(-267\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 15*q**2 + 62*q + 15. Let j(i) = -i**2 - 13*i - 2. Let r(n) = a(n) + 6*j(n). Calculate r(-11).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 42, 30, 2, -48, -126, -238, -390?\n\"Answer: -y**3 + y**2 + 2*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259588727?\nAnswer: 3, 5821, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/9 - 1314\/664)*-70. Let h be (-1)\/((83\/(-2))\/1). Let g = h - s. Sort 2\/9, 4, g in ascending order.\nAnswer: 2\/9, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26a689 - -13?\nAnswer: -26a676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 5*j + 4. Let c be 127 + (4 + -7 - -6) - 3. Suppose 0 = c*s - 118*s + 27. Give f(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(128)*-1 + -3) - -3*(1 + sqrt(128) + -3))*-3.\nAnswer: -48*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -92*v - 89. Let i be y(-1). Suppose 4*f + 1168 = 2*a - 1164, i*f = 2*a - 2327. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g**3 - g + 2. Let f be p(2). What is the greatest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.68 + 0.2. Let j = b + 0.08. What is the closest to -2\/3 in j, 0.2, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 8*y**3\/3 - 3. Let v(f) = f**2. Calculate j(v(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0122 and -668941152576.\nAnswer: -668941152576.0122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 18*d**2 - 32*d + 25. Calculate p(9).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 4*w. Suppose -5*v = -51 + 71. Let o(m) = m. Determine v*o(k) - i(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -20*k + 214 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 - 2516*f + 7530 = 0.\nAnswer: 3, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**3\/6 - 3*g**2 + 2*g - 69. Calculate w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 - 3.6. Let h = 0.1 - -0.9. Which is the closest to k? (a) 2 (b) -2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/7 - 68*t**3\/7 + 62*t**2\/7 + 132*t\/7.\nAnswer: 2*t*(t - 33)*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h, 0 = -5*p - 5*h - 16 - 4. Sort p, -3, 5 in increasing order.\nAnswer: p, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.029 + 0.319. Let d = -0.228 + s. Round d to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 920 and 955 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*i - 101625, -51995 = -2*i - 4*x - 11359. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64328815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**3\/3 + c**2\/2 - 2. What is q(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/5 - 36*h\/5.\nAnswer: 3*h*(h - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -637, -1450, -2599, -4090, -5929?\nAnswer: -8122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 155 - 146 - (-1 + 10). Which is bigger: -2\/771 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1386 and 672?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:56 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 11) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 26*y**2 + 45*y - 487. What is c(27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -65, -158, -309, -530?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747 (base 9) in base 10?\nAnswer: -1339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 727.270812 rounded to 1 dp?\nAnswer: 727.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 13 = 5*m - p, 4*m - 5*p - 23 = 0. Let k = 6 + 6. Suppose -5*o + 24 = 4*z, o - z = -0*o + k. Is o <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5))\/sqrt(6) + sqrt(288)\/sqrt(6).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 741886 and 1012546.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 87 = -126 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032 divided by 4?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1 + sqrt(405) + -3 + (sqrt(405) - 4*(sqrt(405) + 0))**2)*-6.\nAnswer: -21846 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8680, -8699, -8722, -8749, -8780?\nAnswer: -8815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 190508616 divided by -72\nAnswer: -2645953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose z*b + 0*b - 28 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 11*a**2 + 11*a - 11. Let x be z(10). Let r = x + 57. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 22*q - 45. Let b be c(-22). Let g = b + 49. Let k(y) = 27*y**2 - 4*y - 1. Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v + 14*v - 34*v + 8*v**3.\nAnswer: 8*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - c - 10 = 0, -c = 3*s - 14 - 6. Solve 0 = -a + s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -19311.\nAnswer: -96555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*m - 110*m + 12320 = 114*m for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -171859, 7, 3 in increasing order.\nAnswer: -171859, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - (2793\/190)\/(-49). Which is the second biggest value? (a) 1 (b) m (c) 0.5 (d) -1\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(80\/(-42)) - (-2)\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.37946 less than 3.3538?\nAnswer: -63.02566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -169, -28 in descending order.\nAnswer: 8, -28, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.58 - -7.58. What is the nearest to 1 in -3, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8977.65 - -8978. What is the third biggest value in s, -8, -0.06?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 h when four letters picked without replacement from hwwhhwwhhwwwwwww?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*45\/(-945) + (-8)\/(-6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, o: 4, w: 1, h: 1}. Give prob of picking 1 h, 1 w, and 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*20\/(-8)*(-90)\/75\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:09 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*q - 6 - 2, 4*q = -5*d + 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 9 - 74)*(-z - 3 + 6 + 0).\nAnswer: 141*z - 423","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + -79. Calculate the lowest common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7\/6, 2\/3, 0.001, 0.97?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 3*j + 20, -n - 11*j - 154 = -n - 187 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by ((5 + -2)\/3)\/(3\/87).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/3))**(-5)*(h**(7\/2)*h)\/(h*(((h\/h**(-1\/2)*h)\/h)\/h*h)\/h*h) assuming h is positive.\nAnswer: h**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 426 - 425.9. Let t = -0.021 + -8.979. Let s = -7 - t. Which is the smallest value? (a) d (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 912 and 909 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1299648062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 927\/67?\nAnswer: 927\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeqqqerd. What is prob of sequence dqe?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 133143 + -1?\nAnswer: 133142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 5*d**2 + 14*d + 6. Give g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -720 less than or equal to -4575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 36. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40505, 40405, 40237, 40001?\nAnswer: 39697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128620 and 51884?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/2)\/5)\/(13\/65).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*c + 2 = 20, -2 = -3*v + 2*c. Let x be 1 + v\/4*-10. Which is bigger: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68975 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/79637, 2\/3, 5, -2\/11 in increasing order.\nAnswer: -2\/11, -2\/79637, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158396903?\nAnswer: 7, 359, 63031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**3\/3 + 3*c**2\/2 + 5*c - 3. Let t(h) = 5*h**2 + 7*h + 11. Calculate -9*i(b) + 4*t(b).\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**24)\/c)**(-2\/77)\/(c**(-2\/15))**(-2\/33) assuming c is positive.\nAnswer: c**(2132\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 14*h**3\/9 - 4*h**2\/3 - 107. Factor d(o).\nAnswer: -o*(o - 4)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/4 + 3*f**2\/2 + 2. Let n be d(-2). Let t(u) = -u - 1. Let g be t(-7). Solve 4*p + g - n = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1185 - 1189\/2370. Which is the third biggest value? (a) -0.4 (b) -10 (c) l (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*k - 4 = 0, 2*z - 4*k - 8 = -2*z. Let p be -6*3\/(-6) - 0. Solve -p = 3*n + z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*v = -194*v + 89544. List the prime factors of v.\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 0.03, 30, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(272) + 3 + (sqrt(2448) - (2 + sqrt(2448))).\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/7 + 1426*k**2\/7 - 116789*k\/7 - 658648 = 0. What is k?\nAnswer: -29, 119, 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464897785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 0.08, -8, 182, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285364888 to the power of 1\/3, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 1. Let x be 3 - (3 - 1\/1). Let q be h(x). What are the prime factors of q\/3 + 424\/24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 7 - (-4 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let h(g) = -3*g**2 + 2*g. Let z(o) = -2*d(o) + h(o). Let v(r) = 4 - 4 + 2*r. What is v(z(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -57f (base 16) in base 10?\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/224 and 45\/1817228.\nAnswer: 14537824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -35*z**3 + z**2. Let k be 7\/(-5) - 6\/(-15). Let u be w(k). Let g = 7471 - 7462. What is the greatest common divisor of g and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.73 + -0.669. Let l = v + -0.561. Put l, -0.04, 1, 0.1 in ascending order.\nAnswer: l, -0.04, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35132672843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 9)*(-4)\/(-6). Solve -3 - 13 = -a*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12489123 less than or equal to -12489118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 247020791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d - 3*d - 1)*(-4*d**2 + 4*d**2 + d**2) + (18 - 18 + 29*d**2)*(-2*d + 2 - 2).\nAnswer: -59*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -3*(sqrt(612) + 2*(sqrt(612) + 0 + sqrt(612))) - ((-1*(1 + sqrt(612)) - (sqrt(612)*1 + -4 + sqrt(612))) + 2)) + 3)**2.\nAnswer: 288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 3.2 (b) -1 (c) -2\/7 (d) 4 (e) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 139*d - 495*d + 145*d + 9 + 5*d**2 + 165*d. Determine t(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/20 + 22\/(-40)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/10 + 200*x**2. Let p(j) = j**2 - 43. Determine n(p(i)).\nAnswer: -6*i**4 + 516*i**2 - 11094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lamaaowa. Give prob of picking 1 m, 1 w, and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -0.5. Let m = 1 - c. Let n = -1.54 - -0.54. What is the closest to n in -0.5, m, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 + 0*t**2 - 4*t**2 + 6*t - 6*t - 8*t**2 - 4*t**2 + 2*t**2 + 4*t**2 + (-2*t - 2*t + 6*t)*(-3 + t + 3).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -2. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a factor of 5695018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Let w = 8 - h. Which is the closest to 1\/4? (a) -5 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 131 = -5. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, -2, 3 in ascending order.\nAnswer: -2, -1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = m - 20, 13*x - 1120 = -5*m - 1210 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let f(g) be the first derivative of -12*g**2 - 2*g - 2629. Determine a(u) - f(u).\nAnswer: 25*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)*(-11 + 8). Suppose 0 = -5*o - d + 13. Find the third derivative of -2*k**o + 0*k**3 - 5*k**2 + 4*k**3 - k**3 wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 417833780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -371, -1482, -3333, -5924, -9255?\n\"Answer: -370*b**2 - b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27672492 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 4*g - 6*g)*(1 - 2*g - 1) - 34*g**2 + 13*g**2 - 9*g**2 + (3 - 3 + 2*g)*(-g + 1 - 1) to the form i + x*g**2 + n*g and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -45*p**3 + 7437*p**2\/5 + 15354*p\/5 - 168 = 0.\nAnswer: -2, 4\/75, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.8. What is the nearest to 0.1 in s, -0.3, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6*k - 2. Let p be i(-6). Is (220\/(-80))\/(p\/1688) - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-194089)\/(-323) + 10 - (-4)\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(r + 3*r - r)*(4 - 1 - 4)*(2 + 3 - 7).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 5:32 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57047933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 17*z**2 - 10*z - 15. Let u be j(-8). Is 1\/(u\/3*3\/354) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 4*i**3 + 6*i - 3*i**3 + 7*i**3 - i**4 in the form g*i**2 + j*i**4 + c*i + t + u*i**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -30*p + 33*p. Let g(n) = 3*n + 2. Suppose 0*x - 2*x = 8. Let i(f) = -4*f - 2. Let a(u) = x*i(u) - 5*g(u). Give a(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 4. Let w(o) = -o + 3. Let h be w(-6). Let i be s(h). Let p(a) = -a**2 + 4*a + 5. What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6615741 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/21)*x**(-11\/2))\/(x**28\/(x**(-3\/8)*x)) assuming x is positive.\nAnswer: x**(-5347\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -21. Let i = 5\/12 + -3\/4. What is the nearest to z in i, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3549132847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 2:48 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 26. Let g be n(23). Suppose -3 = -g*k - 0*k, -2*f - k + 901 = 0. Round f to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*x**3 - 175*k**2*x**2 - k**2*x + 3*k*x**3 + k*x + k - 100*x**2 wrt k.\nAnswer: 4*x**3 - 350*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6347317.6 to the nearest one thousand.\nAnswer: -6347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 3*q**2 + 3*q**2)*(-3*q**2 + q**2 + 0*q**2) + 4*q**5 + q**5 + q**5.\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*q - 0. Let b(o) be the third derivative of 1\/165*o**q + 0 + o**2 + 0*o**3 + 1\/132*o**4 + 0*o + 1\/660*o**6. Factor b(w).\nAnswer: 2*w*(w + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3877158?\nAnswer: 2, 3, 646193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 430, 678, 924, 1168, 1410, 1650, 1888?\n\"Answer: -o**2 + 251*o + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/12 - y**3\/3 - y**2\/2 - 10*y. Let g be z(-1). Find i, given that i**3 - 3 + 323*i**g + 3 - 322*i**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/i**(-6)*i)\/i)\/(i*i\/(i\/((i*i**(7\/2))\/i))*i))\/((i**(-10)\/i)\/i**(-8)))**(2\/33) assuming i is positive.\nAnswer: i**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -47. Let r = t + 54. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 5*a**3 - 165*a**2 + 295*a - 140.\nAnswer: 5*(a - 4)*(a - 1)**2*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 3. Let r(p) = -p + 15. Let q be r(0). Let t = o - q. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 2*j**5 - 4*j**5 + 2*j**5 + j**5 - 4*j**5 + (2*j**2 + j - j)*(3*j**3 - 3*j**3 + 2*j**3) + j**5 + 2*j**4 - 2*j**4 + 1752 - 1752 + 38*j**5.\nAnswer: 40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-28)\/(j*j**(-8\/5)*j) assuming j is positive.\nAnswer: j**(-142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/75 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6289 and 5624?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206 - 89. Let z = o - 116.4. Let g = -0.2 + 0.4. What is the closest to g in 0, -1\/3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -29, -58, -99, -152, -217?\n\"Answer: -6*x**2 + x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*r = 11837 - 11817, 0 = -5*x + 27*r - 23*r - 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -69. What is the units digit of 4 - ((-4 - -8) + n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 22. Give t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - 6. Let j(y) = -5*y + y + 3*y - 2 + y**2 + 3*y**s + y**3. Is 3 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 126\/26) + 3*2\/(-39). Which is the smallest value? (a) 1\/70 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33305377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 3*t + 2 + 0*t**3 - t**3 - 4 to m*t + u + i*t**2 + z*t**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*b + 38. Let l = -51996 - -51993. Sort -12, b, -1, l in decreasing order.\nAnswer: b, -1, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and -7*(4 - -5)\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-9)\/(-6)*4. Let c be 4 - 1 - 1 - f. Factor 0 + 0*m**3 - 2\/3*m**c + 0*m**4 + 0*m**2 + 0*m.\nAnswer: -2*m**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926459 is divided by 102937?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.795318597037+3\nAnswer: 3.795318597037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from blbbl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392323581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 31*u**2 - 155*u + 55. Calculate v(34).\nAnswer: -1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000031849 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1582061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 + 705*d\/2 - 1434.\nAnswer: 3*(d - 4)*(d + 239)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 21*h**2 + 118*h - 2739. What is c(20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*q**3\/2 - 260*q**2 - 703*q\/2 + 361.\nAnswer: -(3*q - 2)*(5*q + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -160*p**2 + 480*p - 4. Let a be k(3). Let s = -61 - -66. Sort 3, a, 11, s.\nAnswer: a, 3, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16111 - -16119. Let a(j) = 0*j + 2*j + 7*j + 2 - 8*j. Let s(y) = -3*y - 5. What is m*a(b) + 3*s(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*z)*(-2*z**2 - z**2 + 5*z**2)*(4*z - 4*z + 23*z).\nAnswer: -138*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/2491 - 32393\/12455. Let b = -289\/115 - d. What is the second smallest value in 5, b, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3155009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 - -2 - 7 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110 - 0.289\nAnswer: -110.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4 - -3087008690.\nAnswer: 3087008687.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 2086\nAnswer: 29204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*s**2 + 291*s**2 + 59*s**2.\nAnswer: 221*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 79472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 834?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -6. Suppose 22 = -4*i + 39*p - 37*p, 3*p + 55 = -5*i. Let t = i - u. Is -6 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(28\/(-8))*-5. Suppose 8 = 4*a + o, d = -5*a + 4*o - 1. What is the remainder when a - 3 - -11*2 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4 - 5. Put h, -2, 5 in descending order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 210. Let a(z) = -2*z**2 - 5*z. Give a(i(s)).\nAnswer: -18*s**2 - 2505*s - 87150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 16*x**2 + x - 7. Let o be r(16). Let s = o - -3. Solve 3*b + 4*y + 17 = 0, 4*b + 6 = -3*y - s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47424?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.04 (b) 63558 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*j + 10 = 0, 0*j - 20 = -5*v + j. Suppose z = v*z + 2. What are the prime factors of (3*-5)\/(z\/3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55909358?\nAnswer: 2, 101, 276779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 5*r - 2. Let f be m(-3). Suppose -f*w + 1 = -5*b - 5, -4*b + w = -4. Solve 9 + 0 = -3*t, -13 = -b*o + 5*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 8*m - 5. Calculate the remainder when b(-6) is divided by (-1 + 3)\/(2\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.063926 - 0.064. What is d rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 19, -165, 2, -1, -3 in descending order.\nAnswer: 19, 17, 2, -1, -3, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 69 + 12. What is the highest common divisor of 54 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.271 + 0.271. Suppose -r - 5 = -2*r. What is the closest to n in r, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 21 = 48. Let r be (2\/10 - 49\/(-5)) + 1. Let n = r + i. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/45*4050\/(-1125).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -10\/477803 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*k + 70, -2*v = -3*v + 4*k + 34. Let b(g) = v*g**3 + g - 19*g**3 + 11*g**3 - 2*g**2. Let r be b(1). Which is greater: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*l**3*p**2 + 27*l**3*p - 2*p**2 + 9*p wrt p.\nAnswer: -206*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 4, d: 2, t: 1, e: 6}. Give prob of picking 2 s and 1 t.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4345624 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -68 - 226. Let h = -34 - i. Solve 5*s + h = 5*y, -15 = -3*s + s - 5*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2106 and 729222.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfi when three letters picked without replacement from {f: 1, b: 1, a: 1, i: 2, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 221578007?\nAnswer: -221578005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124.3339 + -0.095.\nAnswer: 124.2389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052957889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 4. Let n be k(9). Let z(t) = 2*t**2 + 15 + 11*t**2 + n*t**2 + 8*t + 0. Is z(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7968411 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-14)\/(-21). Let l = 4.9 - 5. Which is the nearest to d? (a) l (b) -2\/3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11819?\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 957391885 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7013 + 3632?\nAnswer: -3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r. Suppose r*i = 3*i + 1650000. What is i rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247653283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 6*n - 4. Let g(y) = y**2. Let o(d) = -2*g(d) - i(d). Let s(l) = -l**3 - 11*l**2 - l - 5. Let b be s(-11). What is the units digit of o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyf when three letters picked without replacement from {w: 1, n: 8, y: 3, m: 1, c: 3, f: 3}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 11*l**4\/8 + 12*l**2. Let z(v) = v. Give s(z(m)).\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32139\/812 + -1182\/29. What is the common denominator of 47\/72 and n?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25705 and 24910?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -8. Is u less than or equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a64901 (base 13) to base 16\nAnswer: 851407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14234314 (base 7) in base 12?\nAnswer: -54551a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123 in -1, 9, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from eeeddddddeeddd?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 1, i: 1, n: 2}. Give prob of sequence uni.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -28. What is the third derivative of -24*m**4 - 5*m**4 + 14*m**4 - 9*m**r wrt m?\nAnswer: -360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-804)\/(-9) + (-15)\/90 + -3. Let d = n - 87. Which is the second smallest value? (a) d (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191 or 6175515?\nAnswer: 6175515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0*n + 3 + 0*n**2 + 2*n - n**2 - 4*n. Let b be k(-3). Suppose b = 3*j - j - 36. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqcc when four letters picked without replacement from cfcbqbc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (2 + 1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -1.32339?\nAnswer: 2.67661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3449 + 7*q**2 + 3449 + 7*q**2. Let k(c) = -2*c. Let b(h) = 2*h. Let r(m) = 5*b(m) + 6*k(m). What is l(r(g))?\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -25240 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 25.7. Let l = 2.7 + f. Let w = -7.00248 - l. Round w to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 165*d - 165*d + 20*d**2 as h*d**2 + x*d + f and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-414*z**2 + 2319*z**2 + 1882*z**2).\nAnswer: -11361*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42 - 6\/(0 - -3). Find the common denominator of (-3 + 28)\/(-1 - 17) and 3\/12 + 98\/w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-3\/14)\/((l\/(l*l*l**(-1\/3))*l)\/l)**28*(l**(-15)\/l**9)**(-3\/13) assuming l is positive.\nAnswer: l**(944\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = -5*s. Factor 0*c**s + 2\/3 + 4\/3*c - 4\/3*c**3 - 2\/3*c**4.\nAnswer: -2*(c - 1)*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n - 19 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2. Let j(o) = -55*o**2 + 45. Let m = 8 - 12. Let k(v) = 5*v**2 - 4. Let l(y) = m*j(y) - 45*k(y). Calculate l(t(q)).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 661335 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -64888.964 to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 197 = 2*c + c, 773 = 4*i + 3*c. Calculate the remainder when 775 is divided by i.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - 1. Suppose 0 = -5*k - 5*i - 0*i - 45, 2*i = 4*k + 18. Let p = k - w. 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 least common multiple of 8 and 188?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -152 (b) -815 (c) -5.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327769146 to the power of 1\/2, to the nearest integer?\nAnswer: 36439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 27. Let i(h) = -9*h + 867. Calculate i(o) + 5*y(o).\nAnswer: o + 1002","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.510171 + -0.4893. Round v to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1440166827 and 1166?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98, 99, 114, 149, 210, 303?\n\"Answer: c**3 + c**2 - 9*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/8 - -19\/56. Let g(f) = -3*f + 15. Let u be g(6). Let r be 6\/10*2\/u. What is the second biggest value in r, i, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/15 - (-8)\/6. Let i(y) = 4*y**2 + 0*y**2 - y**m. Let j(u) = -2*u**2. Give i(j(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -25*(0 + 1) - -1. Let a be 4\/(-12*(-51)\/612). Sort a, -1, 1, d in decreasing order.\nAnswer: a, 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -36, -55, -74?\n\"Answer: -19*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1001020?\nAnswer: -1001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1941 times -147803?\nAnswer: 286885623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.5527 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221*f**2 - 137 wrt f.\nAnswer: -442*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 19. Suppose -3*j - 25 = -4*g, -15*j + 11*j + 8 = 5*g. Calculate the lowest common multiple of v and g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -700 in decreasing order.\nAnswer: 7, -5, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355616294 divided by -32328754?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Suppose 0 = -0*j - 5*j. Let g be j - (-2 - -1*2). Let u(p) = g*p + 0*p - 3*p. Calculate u(n(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3*w - 20. Calculate o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67585781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10022173687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2 + 8. Let k = p + 3. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15493938 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r - 71*r - 638 - 346 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.33 (b) -0.4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6198 and 15.\nAnswer: 30990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423 (base 7) to base 3.\nAnswer: 21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23760.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(3*s - 6*s + s) + (-1 + 3 + 1)*(7 + 8 - 9)*(-5*s + 5*s - 2*s).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 + 11*l**2 + 6*l - 1. What is n(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20560*c = 20555*c + 2*t - 1, c + 5*c + t = 43 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -10, -0.03, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 - 1.7. Let b = 0.71 + a. Let m = -0.02 + b. Put m, 3\/5, 2 in decreasing order.\nAnswer: 2, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 + 12\/((-28620)\/2387)). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*g - 21*g - 27*g - 20*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - -37. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000735 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxkkvykvvavv. Give prob of picking 1 y, 1 a, and 1 x.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 9*z - 2. Let h be t(6). Let w = 77 - 41. Let q = w + h. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2909 and 0.07264?\nAnswer: 0.21826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2. Let s be o(-7). Suppose -3*g - 3 = -s. Let x(z) = -z + z**2 - 32507 + 32507. Let d(l) = 3*l**2 - 6*l. Calculate g*d(f) + 6*x(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-114)\/4*(-8 - -4). Suppose a = 3*f - 7*h + 4*h, -2*h + 4 = 0. What is the highest common factor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((0 - -1) + 0). Suppose x*r - 4 = -2*r. Suppose -4*m + 39 = 2*v - 7*m, r*v + m - 19 = 0. Solve 3*t = -0*t - v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/13 - 559290*y**2 + 14541548*y\/13 = 0. What is y?\nAnswer: -3635387, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/3, 22, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from crrrccrrrrrr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5\/(-2)*13\/65.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y + 4. Let q be g(-3). Let f = -2 - q. Is f at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31820 divided by -10\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 359*s - 719. Give u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 30*t - 719. Let h be n(24). Which is the closest to 1? (a) 3 (b) h (c) -2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*q + 2000 = 0, 7*m - 3*m = 3*q + 1607. Let r = 552 - m. What are the prime factors of r?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from {d: 3, y: 1, l: 1, c: 3, p: 2, g: 5}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2125*m**2 + 2*m - 4. Let b be d(2). Round b to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = r. Let f = 0 + r. Let v = 1 - f. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1103*z = 544*z + 548*z + 715. Calculate the greatest common divisor of 208 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 1. Let v be 1\/2*-15*(-4)\/3. Suppose v*o - 14 = 6. Let i(t) = -4*t**3 + 3*t**2 - 9*t. Let g(h) = o*i(h) - 10*u(h). Factor g(a).\nAnswer: 2*(a - 1)**2*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8398 - -8400. Solve 3*z = -2*p + 1 - 6, 2*z + 4*p = t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 19*j + 2*j - 19*j - j - 3*j. Let f(o) be the third derivative of 11*o**4\/24 + o**3\/3 - o**2. Give f(k(i)).\nAnswer: -22*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + i + 310, 2*m - i = 6*m - 257. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 35, 0, 1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d*d\/((d*d**(1\/24)*d)\/d)))\/(d*d*d\/(d\/d**(1\/11))))**4)**(-32) assuming d is positive.\nAnswer: d**(8656\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*d**4 - 75*d**3 - 5872 wrt d?\nAnswer: -236*d**3 - 225*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 3\/5, -164, -1\/3, 1 in decreasing order.\nAnswer: 5, 1, 3\/5, -1\/3, -7, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 2. Sort -1, y, 3 in ascending order.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 317968, -2, 49\/8 in descending order.\nAnswer: 317968, 49\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {r: 1, q: 1, p: 4, n: 1, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f + 24*f = -32*f + 71*f. Factor f + 26\/5*b**2 - 2\/5*b**3 + 0*b.\nAnswer: -2*b**2*(b - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + 2*r**2 - 2*r + 6. Let t(d) = -1493*d**2 + 1 - d + 2986*d**2 - 1492*d**2. Calculate 2*t(y) - w(y).\nAnswer: 4*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24732 - -42879. Suppose 5*k - l = -q, -q + 5*q = -3*k + 10895. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 11229 = 322*m + 189 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 2 v when four letters picked without replacement from vvvxxmvvvmvvvmvvv.\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -137334496*c**2. Let z(w) = -2*w. Determine z(p(d)).\nAnswer: 274668992*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/6 - (3 + (-1544)\/12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - (-768)\/(-54). Let l be (-4)\/g + ((-160)\/(-28) - 3). Solve -10*a + 14 = -l*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-49)\/(-105))\/(2\/25)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (297\/(-396))\/((-6)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 6 - 285*x + 6 + 286*x.\nAnswer: 13*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -61 times -326.9994\nAnswer: 19946.9634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 2, c: 1, u: 1, q: 2, s: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-735)\/1029)\/((-1)\/(-14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:54 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 - 5*f - 4. Let v be q(6). Solve -5*s = v*m + 3*m - 5, 4 = 4*m - 3*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Let l = 4 - 1. Suppose -7 = -h*x - l. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/1324 and 113\/306.\nAnswer: 202572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1238*(-3)\/(-6)*-1. Suppose -2*b = d - 327, b + k = 5*b - 5*d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 151*n + 5863. Give q(-81).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (124\/(-4))\/1 - 3. Let a = -62 - f. Let m be (-6486)\/(-8) - (-21)\/a. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**4 - 4*j**4 + j**4)*(2 + 2 - 2) + 568 - 568 + 26*j**4.\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 - y**2)*(-y**2 + y**2 - 2*y**2) + 3*y**4 - y**4 + 0*y**4 + 4*y**4 - y**3 - y**4 - 2*y**4.\nAnswer: 7*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 153011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*x + 4*u - 11, -4*x + 2*u + 2 = 0. Let t(b) be the first derivative of -1\/12*b**4 - 1\/2*b**x - 1\/3*b - 1\/3*b**3 + 1. Find v, given that t(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/12)\/((-150)\/11160). Solve h*q - 128*q + 16 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h**3 - 2*h**2 + 4*h + 2. Let l(d) = -19*d**3 + 5*d**2 - 9*d - 5. Let s be 74\/(-16) + 75\/(-200). What is s*b(u) - 2*l(u)?\nAnswer: -12*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 812*s**2 - 8*s - 28. What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 1, c: 2, m: 2, g: 1, q: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9751.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 1. Let n(f) = f**2 + 9*f + 1. Let i be n(-9). Let o be j(i). Let x be (-2)\/(6\/o) - -126001. Round x to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 8 - x - 3*x + 3. Let m be c(5). What is the first derivative of m*r + 0*r - 3 + 1 wrt r?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + 7*q**2 + 9*q - 5. Let k(p) = -p**3 - 2*p**2 - 2*p + 1. Let m(f) = 2*i(f) + 9*k(f). Let t be m(-4). Sort 1, -3, t in descending order.\nAnswer: 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75669969 and 410.\nAnswer: 756699690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005449383747 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q + 4*q + (-208 + 179 + 110)*(3*q - 6*q + 2*q).\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -33545825 to the nearest ten thousand.\nAnswer: -33550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0132498 rounded to four decimal places?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 22. Let l(u) be the first derivative of 0*u**3 + 0*u**3 + 12*u - 11*u**5 + 12*u**5 + s. What is the first derivative of l(n) wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:18 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 9 + 19 + 12*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.89 + -3.49. Which is the third biggest value? (a) -1.1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 475, -5 in ascending order.\nAnswer: -5, 67, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -28118, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2 + 41926*i**4 - 42455*i**4 + 2*i**2 - 997 wrt i.\nAnswer: -2116*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 128. Does 19 divide 59 - (h\/18 - (-6)\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 18 = 0. What is the remainder when 21 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 813956.2ng to grams.\nAnswer: 0.0008139562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let p(n) = 7*n - 6. Let a(y) = -20*y + 17. Let t(f) = 6*a(f) + 17*p(f). Calculate c(t(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70241526 and 234138420?\nAnswer: 702415260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11455 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 - 20165588*q**2 + 60496750*q - 40331164 = 0. What is q?\nAnswer: 1, 2, 10082791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39668 and 2029609.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*h**3 + 56 wrt h?\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 o when four letters picked without replacement from woowwowwwwww.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314461*d**6 - 2*d**5*r + 6*d**2*r + 17*r - 262 wrt d.\nAnswer: 37735320*d**3 - 120*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d + 20 = -77*d. Let g = 1 + -1. Put g, 2, d in descending order.\nAnswer: d, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 + 10*n + 7. Let j be i(-1). Solve j*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -345 + 4?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58827.746005 - 49574.5393009. Let s = -9299.2067 + g. Let q = s + 46. Round q to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.255 - -0.22. Let w = -3054 + 3053.96423. Let g = c - w. Round g to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64100 - 1246?\nAnswer: -65346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m. Suppose m*g = 3*g - 30. What is the smallest common multiple of (-38)\/(-5) + 4\/g and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 987 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n - 6. Let z be r(7). Suppose 0 = u + u - 5*w + 25, -z = -u - 3*w. What is the third smallest value in -1, u, 2\/9, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(3\/8))**20\/(h**(-3)\/(h*h**7))**(-4) assuming h is positive.\nAnswer: h**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111375 <= 111375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-1)\/(-21)). Let k(l) = -l**3 + 7*l**2 + 4*l - 1. What are the prime factors of k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289 + 833. 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: Evaluate (5\/(-42))\/5 - 8\/56.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppffpfpfpfppfffpf. Give prob of picking 2 f.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (14*45\/105)\/((-2)\/4)*559\/(-172)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + u**3 + 4 - 3 to a + k*u**2 + f*u**3 + z*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32385595 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.965 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 19128\/92 - ((-16)\/184 - 0).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*p - 33, -p + 2*p = -5*x - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 18 + 1 + 8 + 9*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 838249*b + 36. Determine r(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 9*s**2 - 4. Let n = -19 + 28. Calculate v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24394*x**4 - 12*x**2 + 78427*x wrt x.\nAnswer: 292728*x**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22332121202122 - -11?\nAnswer: -22332121202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1853, 29, 2, -1, -6 in ascending order.\nAnswer: -1853, -6, -1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 646867 - 646869.159256. Let h = 2.16 + i. Round h to 5 dps.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.0692 (b) -1 (c) 4 (d) -1\/6 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 27225372 and 27225374 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476320074.\nAnswer: 2, 3, 179, 443501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53356?\nAnswer: 2, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 148?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612501 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**11*d)\/d*d*d*d*d**(-1)*d)\/(d**(6\/5)*d**(-3\/7)) assuming d is positive.\nAnswer: d**(463\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3222443, 6444543, 9666645, 12888749, 16110855, 19332963, 22555073?\nAnswer: 25777185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 52 + 467 = -160 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - -2) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 - 3 - (6 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times 5?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 18 = -5*v, -13 = -3*v - 4*y + 3*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2165509 and -2165509 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/26135 and -181\/156810.\nAnswer: 156810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 421.7143l?\nAnswer: 421714.3","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028887 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 + 61. Let k be (-6)\/27 - f\/27. Sort k, -4, -2 in increasing order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 - r**2 - 13*r + 14. Let j be i(1). Let g(o) be the third derivative of 6*o**2 + 0*o + 1\/12*o**3 + 0 + 0*o**j - 1\/120*o**5. Factor g(z).\nAnswer: -(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209588, -1676734, -5658984, -13413890, -26199004, -45271878, -71890064, -107311114?\nAnswer: -152792580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037489 to 7 decimal places.\nAnswer: -0.0000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, n: 9}. What is prob of sequence bn?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/17 and ((-31)\/(-4)*6)\/(-5).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 84*z**2 - 7*z**3 + 83*z**2. Let b be q(-1). Find the third derivative of b*a - 6*a + 2*a**5 + 2*a - 8*a**2 wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(605))**2 + (3 + sqrt(605))**2 - -1*(sqrt(30) - (sqrt(120) + (sqrt(120) - (sqrt(120) - sqrt(120)*-4) - sqrt(120))))\/sqrt(6).\nAnswer: 141*sqrt(5) + 1228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let n = x - -3. Let y = 11 - n. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:44 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = 43*c. Solve c = -17*j + 37 + 82 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 + 3*w**2. Let l(b) = -b**2 + 5*b. Let f(i) = i**2 - 6*i. Let p(h) = -5*f(h) - 6*l(h). What is g(p(s))?\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(9\/7))\/((y\/((y*y\/(y*(y\/(y**(5\/6)\/y*y)*y)\/y)*y*y)\/y))\/y) assuming y is positive.\nAnswer: y**(65\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11*(r\/r**(-6\/7))\/r assuming r is positive.\nAnswer: r**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 16*b - 45 = -c + 19*b, -377 = 19*c - 4*b for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 574*t**2 - 4599*t + 264. Determine u(8).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3540 - -3634. Let z = 28 + -20. Calculate the remainder when p is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 4*g**2 - 1. Let f be s(-4). Let u = -28 + 38. Let c be 70\/(-28)*(-3)\/u*-4. Sort 5, f, c in decreasing order.\nAnswer: 5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43814080*h*j*m - 4*h*j - 11*h*m - 318*h + j - 3695*m wrt j.\nAnswer: -43814080*h*m - 4*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269 - 422 = -19*k. Let b = -76 + k. Solve -3*n + 50 = -b*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 times 840\nAnswer: -63.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 25, 23, 13, -5, -31, -65?\n\"Answer: -4*m**2 + 18*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m**3 - 124892*m**2 + 254362432*m - 124543235840 = 0.\nAnswer: 6430\/9, 3112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8614593.\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/((-56)\/(-49)) + 3853\/1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 424 = -4*m + 492, 2*m + 5*t = 458. Which is bigger: 220 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 60*q**2 - 39*q + 74. What is w(-29)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/28*(-56)\/(-12). Let j be (18\/m)\/(9\/12). Suppose 4*f + 4 = 6*f. Solve g - j = f*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*a - 6)*(-2 + 1 + 2)*(3*a - a + 2*a + a - 3*a + 0*a + (2*a - 2*a + 2*a)*(0 - 2 + 0))*(-57 + 32 + 13*a + 27).\nAnswer: 182*a**3 + 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = -144. Let s be 10*(g\/20)\/(-1). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*d + 13002, -3*d + 4*d + 5201 = 2*r. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 - 2*d + 2. Let r be z(-2). Let o = -1 + 0. Let u = 8647 - 8646.5. Which is the closest to 0? (a) u (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10917.9 from -6761.78447.\nAnswer: -17679.68447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 208. Let h(m) = -2*m. Determine r(h(o)).\nAnswer: -2*o + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*l**3 - 4*l**2 - 4 + 24*l**4 - 483*l**3 - 2*l + 972*l**3 to the form c*l**2 + b*l + k*l**4 + h + j*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1740025 or 1740033?\nAnswer: 1740033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/57*(-1)\/52*2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4048, -16.7, 3, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 + 14*b**2 - 36*b - 4. Give s(4).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + k - 2*k**2 - 355*k**3 - 4 + 361*k**3)*(4*k**2 - k**2 - 2*k**2).\nAnswer: 6*k**5 - 2*k**4 + k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 186615338 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y + 1. Let i be t(-1). Let d = i - -11. Let k = d + -3. Solve -2*j = 4*n - 4, -2*n + 3*j + 2*j + 26 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (198\/12 + -9)*2. Let d be (2\/(-4))\/(2\/(-24)). What is the highest common factor of y and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00411702 rounded to 5 decimal places?\nAnswer: 0.00412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164874671 is divided by 3216.\nAnswer: 3215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -5*h + 0*h**6 + 0*h**5 + 7\/6*h**3 + 1\/42*h**7 + 0*h**4 + 0 + 0*h**2. What is the second derivative of p(n) wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272301 divided by 139?\nAnswer: -1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11429400 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + -4 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:13 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + 32\/(-14). Let i be 2 - 1*l\/(-2). Let o = i + 1. Solve 3*u + u - o*y = 18, 16 = 3*u - 2*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*m**2*r + 23080*m**2 + m*r**2 + 11*m*r - r**2 - 57 wrt r.\nAnswer: -80*m**2 + 2*m*r + 11*m - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 g when four letters picked without replacement from {i: 2, g: 4, o: 1, t: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1534 and -1.8.\nAnswer: -2.9534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372608022*f**4 - 19043318*f**2 - f + 2.\nAnswer: -8942592528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 30955626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21642122 by -2.\nAnswer: -10821061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v**2 + 17*v**2 + 6*v**4 + (-2*v**3 + 3 - 3)*(4 - 2*v - 4))*(3 - 4 - 1).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*n - 53 = -189, 0*g = g + 3*n + 17 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c - 118. Calculate x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 41 - 61 + z**2)*(24*z - 42*z - 28*z) as h + k*z**2 + b*z + w*z**3 and give b.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 260506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27024449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 620613919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35151837 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1111*-5841.\nAnswer: 6489351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 6, -9, -30, -57, -90, -129?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2, -13, 2\/15, -1\/119 in ascending order.\nAnswer: -13, -2, -2\/7, -1\/119, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40187402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = 3*o - 17461, -f - 11629 = -2*o. Let h = -2683 + o. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 471. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*n**2 - 327*n**2 - 468*n**2 - 241*n**2.\nAnswer: -778*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149 or 148?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -36691 = -35653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 48*g**2 - g - 59. What is k(-24)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.20852374 + -49.209. Round p to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 2*y - 14. Let b be m(5). Suppose 2*q = 11*q. What is the closest to q in b, 3\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59.44041 grams?\nAnswer: 59440.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 375*l**4 - 3825*l**3 + 4230*l**2 - 1644*l + 216 = 0.\nAnswer: 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 6, d: 6}. What is prob of picking 2 x and 2 d?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3702 = 2*n + 67653, -2*n = -5*z + 319747. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:47 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12\/5, 5\/2, 6\/169 in ascending order.\nAnswer: -1, 6\/169, 12\/5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iui when three letters picked without replacement from iiuq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0 - 2\/3*k**3 - 25927\/120*k**6 - k**2 + 0*k - 1\/24*k**4 + 1\/15*k**5. Let o be c(3). Round o to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 5*f + 4*f**3 + 0 + f - 1 - 5*f to the form m*f**3 + u*f + t*f**2 + y + o*f**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23849 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 444272\/5 or 88855?\nAnswer: 88855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 4. What is l(12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.77175ml?\nAnswer: 0.00377175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 + 32*o - 34. Let l(r) = -5*r - 2. Give a(z) + 6*l(z).\nAnswer: -7*z**2 + 2*z - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/3209 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcoepodozdcd. Give prob of picking 1 d and 1 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010931295422 rounded to seven decimal places?\nAnswer: -0.0010931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 130*f - 9189. Give p(69).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/163751 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/(-68))\/(-4) + (-2)\/17. Factor x*l**2 + 0*l**4 + 0 + 0*l + 2\/9*l**3 - 2\/9*l**5.\nAnswer: -2*l**3*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79, -153, -225, -295, -363, -429, -493?\n\"Answer: z**2 - 77*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*q - 35, -75*q + 71*q + 19 = -b. Let 0*i + 0*i**q + 0 + 2\/13*i**5 - 4\/13*i**2 - 6\/13*i**3 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*6\/9)\/(8\/(-18)). Suppose f*n = n + s + 191, 3*s + 103 = n. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*u = -197*u - 4502820. Is u a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snre when four letters picked without replacement from nszer.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 45 = -4*n, 0 = 3*j + 2*j + 5*n + 40. Is j <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 3*x**2 - 2*x**2. Let m(w) = 5*w + 3. Let h be (-3 - 7\/(-2))\/(3\/(-24)). Let z(c) = 6*c + 4. Let j(b) = h*m(b) + 3*z(b). What is q(j(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 23*q**3 + 6*q**2 - 6*q + 6. Let h(o) = 1450*o**3 + 377*o**2 - 377*o + 377. Give 377*f(c) - 6*h(c).\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from xwojwxq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 2*p. Let o(c) = 37*c**3 - 2*c**2 - 2*c + 3. What is the remainder when o(1) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -246*l + 424. Let t(o) = -295*o + 423. Let i(k) = -6*r(k) + 5*t(k). Let a(p) = 3*p**2. Determine a(i(j)).\nAnswer: 3*j**2 - 2574*j + 552123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*q - 612 = 0, 3*a = -7*q + 2*q + 1840. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 1\/24*k**4 - 3\/2*k**3 + 0*k + 0 + 11*k**2. Give r(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*t - 21*t + 8*t to the form a + m*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*h - 5*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and -2377.1306?\nAnswer: 2378.2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -1\/3, 0.2, 5 in ascending order.\nAnswer: -1\/3, -1\/10, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40744?\nAnswer: 2, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 29518*c + 59141. Determine l(-2).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, x: 3, u: 1}. Give prob of picking 1 l, 2 x, and 1 u.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*20\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 19*p**3 - 11*p**3 - p**4 - 4*p - 7*p**3 - 2*p in the form x*p**4 + y*p + h*p**2 + n*p**3 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 5470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16586 is divided by 353.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = p + 3, -2*b + 6 = -3*p + 7*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:18 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -42, 0 in increasing order.\nAnswer: -42, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2*j + 12)*(33*j**2 - 227*j - 7*j**2 + 226*j).\nAnswer: -52*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -5, -2 in decreasing order.\nAnswer: -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 6. Let k be 9\/o*-1*2. Let g = k + 11. Which is smaller: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*80\/48?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/3 + 20612*m\/3 + 53106818\/3 = 0.\nAnswer: -5153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*n = -17908 - 34364 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-5))\/(8\/(192\/(-45)))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26699, -53363, -79981, -106547, -133055?\n\"Answer: d**3 + 17*d**2 - 26722*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21814?\nAnswer: 2, 13, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/380*(-564)\/423.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -220? (a) -4\/5 (b) 5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - 141. Let c = t - -147. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one quarters of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15483 + 23378. Let v be 81\/(-1*(-2)\/146). Suppose f = -3*x - f + v, i = 4*x - f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 + 4054380*j + 4054383 = 0. What is j?\nAnswer: -1, 1351461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*v**10*(((v\/(v\/(v\/(v\/v**2))))\/v)\/v*v*v)\/(v*v\/(v*v**(-8))) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3321 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 2. Let z = 0.9 + -4.9. Let r = 3.5 + z. Put -1\/3, b, r in descending order.\nAnswer: b, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away 3209634.58?\nAnswer: -3209649.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/12*(-108)\/(-1134)*63.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*i + 2364 + 254 + 68 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/4 + (-2)\/8. Suppose 3*w = -i + 1, -i = w - 0*i + x. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15*c**4 + 118*c**3 + 7*c + 11283. Let z(b) = -5*b**4 - 38*b**3 - 2*b - 3761. Let m(g) = -9*n(g) - 28*z(g). Differentiate m(o) wrt o.\nAnswer: 20*o**3 + 6*o**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8078006 millilitres in litres?\nAnswer: 0.0008078006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 0*w = -13*w. Solve w = 3*x + 5*y - 13, 5*x = -3*y + y - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*h**2 + 190*h + 179*h**3 - 54*h**3 - 190*h wrt h?\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6827 * -354.5\nAnswer: 596.51715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 74928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3143*x + 59 = -3146*x + 2*g, 3*g - 78 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 802397, 802318, 802105, 801692, 801013?\n\"Answer: -11*t**3 - t**2 + t + 802408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33\/(-6) + 3)*-2. What is the second derivative of -3*b**2 + 1 + 3 - n*b - 4 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6187, 6219, 6251, 6283, 6315, 6347?\nAnswer: 6379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9074539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 11 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3*q**2 - 186794081*o**3*q - 3*o**2*q**2 + 3*o**2*q - 13*o**2 + 2*q**2 - 3044*q - 1 wrt o.\nAnswer: -6*q**2 - 1120764486*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 232*h - 33640.\nAnswer: -2*(h - 290)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k*l**2*r - 237*k*l**2 - k*l*r + l**2*r with respect to r.\nAnswer: 8*k*l**2 - k*l + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a + 7. Let r(j) = 4*j - 7. Determine -6*r(o) - 5*v(o).\nAnswer: o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 4 - -1) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x**(1\/8)\/x)\/x)\/(x*x**(2\/11)\/x))**47)**(-48\/5) assuming x is positive.\nAnswer: x**(26226\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/4)\/((-7)\/4). What is the closest to 3 in 1\/6, -2, l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0 - 5 - -5. Let v(h) = 2*h**2 + 4*h - 4*h - x*h**2. Let c(p) = -p**2. Determine v(c(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 5, s: 2}. Give prob of sequence ssd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1716 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 + 7 + -6)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b54 - -5?\nAnswer: 3b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-12) + 4 + 4407\/(-198). Let g = m - -18. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + (sqrt(220) - (sqrt(220) + 1*2*sqrt(220) + sqrt(220))))\/(sqrt(88)\/(-1*sqrt(56)\/sqrt(7)))*-1.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-37)\/5)\/(32\/96))\/((-6)\/(-10))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-3)*12\/10. Solve o = -4*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104*u - 537*u - 17728 = 13*u for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421*(-384)\/12544*2\/3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41919952.\nAnswer: 2, 2619997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 3*d - 27 = -5*n, 3 = 3*n + 3*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 12363*a**3 + 12357*a**2 - 12363*a - 12360 = 0. What is a?\nAnswer: -4120, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = -5261 + 19451. Let z = j - 646. Let s(n) = 16*n**3 + 2*n**2 + 2*n + 1. Give s(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13266226 + -43357774. Round t to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -328, -482, -636, -790, -944?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*1*1)\/(sqrt(125)*-2 + sqrt(80)*-2).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(-756) - (6\/63)\/(6\/18).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = a, 8 = -2*m - a. Let t be m\/(-8)*(-128)\/(-24). List the prime factors of 188\/16 + t\/16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251425 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 5*y**2 + 33*y - 227. Let s(d) = 1336 + 2*d**2 - 3*d - d**3 - 1223 + 0*d**3 - 14*d. Let c(j) = -2*n(j) - 5*s(j). Differentiate c(f) wrt f.\nAnswer: 3*f**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*b**2 - 379*b**2 - 464*b**2 - 169*b**2 - 9*b**2 - 101*b**2.\nAnswer: -1224*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-456)\/(-6783)*17)\/((-20)\/(-7)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 790 - 1469. Let h = d - -720. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 248 = -q, -3*c - 8*q = -11*q - 381. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 10. Let j be b(8). Suppose j*z + 2*z - 44 = -4*i, 3*i = z - 15. Calculate the remainder when z is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-14)*t))\/t**(3\/2))\/(t**(-13))**(26\/7) assuming t is positive.\nAnswer: t**(837\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 1. Let v be i(-2). Put -1\/6, 2, v in decreasing order.\nAnswer: 2, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -1299\nAnswer: -46\/1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let q(l) = -3*l**x - 5*l**2 + 3*l**2. Let i(o) = -3*o**2 + o**2 + 3*o**2. Calculate i(q(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 + 9*m + 16. Let y(f) = 4*f - 3. Let r be y(-1). Let l be q(r). Find the third derivative of -4 - 8 + 12 - 6*h**l + 18*h**3 wrt h.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*k - 4, -k - 5*b - 4 = 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3*k**2 + 1359*f**3*k - 8091*f*k - 2*k**2 wrt f?\nAnswer: -42*f*k**2 + 8154*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.20748 + 0.09252. Let u = -14\/5 + 13\/10. Let f = -4 - -8. Which is the nearest to -1? (a) x (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-6)\/(10 - 4)). Which is greater: -14\/19 or p?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 9*x + 3*a + 12 = 0, -5*x + 5*a = -30 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 - 2*l**2 - 2*l - 1. Let t be b(-1). Suppose 2*c - 90 - 292 = -3*w, -t*c = -5*w - 382. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5 + sqrt(108) + -1 - sqrt(108)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 38*k**2 + 13*k - 244. Let j be ((-423)\/2538)\/(2\/(-228)). Determine y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*h - 19876211 - 23123799, -4*q + 3*h + 86000015 = 0. Suppose 3*u + u = 0, -5*k = 4*u + q. Round k to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**2 - 4*v - 3. Let w be c(-2). Let f = 41 + w. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -631 - -684 - (112 + -7).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - d = 3, 3*g - 1 = 4*d + 9. Let q be ((-3)\/g)\/(-3)*120. Let m = -34 + q. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -98. Let 6\/5 - 9\/5*d + 39\/5*d**3 + 6\/5*d**5 - 3*d**2 - 27\/5*d**q = 0. What is d?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 9*r**2 - 6*r**2 to the form a*r**2 + o + h*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -2. Solve 0 = 4*p + f - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2, 27, 1, 8 in decreasing order.\nAnswer: 27, 8, 1, -2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 48. Let o be (-4)\/d*-1*-9. Let y be 1*(29 - (-2 - o)). Calculate the greatest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5030718 divided by -718674.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -23. Solve 3*g - y*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106066, 212151, 318236, 424321, 530406, 636491?\nAnswer: 742576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/30*(-9)\/39 + 564\/(-52). Sort -7, 3, 0, v.\nAnswer: v, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.003623 - 7.30348. Let p = 0.571 - 29.271. Let v = p + m. What is v rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -14 - 1) + -3 - -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002080314966 to 6 decimal places.\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2804?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 25*q - 1. Let m be s(5). Suppose -2*h + 5*h = -2*t - 116, -4*t - 3*h = 238. Let z = m - t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/10 + 22\/(-55) - 109. Let c = x - -134. Calculate the highest common factor of 435 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 253 + -266 + -1 + 6 + 1 + -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 20 = -5*c, 4*c + 45 = -j - 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:18 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (178*q + 171*q - 1346 - 520*q + 169*q)*(1 - 2 + 3) as u + z*q and give u.\nAnswer: -2692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/280)\/((-18135)\/325 - -56).\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157.1 and 114.\nAnswer: -17909.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 10*b + 1. Let u(a) = 6433*a**2 - 58*a - 708. Let j(v) = 6*o(v) + u(v). Find the second derivative of j(q) wrt q.\nAnswer: 12854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63792592*z**3 + 10160064?\nAnswer: 191377776*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gma when three letters picked without replacement from {n: 1, a: 2, m: 1, o: 2, g: 1, y: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(14\/7). Suppose p = -0*w - 2*w - 6. Let b(z) be the second derivative of -z**3\/6 - z**2\/2 + 2*z. What is b(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 49291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/3, 1\/7, 18010, -0.7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/20 - (-68)\/144. What is the closest to a in 3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 6\/5, -10, 0.4, -1.\nAnswer: -10, -1, -3\/7, 0.4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepsyyypppipdys. What is prob of picking 1 p and 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -930613436.\nAnswer: -930613430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49965 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23 + (4 + -48 - -20). Sort w, 1.9, 4, -0.4, 3.\nAnswer: w, -0.4, 1.9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -5 - -1)*((-2)\/(-3) - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l + 2202. Calculate c(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b**2 + 281*b + 789. What is l(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/7 - 2*d**3 + 36*d**2\/7 - 40*d\/7 + 16\/7 = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379417 is divided by 2328.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35110356?\nAnswer: 2, 3, 1373, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**3\/6 - 4*f**2 - 3*f - 8. Let q(m) be the first derivative of d(m). What is the first derivative of q(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**3 - 2*s**2 + 5*s - 1. Let r(q) = 13*q**3 + 4*q**2 - 9*q + 3. Let m(f) = -3*r(f) - 5*t(f). Let u(y) = y**3 - y**2 + y + 1. Give m(j) - 2*u(j).\nAnswer: -j**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 8*r + r)*(0 - 3 + 1)*(-5*r - 4*r + 3*r).\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67042, -134080, -201118?\n\"Answer: -67038*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -331 - -355. Let h be (j\/126)\/(16\/24). What is the nearest to 38 in -1, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27811 - -27810. Let w = 0.9 + 3.1. Let v = 0 - w. Which is the nearest to 2? (a) t (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zggg. What is prob of sequence gz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5005 and 1859?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 22 = -4*k, -32 = -k + 4*k - 4*o. Let i be ((-16)\/k)\/((-4)\/(-6)). Suppose -4*j + i = -3*m, -6 = -3*j - 0*j + m. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6000 and 65992\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1, -0.12, 1\/2, -1\/24, 1\/3, -0.027?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-3\/5)*(h\/h**(-2\/5))**(-44) assuming h is positive.\nAnswer: h**(-308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -973.141 times 0.01\nAnswer: -9.73141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -26*s - 4. Let p be r(-5). What is the highest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - 4)*(-1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-16) + (-54)\/(-12) - 33\/(-2). Let v be (0 - 46)\/(-2*1). Is v greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + sqrt(304))**2 - (0 + (sqrt(19) - (sqrt(19) + 0)))).\nAnswer: -960 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-seven fifths of a micrometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:08 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3200 and 1408.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 564238.8 to the nearest one thousand.\nAnswer: 564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23691 = -11*i + 23735 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*b - 9, -3 - 4 = -3*y - b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 7*o**2 + o + 8. Let r(s) = s**3 - s - 2. Let d(c) = -b(c) + 2*r(c). What is d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.1 (c) 39 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/7)\/(-12)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11451382 * 0.02\nAnswer: 229027.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/47064 and 131\/16056.\nAnswer: 31485816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 6) to base 11.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (94 - (5 - 8 - -10)) + (23 - 14).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*q + 288 = -j, -144 = j + 4*q. Let r be ((-2)\/3)\/(32\/j). Suppose 0 = -5*w + 2*h - 3, 7*w - 2*w - 1 = h. What is the smallest value in 2, -5, w, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*p + 3 + (-2 - 3 + 3)*(-6*p + p + p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6481 (base 12) in base 11?\nAnswer: -8328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + 5)\/(2\/3*-3). Let x(r) = 3*r**2 + r + 7. What are the prime factors of x(o)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/1119, -13\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m - 4212988 - 4628245 = -1173175. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -0.2 (c) 47.96 (d) 0.4 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62818073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*t + 108. Calculate the remainder when 38 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2704, -2846, -2988, -3130?\n\"Answer: -142*h - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s + 0*s**2 + 2\/3*s**3 + 2. Let t(p) = 2 - p + 0 - 2. Calculate t(m(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let a = 416.1 + -380. Let d = 36 - a. What is the closest to -2 in d, i, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/505, 0.3, 0, -7990, -2\/3, 5, 0.1?\nAnswer: -7990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12437 - -12438. Solve 5*l + 29 = -2*a, -3*a = -7*l + 6*l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(2299) - (sqrt(2299) + 0))*6 + (sqrt(2299)*2 - sqrt(2299)) + 3)*1 + 2)**2.\nAnswer: 220*sqrt(19) + 2399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a - 2. Let w(z) be the first derivative of z**3\/3 - 6*z**2 - 3*z + 8. Let h(r) = -5*p(r) + 4*w(r). Let h(b) = 0. What is b?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 3}. Give prob of sequence ggp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9 + -3)\/12)\/(2\/10) + 1. Sort -1\/193, q, -1.\nAnswer: q, -1, -1\/193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0. Let w = -7 - -19. What is the biggest value in w, 1, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 92.78 (b) 2\/7 (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25670 and 32113.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215824, 214927, 214030, 213133?\nAnswer: 212236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 11*l - 2. Let m be y(5). Suppose 4*f = m + 28. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, r: 1, a: 4, j: 6}. What is prob of sequence sa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215522 = 3*x + 57101. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 15*m. What is the nearest to m in -3, 0.06, 14, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glbg when four letters picked without replacement from {b: 3, l: 2, g: 2, q: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from iiciccccccoiccici.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**4*p*p*p)\/(p**3\/p))\/((((p\/(p**(-4\/7)\/p))\/p)\/p)\/p**(4\/3)))**(6\/11) assuming p is positive.\nAnswer: p**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*f**3*k**2 + 18*f**2 - 2*f - 2*k**2 wrt f.\nAnswer: 1512*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + 3.1. Let j = -8 + k. Let v = 12.92 - 10.92. What is the nearest to 2 in 0.4, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 552 (base 7) to base 12\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = -8. Suppose 2*z = 4*v + 15 - 79, 0 = -v - 5*z + 27. Let t be v\/34 + 2\/4. Sort t, -5, j in decreasing order.\nAnswer: t, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660132252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/100, 1\/4, 37 in descending order.\nAnswer: 37, 1\/4, 3\/100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-3)\/24). Let t(y) = y**2 + 7*y + 7. Let x be t(4). Let o = x - 55. Is g smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3191 - -3191.01562. Round n to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124089*p - 78014?\nAnswer: -124089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 1*sqrt(1088)) - (1*sqrt(153)*1)\/sqrt(9)*-4.\nAnswer: 8 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f**2 - 3*f - 3. List the prime factors of s(3).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from kuajz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1433151 and 150841?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*x**3 + 71*x + 2.\nAnswer: -624*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmmqzmmqmmmmqmqzqqm. Give prob of picking 3 m and 1 q.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 138182192*p**4 - 95481850.\nAnswer: 552728768*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2418 + -1114. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 193\/4. Let x = -0.07 + 3.07. Let f = -2 + x. What is the closest to j in f, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 93.64431 millimeters?\nAnswer: 0.00009364431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.37 and -36?\nAnswer: 13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8723988 divided by 10652\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1300) + 0 - sqrt(1300))*2 + (-6*2*sqrt(1300))**2)*3.\nAnswer: 561599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4850 + 4854. What is the nearest to 0.2 in a, -1, 1\/5, -1\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 17 = 3*p. Let j = 14 - p. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -0.4. Let t = -24 + 25. Let p = t - k. Which is bigger: p or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(1\/(-3)*-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1110110010 (base 2) to base 10\nAnswer: -946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 11 = 69. Let w be 16\/40 - t\/10. Find the third derivative of -w*k**2 - 13*k**4 - 26*k**4 - 5*k**3 + 5*k**3 wrt k.\nAnswer: -936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = 3. Suppose k = -3*z - 6 + 9. Let o be z - ((-1)\/(-3) + 0)*-3. Solve -d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320468\/52 - 3\/78*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 4*c - 6*n + 7*n, n = 3*c - 476. Calculate the least common multiple of c and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 205 (c) -628 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*u - u - 26, 0 = -5*t - 4*u + 43. Let c(f) = f + 2. Let l be c(5). Solve t = 2*v - 2*q - l, 4 = -q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20939, 83626, 188113, 334406, 522511, 752434?\n\"Answer: i**3 + 20894*i**2 - 2*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r. Suppose 7 = z + 1. Let o be ((-4)\/(-6))\/(z\/18). Let u(c) = 0*c**2 + 0*c**2 + 7*c**o - 3*c**2. Give u(v(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - 8. Let y(w) = -5*w + 7. Let d(p) = 6*p - 8. Let b(z) = 6*d(z) + 7*y(z). Let o be b(9). Calculate the highest common divisor of q and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 3*u - 3*u)*((-1 + 5 - 2)*(-u - 2*u + u) + (1 - 2 + 0)*(4*u + 3*u - 6*u)) to the form p*u**3 + t*u + s*u**2 + w and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + 1 + -5)**2.\nAnswer: -160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 34361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 8. Let p(h) = -h + 6. Let v be p(0). Is r(v) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 7*y + 5. Determine x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111764.\nAnswer: 2, 7, 17, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 11*q - 8*q)*(4 + 2 - 3)*(3*q + 8*q**2 - 3*q) + q - q - 2*q**3.\nAnswer: -74*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/54*9*1*(-18)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 12*j**2 - 12*j - 11. Let i be o(-11). Suppose i*l + 14 = 2*l. Is 7 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = -a + 3*u, -26 = -5*a - 3*u. Suppose -2*z - 2*z + 12 = a*s, 5*z - 3*s = 7. Let f(w) = 12*w**3 - w**2 - 5*w + 5. Does 22 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58201212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from uuuuuuuuuluuuuuuuuu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f**2 + f)*((-2*f - 3*f + 4*f)*(-23*f + 39*f**2 + 23*f) - 2 + 2*f**3 + 2).\nAnswer: -74*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -19*d**5\/15 + 22*d**2. Let u(c) = -c**2. Give w(u(q)).\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 582 = 35*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 2*i + 7. Let a(y) = -y**2 - 1. Let w(n) = -6*a(n) - h(n). Let v be w(1). Suppose 3*b + 372 = 5*l, -b + v*b = -8. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2746104765 and 2.696.\nAnswer: -2746104762.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a0 + 20a583?\nAnswer: 210073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:35 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -453 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20742475877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5))**(-18)\/(k**11*k*k*k\/(k**(2\/5)*k)*k) assuming k is positive.\nAnswer: k**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 5*i**2 - 10*i**2 + 5*i to the form n*i**2 + q + v*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*4\/(-4)*83. Suppose g - 3*b - z = 0, b = -g - 0*b + 91. Calculate the remainder when g is divided by (-12 + -1 - -3)\/(4\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(45) + 2 - (-2 + sqrt(45) + -5) - (sqrt(45) + ((sqrt(45) - (sqrt(180)\/sqrt(4) + -5) - sqrt(45)) + sqrt(45))**2 - (1*sqrt(1125))**2)).\nAnswer: -12*sqrt(5) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(20*s**2 + s**2 - 3*s**2)*(-112*s**2 + 53*s**2 - 32*s**2).\nAnswer: -4914*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/37092?\nAnswer: -1\/37092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2*t - 3. Let g be k(-4). Let z(d) = 698*d - 4882. Let u be z(7). Solve u*j + 18 = -h, -2*h - g = -1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = s. Let y = -0.101 - -0.151. Which is the smallest value? (a) -4 (b) s (c) 5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -78. Let m = 41.5 + h. Let i = -13.2 + m. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 - 3*d**2 + 2. Let r be i(2). Let j(p) = 4*p**3 + 16*p**2 - 16*p + 22. Let f be j(-5). Calculate the greatest common factor of f and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -o + x, 4 = 3*o + x. Suppose m = 4*v + 5 - 0, m = -o*v + 26. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 14. Let u be c(7). Let x(l) = -l**2 + 6*l + 10. Let d be x(u). Suppose 3*g = h + 4*h + 256, 4*h = -d*g + 211. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = 169*f - 132*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/6)*h**(1\/4)*h)\/((h*h**(1\/11)\/h)\/h**(4\/5)) assuming h is positive.\nAnswer: h**(743\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -47. Solve 3*x - 7 - 2 = v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86675 is divided by 28862.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97850061?\nAnswer: 3, 10872229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 631 + 631 - w**2 - 2*w**3.\nAnswer: -w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 329 = -293. Let t(i) = -19*i + 175. Let h be t(j). Solve h*s + w + 9 = 4*w, 4*s + 15 = 5*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + s = -5, h + s = 2*s - 1. Suppose -2*b - 240 = -4*y - y, y - 35 = h*b. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23304*k + 116515. What is t(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 244.1 and -3.\nAnswer: 241.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 350 = 3*v, 3*v - 474*d - 310 = -476*d. Suppose -4*a = 4 - 44. Calculate the highest common factor of a and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-8770)\/40*-4 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/950*(-65)\/78?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3. Let y(c) = -10. Let u(t) = -7*f(t) + 2*y(t). Let z(r) = r**2 + 1. Determine 3*u(l) - 3*z(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 62 = -17*y, -23 = 263*s - 268*s + 2*y - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -28. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, f: 6}. What is prob of sequence fn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 5 + -9 - 1)*-12. Let s = -58 - -190. Calculate the greatest common divisor of s and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/581698000 and -89\/174509400?\nAnswer: 1745094000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38949 to three dps.\nAnswer: -0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m - 10 = 0. Let w be -1*(0 - 1)*-1 - -91. What is the greatest common divisor of m and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 435960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:36 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13241 is divided by 1472.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 - 2834*p**2\/5 + 11357*p\/5 + 2838.\nAnswer: -(p - 5)*(p + 1)*(p + 2838)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/999*12\/(-156).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32615 (base 10) to base 8.\nAnswer: 77547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - t)*(2*t**2 - 2*t**2 + t**2) - 12*t**2 + 26*t**2 + t**3 + 0*t**3 + (-1 + 1 - 2*t)*(t**2 - 3 + 3).\nAnswer: t**3 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 6*j + 72 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 179 = 3*v, 0 = 5*z + 4*v - v - 217. Solve 0 = 7*a - 65 + z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2 - (2 + 3\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 21*j - 12817. Suppose -4*i - 395 = -j. What are the prime factors of i?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 715 - 715.134. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023741.21888 minus -0.1?\nAnswer: -2023741.11888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/7 (b) -1 (c) 5 (d) -2.8 (e) -5 (f) 155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(1\/(-204)). Suppose -5*d + 102 = 3*z - 27, -2*z + 2*d + v = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 1144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m + 10*m + 75*m - 4*m - 7*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5284 + 5402. What is the remainder when 3181 is divided by w?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/275 - 544\/825. Let l be (-6)\/15*(-1 - 59). Suppose 17*g + l = 13*g. Which is the biggest value? (a) w (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000009873 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -5*v, v - 15 = -5*c - 1. Suppose c*j - 20 = -0. Solve 0*f = -5*f - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**2\/2 + 2*t + 239. Let k(i) = 4*i**3 - i**2 + 3*i - 3. Let c be k(2). Suppose 4*z = -c + 11. What is n(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3773 + -3779. Let l(n) = -n**2 - 26*n - 123. What is l(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pop when three letters picked without replacement from poomo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 + 2*q**2)*(169 + 19*q - 169) + 7*q**2 + 66*q**3 - 580356 + 580356.\nAnswer: 104*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*(sqrt(45) + -3 + sqrt(45)))**2 + 3)*1.\nAnswer: -3036 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + -41. Suppose -11*d - 1177 = -220. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -308562\nAnswer: -40\/154281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x + 4*a = 39*x - 66476, x = 4*a + 16613. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 34. Let y be (-15)\/(-21) + -3 + 2. Suppose -1 = f + 1. Which is the third biggest value? (a) y (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15 - (-136)\/(-30))\/(-44 + 52360\/1188).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:04 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 11 = 237*r - 236*r, 4*z - r = 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -18 + (-58)\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 3*k**2. Let b be 9\/6*(0 + 12\/9). Suppose -b*q = 6, 0*g + 3*g = -q + 21. Let h(y) = 11*y**3 - 8*y**2. Give g*m(x) - 3*h(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 3*z**2 + 5. Suppose -42 = 4*i - 6*i. Let q be (3 + i)\/(-4) - -3. Let o be a(q). Sort o, -5, -1.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1813*t = -58*h - 1808*t + 145, -2*h - 2*h + 145 = h - 5*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 56*l - 160.\nAnswer: -4*(l - 10)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:00 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let q = -3.73 - -0.73. Let j = 0.1 - 0.2. What is the closest to j in 0, v, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, 1 in ascending order.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/102 and -73\/4692.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooioi. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.040109464 from 0.1095.\nAnswer: 0.069390536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 29*v + 16. Determine c(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 24004.\nAnswer: 216036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-858)\/13*(-5)\/(-30). Let p(k) = -20*k**2 - 221*k + 2. Determine p(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 - 3*i. Let s(b) = -9*b**2 - 4*b + 1. Give -6*f(l) + 5*s(l).\nAnswer: 3*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 3*t**2 + 0)*(2 - 2 + 3 + (5 - 4 - 2)*(1 + 1 - 4) + (-2 - 1 - 2)*(-6 + 1 - 3)).\nAnswer: -135*t**2 + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/2 + a. Let w(g) = 321*g**2 - 145 + 145 - 308*g**2. Give j(w(k)).\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 117*b**2 + 3688*b - 4210. Calculate u(-143).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490670 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170578 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 12. Let p be d(0). Suppose 0 = -5*y + 3*y + 10. Suppose 5*k - y*v = 15 + 35, -4*k = -2*v - 30. Solve -p = 2*u - k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004327 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 861170 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -40*u**3 - 5*u + 9. Let a(k) = 10*k**3 + k - 2. Calculate 9*a(w) + 2*m(w).\nAnswer: 10*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 71. Let w = -13 + y. Suppose -2*b = -4*n - n - w, -4*b = -n - 13. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2927546 - 79485?\nAnswer: -79485.2927546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(10\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*q**2 - 11672241*b**3 - 515158*b*q**3 wrt q?\nAnswer: -2*b**3*q - 1545474*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*y + 2*y. Suppose -t - 12 = 69*s - 74*s, -3*s - 4*t = 2. Find the second derivative of -a**s - 22*a + y*a + 0*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66 - -70) + -1*7. Let u(m) = -5*m**3 + 6*m - 4. Let q(j) = -j**3 + j**2 + j - 1. Let p(w) = -3*q(w) + u(w). Calculate p(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 + 14*w + 19. Let z be y(-4). Solve -3*d = -3*v + z, -14*v = 2*d - 10*v - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + k - 2*k + 5, -5*k + 5 = 5*l. Let h(i) = 7*i - 7. Let a(c) = -7*c + 6. Let n(s) = 7*a(s) + 6*h(s). Let p(d) = d. What is l*n(g) - 6*p(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -237203.\nAnswer: 2\/237203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4886509 or 4886507?\nAnswer: 4886507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/2 + 3)\/(282\/(-423)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 266*r**2 - 77*r**2 - 4 + 125*r**2 - 1.\nAnswer: 314*r**2 + 3*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 12.4. Let c = 3.599 - y. Let a = c - -0.00100247. Round a to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*s**3 + 132 - 516 + 7*s + 1376 - 17 wrt s?\nAnswer: 72*s**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 2 + 1)**2 - sqrt(20)\/(2*sqrt(100)).\nAnswer: 659*sqrt(5)\/10 + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 50 = -2*r, -3*b + b = 2*r - 26. Suppose 2*z + z = -216. Let q = 103 + z. What is the remainder when q is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 116 = 2*h + 9, -2*h - 3*k = -101. Let d = -2578 + 2598. Suppose -7*m = d - h. Solve 4*i - 5 = m*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33014*h**2 + 33014*h**2 - 1408*h**3 + 179*h**3 - 531*h**3.\nAnswer: -1760*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7506 times -0.5\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707399, 2829697, 6366867, 11318915, 17685847?\nAnswer: 25467669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1813856081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 1568.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1089) - sqrt(1089)*2)*-3)\/(-6*-1*sqrt(300)))**2.\nAnswer: 363\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 2124 = -2052 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5 - 453*i**4 - 20301*i**3 - 228939*i**2 = 0. Calculate i.\nAnswer: -67, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven eighths of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 735349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 35 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*y + 136*y - 81 + 80 to t + s*y and give s.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(180)\/sqrt(5) + 1*sqrt(180)\/sqrt(5))\/(5*sqrt(216)\/sqrt(2)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -15, 0, 2\/15, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 3*r, 0*q - 4*q + 5 = r. Suppose o + 3*o - 84 = q. Calculate the remainder when 39 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.226 + 0.176. Let n = g + 50. Are -2\/7 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310574982138965 - -1\nAnswer: -310574982138964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23494*f + 23493*f + j - 8, -j = -5*f - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (11 - (-7 - -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211341809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((71175\/100)\/39)\/((-1)\/4).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.84 - 0.16. Let j = -0.32 - -0.02. Suppose -2*s = 5*k - 55, 0 = 11*s - 8*s - 35*k + 470. Which is the nearest to 4? (a) s (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 2 - 11 - 7*n**3 - 32.\nAnswer: -7*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 476 - 472.83. Let x = s - 0.17. Let v = -0.82 - -0.52. Sort x, v, -2\/15 in descending order.\nAnswer: x, -2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 13*i**2 + 2*i - 1. Let y be 3\/6 + 51\/6. Is q(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(204)*2 - sqrt(204))\/(-2*sqrt(972)) - (-1*sqrt(1088) + ((-2 + sqrt(17))*-3)**2).\nAnswer: -189 + 87*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/249 and 125\/48?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chc when three letters picked without replacement from whcc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = z - 5 + 5 + 17 + 3, 0 = 2*z - k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/3 - -106\/21. Let k be 3\/2 - 1\/1. Which is the closest to r? (a) k (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 0.06, -0.1, -2\/9, -0.5, 2 in ascending order.\nAnswer: -43, -0.5, -2\/9, -0.1, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 58a (base 14) to base 8\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 276*p**2 - 1056*p + 1040.\nAnswer: -4*(p - 65)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/322 and 101\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 15. Let v(r) = r**3 - r**2 + r - 2. Let n be v(0). Let i be -4*(9\/z + n). Solve i*c + 2 = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -689\/3 + 231. Suppose 0*h + 184 = -h. Let k = -3130\/17 - h. Which is the second biggest value? (a) m (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 + 3 + h + 2*h**4 - 11 + 3 + 6 - 2*h**3 to the form k*h**3 + a*h + f + x*h**2 + w*h**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130573893?\nAnswer: 3, 769, 56599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -2459245.4?\nAnswer: -2459245.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(5 + (-18)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*j = 0, 0 = -7*m + 5*m + 5*j - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*r - 582, -5*r + 1455 = -470*x + 467*x. Calculate the remainder when 2611 is divided by r.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k. Let p(y) = -70*y**2 - 1. What is s(p(r))?\nAnswer: 280*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00092518206 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -1\/3 (c) 1.4 (d) -1.378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, 68, 111, 172, 257, 372, 523, 716?\n\"Answer: n**3 + 24*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2*y*y*y**10)\/((y**(-1\/5)*y)\/y**(-36)))**(-48) assuming y is positive.\nAnswer: y**(5232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 765542 and 261.\nAnswer: 6889878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 8, 2224, 5.\nAnswer: -4, 2, 5, 8, 2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(2736\/(-15)))\/((-14)\/4*30\/(-12))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.09 * 54.\nAnswer: -58.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 10*y**2 + 5*y**2 + 6*y**2 - y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 814 + -810. Let k(y) = y**3 - 2*y**2 + 6*y - 5. Calculate k(n).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*o + 4*i, -544*o - i - 6 = -543*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*r = 2*r + 12, 0 = -5*t + 2*r + 6. Suppose -8 = 4*u, 4*c + 5*u = -t*c + 22. Suppose 2*v + v = c*v. Is v < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 414*w + 115 - 128*w + 122 + 110 - 454.\nAnswer: -542*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1966 - -64?\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:55 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6 - 0. Suppose 4 = 5*m - p. Let w = 4 - m. Is 3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from skkskkskkkskkksk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - o - 1, -2*v + 5*o + 6 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-4))\/x**(-5))\/(x**(-2\/19)\/(x\/(x**(-2\/7)*x))))**(-4) assuming x is positive.\nAnswer: x**(-1804\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 3*y - 38. Let k = 2134 + -2139. Give n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496.48ms in microseconds?\nAnswer: 2496480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 5. Let u(o) = -6*o + 8. Let f(c) = 8*d(c) - 5*u(c). Let a(s) = -3*s. What is f(a(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579 (base 12) to base 5.\nAnswer: 11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3686462435 to the nearest integer?\nAnswer: 60716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 6*u + 4. Suppose -3*l + 5*q - 25 = 0, 0*q - 3*q + 6 = 0. Let d(s) = 4*s**3 - 9*s + 6. Determine l*d(o) + 7*a(o).\nAnswer: o**3 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:07 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.082, -13.4, -7?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 3*d + 8. Let u be i(5). Let h be (-1 + 40)\/(-24 + u). Let r = 35 + h. Let o(n) = 2*n**2 + 4*n + 3. Calculate o(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13847, 22828, 31809, 40790, 49771?\n\"Answer: 8981*g + 4866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 10) + -2 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 1. Let w = 93 - 89. Let n(j) = 2*j + 2. Determine w*n(f) + 7*p(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - -7.1. Let x = -4 + c. Let p = 1.9 - x. Which is greater: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -88. Suppose 0 = p - 5*m - 9 + 27, 4*p + 12 = 5*m. Let l be 1*1\/p*0. Sort l, v, 5 in increasing order.\nAnswer: v, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1082*h**4 - 956*h**2 wrt h.\nAnswer: -25968*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/2 - 751*k**3\/2 - 17234*k**2 - 202624*k - 712320 = 0.\nAnswer: -28, -8, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))**31*(l*l**(4\/3))**(3\/4) assuming l is positive.\nAnswer: l**(255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (3 + (-5 - 48))*(-11479)\/(-26) is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 3:25 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Let u = r + -0.1. Let w = u + -0.1. Which is the third biggest value? (a) 3 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 75 - 3063d4?\nAnswer: -30635d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from nfnfnttgtfffytfktt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -54. Let d(i) = i - 2. Let x(g) = 2*g - 5. Calculate o*x(b) + 7*d(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*g + 520 = 0. What is the highest common divisor of 117 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 511431.6mm?\nAnswer: 0.5114316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 4. Let r be a(9). Suppose -11*j = -r*j + 92. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -290 in 0.3, -24, 0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1049 - -1100. Calculate the remainder when 80 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3885)\/(-18) + 3\/18. Suppose -13*j + a = -9*j. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 6*g - 5. Let l(t) = 5*t**2 - 11*t - 11. Let p(f) = 9*h(f) - 4*l(f). Let u(n) = n**2 + 5*n + 1. Let i(v) = -3*p(v) - 7*u(v). Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {i: 1, z: 6, p: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(7\/2)*k*k*k\/k**(-8\/3)*k**24*k*k*k**(-20)*k*k assuming k is positive.\nAnswer: k**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3114 divided by -5.\nAnswer: -3114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(-2\/3))**(1\/9)*((((c\/(c*c*c**(4\/5))*c)\/c)\/c)**(-16\/7))**(1\/2) assuming c is positive.\nAnswer: c**(427\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 36 - 33 = 0. Let d be (-2 - o)*-3*-1. Is d + 665 - 9\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*j**3 - 221*j**3 + 118*j**3 + 90*j**3.\nAnswer: 51*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-77593)\/(-257610) - (-15)\/(-50). What is the second biggest value in -2, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -z. Suppose -14 = -m + 3*g, -m + z = g + 1. Is 2 a factor of m\/3 - 4\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2072 by -1036.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let d(x) = 68858*x. Give d(y(j)).\nAnswer: 137716*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdn when three letters picked without replacement from {d: 2, t: 1, b: 1, m: 1, n: 1, x: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 37 - 41 + 3*i + 16 - 2*i.\nAnswer: i - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 41. Let s be u(-9). Calculate the highest common factor of s and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -166*j**2. Let n(g) be the third derivative of -g**5\/30 - 78*g**2. Give r(n(c)).\nAnswer: -664*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1068869800 to the nearest one million.\nAnswer: 1069000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 274785 and 399.\nAnswer: 5220915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 277*c**2 + 15*c + 10. What are the prime factors of x(-5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 469? (a) -1\/21 (b) 0.5 (c) 1 (d) -4 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 15.8, 5, 0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1231823km to nanometers.\nAnswer: 123182300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 1159705 = -1158805 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.59, -2\/7, -2, 3, -1\/3 in decreasing order.\nAnswer: 3, -2\/7, -1\/3, -0.59, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.044793 times 2562\nAnswer: 114.759666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -65430c?\nAnswer: 654312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 15*s**2 + 35*s - 24. Let o be a(17). Let b be (-31)\/(-10) - 6*o\/(-70). Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10137*q**2 + 20281*q**2 - 10142*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 25*b**2 + 196*b - 3187. Calculate s(-34).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 4*k**3 - 4*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19054579 is divided by 3602.\nAnswer: 3601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -1\/6*n**4 - 15 + 0*n**2 + 0*n**3 + 10*n. Let b(c) be the first derivative of p(c). Let s(r) = 2*r**2. Calculate b(s(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b65 (base 13) to base 2.\nAnswer: 1000000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -302 or -308?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221057739 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289 - z**2 + 407 + 402 - 1098.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -656 and -656 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43586, 87157, 130728, 174299?\n\"Answer: 43571*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Let s(c) = -c**2. Let r(t) = -6*t**2 - 5*t - 4. Let o(u) = -r(u) + 4*s(u). Let m(b) = 3*b**2 + 9*b + 7. Determine d*m(p) - 5*o(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/833 + -9409\/1666. Find the common denominator of 89\/34178 and a.\nAnswer: 239246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbscs. What is prob of sequence ssc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5580256113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 20799360.\nAnswer: 20799360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 314103667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d. Which is smaller: 1\/16 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2\/2 + 2. Let c(q) = 11*q + 16. Let h(l) = -4*l - 6. Let k(r) = -3*c(r) - 8*h(r). What is k(y(o))?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 14 = 34*h - 31*h, 0 = 3*h + 3*p + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/35 - 3\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**20*(o**(-2\/9))**10)**(1\/16) assuming o is positive.\nAnswer: o**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 777?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5400 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -171917153.85 - -1?\nAnswer: -171917152.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2602946360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1397 (b) 0.4 (c) -0.05 (d) 3\/4 (e) -5 (f) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82003058107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1)*b*b*b*b**(-6)*b*b assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.04?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -73*b**3 + 7*b - 54. Let j(x) = -37*x**3 + 4*x - 28. Let h(g) = -4*d(g) + 7*j(g). Find the first derivative of h(f) wrt f.\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 < 474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/39 (b) -2 (c) 5 (d) -2\/15 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529789191 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbr. Give prob of sequence bs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.0753.\nAnswer: 0.03765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17637, -35141, -52649, -70161, -87677, -105197, -122721?\nAnswer: -140249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0328 + 319.4672. Let z = k - -0.5. Let f = z + -319.999689. What is f rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -119. Suppose -k*x = -2*d + 408, -15*d + 5*x - 568 = -18*d. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27622, -55251, -82888, -110533, -138186?\n\"Answer: -4*x**2 - 27617*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/5 - 24*z**3\/5 + 3*z**2 + 42*z\/5 = 0 for z.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142087421.\nAnswer: 7, 20298203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 12:56 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -877357, 10, 5 in increasing order.\nAnswer: -877357, -5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22010 <= 22010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1082, -1057, -986, -845, -610, -257, 238, 899?\n\"Answer: 4*j**3 - j**2 - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 8*a**2 + 2*a - 12. Let m = -68 + 76. Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/6, -0.124, -0.184?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and 0.073.\nAnswer: 14.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 + 53*b - 36. Let t be n(-11). Let j be 3 - 2*(-339)\/(-42). Is t < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 2*s - 0*s + b, -5*s = -3*b + 426. Let p(q) = 2*q**2 + 2*q + 3. Calculate the remainder when 6\/((0 - 7)\/s) is divided by p(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h - 25. Determine a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(1700) - (-1 + sqrt(1700))*5.\nAnswer: -30*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -387164761 divided by 43487\nAnswer: -8903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 4a33?\nAnswer: 4a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-8514))\/(15\/(-54)).\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(726) + sqrt(726) + -3*sqrt(726) - sqrt(726)))\/(1*sqrt(72)*2).\nAnswer: -sqrt(2)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -837465*d*g**3 + 39*d*g**2 + d*g - 10*d - 4*g**2 - 2*g wrt g.\nAnswer: -5024790*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1613188 and 2034?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:00 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 112535?\nAnswer: -112540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -658?\nAnswer: 5\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10560 + 10558. Let j(h) = h**2 + 9*h + 15. What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16257 is divided by 220.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -600 divided by 200\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 11:12 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 2*p - 2*p**2 - 1039 - 3*p**2 + 1041. Calculate v(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.204 and 1.5287?\nAnswer: 0.3118548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-3)\/(-36)*1167. Suppose -o - 290 = r. Is (o\/(-2))\/(4\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88\/9, 4\/3, 5 in ascending order.\nAnswer: 4\/3, 5, 88\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*r + r - r)*(0*r + r + 2*r) + 0*r**2 + 3*r**2 - 5*r**2)*(3*r + 3*r - 5*r) in the form x*r**3 + g*r + a*r**2 + w and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4608*q - 4545*q = -9240*q - 6612 for q.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, w: 6, d: 1}. What is prob of sequence dx?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -97 - 8\/6*3. Calculate the remainder when 44 is divided by (-12)\/9*q\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*j + f + 27, 3*f - 6 = 3*j. Solve l - 1 = -5*z, 5*z = j*l - 13*l - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/60 + 3*h**4\/8 - 5*h**3\/6 + 200*h**2. What is j(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 1, r: 14}. Give prob of picking 3 k.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -1\/90*z**4 - 1\/150*z**5 + 0 - 10*z + 0*z**2 + 2\/45*z**3. Factor s(k).\nAnswer: -2*k*(k - 1)*(k + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2057) - ((sqrt(17) + -1 - sqrt(17)) + 1).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 1.4. Let d = -3.8 - -4.2. What is the closest to w in d, 4\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - 160.7?\nAnswer: -200.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-4 + 1 + 2 + 1). What is the closest to 5 in 0.5, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 30200100111?\nAnswer: 30200100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 11*l**2 + 9. Let x(h) = -5*h**2 + 28*h + 1. Let p be x(6). Does 9 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 12 + 2*m + 61.\nAnswer: -m + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*x - 8. Suppose 3*w = -3*q - 6, 5*w - w + 22 = 3*q. Find the third derivative of -3*y**x + 3*y**q - 4*y - y + 5*y wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -757 + 756.9. What is the fourth biggest value in l, -1\/7, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 972 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let v(j) be the second derivative of j**6\/360 + j**5\/20 + 2*j**3\/3 + 6*j. Let m(x) be the second derivative of v(x). Calculate m(p) + 6*r(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3358100429 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6628081 to three decimal places.\nAnswer: -1.663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2 - -7)*(-5 - -3). Let p(u) be the second derivative of -u**4\/12 - 17*u**3\/6 + 19*u**2\/2 + u. Let y be p(f). Sort 0, -5, y in increasing order.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3, 35 = -9*f + 4*f - 5*w. Suppose -3*p - 4*o = -7*p + 16, -5*p + 4*o = -20. What is the units digit of ((-14)\/p)\/(1\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -9. Let g = n - 18. Is 15 a factor of 13 + 0 + g + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3068 in decreasing order.\nAnswer: 3068, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 123666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.895622 rounded to three dps?\nAnswer: -1.896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 10 (b) -2\/3 (c) -161\/5 (d) 3 (e) 2 (f) -8 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**11*p))\/p)\/((p\/(p*p\/(p**(-1\/6)*p*p*p)*p))\/p)*(p**1)**(3\/11) assuming p is positive.\nAnswer: p**(623\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.77701 centimeters in kilometers?\nAnswer: 0.0002977701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35498 - 169612 = 6*c. Is c\/(-135) + (-4)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17217)\/11478)\/((30\/4)\/(-3)*(-36)\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*2 + (sqrt(133) - (sqrt(133) - 2*(sqrt(133)*1 - sqrt(133))) - sqrt(133)))\/(-2*((sqrt(700) - (sqrt(700) + -3*sqrt(700))) + sqrt(700)))*3.\nAnswer: -33*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*t + 390*t = 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8162333744 - 1160*v**2 - 8162333744.\nAnswer: -1160*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 - 28*g - 7*g**3 - 73*g + 12*g**3 as s*g**3 + z*g + d + h*g**2 and give z.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*h - 9. Let t(w) = h*w**2 - 1 - 3*w**2 - 4 + 6 - 7*w. Let u be t(-6). Is 7 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by -2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*s**2 - 4 - 15*s**2 - 7*s**2 + (-4*s + 2*s - 8*s)*(0*s + 2*s + 3*s).\nAnswer: -49*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*o = -187, -p = -0*p + 3*o + 188. Let z = p - -188. What is the least common multiple of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149 - 149. Let c(g) = -g**3 + 7*g**2 + 7*g + 12. Let i be c(8). Solve k*x - i = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 6:03 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10)*-2*3)\/((-1176)\/735).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/7 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 26*i + 936. Let a be v(-36). Solve 2*j - 24 = -4*g, -4*j + 3*g + a*g = 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 6*n + 4*n)*(-n + n - n) + 500*n - 447*n**2 + 354*n**2 - 437*n in the form p*n + s*n**2 + c and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(100) + 1*sqrt(100)) + -2 + -6*(sqrt(17) + -1 + sqrt(17)).\nAnswer: -119*sqrt(17)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/(-162) - 7\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (17 - 8) - 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-12)\/1. Let o be (37 - 1363\/116) + -26. Which is the biggest value? (a) o (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w**2 + 3*w - 12. Let i be v(4). Let x = i - -235. What is the smallest value in 1.6, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22874106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + -3*sqrt(80) + -2 + sqrt(80) - (1*sqrt(80)*2)**2.\nAnswer: -322 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/(4\/(-32)). Let r = m + -5. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -604*h. Let b(u) = -u. Give b(x(p)).\nAnswer: 604*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(((-2)\/7)\/((-135)\/630)). Which is the biggest value? (a) -0.3 (b) 2\/9 (c) w (d) -0.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -783631\/26 at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:37 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*s**5 + 2\/9*s**2 + 0*s - 2\/9*s**3 + 0 - 2\/9*s**4.\nAnswer: 2*s**2*(s - 1)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*101\/(85345\/260)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (21 - (11 + 18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.4. Let l = 14 - 2. Let b = l - 12. Are b and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**2\/2 + 2*y - 27. Suppose 13*x = 8*x - 3*n + 57, -4*x - 5*n = -56. Calculate j(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -4751 in decreasing order.\nAnswer: 12, 3, -4751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:27 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -116000000 rounded to the nearest one million?\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073756658 a multiple of 1734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 321 (b) 0.3 (c) 0.9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 95 (b) 4 (c) 24\/13 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.1391714 + -26.142. What is f rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-8 - (-10 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 2661. What are the prime factors of c?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 6. Suppose -5*c + 6*c + h = 1, -r*c - 4*h + 2 = 0. Suppose -44 = -c*j + 72. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193\/804 + -2\/201. What is the smallest value in 0, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -11*m - 544. Solve 0*z + 2*z = -3*c, -5*z + c + m = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1560*c + 30 = -1565*c - 5*z, z + 6 = 0. Let q(m) be the second derivative of -5\/2*m**2 - 1\/6*m**3 + c - 3*m. Give q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849042382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/340 and 61\/46514?\nAnswer: 7907380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z - 4*z + z + 0*z to y*z + r and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47535114 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 108*h**2 - 912*h - 1360.\nAnswer: 4*(h - 34)*(h + 2)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 8191*f - 139898. Determine c(17).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(4032) + -1).\nAnswer: -120*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/3))**(1\/31)\/(u**(-3\/4)*u\/u**(8\/7))*u**(-1\/10)\/u**(-1\/5)*u**(3\/7)*u*u\/u**(-8) assuming u is positive.\nAnswer: u**(149267\/13020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -107 + 99 + (-1 - -42)*(489 + -10).\nAnswer: 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1845, -3547, -5249?\n\"Answer: -1702*q - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10882.23 litres to millilitres.\nAnswer: 10882230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1368796 divided by 342199\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(4\/13)*t\/(t\/(t\/t**(-1\/6)))*(t*t**5\/t)\/t*(t*t**(-1))**26*(t*t**4\/t)\/(t*t**0) assuming t is positive.\nAnswer: t**(4507\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 17*y + 34. Let b be 3\/(-9) + y\/(-36)*-141. Find the first derivative of 38 - 412*s**2 + 412*s**2 + b*s**4 wrt s.\nAnswer: 124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 6) to base 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41420, 41460, 41506, 41558, 41616, 41680?\nAnswer: 41750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/1 - (8 - 43). Suppose 0*c + 3*q = 5*c - h, 3*q = c - 3. Solve 3*y + c = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spfffffsjjffsess. What is prob of sequence fse?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 - 5.49962. Round g to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.997 and 0.13.\nAnswer: -0.25961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3 - 45*i**2 = 0?\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -9. Let z = 17.1 + c. Round z to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1460, -0.4, 19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8574 times -0.7?\nAnswer: 6001.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 212412.67\nAnswer: -1486888.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 6149519.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 + 192 = 0. Let o = -195 + 66. Let l = o + h. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 8 + 2*v)*((4*v + 7*v - 2*v)*(-2*v + 4*v - 3*v) + (-6 - 7 + 10)*(-v**2 - 4*v**2 + 3*v**2)).\nAnswer: -6*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Find the third derivative of 4*n**l + 0*n**2 - 2*n**2 + 2*n**2 - 2*n**4 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 294*t**2 + 2*t + 24. Let j(z) = -2*z**2 + z + 10. Calculate 4*j(i) - v(i).\nAnswer: -302*i**2 + 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7795*c**3 - 47*c**2 + 146*c**2 - 54*c**2 - 45*c**2.\nAnswer: -7795*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78873527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 + 3845*i**3 - 994410*i**2 + 88709500*i - 573547240 = 0 for i.\nAnswer: 7, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 947733649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 1. Let d(l) = -7*l**2 - 5*l + 12. Let i(n) = -6*a(n) - 2*d(n). Let v be i(8). Suppose -185 - v = -3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -44. Let k be -1*(-2)\/(-12)*-2. What is the closest to 0 in k, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 0.2 (b) 3 (c) 65 (d) -2 (e) -35.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/5)\/(6\/(-200)). Suppose k = -4*k + u. Suppose 0 = -a - f + k, -3*a = -2*a + 4*f - 5. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**6\/l))\/l)**11*l**(-5\/4)*l\/(l\/(l\/(l*l**11*l))))**44 assuming l is positive.\nAnswer: l**(-3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 632379 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-287)\/(-1107)*-9 + (244\/48 - -1)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.807 - 610.807. Let z = 608.5 + m. Which is smaller: z or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18 and 173\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17*31)\/((-7 + 11)\/(-4)). What is the greatest common factor of 62 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 16. Let j(z) = 15*z + 3. Let s be j(2). Let q = s + -23. Calculate the highest common divisor of q and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -28, -57, -106, -181, -288, -433, -622?\n\"Answer: -o**3 - o**2 - 5*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 0. Let p(q) = 2*q**3 - 2*q**3 - 4 + y*q**2 + 9*q - q**3 + 8*q**2. Let z be p(9). What is the closest to -1\/3 in 3, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -7*h + 27. Let i(r) = 7*r + 3*r - 20*r + h*r. Let l(d) = 17*d**2. What is i(l(b))?\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1102011210211 (base 3) to base 12\nAnswer: 302a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 6. Let n(c) = -4*c - 5. Let y(f) = -5*a(f) - 6*n(f). Let r(m) = -m + 26. Give y(r(p)).\nAnswer: p - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/7, 96 in descending order.\nAnswer: 96, 3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -67, -1\/229?\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 179436 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.936*0.1\nAnswer: -0.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 87 + 66 + -124 - 59\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/((-408)\/(-697))*228 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r + 3218 = -65*r - 1982 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-52) - 8\/52. Let o(x) = -2*x**2 + 2 + 4*x**2 - 9*x - x**2 + p*x**2. Let q be o(9). Solve d + 4 = f - 2*f, 0 = q*d + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 1 (c) 4 (d) -2 (e) -2\/13 (f) -0.0723\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/19)*c)\/((c\/c**(-9))\/c))\/(c**5*c*(c*c*c**(-2)\/c*c)\/c) assuming c is positive.\nAnswer: c**(-248\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -38413\nAnswer: -15365.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -36. Let g(m) be the third derivative of p*m**2 + 1\/70*m**7 + 0*m + 1\/336*m**8 + 0 + 0*m**4 + 0*m**3 + 1\/40*m**6 + 1\/60*m**5. Factor g(h).\nAnswer: h**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 3, -64.929, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 785?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6153227498 to the power of 1\/3, to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90956 <= 90956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(99) + sqrt(11))**2*5 - sqrt(121)\/(sqrt(11)*2)) + (sqrt(44) - 1*sqrt(396))\/sqrt(4).\nAnswer: -5*sqrt(11)\/2 + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1067154.195 to the nearest one hundred.\nAnswer: -1067200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*b + b - z, -5*b - 4*z + 33 = 0. Suppose 2 - 17 = -b*q. Put 2, q, 0 in ascending order.\nAnswer: 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3 - 74\/15*p + 2\/15*p**2.\nAnswer: 2*(p - 35)*(p - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 616.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7602 - 6150 - 9348 = -411*p + 9366 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:16 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68154.67 centuries to months.\nAnswer: 81785604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -651*0.1755\nAnswer: -114.2505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*t + 559. List the prime factors of t.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30013 (base 4) to base 13.\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -262461 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2284 divided by 571.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, c: 1, l: 1, q: 2, h: 1}. Give prob of sequence elh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -57, -119, -221, -375, -593, -887, -1269?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqxqxxqxkdxhkxq. Give prob of picking 1 x and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5772)\/(-2340) + (-24)\/9\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2*b - 100886. Let r(c) = -246*c. Give y(r(z)).\nAnswer: 60516*z**2 + 492*z - 100886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 288716*o**2\/3 + 10425676472*o\/3 + 145789754992.\nAnswer: 2*(o + 42)*(o + 72158)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaa. Give prob of sequence ca.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61064 + 1305?\nAnswer: 62371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - -4. 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: Product of 660 and 4.\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3224)\/(-4278) + (-4)\/46)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99420973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15779 + -0.63?\nAnswer: -15779.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -2, -30, -1 in decreasing order.\nAnswer: 2, -1, -2, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.21 or 15.2573?\nAnswer: 15.2573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 11 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h**2 + 7*h - 2. Let y be l(-8). What is y rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 5. Suppose -7*y + 8 = -9*y. What is v(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 107 - 4*m - 318 + 103 - 19*m**2.\nAnswer: -19*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**2 + 4*g - 21. Suppose 0 = -11*j + 5*j - 30. What are the prime factors of c(j)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506983114.\nAnswer: 2, 7, 13, 8280127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-10)\/12*(-192)\/(-30). Suppose -49 = -3*m + 4*j, 5*j + 5 = -0. Let l = m - n. Sort -4, -5, l in increasing order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71, -145, -229, -329, -451?\n\"Answer: -m**3 + m**2 - 70*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 70*p + 123. Is w(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11195 - 4702 - 367 = -657*a - 22125 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1213, 1206, 1187, 1150, 1089, 998?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 119\/3, -203, 1\/7?\nAnswer: 119\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13055 is divided by 1347?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301365717 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17720946 by 8860473.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 - -542. Let z = l + -191.9546. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2*v**3 + 16*r**2*v**2 - 586*r**2*v + 12788*r*v**3 - 319*v**3 - 2*v**2 + 2*v wrt v.\nAnswer: -6*r**2 + 76728*r - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 + 763. Let o = t + -999. Let h = -2 - -1. Which is the second smallest value? (a) o (b) -6 (c) 2\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(6)\/(sqrt(24)\/sqrt(8)).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 445296 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1152, -3381, -15704, -39711, -79296, -138353, -220776?\n\"Answer: -649*g**3 - g**2 + 13*g + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*k**2*p**2*x - 2334*b**2*p**3 - b**2*x + 296*b*k**2*p**2*x - 7*b*k*p**2*x - 13*k**2*p**3*x wrt p?\nAnswer: -14004*b**2 - 78*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 74000160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1166.208 millimeters?\nAnswer: 1166208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -1286.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*j - 32, 328 = -a - 5*j + 368. Let o be -1 + 1 - (-6)\/3. Solve -o*w - 2*w - 4 = -2*u, 2*u - 2*w = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12828 - 12828.047. Which is bigger: -91 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u. Suppose -12*z + 10 = -11*z. Suppose z*p = 5*p. Let w be 2 - (-1 - p)*-5. Determine k(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 887.3 - 848. Let h = -0.0691 - 38.9309. Let y = r + h. Which is the nearest to 0.1? (a) y (b) 5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 12*v - 80. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - -1) + -10 + 1096. Let k = s - 612. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, 1208, 2843, 4474, 6101, 7724?\nAnswer: 9343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000234 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12702 divided by -6?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*i = -319570, 2*x - 127857 = -3*i + 8*i. What are the prime factors of x?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35861430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -37*f - 1073. Let z be t(-29). Let w(n) = -n + 32. Determine w(z).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104012692 by -1106518.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 103612*a**2 - 207226*a - 310840\/3.\nAnswer: 2*(a - 155420)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -532, -570, -644, -766, -948, -1202?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10424301 - -31?\nAnswer: -10424220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/30 - (11 - 1300\/120).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19384 is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32760922?\nAnswer: 2, 16380461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(293\/6153).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) - (-145)\/(-15). Let x be (-2)\/z - (-14)\/5. Is 4\/6 + 316\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 59 = 86. Suppose j + 22 = 2*j + q*d, 4*d = 20. Solve -j*p = -10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13022 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 - 3*b + 4. Let u be g(-8). Suppose 3*q = 2*q - u. Let v = q + 50. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258602?\nAnswer: 2, 761, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(119) - sqrt(119)) + sqrt(119) - (sqrt(119) + sqrt(119) + (sqrt(119) - sqrt(119)*-1)*1 + sqrt(119)))\/(sqrt(35)\/(sqrt(5)*1*6))*-3.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12162473 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22620449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 293611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -69, -159, -281, -429?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 17 = -26 - 5. Let y(s) be the first derivative of -15\/14*s**2 + 3\/28*s**c + 9\/7*s + 1\/7*s**3 + 18. Factor y(o).\nAnswer: 3*(o - 1)**2*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*b + 46. Suppose -5*s + 3*r = 0, 0 = -2*r + r. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v + 68 = 2*o, -2*o = 5*v + 376. Let y = v + 72. What are the prime factors of 256*(y - (-10)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*b = -146*b + 27 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 - 40*u + 51. Calculate g(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let h = 20 - 6. Let a be (-74)\/h + 6\/21. Sort u, a, -3 in ascending order.\nAnswer: a, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:47 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*s + s - 255 = 0, 2*v - 3*s = 119. Let j(l) = l**2 + 4*l - 2. Let u be j(-5). Factor 29*g**u - v*g**3 - g + 24*g**3.\nAnswer: g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47717252801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = s + 4*s - 5, 5*s - u + 15 = 0. Let v(y) = -y**3 + 2*y + 2. Let k(b) = -56*b**3 - 60*b**3 - 3 + 118*b**3 - 3*b + 0. Calculate s*k(i) - 3*v(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/245 or -1?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 26 = 4*j, -35*j - 17 = o - 31*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + m**2. Let v be t(-1). Let g be (3 + 50\/(-15))*-30. Solve v*y + 3*i + 9 = 0, -4*i - g + 1 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (650\/80)\/(2095\/(-20112))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/6 + 1\/(-1). Let i be (-104)\/(-18) + t\/(-9). Let x(h) = h**2 - 6*h + 4. Is x(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 32*n**2 + 8*n + 7. Calculate o(-7).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28384, -113700, -255894, -454966?\n\"Answer: -28439*m**2 + m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 841541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 779400923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037706629 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - -11 - 109*-4.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - -1 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 + 10*i + 299. Determine h(-8).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15b - 3?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-112))\/(2\/(-16)). Factor -6*f**2 - 81 + 10*f**i - 5*f**2 + 0*f**2 + 18*f.\nAnswer: -(f - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfcc when four letters picked without replacement from {r: 4, v: 9, c: 4, f: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 228?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 1\/3*n**5 + n**3 + 0 - 2\/3*n**2 + 0*n**4.\nAnswer: -n**2*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -6577, -6.\nAnswer: -6577, -10, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) - (sqrt(3) + -3 + 5) - sqrt(363)*-2))**2*2.\nAnswer: -6336*sqrt(3) + 104832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2*u**3 + u**3 - 26.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -609560*m**3*q**5 - 48*m**3*q**2 + 11*m**2*q**2 - 6*m*q - 6*q**2 wrt q?\nAnswer: -36573600*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-7)\/(-147) - 940\/(-105) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2 - 22. Let t be (-1)\/(-4) + (-45)\/v. Let z be (2\/(-12))\/((-3)\/6). What is the third smallest value in t, z, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*v = 3590, 4*z = -4*v - 769 + 3665. What are the prime factors of z?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3*(-40)\/36)\/(2\/(-1)))\/(15\/162).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10298434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let y(g) = -50*g + 3 - 6 + 46*g. Give y(a(v)).\nAnswer: 4*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, -10, -48, -102, -172, -258?\n\"Answer: -8*j**2 + 2*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**3 - 103025*l**2 + 6373135*l - 98709115 = 0?\nAnswer: 31, 20543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ee27 (base 15) to base 16.\nAnswer: -c505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 10*l + 47*l.\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -16, 4, 3, -5 in ascending order.\nAnswer: -16, -11, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2 + 5 - 4 - 19*d - 18 + 64*d + 17*d wrt d.\nAnswer: 6*d + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(14\/5)*r)\/(r\/((r*(r\/r**(-2\/37))\/r*r)\/r)) assuming r is positive.\nAnswer: r**(713\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - 3.97. What is the closest to 0 in 0.2, -3\/5, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 5\/(5\/(-1)) + 3. Let t be 0 + 18\/6 + j\/(-2). What is the closest to -0.1 in -225, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -753665 times 7\nAnswer: -5275655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-8)*(-140)\/(-1400)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321?\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-6)*39\/13. Factor -15*r**3 + j*r + 3*r - 20*r**2 + 0*r.\nAnswer: -5*r*(r + 2)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 + 48481264*p - 146902059939856 = 0. What is p?\nAnswer: 6060158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5998 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32957392 and 1872?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -106*g**2. Let v(q) = 8*q - 40*q + 10*q + 9*q + 11*q. Calculate y(v(a)).\nAnswer: -424*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 8*r - 12. Let x be f(5). Solve 3*b = -5*u - 3, 0*b + 2*b = x*u + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 320 - 121?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 25. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7561, -30221, -67971, -120811?\nAnswer: -188741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8275 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*x**2 - 1071*x - 486.\nAnswer: -(x + 9)*(113*x + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (26\/18 - 1)\/((-40)\/30)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0472697 + 5?\nAnswer: 4.9527303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 10*m + 11. Let q be g(9). Let p be -1 + (q - 2) - (-12)\/3. Sort -3, 2, -4, p in descending order.\nAnswer: p, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(-21))**(-20\/9)\/(((z**(-2)*z)\/z*z**(-4\/7)*z)\/((z*z**(2\/5))\/z)**(-3\/14)) assuming z is positive.\nAnswer: z**(-1069\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6659, -3, 465 in increasing order.\nAnswer: -6659, -3, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76) + (sqrt(19) + 0 + 2)**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 13. Let 0*x**5 - 3*x**2 + 3*x**2 + 6*x**4 - 2*x**3 - 2*x**5 + y*x - 6*x**2 = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-90)\/120)\/(9\/(-16))*39 and (-3 - 2)*(-3)\/3.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(4*s + 3*s - 6*s)*(-3 + 2 - 1) + 9*s**2 - 7*s**2 + 2 - 14.\nAnswer: -2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0 + 0 + (-767*z + 127*z + 64*z)*(z - 2*z + 2*z).\nAnswer: -577*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 622 - 1798\/3. Calculate the common denominator of u and -38\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7164325 (base 8) to base 7.\nAnswer: -22050440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-32)\/((x**(-3\/28)*x*x)\/x) assuming x is positive.\nAnswer: x**(-921\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243768 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3114)\/(-8) + (-1)\/(4 - 0) is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*y\/(y**(-7\/12)*y))*y*y*y)*y)\/(y*((y*y**(-5\/4))\/y)\/y)*y*y*y**(-2\/53)*y*y**(1\/19)\/y)**(-3\/28) assuming y is positive.\nAnswer: y**(-23251\/56392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/(8\/(-32)). Let l = -0.47 + -0.03. Put -2\/7, x, -11, l in decreasing order.\nAnswer: -2\/7, l, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -141. Let w(y) = 86*y + 45. Let o be w(q). Calculate the highest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4*u - 3. Suppose 0 = -7*s + 12 + 9. Let i be o(s). Calculate the common denominator of 125\/6 and (-2)\/(20\/i) - 209\/40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 0 in decreasing order.\nAnswer: 5, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 6*j - 17*j - 474*j**2 + 474*j**2 + 142.\nAnswer: 5*j**3 - 23*j + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38a5 (base 12) to base 10\nAnswer: -6461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726739?\nAnswer: 13, 55903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -7*p**3\/3 + 4. Let f(c) = -c. Calculate f(v(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuffsfusffsfbfiuff. What is prob of picking 2 f?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 95905 = -8*i - 11*v, 59944 = 5*i + 2*v. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/7)\/(72*32\/5376).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3421 = 3425, 4*n - 4*w - 32 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 36 = -0. What is the closest to -1 in 0.5, r, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from ppkuppukpuuup.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 - 292. Let p be (56\/c)\/((-2)\/27*4). Factor -3\/2*j + 1\/4*j**2 + p.\nAnswer: (j - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 1, 3\/4, -0.5, 1\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0328 and -110\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (0 - -4) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2400 and 2425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*n = 3*b + 734, 0 = -3*b + n - 1115. What is the common denominator of b\/26 + (-8)\/52 and (-1)\/1*45*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28722 - -28725. Factor 63\/4*o - 15\/4*o**2 - 49\/4 + 1\/4*o**s.\nAnswer: (o - 7)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4484 by 275.\nAnswer: 4484\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860, 788, 660, 470, 212, -120?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/12383 - -12392\/37149. Determine k, given that -1\/3 - d*k**2 + 2\/3*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 4, -142 = -2*f + 3*n. What is the highest common factor of f and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -15*g**3 - 17*g**2 - 71*g + 49. Let o be y(-7). Solve -o + 4813 = -15*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Solve 4*h = -g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141899030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 1. Let i(w) = 37*w - 21. Determine i(n) + 4*m(n).\nAnswer: 29*n - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -973*-774.7.\nAnswer: 753783.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-42))\/((-15)\/(-75)*10\/(-8)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 - (-22)\/(-8) - -56. Let m = -36 + j. Suppose 22*q = m*q + 10. Solve -q*h = 3*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q. Let s(a) = 1. Let y(l) = -l + 8. Let h(g) = -40*s(g) + 5*y(g). Let m(o) = -4*c(o) + 3*h(o). Let n(d) = 4*d**2. What is m(n(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 50*o + 3515 = 21*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279297 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 + 5*b + 14. Let d = 1340 + -1333. What is j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - c)*(231*c**3 - 1816*c**3 - 190*c**3 + (-2*c + 2*c - 2*c)*(c**2 + c - c)).\nAnswer: -1777*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -135684, 5.\nAnswer: -135684, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 15*n**2\/4 + 7*n\/2.\nAnswer: n*(n + 1)*(n + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4 + 3\/8*r - 1\/8*r**2.\nAnswer: -(r - 5)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 - 7*b**2 - 7*b**6 - 3*b**2 + 4*b**6 wrt b?\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/18097 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77017756651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 112457619753.\nAnswer: 112457619749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - j = -7026 + 7374, -290 = 5*l - 4*j for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - y**2 + y. Let c be g(1). Let j = -41\/4 - -10. What is the third smallest value in 3\/4, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3143683*g*o**4 + 65544*g*o - g + o - 1 wrt o.\nAnswer: -37724196*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.12. Let f = 147.88 + -148. Let t = f - a. What is the nearest to 0.2 in 4, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.84? (a) -0.1 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-8)*(-8)\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/1325 and -57\/25.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 6, f: 2, d: 1}. What is prob of sequence rl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5883 = 4*s, -1931 = -2*s + j + 1018. Let m(k) = -1080*k + 14063. Let n be m(13). Calculate the greatest common divisor of s and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4556\/(-272))\/(31\/124)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -19. Let c be -1 + 14 + (1 - m). What is the second derivative of -10*z - c*z**2 + 4*z - 6*z wrt z?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Suppose 0 = n - v*n + 30. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(a\/a**(-3)))))\/a)\/a)**(1\/17)\/(a**11*a*a\/(a**(1\/8)*a)*a) assuming a is positive.\nAnswer: a**(-1791\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l - 13. Let g be y(5). Let x be 3*(-1)\/(-3) - 1. Suppose x = -g*i + 34*i - 21. Are -10 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637, -642, -651, -664, -681, -702?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -41836655 divided by 7\nAnswer: -5976665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*p - 99697 = -332*p + 125*p - 34845 for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47475958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/l**18)\/(l**(-2\/5))**(-25) assuming l is positive.\nAnswer: l**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8195 rounded to one dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65889802\/13 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*v**3 - 86174687 + 86174687.\nAnswer: 328*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1262*s + 7919 wrt s?\nAnswer: -1262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**15*b*b**23*((b**9*b)\/b*b)**40 assuming b is positive.\nAnswer: b**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 times -32567?\nAnswer: -13938676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 5*y - 28*y.\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 7*z**2 + 8*z + 2. Let y be o(8). Suppose -2*w + 53 = 3*j, w = 3*w + y*j - 54. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -125) + (1 - -10 - (-18 - -31 - 9)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 95*b + 14174. Calculate the remainder when ((-9)\/(-18))\/((-1)\/(-478)) is divided by k(-149).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 39. Suppose -p*m + 2385 = -65. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312948731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4 + 4)*(-2*s - s + 4*s) + 2*s**2 - 5*s**2 + 2*s**2 + 4 - 4 + 2*s**2 + (-3 + 3 + s**2)*(2 - 3 + 9).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*k = 100*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -59. Suppose -u + j*u = 80. Calculate the highest common divisor of 70 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 2*j + 61 - 20*j**2 + 57 - 150.\nAnswer: -20*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91626.\nAnswer: 2, 3, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + n + 183 = -n, 0 = 2*n - 2. Let i = 69 + o. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 5231621?\nAnswer: -5231626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 3*n + 2. Let p = 3 + -3. Suppose p = -0*g + g - 4. Let w be r(g). Is w equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353125?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3424 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 + -133. Let q(m) = m + 1. Let l(f) = -4*f**2 + 5*f + 5. Determine a*q(n) + 2*l(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 42, 60, 82?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -5*y - 12, -4*t + 18 = -2*y. Let g be (-8)\/y - (2 + 0). Let l = 1.8 + 3.2. Is g > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g - 12 = 0. Let y be 4*(-1)\/(-2) - 0. Suppose 55 = y*d + g*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6730.7 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/21450 and -119\/1300?\nAnswer: 42900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = 22. Put p, 3\/4, -2, -1 in descending order.\nAnswer: 3\/4, -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.894 and -1.2.\nAnswer: 4.6728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6, 0 = -d - 2*g - 2*g. Let u be (-441)\/14*d\/6. Let a = -22 + u. Solve -3*b - a = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j + 48. Let q = 11 + -17. Let m = q - j. What is the remainder when 18 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((3 - 1) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 - 27*s - 12. What is the remainder when 24742 is divided by v(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159192\/5 + 31837. What is the closest to -2 in -2\/37, -1\/6, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.081 and -22684?\nAnswer: -1837.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45 and 5.05.\nAnswer: 2.2725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197, 440, 733, 1076, 1469, 1912, 2405?\n\"Answer: 25*t**2 + 168*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 90 + (11\/66*-20)\/(410\/(-1353)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/4 - 2*c**3\/3 - c**2\/2 + c + 3. Let y be k(2). What is the lowest common multiple of y + 2 + (-1 - -10) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 8*t + 11. Let y be a(3). Let k be -3*(-3)\/36 - (-326)\/y. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -192, -190, -198, -222, -268?\n\"Answer: -d**3 + d**2 + 6*d - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*6)\/(sqrt(352)\/sqrt(2)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67156, 67133, 67088, 67021?\n\"Answer: -11*t**2 + 10*t + 67157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*d = 762, -2*o = -5*d - 326 - 163. Let l = 158044 - 157988. What is the greatest common factor of l and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 5:13 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -38*p - 1. Let w(b) = 1231*b. What is t(w(g))?\nAnswer: -46778*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 17*j - 11620 = 0. Let s = 1460 - j. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 2?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26235 + 33?\nAnswer: -26202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -317564, -317563, -317562, -317561?\n\"Answer: i - 317565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 9*j**2 - 2*j - 7. Determine b(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2)*1 + 28. Suppose 3*g - x = -p, -4*g - g = -p - 2. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -48, -0.3, 0.08781, -4, 3.1?\nAnswer: 0.08781","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*i - 37127*d**2*i - d*i + 271*d - 23 wrt d?\nAnswer: 6*d*i - 74254*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o - 1. Determine m(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13304.44 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/92133 and 61\/4959.\nAnswer: 1750527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -26, -58, -102, -158, -226, -306?\n\"Answer: -6*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02019 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:43 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*d**2 - 4846*d - 5 + 329*d**2 + 5.\nAnswer: -d**2 - 4846*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(78) - -1*1*sqrt(78))\/(5*1*sqrt(6) + 1*sqrt(96)).\nAnswer: 7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.149 or 70?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.10280442?\nAnswer: 0.82243536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 4 + 2 + 1. Let v be f(-4). Let t = v + -4. Is t bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439117452 to the nearest integer?\nAnswer: 20955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13*z - 12*z + 67 = 0, -8 = -z. Calculate the greatest common factor of s and 11175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g + 6 = 0. Let v(c) = -c**2 - 3*c + 4. Let r be v(g). Suppose -a = -4*u + 49, -14 = 2*a - r. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 225775*i - 2483485. What is y(11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/5 - (-2)\/(-5) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:01 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 187634.7l in millilitres?\nAnswer: 187634700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36858242 is divided by 1116916.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 - 92*u**2 + 170*u + 28. Give i(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by -2.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29051.92 + 29051.89820357. Let k = v + 0.0218. What is k rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1452761577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 754*l + 190727. Calculate u(-253).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -29*m + 41. Let b be d(-13). Find the second derivative of 0*w + 378 + 93*w**3 - w - b wrt w.\nAnswer: 558*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 38 = 3*j. What is the remainder when 32 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 76 = 3*f - 4*m, 4*f - 1183*m + 112 = -1175*m for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, m: 5}. Give prob of sequence mi.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35.41 - -1.59. Sort 0.3, b, -5\/4 in descending order.\nAnswer: b, 0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 - 2*p**4 - 2*p**4 + (2*p - p + 2*p)*(p**3 + 2*p**3 - 5*p**3) - 5*p**4 - 6*p**4 + 28*p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 10*t**2 - 2*t + 3. Let r be y(-10). Suppose 81 + r = -13*x. Let f(g) = -g - 10. Give f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1981 + 1981 - 10*k**2 - 78*k**3 wrt k.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*w + 4*b - 3, 3*b = -12. Sort w, -2, 2 in ascending order.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-61)\/(4758\/(-208)))\/(1\/(-2))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Suppose -2*q = q + 12. Let t be q\/3*(-18)\/4. Solve -4*o + 15 = -c, 4*o - z*c - t - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.6 + -5.6185. Let r = -9 - -8.98. Let s = r - o. Round s to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*g + 5 = -15, g = -2. Suppose -2*i = 2*s - u, 3*s + 3*i = 2*s + 11. What is the highest common divisor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**5\/5 - 9*a**4\/2 + 18*a**3 - 31*a**2 + 24*a - 69. Factor y(f).\nAnswer: 2*(f - 4)*(f - 3)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 10*m**2 + m + 8. Let i be c(-10). Let h be (8\/(-132))\/(i\/6). What is the smallest value in h, -2\/3, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**2 + 3*c + 5. Let x(q) = q + 1. Let p(m) = m**3 - m**2 - 10*m - 49. Let g be p(5). Determine g*n(w) - 3*x(w).\nAnswer: 14*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8120 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, p: 1, o: 7, l: 2, u: 4}. Give prob of sequence lp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)*0\/5. Suppose 2*m - 196 = 4*r, 294 = 3*m - 2*r - a*r. Suppose 0 = -2*n + n + 14. Calculate the greatest common divisor of n and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 25\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175270125?\nAnswer: 3, 5, 31, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -4 (c) 4 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 + -6 + (1\/4 - (-2)\/(544\/(-2516))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5286207463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000782992656 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = -8*v. Suppose v*i + 726 = 6*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, p: 2, k: 2, i: 1, j: 2, z: 1}. Give prob of picking 1 j, 1 p, 1 i, and 1 k.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.2, -2\/9, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*d - 497, -4*l + 239 + 162 = 5*d. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 1, b: 3, y: 1, v: 6, h: 1}. Give prob of sequence ytbt.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = g + 12, -k + 4*k = -3*g - 48. Let p(s) = -s**2 - 25*s + 50. What is the tens digit of p(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42428237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 - -1325\/7. Let u = -8 + 3. Let w = 7 + u. Is w equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 5. Let u be j(-2). Suppose u*x + 16 = 14*x. What is the remainder when 238*(x\/4)\/(-8) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 4\/5, 4\/3, 0.03, -904.36 in increasing order.\nAnswer: -904.36, -2, 0.03, 4\/5, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 36 = 4*w - 5*y, -14 = 3*w + 5*y. Let r = -4 - w. Solve -2*n + l = r, -2*n = 4*l - l - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480 and 18921208?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u + 97*u - 33*u = -87*u. Which is the closest to 4\/5? (a) 0.3 (b) 0.16 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/361 - -289\/8664. Let g = -0.3 + 0.2. Do u and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + ((sqrt(121) + sqrt(121) + sqrt(121)*-2)*-1)\/(5*sqrt(176)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.67356 years in decades?\nAnswer: 6.967356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-6) - (-1)\/3. Suppose 27 = 3*f - 5*a - 57, a - 56 = -2*f. Let b be -1 + -1 + 3 + -28 + f. What is the third smallest value in 9, b, p?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -461440*w - 73752 wrt w?\nAnswer: -461440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 - 2*z**2 - 2*z - 4. Calculate the remainder when 62 is divided by j(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 14 = 0. Let x = -19 + d. Let y(r) = -r - 6. Calculate y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(588)*-1*-5)\/(6*sqrt(100)*1 - sqrt(100)).\nAnswer: -5 + 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1634*1\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 1 - (-30)\/14 and 1*405\/60*6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r + 35. Determine y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41634538157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18889297?\nAnswer: 7, 2698471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12004 + -12001. What is the second biggest value in -4, 17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/20*(-7)\/3*(-43)\/((-1978)\/345).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11375, -22706, -34047, -45404, -56783?\n\"Answer: -z**3 + z**2 - 11327*z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let m(c) be the second derivative of -c**4\/6 - 2*c - 20. Give v(m(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2. Suppose 6*y = 2*y + 8. Let w(v) = 30*v**2 - v**y - 5*v**2. Let r(q) = 26*u(q) - 6*w(q). Let i(n) = n**2. What is i(r(z))?\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 + -2 - -5). Suppose -2*d = -p*d + 4. Let m(l) = l**2 - 3*l + 3. Let n(k) = 0*k - 4*k + 0*k**2 - 2*k**2 + 4 + 3*k**2. What is d*m(y) - 3*n(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 51.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 3:23 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozzoooz. Give prob of sequence ozo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*j + 64*j = -18. Suppose d + 2*n - 8403 = 0, -6*n + 25249 = j*d - 8*n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (166\/(-9))\/((-1368)\/6) and -1\/36.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6048726 divided by 3.\nAnswer: -2016242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:12 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 254425159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10502 = -455*z - 9598 - 830 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 750, 6065, 20490, 48579, 94886, 163965, 260370, 388655?\n\"Answer: 759*a**3 + a**2 - a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1989 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 10*u**2 - 12*u - 4. Calculate c(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5 - 1 + m + m**2 - 2 + 0*m. Suppose -5*u + 16 = l, -4*l + 0*u - u = -26. What is the remainder when l is divided by t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 at least 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1925+-0.1\nAnswer: -1925.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.471351 rounded to 1 dp?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**5\/240 - y**4\/48 + y**3\/24 - 3*y**2\/2 + 1. Let j(f) be the second derivative of g(f). Find w such that j(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-45)*3)\/(920\/(-138)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/60 + u**3\/30 + u**2\/5 - 10*u. Suppose c(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.89, -0.1, -2\/13 in decreasing order.\nAnswer: -0.1, -2\/13, -0.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*b = -2808, 0*b = -4*i + b + 5591. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -611172016 to the nearest one million.\nAnswer: -611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19726665 + -19726627.300187. Let x = -37.7 + b. What is x rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*s**3 + 7*s + 514*s**3 - 7*s - 1038*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 1, r: 4}. Give prob of picking 1 j and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 858604, 1717218, 2575832, 3434446, 4293060, 5151674?\nAnswer: 6010288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 4*f - 3. Let t be j(-2). Let n be (2 - 1)\/((-1)\/(-3)). What is the smallest value in n, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 2661076 = 40*f + 20*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 - 3*a**4 + 0*a**3 - 3*a**3 - 3 to l*a**3 + u*a + w*a**2 + o*a**4 + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-3))*d*d*d\/(d**(1\/4)\/d))\/((((d*d**(-1\/2))\/d)\/d)\/d**(-3\/2)) assuming d is positive.\nAnswer: d**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134)\/14 - (2\/13 + 34782\/(-4862)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 35 - 47) + -2 + 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1366 - -74715?\nAnswer: 73327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 178361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214107 = -2529*f + 410*f - 912*f - 17092 for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853.216 millennia in months?\nAnswer: 34238592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -4 - -26) + 7 - (7 - -1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 equal to 291\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (20 - 3) - (-4 - 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38478000 or -38478004?\nAnswer: -38478004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23488 divided by -16.\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + (0 - 0) + 122 + -121 + (83 - 80)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7871 a factor of 3975996295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 + 3*c**3\/2 + 2*c**2. Let o be s(-9). Suppose o = 5*z - 11 - 9. Solve 5*g - 4*b = -6, -z*g + 2*b = 5*b + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6\/16*(-110)\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 + 1208484*a\/5 + 3625488\/5.\nAnswer: -4*(a - 302124)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333343132 (base 5) in base 13?\nAnswer: -1695cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47014 - -0.5.\nAnswer: -47013.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 3:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -2, -4, -3 in ascending order.\nAnswer: -190, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53690 and 38350.\nAnswer: 268450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 15 - (-8 + -35 + (-1 - -6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**8\/336 + s**7\/14 - s**5\/60 + 25*s**3\/6 - 2*s**2 + 1. Find the third derivative of p(d) wrt d.\nAnswer: -60*d**2 + 360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1294394 divided by -6.\nAnswer: -647197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5836, -23355, -52554, -93433, -145992?\nAnswer: -210231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128431 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 1 - 5*n - 7*n**3 + 8*n**3 + 2*n + 6*n**4 to the form b + f*n + d*n**3 + r*n**2 + i*n**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-414)*533985007\/12828504. Let y = p + 4\/534521. Let i = y + -7\/46. What is the common denominator of i and 7\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 13. Let c be i(-17). Suppose 3*j - 4*j + 59 = -4*f, c*j - 2*f - 278 = 0. Let o = -40 + j. Solve 2*v + 3*g - 21 = -v, 5*v + 3*g = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9 + ((-9108)\/(-27))\/(-22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 6*j**3 - 6*j**3 + 1.\nAnswer: 11*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 11*h**9\/21 + 83*h**5\/20 + h**4\/24 - h**3\/6 - h**2 + 996*h - 1. What is the third derivative of n(k) wrt k?\nAnswer: 31680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240647 and 2839.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 244*l - 523*l)*(-1 + 6*l - 4*l - 3*l).\nAnswer: 279*l**2 + 281*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 12*s - 67. Is c(-13) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -0.8. What is the nearest to 1 in b, -1, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = 3*h, -5*r + 0*r - 14 = -2*h. Calculate the common denominator of 0 + (r\/48)\/(80\/(-8384)) and 93\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/3 - 290245592*d\/3 + 10530312959428808\/3 = 0. What is d?\nAnswer: 72561398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3546032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48939 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 188\/23? (a) -2 (b) 3 (c) -1 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 + -933\/5. Which is the third biggest value? (a) 1\/3 (b) 4 (c) -3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:54 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55211334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414810431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3947 - -455\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361486949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnznnnnzxnzn. Give prob of picking 1 z, 2 n, and 1 x.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0*c - 6 - 8*c**3 - 13*c**3 + 4 - 2*c to the form n*c + t*c**2 + b*c**3 + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i + i + 4*w, i + 4*w = -13. Suppose -5*s + 4*s - i = -3*v, -5*s = 5*v - 25. Solve 2*n = -n + 4*c - 13, 3*n + s*c = 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) + 151\/5. What is the highest common divisor of c and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+361\nAnswer: 360.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*d + 16*n - 13*n, 0 = -2*d + 5*n - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7847407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - 3*u. Factor -52\/5*p**u - 22\/5*p - 4\/5 - 48\/5*p**2 - 28\/5*p**4 - 6\/5*p**5.\nAnswer: -2*(p + 1)**4*(3*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*t - 33, -4*o = 3*t - 44 + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:25 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*o + 20, -3*n - 10*o + 8 = -11*o. Suppose 0 = -2*s + 8*z - n*z + 444, -5*s = 2*z - 1139. List the prime factors of s.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-16)*2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-760))\/(4\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (0 - -3)) + (-3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c*c)**(-6\/7)\/(c\/((c*c**0)\/c)*c\/(c*c\/c**(-3\/8))))**(5\/11) assuming c is positive.\nAnswer: c**(-135\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (-232)\/(-38) - -2. Let s = 18.5 + -18. Let d = -0.08 - -0.02. What is the nearest to -2\/5 in s, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(4\/12*1). Let a = k - 6. Let v(q) = -5*q + 4. List the prime factors of v(a).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, 0.2, -1\/4, -0.314?\nAnswer: -0.314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6 and -53\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.719 greater than or equal to 11\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45460444 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a factor of 961070904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 73*i**2. Let m(l) = 15*l + 11*l + 15*l - 38*l. Calculate m(a(u)).\nAnswer: 219*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(200) + -2.\nAnswer: 1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -0.3, -3637, 2\/7, 1654?\nAnswer: -3637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000204547792 rounded to 7 decimal places?\nAnswer: -0.0002045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5043551 (base 6) to base 16.\nAnswer: 3a6db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 20*a**3 + 20*a**2 + 180*a + 144 = 0. Calculate a.\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -5*f**3\/6 + 174*f. Let w(g) = 7*g**2. What is a(w(j))?\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 29 = -5*y, -3*y = 5*a - 0*y - 25. Suppose 0 = 6*b - 2*b. Suppose -23*v + v + 220 = b. Solve 0 = -2*w - 5*f + 5, a*w + v = 3*w + 5*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -11 in increasing order.\nAnswer: -11, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-55) - 157136\/111573. Suppose -2*f = 5*c - 2, 3*f + 2*c - 4 = -1. Are f and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36233187629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiikkiikkk. Give prob of picking 1 k and 3 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134639693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {n: 1, d: 4, t: 4, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 439, 461, 347, 91?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 2. Suppose 0 = 2*v - 0*v - 10, 2*f + 2*v = 14. Let w be h(f). Calculate the common denominator of (121\/(-10))\/1 + w and -49\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 4*b**3 + 3*b**3)*(-1 + 3 + 0) + (2 + 2*b**2 - 2)*(-2 - b + 2) + b**3 - 6*b**3 + 3*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 27. Suppose 0 = -z*j + 3*y + 558, 3*j + 4*y = 5*j - 366. What is the greatest common divisor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*v**(-7))**(9\/4) assuming v is positive.\nAnswer: v**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078940027 to the power of 1\/3, to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, -156.62 in increasing order.\nAnswer: -156.62, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 23\/568?\nAnswer: 23\/568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 315*l**2 + 149 + 64 - 314*l**2 - 26*l. Calculate the remainder when v(24) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -15) + 58 + -72 + -18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0*a - a + 3*a. What are the prime factors of z(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296177, 296201, 296263, 296381, 296573?\nAnswer: 296857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1408 - -1410)\/((12\/228)\/((-10)\/(-4))).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + j + 9 = 0, -h - 4*j + 6 = 0. Let f = 642 - 623. What is the remainder when f is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 2. Let w(b) = 181*b**3 + 6*b**2 + 6*b - 189. Let g(i) = 6*h(i) + w(i). Differentiate g(t) with respect to t.\nAnswer: 543*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1257186 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 437 + 437 + 1664*b**2 to the form h*b + z + l*b**2 and give l.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -11*b**3\/3 - 191*b**2 - 2496*b - 676\/3 = 0.\nAnswer: -26, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*f**2 - 702*f**2 + 12 - 3 - 9 + 1890*f**2.\nAnswer: 1934*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -3658?\nAnswer: 14632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10 - b**2 - 2759*b + 2750*b - 1. Let r be o(-7). Solve r*a + 4*k - k = -27, 2*k + 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1658*y**2 - 587*y**3 - 1979*y**2 + 3956*y**2 wrt y.\nAnswer: -3522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*p + 3. Let d be (1\/(-3))\/((-7)\/(-42)). Put d, p, 1 in decreasing order.\nAnswer: 1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11061 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24668142.\nAnswer: 2, 3, 41, 149, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 379787509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, 3, -5, -100, 40, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.109*-114324.\nAnswer: 126785.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let k(o) = -3*o**3 - o**2 + 1. Let b be k(-1). Let g be ((-10)\/3)\/((-4)\/6). Solve b - g = y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -481 + 484. Which is the closest to 0.2? (a) 1\/4 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/48555747 and 101\/162?\nAnswer: 291334482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*i + 50, 2*z + 28 = 4*z + 4*i. Let g(j) = j**2 - 5. Let n be g(5). Let d = z + n. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317664224 or 317664225?\nAnswer: 317664224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 4*q**3 - q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*24.8.\nAnswer: -9.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(-3 + 0 + 2) + 3 + 3 - 5)*(-1 - 2*m + 1)*(-5 + 6 + 5).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12110?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n**2 + 65243*n**3 + 31*n**2 - 65235*n**3 - 68*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a429 - -2dd?\nAnswer: -1a12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i - 3*i**2 - 4*i + 2 - 8 + 2*i**2. Is v(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = -2. Suppose -8*o + 8 = -6*o. What is the remainder when u is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1500074 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p = 3*u + 61*p + 1, 0 = -10*u - 3*p - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -117, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -63. Sort z, -10, 0 in increasing order.\nAnswer: -10, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278025736?\nAnswer: 2, 34753217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*c - 55, 3*o - 35 = -2*c + 10. What is the remainder when 433 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(18\/255) - (-55 - 9870\/(-180)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198 - -3062?\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:34 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1383713839.10000103 - -1383713827. Let c = -0.043 - -12.143. Let w = c + x. Round w to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1441*b - 4*q + 6 = 1442*b, -2*q + 1394 = 54*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 119 + -17ba8c?\nAnswer: -17b973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25c + 31795?\nAnswer: 31536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:30 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39039520 divided by -274?\nAnswer: 142480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = -x. Let r(m) = -m**3 - 7*m**2 + 8*m + 11. Let z be r(-8). Let j = z + -5. Solve -3*s - j = 2*y - 6*s, -4*s + 7 = -x*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3*g. Suppose 4*d + b = -7, g = -0*d + d + b - 2. Let s = d + 10. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/24*(-4)\/(-10). Let o(x) be the first derivative of -s*x**3 + 3 + 0*x + x**4 + 0*x**2. What is the third derivative of o(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/4)\/((-414)\/(-3312))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012476 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-41247)\/(-72) - 2\/(-16). Let s = m - 207. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -913144 divided by 4?\nAnswer: -228286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 65302*x + 2. Let f be v(-1). What is f rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/4)*k)\/k*k**(2\/3)*(k\/k**0)\/k**13)**(-22) assuming k is positive.\nAnswer: k**(1331\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.074 - 9.326. Let l = -0.36 - a. What is l rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(18)\/(sqrt(6) - (2*sqrt(6) + sqrt(6))) + -3.\nAnswer: -5 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-8)\/(-6) - 1). Suppose -1 - m = -2*n. Factor -2*s**3 + 0*s**2 + 6*s**n - 6*s + 2 + 0*s**2.\nAnswer: -2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -420?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 - 15 - (1 - -2 - 3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7353 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovspoopsops. Give prob of picking 1 v, 1 o, and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a factor of 4715301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/15 - 8*y**2\/5 - 64*y\/5 + 145. Factor x(h).\nAnswer: -(h + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 4\/217, -0.5, -0.1, 2\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*sqrt(325) - (-5 + 4 + sqrt(325)))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvvnvmmvmnvvvnvv. Give prob of picking 1 m and 3 v.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 327692 + 389\nAnswer: 328081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 + -120. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-96)\/(-64) + 39\/(-6). Let i(m) be the first derivative of -m**4\/4 - 2*m**3 - 7*m**2\/2 - 6*m - 1. Let l be i(g). Solve 2*x = l*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.764 - 0.036. Let i = 13.8 + n. Which is the biggest value? (a) -1\/5 (b) i (c) -0.4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163+-19.350478547\nAnswer: -182.350478547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 68. Calculate the remainder when 62 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/231)\/(1350\/92610)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2*a**3\/9 - 58*a**2\/3 - 80*a + 2388. Factor p(d).\nAnswer: 2*(d - 60)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -2, -6753, -25, 5 in descending order.\nAnswer: 5, 3, 2, -2, -25, -6753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)*h*h)**(13\/4)\/((h*h\/(h\/((h\/(h*h*h**(-10))*h)\/h)*h))\/h)**(-17) assuming h is positive.\nAnswer: h**(2811\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/5 - 33*s**4\/5 + 324*s**3\/5 - 432*s**2\/5 - 5184*s\/5.\nAnswer: s*(s - 12)**3*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85082330, 85082335, 85082344, 85082357, 85082374?\n\"Answer: 2*s**2 - s + 85082329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 4628*s**3 - 2926644*s**2 + 11608972*s + 14540240 = 0 for s.\nAnswer: -1612, -1, 5, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6127328*m + 3304*m**3 + 6127328*m)*(-2*m**2 + m**2 + 2*m**2).\nAnswer: 3304*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52250 and 4845.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-128)\/(-8)))\/(1\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = 2*u, 0 = -5*u + 2*u + 3*a + 54. Let w = -8 + u. What is the highest common divisor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3764921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = m - 6*m. Let y = -5 + m. Let o = 30 + y. What is the least common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -5*f**2 - 1961. Let b(t) = 99*t. Calculate b(o(k)).\nAnswer: -990*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15402238 = 119973. Let w = d + 56453. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Which is the nearest to 0? (a) z (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**2\/2 - 9*b + 18. Let u be a(5). Solve -4 + u = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3087)*-3)\/(5*(sqrt(9) + sqrt(45)\/sqrt(5))) + 1.\nAnswer: -21*sqrt(7)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -2, 1, 19, 0.3, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4988*d*g**2 - 371*d*y - 595*d - 647*g**2*y - 4*g*y wrt g?\nAnswer: -9976*d - 1294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddg when three letters picked without replacement from gddddddddddddgdddd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222062582 to the nearest integer?\nAnswer: 14902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 75.36, -2\/17, -0.2 in increasing order.\nAnswer: -0.2, -2\/17, 75.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p**2 - 61*p**2 + 294*p**2 - 166*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -265 = -265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 8*c - 3*c - 45, c + 5*k - 30 = 0. Let p be (c + -2 - 1) + 3. Sort p, -2, 2 in decreasing order.\nAnswer: p, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2539 + 1504. Let v = 1772 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Suppose d = 3*k - 632 - 40. What is the greatest common factor of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -380 + 681. What are the prime factors of r?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5392 = -914*g + 577*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 88*g - 37. Let y(w) = w. Let f(t) = -i(t) - 6*y(t). Is f(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1728)*4*3)\/(sqrt(216)*-2 + sqrt(216) - sqrt(864)*-5).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 262. Let s = m + -65. What is the remainder when 268 is divided by s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 709, 663, 619, 577?\n\"Answer: m**2 - 49*m + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49718195 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 33. Let j = 43 + v. Suppose -j*f - 12*f + 2265 = 0. Calculate the remainder when f is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 126.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m**2 + 2*m + 2. Let w be q(0). Suppose -l + 3*d + 544 = -w*d, 3*l - 4*d - 1654 = 0. List the prime factors of l.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/4 - 2\/(-4). Let x(h) = -2*h - 7. What are the prime factors of x(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2*c**3 - 3*c**3 + (11*c - 13 + 13)*(-2*c + 2*c + 2*c**2).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*u + 10 = 0, 48*n - 44 = 51*n - 5*u for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 9*m. Let z be g(6). Let y = z - -99. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 8*t - 3. Let i(m) = m**2 - 1. Let f(k) = 6*i(k) - 2*x(k). What is y in f(y) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3)*(-3*l**5 - 2*l**5 + l**5) + 7*l + l**5 - 7*l.\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122529)\/(-48269))\/((-4)\/13).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 55*h + 911. Let g be y(-46). What is the greatest common factor of 175 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/53 and -0.03 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -535.99997371 - -536. What is l rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) + 19\/((-228)\/(-16856)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58770*i**2 - 117346*i**2 + 58753*i**2.\nAnswer: 177*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2658 - 2639. Solve l*m - 32*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/475)\/(((-11)\/645)\/(-11))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 58.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0066 * -0.9\nAnswer: -0.00594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 61. Determine w(14).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-4)\/16. Suppose -h = 4*o + 9, k*h + 4*h = 3*o + 21. Solve 2*n + 2*n - 4*c + 20 = 0, -3*n - h = c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 55886 times -2873.9\nAnswer: -160610775.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 428 (c) -4 (d) -6\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 5) + 0\/2. Suppose 0 = 4*d - 4*n + 2*n - 12, 24 = 4*d + n. Suppose -k = -d*k + 4. Is k > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 1 = -14*s. Solve -4*h - 4 = -4*i, 4*h + 0*h - s = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:01 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, 5, 20, 4.\nAnswer: 3, 4, 5, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.97 + 40. Let p be -1 - 0 - (-6)\/14. Which is the third smallest value? (a) p (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 2 = 21*n + l, -3*l = -n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2024786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 631*s + 191. Let t(j) = 2*j. Determine t(b(c)).\nAnswer: 1262*c + 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 16*i - 13*i = 124642, -2*i - 311624 = -5*f. What is the ten thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*i, 5*j + 7 = i - 4. Let s = -16.18 + 16.38. What is the nearest to j in 0, -3, s, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z + 91. Let k(i) = 8*i - 1. Calculate -4*k(j) - o(j).\nAnswer: -6*j - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595724904 divided by 16547914.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19656912.\nAnswer: 2, 3, 11, 59, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33345 - -0.16655. Which is the nearest to 1? (a) -3 (b) o (c) 2\/17 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/5)\/((-35)\/50) and 8\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, o: 4}. What is prob of sequence dod?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + g**2)*(-2*g - 1 + 1)*(572 + 24594*g + 636*g**2 - 622*g**2 - 24593*g).\nAnswer: -28*g**5 - 2*g**4 - 1144*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -291240864*j**4 + 346352073.\nAnswer: -1164963456*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*n. Is (n + 125\/2)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/6 - 5*h**3\/6 - 2*h**2 - 17*h. Let i be (-3)\/5*(-95)\/((-285)\/15). What is v(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -97\/2?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 2, i: 1, z: 1, t: 1, l: 1}. Give prob of sequence hz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (1 - 1) + 215 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -4*m, 3*w + 5*m = -w + 36. Do w and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -638 + 640. Find the first derivative of 17 - 4*m**2 + 165 - 217*m**2 - 32 - 23*m**z wrt m.\nAnswer: -488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - b = -4*s + 18, -2*s = -3*b - 19. Solve t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 61 (b) -0.1 (c) 0.4 (d) -2\/17 (e) -87\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*v - 16, 38*v = -4*c + 33*v - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -4, -1\/24, -0.9, -0.2, 42, 26?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -41 - (13 - 6 - 0).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/16*((-16)\/12)\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyyyyyyyyyyyyyyyyy. What is prob of sequence yyy?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {v: 1, u: 2, m: 7, h: 1, q: 9}.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/30 - 4*j**3\/5 + 28*j**2\/5 - j + 38. Factor f(i).\nAnswer: -2*(i - 2)*(i + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 6*k - 2. Let c be b(-5). Suppose 3*p = -i + 10, -4*i + 2*p + p = 20. Let d = i - c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/(2*sqrt(2)) + 1 - (sqrt(117) + -5 + 5)) + (1*sqrt(117)*1 - sqrt(117))\/(sqrt(4032)\/sqrt(7)))**2.\nAnswer: -5*sqrt(13) + 329\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q + 120. Let z = -30 + q. What is the smallest common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 876818945\/18 - 48692327. Let h = -19843 + p. Let m = 312\/11 - 811\/22. Calculate the common denominator of h and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9271a3 (base 12) to base 7.\nAnswer: 25331034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + 208664123\nAnswer: 208664123.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 170*o**3 + 171*o**3 + 2*o - 339*o**3 - 2*o - o. Suppose 4*i = -0*i. Let b = -1 + i. What is k(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6414363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(2 - 72\/27)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21869986*w + 70. Let l be x(5). Round l to the nearest 1000000.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -128*d**2 + 8196*d - 114. Give z(64).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -24. Suppose -w - 3 = -q. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-75)\/(-2))*5 + (-1749)\/165?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000027409516 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 75467896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - 4*m - 7. Let k(c) = 13*c**2 - 9*c - 15. Determine -3*k(d) + 7*y(d).\nAnswer: 3*d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 4*z - 20, 18 = -3*j - 3*z + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 496*u + 10190. What is k(-267)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -2*x**2 - 20. Let z(n) be the first derivative of n**2\/2 + 1. What is z(d(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 18*n**2 + n + 21. Suppose 3*i + 6 = r, 0 = 19*r - 23*r - 2*i + 10. Suppose -r*t + 8*t + 3*k + 84 = 0, 2*k + 32 = -2*t. Give l(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose 0 = -z + 3*k - 1, 2 + 0 = -2*z + d*k. Suppose 3*f + 2*f - 5*b = 15, 0 = 4*f + 2*b. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95895 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {e: 1, v: 4, w: 6, q: 2, p: 2, c: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 11, 2207 in decreasing order.\nAnswer: 2207, 91, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 405*n**2. Let x(w) = -883*w**2. Give d(x(h)).\nAnswer: 315774045*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(4\/9)*r))\/(r**(1\/4)\/r))**(1\/46) assuming r is positive.\nAnswer: r**(-25\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from enowk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r**2 + 12*r**2 - 29*r + 44*r + 6*r**2 wrt r?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -405*n + 414*n - 36. Solve t + 2*o - 6 = 0, -n*t - 3*o + 4 = -5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -5\/8 (c) -5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*p + 3*p. Suppose -34 + 14 = -5*x. Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -11\/2. Let n = a + 1\/6. Let r = -15 - -15.4. Sort -4, r, n in increasing order.\nAnswer: -4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**5\/60 - s**4\/12 + s**3\/6 + 80*s**2 + s - 218. Let j(c) be the second derivative of u(c). Determine j(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**4 + 87 - 21*d**4 - 2*d**4 - 14*d**4 wrt d?\nAnswer: -144*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/7 - 618*p**2\/7 + 13156*p\/7 = 0. What is p?\nAnswer: 0, 23, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298263160 to the nearest integer?\nAnswer: 17270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85))\/sqrt(5) + -5.\nAnswer: -4*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8 + d - 2 + 4. Let m be c(-8). Factor 12 + 14*g**m - 30*g + 8 - 2 - 2*g**3 + 0*g**3.\nAnswer: -2*(g - 3)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 + 1 = 3*m, 25 = 3*r + m. Let i be ((-1 - -1) + 2)\/((-18)\/(-36)). Suppose 0 = i*q + 25*q - 493. Calculate the remainder when q is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/l**3)**(22\/5) assuming l is positive.\nAnswer: l**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42245\/13 + -3257. Let z = n + 283\/26. Let o = -1 - -4. Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -44. Is -11 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 11335 - 41761. Let w be x\/(-33) + 6\/33. Round w to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/484 and -85\/24.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22256221 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 13*h**5\/5 - 2*h**4\/3 - 26*h**3\/3 + 4*h**2 + 7*h - 51. Let t(y) be the first derivative of i(y). Factor t(p).\nAnswer: 4*(p - 1)*(p + 1)*(13*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 8348 = -9*n. Let a = 4898 - n. What is a rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d - 37. What is q(4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (2 + 4)) + 0 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1258 and -51\/407.\nAnswer: 13838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -25, -3, 23, 47?\n\"Answer: -v**3 + 11*v**2 - 14*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 r when four letters picked without replacement from {t: 1, l: 3, r: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111951911?\nAnswer: 111951911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 34*c**2 - 28*c**2 + 118*c + 4*c**2 - 103*c to the form m + q*c**2 + r*c and give q.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3442 - 0.0558. Let j = -0.3 - -0.3. What is the nearest to j in -1, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -59.8, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -21. Let i = 0.95348 - 144.98048. Let w = i + 144. Which is the third biggest value? (a) w (b) l (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 46 - (-31 - -8)) + 1 + -46?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = -4*k - 20*k. What is the remainder when 97 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187028806921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11248)\/(-104) - 4\/26. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + -3 + 11 + 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {j: 4, f: 16}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 46672*l**3 - 46674*l**3 + 48*l**2 - 144*l**2 - 814*l = 0. What is l?\nAnswer: -37, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 14. Suppose -8*f + 3*f + 135 = w. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280352, -280292, -280234, -280178, -280124, -280072?\nAnswer: -280022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-2))\/((-450)\/120).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**5\/20 - 7*x**4\/12 - 7*x**3\/6 - 9*x**2\/2 - 7*x. Let v = -11 + 12. Let y be v*7\/((-21)\/18). Determine i(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 4697, -116 in decreasing order.\nAnswer: 4697, -1, -15, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 32. Let s be ((-36)\/(-6))\/(w\/40). Let a = -48 + s. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(9\/2)*c**(-25)\/c)**(-41))**(-17\/2) assuming c is positive.\nAnswer: c**(-29971\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 + -18 - -29).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10902503 by -6.\nAnswer: -10902503\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**6\/2 - 3*d**2\/2 + 10. Find the second derivative of z(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.6, 0.009, 8, 0.08?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/15 + 7*r**4\/12 + 8*r**2 - 7*r. Let s(d) = -d**2 + 5*d. What is -6*n(p) + 17*s(p)?\nAnswer: 7*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -41236706.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5590*a**4 - 3*a**3 + 2*a**2 + 6*a - 8 wrt a.\nAnswer: 134160*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Suppose -22 = -5*b + i. Suppose 1 = -4*z + b. Solve 4*f = z - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/881106 and 4\/171741?\nAnswer: 20265438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*x + 1301 = -4*t, -2*x = -2*t + 868. Suppose -2*s = c - t, -5*c + s - 2*s = -2139. List the prime factors of c.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-47)\/7 - -6) + 7755\/(-21). Let s = 184 + -552. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38283 + 38328. Solve -343 = -p*x + 62 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -84. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 54309002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4251 divided by -109.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = 0, 6*i = i + 3*k + 40. Let y(z) = z**3 - 5*z**2 + 2*z - 7. Give y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 - -159.3. Which is the biggest value? (a) v (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14354 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 272 in ascending order.\nAnswer: -5, 5, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5184277779946933\/36348 - -142628969665. Let i = 96\/3029 - m. Let o = i + 1585\/6. Find the common denominator of o and -29\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j - 2*j - 3*j + 3*j**3 + 7*j**3 to the form z + g*j + c*j**2 + r*j**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2546 (base 7) to base 5.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173071968*u**5 - 271*u**2 - 4*u + 1898 wrt u.\nAnswer: -10384318080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -55*x**3 - 1. Let f be k(-1). Let y = f - -81. What is the greatest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -10, -13 in descending order.\nAnswer: 0, -10, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/3 - (-894)\/18. Let p = 34 - 2. Calculate the highest common factor of p and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74)\/(-1)*56\/42*-24. Let r = 4374 + o. Round r to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196039 divided by 543\nAnswer: 196039\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/z**5)*z)\/(z*z*z\/(z**(1\/3)*z)*z*z))\/(z*z\/z**(-1\/4)*z*z*z)**49)**(1\/24))**(-2\/53) assuming z is positive.\nAnswer: z**(3059\/7632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6\/5, -16, 3, -0.051 in ascending order.\nAnswer: -16, -6\/5, -0.051, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.05 + 2.25. Which is bigger: x or -0.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34184626\/1663 - 20556. Let r = -9992\/11641 - v. Suppose -7*k - 15 = -4*k, 95 = 5*a + 4*k. Calculate the common denominator of r and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6\/11))\/h**5)\/((((h**16*h*h)\/h)\/h)\/h**19) assuming h is positive.\nAnswer: h**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q**2\/7 - 1863892*q\/7 + 71688\/7 = 0. Calculate q.\nAnswer: 1\/26, 17922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (187*24\/(-1224))\/(2\/(-18)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = 2*n - 14. Sort -15, n, 1.\nAnswer: -15, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91170640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*x**3 + 2\/7*x + 0*x**2 + 0*x**4 + 2\/7*x**5.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 606*y + 14. What are the prime factors of l(1)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Let z = -51.8 - -3.3. Let x = 48.5 + z. Sort x, -10, k in descending order.\nAnswer: k, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -8, 18 in decreasing order.\nAnswer: 18, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*n**6 - 1133*n**3*o + 18*n**2*o - 63*n**2 - 3*n wrt n?\nAnswer: 10440*n**3 - 6798*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.447 - 4.517. Suppose i + 4*i = 25. Which is the second biggest value? (a) 0.2 (b) -0.02 (c) j (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38800.8 plus -15122.74?\nAnswer: -53923.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 20*x - 2*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -8. Let u(g) = 30*g - 17*g - 13 - 11*g. What is the smallest common multiple of u(7) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 196419\/18 + 23\/(-138). Let g be 2048\/m - (2\/11 + 0). Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248136.9 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/(7\/21). Let s(m) = -4*m**2 - 35*m - 22. Let f be s(-8). Solve 0 = -t*a + f*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:44 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 3041130304?\nAnswer: -3041130302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 4*o + 54. Let m(c) = c**2 + 3*c - 53. Let w(a) = 7*k(a) + 6*m(a). Let s be w(-14). Put s, 2, -3, 1 in descending order.\nAnswer: s, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**5\/120 + t**4\/2 - 26*t**3\/3 + 13. Let c(n) be the third derivative of p(n). Determine c(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = 100. What is the remainder when 99 + 6\/(-21)*(4 + 17) is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.94836 litres?\nAnswer: 62948.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -101?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 1\/4, -2\/15, -3\/11, 3, 2.14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*o + 203. Suppose -219 = -2*g - 69. What is the greatest common factor of g and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 20. Is 8 a factor of (-4 - l)*-3*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, -37, -124, -257, -442, -685, -992, -1369?\n\"Answer: -s**3 - 14*s**2 + 2*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -15, -1046, -1, 1 in increasing order.\nAnswer: -1046, -15, -11, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2 + 3 - 1. Suppose 133 = 3*z - w, -3*z = -2*w - 97 - 37. Let f be 231\/z + 1 + 5\/(-4). Solve -14 = -3*n + r*v, 4*n - f*v + 1 = 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-2 + 2 + 2*u)*(267 - 5 + 268 - 11*u + 13) in the form a*u**2 + p*u + j and give p.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcjjcbfjfj. Give prob of sequence jcbc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) -1 (c) -0.1 (d) -5 (e) 11\/833 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18944 and 544256?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 338*l**3 + 9*l**2 + 6*l - 2. Calculate s(-1).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88492, 176962, 265432, 353902, 442372, 530842?\n\"Answer: 88470*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.37 + 0.63. Let u = -33 + q. Let v be -1*(17\/(-153))\/((-1)\/(-3)). Sort v, -0.4, u in increasing order.\nAnswer: u, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o - 731 = 249. Calculate the lowest common multiple of 70 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000471453 rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832 divided by 688?\nAnswer: 729\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, -31, -90, -173, -280?\n\"Answer: -12*n**2 + n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (1 - 3) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13133973, -26267952, -39401931?\n\"Answer: -13133979*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 + 241*q**3 - 3*q**2 + 22042?\nAnswer: -24*q + 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from lnliiflllffliliiil.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, z: 6}. What is prob of sequence gzzg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -116, -114, -112, -110?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04953732 (b) 3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -40*i + 275. What is n(9)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 71290382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139864 - 494668 = -12*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/190094832 and -35.\nAnswer: 190094832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 48*f**3 + 42*f**3 - 1050*f.\nAnswer: -f**3 - 1050*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:09 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -779*x**2 + 5*x + 5. Let f(y) = 26875*y**2 - 172*y - 172. Give 5*f(k) + 172*m(k).\nAnswer: 387*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 divided by 20193?\nAnswer: 869\/20193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.16, 32226, -0.3.\nAnswer: -12.16, -0.3, 32226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (3 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1741 - 963 = -3*y, 2*y - 1816 = 4*s. Suppose -y = 2*n - 4*n + 2*j, 429 = n + 3*j. Suppose -n = -5*c + 146. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34497000 to the nearest 100000.\nAnswer: 34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 21. Which is smaller: 4\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18\/5 + 103\/30. Suppose -3*r = r - 2*o + 2, 0 = 3*r + 3*o - 3. Is r less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(300) + 1 + sqrt(300))*-5 + sqrt(300) + 3 - ((3 + 1*sqrt(300))**2 - sqrt(300) - (sqrt(300) - (sqrt(300)*-1 - sqrt(300))*1 - sqrt(300))**2)).\nAnswer: -700*sqrt(3) + 4445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2 - o + 5 - 2*o - 6*o**2 - 2. Let d(f) = -f**2. Let q(n) = 3*d(n) - u(n). Is q(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/6 - 0 - 2\/6. Let l(b) = -6*b**3 - 51*b. Let d(m) = -4*m**3 - 34*m. Let w(i) = a*d(i) + 5*l(i). Find the second derivative of w(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 38 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442 divided by 6?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.356 + -0.144. Which is the second biggest value? (a) 4 (b) 14 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i + 60*i - 27 = 0. Suppose 0 = -2*r - 4*o - 3 - 19, 3*o + 18 = -i*r. Let p(g) = 3*g**3 + g**2 + g + 1. Determine p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7262 - 6650. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)*f*f*f**(-4))\/(f**(-1))**(-7\/4)*((f\/(f\/(f*f\/(f\/((f*(f\/(f**(-1\/5)*f*f))\/f)\/f))))*f)**(29\/3))**43 assuming f is positive.\nAnswer: f**(4853\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 78.8. Let y = d + -0.8. What is the nearest to -2 in y, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2684259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6159 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u + 5*d = -81*u + 231, 119 = -8*u + 3*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/148 and 97\/10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165741510?\nAnswer: 2, 3, 5, 11, 502247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60896 is divided by 300.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1675 + 3?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 + 230 + 8*f + f - 3*f - 4*f to the form l + k*f and give l.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -364380 and -10.29.\nAnswer: -364390.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 5*a + 19, 5*d + 50 + 46 + 48 = -4*a + 88 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68625*j*v + 56802*j with respect to v.\nAnswer: 68625*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b + 11*b - 60*b + 20*b + 27*b + 7*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 4, 0, 5, -1 in ascending order.\nAnswer: -1, 0, 4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11544 rounded to three decimal places?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057115017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20380311.3 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*g + 9*s + 135, -4*g - g - s - 25 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 2, v: 2}. Give prob of picking 1 o and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 2, z: 2, q: 1, g: 1, i: 1}. Give prob of picking 1 z and 2 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -518?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 35, -761, -15 in descending order.\nAnswer: 35, 5, 2, -15, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3959 (base 10) to base 2.\nAnswer: 111101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -221220002101 (base 3) in base 14?\nAnswer: -d3a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, q: 5}. Give prob of picking 2 q.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 6) in base 11?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1152 take away 1.371?\nAnswer: -1.2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 13. Let l = 15 - f. Let h = -5 + l. Is h < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 7*k**5\/6 - 29*k**4\/6 - 185*k**3\/6 + 219*k**2\/2 - 15*k = 0.\nAnswer: -5, 0, 1\/7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41336 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1142277540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -16 - 14 - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7414ml to litres.\nAnswer: 0.0017414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 317957602\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -27732799\/3 bigger than -9244266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792\/33 != 236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p + 14*p)*(-6 + 534*p - 4 + 10) as g*p + x + o*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 28601611*l**2 - 4*l + 2*l.\nAnswer: -28601611*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25146184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - ((7 - 6) + -5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 6*s**2 - 7*s - 4. Calculate the remainder when k(-5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 15 = z - 27, -z - 11 + 12 = -4*n - 17 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/60 - 3*g**4\/8 - g**3 + 189*g**2. Calculate a(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -78*k**3 + 6*k**2 - 769*k - 10. Let p(o) = 93*o**3 - 7*o**2 + 768*o + 12. What is -5*p(g) - 6*u(g)?\nAnswer: 3*g**3 - g**2 + 774*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + (-1)\/(-5)*25\/(-15). What is the second biggest value in 0.1, r, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 18*n - 14. Let a be k(10). Find the third derivative of -30*y**3 - y**2 + a + 5 - 21*y**3 + 0*y**2 wrt y.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1751*a**6 - 2064*a**4*n + 194*a**2*n + 800*a**2 - 2*a*n - 2*n - 4 wrt a?\nAnswer: 210120*a**3 - 49536*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1739867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5 (c) 273 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 10*t**2 - 77*t - 438. What is j(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 - 2 - 2*a**3 + 3*a - a**2 + 15*a**3. What are the prime factors of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -6891 (c) -4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 - 5*j**4 + 3*j**4)*(-50 + 119 - 28) + 27*j**2 + 6*j**4 - 27*j**2.\nAnswer: -199*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636500 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-474)\/1106)\/(((-115)\/(-92))\/((-21)\/(-6))*-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400101 - 4?\nAnswer: -400110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 75 = 0. Let r be (-9 - -1)\/((104\/(-12))\/13). Let f = c - r. Solve -p - t = -7, 0 = 4*p - f*t + 5*t - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/40? (a) 3\/2 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9664841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 8321823.6911\nAnswer: 8321823.4911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/30 + 5*l**4\/8 - l**3\/2 + 6*l**2 + 3*l. Let a be d(-8). Solve 2*m + a = -5*k, -m - 25 = 3*m - 5*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*s + 15, 9*h - 5*s + 25 = 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**2 + 0 - 1\/9*z**3 - 7\/90*z**6 + 3*z + 1\/30*z**5 + 7\/36*z**4. Factor q(p).\nAnswer: -p*(p - 1)*(p + 1)*(7*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -4, 8, -1 in decreasing order.\nAnswer: 8, -2\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -108. Let x(y) = 7*y - 36. Let v(d) = 3*d - 18. Let u(w) = 9*v(w) - 4*x(w). Let s be u(f). Let k(o) = 5*o**2 + o. Determine k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -4c8?\nAnswer: -4de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(8)\/sqrt(4)))\/((sqrt(30)\/sqrt(2))\/sqrt(5)) + -1.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 522.36 and 0.95101065.\nAnswer: 523.31101065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 2*p**3 - p**2 + (-2*p**2 + 4*p**2 - 9*p**2)*(12 - 9*p - 12) + 2 + 4*p - 4*p - 2*p**3.\nAnswer: 63*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u - 15*u + 9*u**2)*(570*u**3 - 816*u**2 + 401*u**2 + 415*u**2).\nAnswer: 5130*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605) + 5 + 3 + -4 - (((1*sqrt(605) + -1 - sqrt(605)) + sqrt(605) - (4*(-1 + sqrt(605)) + sqrt(605))) + -4))**2.\nAnswer: 440*sqrt(5) + 15141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 16. Sort 1, 0, g, -1.\nAnswer: g, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22322 + -10?\nAnswer: 22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o - 35. Let t(r) = -9*r - 70. What is -6*t(i) + 13*u(i)?\nAnswer: 2*i - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 - 2776*f**3 - 10*f + 11 + 6 + 54*f wrt f?\nAnswer: -16656*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - 11*b**2\/2 - 10*b - 1. Let o be v(-10). Let c be (-2 - o) + (-12 - -15). Sort -3, 3, c in increasing order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.8, 1, 0, 11\/3 in decreasing order.\nAnswer: 11\/3, 1, 0.8, 0.6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*l - 62 = 147*l. Solve -5*p - 3*k = -2*k + 27, l*k = p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43 - 6\/((-24)\/(-28)). Let k be 704*3\/h*6. What is the highest common factor of k and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.3, 0.1, -4 in decreasing order.\nAnswer: 0.1, -0.3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -20. Sort -2, -4, l in ascending order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -49, -73, -115, -181?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*m + 4. Let w = -1.2 + 0.7. Let v be 99\/(-495) + 11\/(-20). Which is the third smallest value? (a) w (b) v (c) 11 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 15 = 0. Suppose -p*o = -87 - 868. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7473177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462419 is divided by 331?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2274.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.87 + -0.13. Let a = g - -4. Suppose 1223 - 1128 = -19*w. Sort a, -0.5, w in decreasing order.\nAnswer: -0.5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -524267\/36 - -14567. What is the common denominator of (-2)\/6 - (-39)\/(-4) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-34))\/(4\/(-6))*3116\/(-57)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o**5 + o**2 + 0*o**4 - 112 + 0*o - 14*o**6 + 16\/3*o**3. What is the third derivative of i(m) wrt m?\nAnswer: -5040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t + 1 + 2*t**2 + t**2 + 2. Let m be u(-5). Let p(q) = q**3 - 6*q**2 - 9*q + 1. Let d be p(8). What is the greatest common divisor of d and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255015299?\nAnswer: 3, 418338433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 40 + 40. Let d = -2 + b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 343, 291, 241, 193, 147, 103?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -8594\nAnswer: 69\/8594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 16*b + 21. Let r be g(-17). Suppose -5*a = r*a - 4905. List the prime factors of a.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = 4*a - 4*t, -9520*a + t = -9523*a + 20 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 1. Let f be d(-5). Let s = 18 - 1. Let x be 9\/(-3)*s\/(-3). Solve -3*a - x = -5*v, -2*a + f*v = a + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (0 + -1)) + (38 - (24 - -11))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 4:13 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = -t + 4*d, 2*t + 3*d + 1165 + 110 = 0. Let x = t + 650. Put 13, x, 3 in descending order.\nAnswer: 13, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:22 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8540783 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 5 + -3 + -215 + 213.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = 4*j, g + 2*g - 15 = 2*j. Let x(n) = n + 12. Let k be x(j). What is the second smallest value in k, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107008 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -614, -850, -1072, -1274, -1450?\n\"Answer: x**3 + x**2 - 246*x - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17551.2 + -17537. Is 0 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1767 + -758. Let g = -8859 + 8863. Suppose -t = -g*b - 77. List the prime factors of b.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -v - 2*b, 2*v - 4*b - 149 = 79. Let s = 1101 - 1081. Calculate the greatest common factor of v and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -153400?\nAnswer: 767000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 - -203. Let r(f) = -26*f**2 + 4. Let h(u) = 0*u + 33*u**2 - 32*u**2 + 0*u. Let a(m) = j*r(m) + 6*h(m). Find the first derivative of a(l) wrt l.\nAnswer: -40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -913, -210\/13, -0.11.\nAnswer: -913, -210\/13, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -206*x**2. Let k(p) = 5*p + 9. Give n(k(a)).\nAnswer: -5150*a**2 - 18540*a - 16686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -57*u + 275. Calculate the remainder when m(-8) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 49*v**2 + 4. Let j be d(49). Find the third derivative of 3*q**j + 11*q**2 + 12*q**6 + 2 - 5*q**2 - 5*q**2 - 21*q**6 wrt q.\nAnswer: -1080*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbpb when four letters picked without replacement from bjbxpxpjpxbxjj.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 22*w**2 - 31*w + 50. What are the prime factors of p(-22)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 25*h - 116. Suppose -m + h*n = -1761, 2667 = 2*m - 2*n - 825. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, 0.02, 5 in increasing order.\nAnswer: -1\/16, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 447.6344 years?\nAnswer: 5371.6128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120065 + 5?\nAnswer: -120060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -56 + 6. Find the common denominator of 226*(6 - (-284)\/(-48)) and u\/16*(-60)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*z + 7, 5*h + 5*z = 2*h - 9. Let f(w) = -w**2 + 3*w. Let j be f(h). Put j, 4, -2 in ascending order.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -14 - -12 - (-88 + 100).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 5*v**2 + v. Let o be b(-5). Let d(r) = r**3 + 6*r**2 + 2*r - 2 + 3*r - 2. Let w be d(o). Put w, 1, 5 in ascending order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d**2 - 3*d**2)*(-122*d - 242*d - 38*d).\nAnswer: 402*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/89 bigger than 11.104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/66 - 7*i**3\/33 - 8*i**2\/11 + 2*i + 13. Determine j, given that z(j) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -165963?\nAnswer: 33192.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.4 - -77.6. Let y = -45419690.9999844 + 45419779. Let h = y - v. Round h to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18938214 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28242021?\nAnswer: 3, 73, 128959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/24 + g**3\/3 - 26*g**2. Give o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c. Let r be w(-1). Let b(n) = n + 13. Let g be b(r). Is -2 + g - 7*-11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 1\/4*u**3 - 27\/4*u - 7\/2.\nAnswer: (u - 14)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*z - 2*k, -k = 4*z + 13 - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 + 3.165. Round q to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-12) + 23676\/48.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286094521?\nAnswer: 286094521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 8 + 5 + 3.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -44 - (-6 - (11 - 20) - -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9515203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b\/b**(1\/3))\/b))\/b)**(-2\/35))**26)**(-2\/17) assuming b is positive.\nAnswer: b**(104\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(612\/(-24))*3\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3 = -3*q - 5, q + 14 = 2*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 36*b**3 + 2*b**2 + 38*b - 1780. Give g(0).\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 839063 + -1256973. What is t rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*i + 379755 = 16*i - 2246895. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -117. Calculate the least common multiple of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, -20.3, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let r(s) = -24*s + 90. Let f(h) = 5*h - 18. Let a = 112 - 109. Let y(w) = a*r(w) + 14*f(w). Let u be y(11). What is m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47383632598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 472 and -3164?\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -43, -2, -127?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1127 - -1145. Calculate the highest common factor of 414 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 733990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 845515?\nAnswer: -845520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1120*s**3 + 8*s**2 + 8*s + 13. Does 111 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -738, -2783, -6126, -10761, -16682, -23883?\n\"Answer: z**3 - 655*z**2 - 87*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -740069 and -740068 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292*f + 199*f + 179*f)*(2 + 3 - 4)*(-270 + 15*f + 270).\nAnswer: 1290*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 1\/300*d**5 - 12*d - 19\/120*d**4 - 2*d**2 + 3\/5*d**3 + 0. Determine g, given that u(g) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10\/7 (b) -1\/2 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 7, -0.085, -5?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10489 is divided by 1035.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16165 + 1609 - 16870 - 5179 + 3759 - 37020)*(0*h + 4*h - h).\nAnswer: -209598*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -585*f + 581*f - 16, -25 = 4*f + 5*g + 23 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*o**3*p + 54234*o**3 + o**2*p + 11*p**2 - 74*p wrt p?\nAnswer: -9*o**3 + o**2 + 22*p - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 2*g**2. Let t be b(1). Suppose -5*f + 4 = 3*m, -5*m + t = -f + 13. Factor 17*d**2 + 12*d - 3 - 5*d**f - 9*d**2 - 12*d**3.\nAnswer: -3*(d - 1)*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 - 5101*d**4 + 640132*d**3 - 12630224*d**2 + 61950144*d + 75225600 = 0 for d.\nAnswer: -5224, -1, 12, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(325) + -1) - sqrt(325))**2.\nAnswer: -200*sqrt(13) + 8141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8.000126. Round h to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + g - 6*g)*(-1705 - 1488 + 402) - 2*g + 4*g - 4*g to b*g + y and give b.\nAnswer: 2789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23787877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 - -301. Let p = f + -105. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112127 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 1112, 1610, 2092, 2552, 2984?\nAnswer: 3382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -92*y**3 + y. Let a be ((-9)\/(-6))\/((-3)\/(-4)). Suppose -b + a = -w + 1, 4*w + 4 = -b. Is v(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -69, -142, -213, -282?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/21 - ((-24)\/(-7) - 4). Let j = 15 + -23. Is j at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-735)\/12)\/((-43064)\/(-24608))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450044013 (base 6) to base 15.\nAnswer: -aa7286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 13. Let w(n) = n - 12. Calculate 4*c(t) + 5*w(t).\nAnswer: t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7))**(1\/4)\/((a**(-1\/3)\/a)\/(a*a**2*a)*a**(2\/11)) assuming a is positive.\nAnswer: a**(4727\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 + -378.9397.\nAnswer: -186.9397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.21 - 0.01. Let p = x - 24.726. What is p rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8374 + -4023. Suppose -34 - f = -5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/44*(-12)\/(-9).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1079345*k**2*v**3 - k**2*v - 4*k**2 - k*v**3 + 180*k*v**2 - 1018*v**3 - 7 wrt k.\nAnswer: -2158690*v**3 - 2*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = p + 3*p - 19, 5*p + 7 = -4*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t. Let q(j) = 7*j. Let p be 4 - 1\/(3*(-3)\/9). Let u(v) = p*a(v) + 7*q(v). Suppose 4*m - 3*m = -5*l + 22, 5*m - 4*l + 35 = 0. Give u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p + 10*p - 13*p + 11*p + 25 with respect to p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:07 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/(-7) - (-8)\/(-28). Let n = -3 - 1. Let j = n + m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.5 rounded to the nearest integer?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -8. Let r = z + 5. Let y = 4 - r. Calculate the lowest common multiple of y and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 f, and 1 n when three letters picked without replacement from zxyfafzyfynyy.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13531 or -0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2. Let r(y) = -4*y**2 - 6*y + 6. Let t(d) = d - 1. Let h(g) = -r(g) - 6*t(g). Give h(o(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30 and 19\/303257716?\nAnswer: 303257716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 4205\nAnswer: 1261.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 495583147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607053 + 353.4334.\nAnswer: 607406.4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3062*o**3 - 19*o**2 - 2*o?\nAnswer: 18372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b - 12 - 4*b**3 - 61 - 17 + 92 - 2.\nAnswer: -4*b**3 - 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2089.978 + 2092. Let z = j - 0.062. Let o = 0.04 + z. What is the smallest value in o, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0 + 3*x**2 - 1\/60*x**5 + 0*x**3 + 0*x + 1\/12*x**4. Factor s(p).\nAnswer: -p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 45, 64, 81, 96, 109, 120?\n\"Answer: -s**2 + 24*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 127 - 115*y**2 + 232*y**2 - y**3 + 30 - 118*y**2. What is the units digit of q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 4\/(-8))*-2. Suppose 0 = d*o - 3*l - 119, 3*o - 75 = -2*l + 5*l. Suppose -34 + 0 = -2*x + c, -3*c = -x + o. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(4\/9)*g*g**(-14)*g**(11\/5)\/g**21)**(-32) assuming g is positive.\nAnswer: g**(44992\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 4\/81, 3\/4, -1\/3?\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 15*s + 13. Let k be 12\/4*(2 + s). Suppose 3*r - j + k = 4*j, -j = r - 7. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 648ea + 6?\nAnswer: 64901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005820 divided by -18460?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4683b1 (base 12) in base 8?\nAnswer: -4247065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21736 and 2486341.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19026.5 + 23588.91. Let d = s - 4598. What is d rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/3 - 178*y**4\/3 - 1328*y**3\/3 - 864*y**2.\nAnswer: -2*y**2*(y + 4)**2*(y + 81)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207744836 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24) - 16\/64.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 77. Determine r(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:45 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15802)\/495 + (-2)\/9. Let v = o - -468\/11. What is the common denominator of -95\/2 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 4:13 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1122 and -49\/220.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6443 + -77255\/12. What is the common denominator of 99\/8 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*h*n**2 + 174262*h*n - 2*h*u + 13*n**2*u - 5*n**2 - 1162*n*u - 15*u with respect to h.\nAnswer: 6*n**2 + 174262*n - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5241.\nAnswer: 26205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:52 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/150 + u**4\/20 + 2*u**3\/15 + u**2. Factor f(o).\nAnswer: 2*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3 - -11)*(7 - 0). Let m = z - 48. Let b = 190 + m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*n - 50 - 58, n - 25 = -r. What is the third biggest value in r, 4, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10146704 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-3 - (-9)\/2). Let o be (-4)\/y - (-2)\/(-7). Sort -0.1, o, -1 in descending order.\nAnswer: o, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvkvvvvvkvvvvvvv. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 6 = 3*a, -a - 1008*c - 2 = -1007*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -21. Suppose 3*r = k*t - 2, 0 = 3*t - 3 - 0. Solve r*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/(615\/369)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 - 1 = 4*s, 5*s - 5 = -5*d. Let x = 96 - 17. Suppose s*l = h - 1 + x, -3*l = 5*h - 60. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 + 202210?\nAnswer: 203102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 2, j: 6, w: 3, a: 1, t: 4}. What is prob of picking 1 w and 1 t?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/1872554 or -1?\nAnswer: -7\/1872554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30\/17 - 137\/68. What is the nearest to r in 0, -3, 1, -5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t**2 - 1. Let s be r(-1). Let f be (-7)\/(-14)*(8 - 0). Solve 4*d = 3*k - s, f*d - k = 5 - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - 8*t**2 - 7*t**3 + 7*t + 13 - 14*t**2. Let r(x) = 8*x**3 + 18*x**2 - 8*x - 12. Let o(i) = -3*m(i) - 2*r(i). Find v, given that o(v) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7217*u + 7241*u = 144 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76482 + -52201. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36068726?\nAnswer: 2, 19, 53, 17909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180826, -723298, -1627412, -2893168, -4520566, -6509606?\nAnswer: -8860288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3 = -l, 4*z - 26*l - 9 = -29*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:30 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593080089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o. Suppose 5*t = 3*k - 116, -2*k - 5*t + 46 + 23 = o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/121 + -601\/242. Let s be 1*0\/((-6)\/(-3)). Which is the closest to s? (a) 3 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}