diff --git "a/data/dm_maths/full_data_1/2313_11255.jsonl" "b/data/dm_maths/full_data_1/2313_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2313_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (162 + 135 - 2*h + 149)*(-494 + 494 + 36*h).\nAnswer: -72*h**2 + 16056*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(3 + -9). Let z be (43\/(-86) - (-6)\/(-4)) + 5. Sort 5, 2, a, z in ascending order.\nAnswer: 2, z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 + 1.14. Let i(v) = 171*v + 2910. Let w be i(-17). What is the nearest to w in 7\/4, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.6 * 6830.\nAnswer: -79228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 4*k - 4*a, -225 = -2*k + 2*a + a. Suppose b - k = -0*b. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 times -1.2?\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -12) + 10 - 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42950447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 3*z)*(148 + 925 - 126).\nAnswer: 947*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*s + 522*s + 467*s + 382*s - 312*s.\nAnswer: 937*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7243258, 7243241, 7243224, 7243207, 7243190, 7243173?\nAnswer: 7243156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l - 2439 - 2723 = 21*l. What is the highest common divisor of 6052 and l?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -258, -466, -666, -858, -1042, -1218?\n\"Answer: 4*h**2 - 220*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8228?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91707597?\nAnswer: 3, 587, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212108 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 - 30 - (-141)\/6. Let r(p) = p**3 - 4*p**2 + 4*p - 1. Let s be r(3). Find a such that 0 - 3*a - h*a**5 + 15\/2*a**4 + 27\/2*a**3 - 15\/2*a**s = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3 + 197. Let l be 75\/g - (-3)\/24. Solve 24 = 4*w + 4*h - 4, 0 = l*w + h - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1685 and -67\/110.\nAnswer: 37070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217225 is divided by 4131.\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 11 = -211. Solve -5*o = 3*y - 2*y - i, 5*y = o + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 11*y - 9. Let u be h(-17). Let t = -108 - u. Solve -m - t + 0 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 + 51535*a**4\/2 + 901279*a**3\/2 + 373342*a**2 - 849750*a = 0.\nAnswer: -25750, -33\/2, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2972, 3425, 4172, 5207, 6524?\nAnswer: 8117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7620.599t?\nAnswer: 7620599000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616248 and 2430.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.086021*-169.\nAnswer: -14.537549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(28))\/sqrt(4))**2 + 2 + 1*((sqrt(567) + 2)*1 - sqrt(567))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(1323\/54))\/((-3)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -64. Let j = 7 - 3. Suppose k*r - 2*r + j*l - 16 = 0, 6 = 2*r - l. Which is smaller: r or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 3*u**7\/280 + u**4\/3 - 4*u**3\/3 - u**2. Let z(o) be the first derivative of q(o). What is the derivative of z(t) wrt t?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 + 5828*j**3\/7 + 17466*j**2\/7.\nAnswer: 2*j**2*(j + 3)*(j + 2911)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 276 - n + 145.\nAnswer: -n + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62607 is divided by 1459.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1726*k**3*l**2 + 2722*k**3 - k*l**2 - 6*k*l + 49659*l**2 wrt k?\nAnswer: 10356*k*l**2 + 16332*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586477?\nAnswer: 3, 862159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t + 3*y - 5, 15 = 5*y. Let x be (-24)\/63 + t\/7. Which is greater: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117431, 469774, 1057019, 1879172, 2936239?\nAnswer: 4228226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*z + 67. Let n = z - 14. Let l be -4 + -4*n\/(-2). Solve -4*g - 10 = -l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129206\/105001 + -2\/8077. Let o = n + 383\/26. What is the common denominator of -55\/6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 8*t**2 + 19*t - 5. Give u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 15, 5*b + 2*y = y + 213. Find the common denominator of 137\/18 and 183\/15*(-3 + 111\/b).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 7 = 10*p + 5*g, 0 = p + 3*g. Let u be 12\/5 - 2\/5. Let b be 10\/((-1)\/(-3)*u). Solve -3*o = -p + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8109 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3136, -151, 3, 4, -4, 5 in descending order.\nAnswer: 5, 4, 3, -3, -4, -151, -3136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1242447 + -1242103. Let a be 43*(3 + -2)*1. Calculate the greatest common divisor of d and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*t - 3537 = 6039 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16865 times 0.014\nAnswer: -236.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3376*x**5 - 8424*x**4 + 6923*x**3 - 2077*x**2 + 201*x + 1 = 0. What is x?\nAnswer: -1\/211, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 352806.999 to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f + 2. Suppose 2*u = -f*u. Suppose 0 = -n + 4*l + 18, u = 5*n + 3*l - 37 - 30. Calculate the least common multiple of n and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-148)\/(-170)*(1190\/(-84) - -15) and -77\/552.\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7602 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 21*x**2 - 20*x + 3. Let i = -208 - -188. Let w be z(i). Solve w = 4*k - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-11\/8)\/y*y**(2\/77)\/y*y*y**(-36)*(y\/((y\/((y*y**(-1\/46))\/y))\/y))\/y assuming y is positive.\nAnswer: y**(-543637\/14168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1671692\/5 - -335872. Suppose 5*r + 7728 = -k + 5*k, 4640 = -3*r + 4*k. Let a = d + r. What is the common denominator of 47\/7 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -454\/7. What is the third smallest value in -5, -1\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*z = 2*m - 15, 0 = 5*m + 4*z + 2. Let s be m + (203 - (0 - 2)). What is the greatest common divisor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -213765000 to the nearest 100000.\nAnswer: -213800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, -74, -8 in increasing order.\nAnswer: -74, -8, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21101888 and 2?\nAnswer: 42203776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -18*z**4 - 7826*z**3 + 223158*z**2 + 2564666*z - 580860 = 0.\nAnswer: -461, -9, 2\/9, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/379 and 26?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 103\/13, 4, 6\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11725 and 2683618.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-1))\/((-2)\/(-5)). Let f be -4*h\/24*2. Let w = 11 - f. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10656 is divided by 3934.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*w**2 - w**4 + 5*w**4 - w**3 + 2*w**4 + 3*w**2 as h*w**2 + y*w + j + k*w**3 + t*w**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0)*(4 + (-186)\/48).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)*z*z**(-4\/3)*(z**(-2\/7)*z)**(-2\/85))**(-2\/87) assuming z is positive.\nAnswer: z**(988\/93177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(126)*6)\/sqrt(2) + 4 + sqrt(14)\/sqrt(2)*6 + -3 + -3.\nAnswer: -48*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(-45))*x*x)\/x*x\/(x\/(x\/x**(-25\/2)))*(x\/((x*x**22*x)\/x))\/x**(-2\/35) assuming x is positive.\nAnswer: x**(-3741\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 148032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1385, 141181, -3 in increasing order.\nAnswer: -3, 4, 1385, 141181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -398494 + 5232*k**2 + 398494 in the form a*k + d*k**2 + h and give d.\nAnswer: 5232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96767 or 96690?\nAnswer: 96690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/2)\/h)\/(h*h*h*(h\/(h*h**(13\/3)))\/h) assuming h is positive.\nAnswer: h**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/5)\/w*w)\/(w*w\/(w*w\/w**(-7\/6))) assuming w is positive.\nAnswer: w**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 2*g + 93, -4118*g + 4141*g + 1064 = -6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - (-2 + 3 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 175, -3, 0.2?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 520 - 519.9. Let f(s) = -s**2 - 12*s - 5. Let u be f(-11). Let o be (5\/2)\/((-3)\/u). Which is the closest to k? (a) 4 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 42. What is the closest to f in 5, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001201001 - 2?\nAnswer: 10001200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1043*c**3 + 13705*c**2 + 3313*c - 9166.\nAnswer: 6258*c + 27410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -3. Solve 8 = 4*t, j = -5*s + 5*t - 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/3960980 and -53\/338.\nAnswer: 669405620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928003075 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 27\/107622854 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1060 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 19. Let r be h(-19). Solve 3*a + r*g + 24 = -3*g, g = -3*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 547 + -551. Put v, -49, 0, -2 in increasing order.\nAnswer: -49, v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5247, -10822, -16397?\nAnswer: -21972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71376 and 6?\nAnswer: 71376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 42. Let x = j - 5. Let l be -3*(-21)\/(-18) + 0. Sort l, x, -3\/5, -4 in decreasing order.\nAnswer: x, -3\/5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10 and 55\/30902.\nAnswer: 154510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (77\/2)\/(7\/(-560)*-4). Let n = 1394 - d. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjhj when four letters picked without replacement from {h: 6, j: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25985021 and 2378.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12*10\/(-4 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 4*c. Let v be ((-2)\/(-4))\/(c\/(-4)). Let p = 2 + v. Solve p = -0*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/6 + y**4\/8 + y**3\/2 - 146*y**2. Let k(x) = 189*x**2 - 56*x - 56. Let a = 300 + -356. Determine a*p(r) - 3*k(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.35569 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 549948?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1490*u + 8 + 2714*u + 6 - 15 in the form g*u + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -35*o + 1\/75*o**5 + 1 + 4\/15*o**4 + 0*o**3 - 35\/2*o**2. Let m(r) be the first derivative of t(r). What is p in m(p) = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + -2. Let o = s + 168. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39179\/8 - 4908. Find the common denominator of 3 - 2*(-71)\/(-48) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2*k**3\/3 + k**2 - 4*k. Let g be j(-1). Which is the smallest value? (a) 0.5 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 356*n**2 + 368*n + 12.\nAnswer: 4*(n + 1)*(89*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 3 + (-160 + 56 - -98)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2884833 divided by 1827\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and 4496.\nAnswer: 13937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1608 + 1610. Let b(h) = h**3 + 5*h**2 - 3*h + 7. What is the smallest common multiple of b(-5) and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297080 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*20\/((-520)\/221)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 22215 (b) 2\/7 (c) 3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28728 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 - 0 - 1\/(-1). Let b(n) = n**3 - 9*n + 14. Let x be b(3). Suppose x*z = s*z - 14. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 8*r**2 - 4. Let m(d) = 1 + d**3 - 3*d**3 + 3*d**3 - d**2. Let j be ((-528)\/(-38) - 13) + (-16)\/(-152). What is j*y(l) + 4*m(l)?\nAnswer: 2*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let k be (-6)\/1*(-3 + 2). Suppose u = 3*p + 3*u - k, 4*p = 2*u + 8. Let v(z) = -z + 4*z - 3*z - z**p. Calculate v(j(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 42. Let f = -15 - t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 + -355. What is the closest to -0.3 in 3, -5, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -336, -512, -684, -852, -1016?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - h - 11 = 0, -n - 2 = -h + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -77.\nAnswer: -16\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-96)*(-7 - -1). Is -3\/49 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 79*z**2 - 77*z - 77. Let n be r(78). Which is smaller: 675 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 4. Let t(l) = -21*l + 5. Let j(n) = 6*p(n) + t(n). What is j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 1 = 4*z, -2*z + 9 = -5*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 933263128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -4 + -39 + 2 + -6 + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/9)*k)**(-1\/39)\/((k*k**0)\/k)**(-1\/15))**(-3\/4) assuming k is positive.\nAnswer: k**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54824743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*z - 33, 30*m - 26*m + 27*z = 22*z - 121 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0680327 to 4 decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 167 = -10*k. Let i be (64\/k)\/4 - 112\/(-21). Solve -i = -o + 3*c + 5, c = 5*o + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 198 = -2*q. Let r = -95 + 95. Suppose o - 2*t - 8 - 3 = r, t + 14 = o. What is the remainder when q is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*8\/((-728)\/13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 3. Let g(d) = 11*d + 187. Give -g(j) - 3*u(j).\nAnswer: j - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*a + 7247 + 392 = -391*a - 24290 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**(-3\/5))\/t*t\/((t**8*t)\/t) assuming t is positive.\nAnswer: t**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5086529938?\nAnswer: 2, 7, 19, 19122293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 40116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 - 13*c**2 + 1\/6*c**3 + 0*c. Let l(g) = g. Calculate 2*f(d) + l(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*16.277633.\nAnswer: 130.221064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3\/35896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -0.7, 1\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 11*l - 9. Let g be s(8). Let j = 83 - g. Suppose 2*f = 6*f - j. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 12*g**3 - 84*g**3 + g**3 to the form k + i*g**3 + j*g**2 + a*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2 - 2*z + 2 + 4*z + 2 - 2 - 139 + 139 + 22*z + (2*z + 3 - 3)*(0 + 1 + 1).\nAnswer: 28*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(128)*1 + sqrt(2))*5)\/((sqrt(96)\/sqrt(4))\/sqrt(12)*3*-6))**2*5.\nAnswer: 625\/26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**2 + 1455*l + 4372. What is m(-3)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.1153427063 + -0.1153431263. Let c = -58 - -35. Let d = c + v. Round d to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1344)\/1920 + 6\/(-8)*-2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/3 + g**3\/3 + 233*g**2. What is j(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 10:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13159490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ab (base 12) to base 14.\nAnswer: a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104163 is divided by 6944.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 1. Let z(f) = 26*f - 1 - 30*f - 5 + 3. Calculate 6*x(b) + z(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 148?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17964.83 rounded to the nearest 10?\nAnswer: -17960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by ((-12)\/(-6)*-66)\/(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15466 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 10*o - 35. What is the lowest common multiple of 1 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155002 - 155007 - 155075 + 620084 - 155000 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*f - 24, 92*c - 93*c - 5*f - 9 = 0. What is the highest common divisor of 171 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.061 and 3?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 94. What is the remainder when 191 is divided by a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 1, a: 3, w: 1}. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 571*y**5*z**2 - 291*y**5 - 1877*y - 29*z**2 wrt y.\nAnswer: 11420*y**3*z**2 - 5820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8. Let j(l) = 10*l**2 - 29*l + 32. Determine -j(h) - 4*r(h).\nAnswer: -6*h**2 + 29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/60 + l**4\/8 + l**3\/3 + l**2 + 44. Determine p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 36.2 (b) -314 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 3. Let r be f(3). Let p be -3*(1 + 0\/(-2)). Is r - (-2 - (p - 0)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414701857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143048 + 1574570\/11. Let d = 55126477\/3432 + -622270\/39. Let m = g - d. Find the common denominator of m and -75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:15 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31376086 less than 31376079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 541129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 7*w**2 + 8*w + 8. Let f(p) = 3*p - 5. Let u be f(4). Let k = 1 - u. Let b be g(k). Let y(t) = t**2 + 3*t - 4. What is y(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*q + 15 = 0, q = -4*s + 12 - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106249755 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + 0.1. Let n = l + -0.02. Let b = n + -0.26. Sort -1, b, -2 in descending order.\nAnswer: b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3510995 = -72*j + 1223797. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 313 + 391 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94.64135 milligrams?\nAnswer: 0.09464135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-12 - (-16 + -15 + 12))) + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + q + 1 = 17, -z - q - 9 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/4 - -2) + (-50)\/(-8). Suppose 0 = -4*b + 56 - 16. Let y = b + s. What is the greatest common divisor of y and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.89933873 and -0.1?\nAnswer: -0.089933873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 392*v**5 + 17528*v**4 - 312598*v**3 - 426088*v**2 + 11217290*v + 28653044 = 0.\nAnswer: -58, -7\/2, 71\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 + 3*i**4 - 94428*i**3 - 2365813*i**2 wrt i?\nAnswer: -120*i**2 + 72*i - 566568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361644525 to the nearest integer?\nAnswer: 19017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 677053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 20*b + 26*b = 22*b - 342, 88 = 4*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, b: 2, o: 4}. Give prob of sequence oo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1843247127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -108, 0, -332, 5, -5 in ascending order.\nAnswer: -332, -108, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 4. Let z be (-16)\/q*(-4 + 1). Let p = z - -19. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2 - 173. Let i(u) = 4*u - 6. Suppose 0*s + 18 = -3*s. Let x(f) = f - 1. Let k(j) = s*x(j) + i(j). Determine k(n(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.48 + -1.68. Let x = 18 - v. What is the closest to x in -2\/13, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.53 - -0.43. Let g = -1.032 + 0.032. Let t = 182 - 2728\/15. Which is the nearest to i? (a) t (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 312943849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.27*-0.1085\nAnswer: 0.354795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*t + 1367*t = 676*t + 6164 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1943 + 1943 - 2*b**4 - 41*b**3 + (-b**2 + 2*b**2 + 2*b**2)*(-2*b**2 + b**2 - b**2)*(-1 + 0 + 0).\nAnswer: 4*b**4 - 41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**4 + 3*t**2 + 0 + 0*t**3 + 0*t + 1\/60*t**5. Let n(p) = -6*p + 2*p + 0*p. Calculate q(n(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from rhxllhulzxlhllll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02979 + 5.02979. Which is the closest to 0.1? (a) y (b) -0.5 (c) 1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 37, 0, -55, -134, -243, -388, -575?\n\"Answer: -k**3 - 18*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + 98. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1753*q + 31524. Determine f(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10820.8337 to 0 dps.\nAnswer: 10821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 9:39 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 3*z + 2, -3*u - 3*z = -18. Find the first derivative of -f**u - 3 + 2 - 1 + 4 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 9*z + 4. Let u be ((-8)\/6)\/(2\/(-9)). Calculate the remainder when (-1034)\/(-8) - 204\/816 is divided by t(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154262*f**2 + 154262*f**2 - 9529*f**3)*(0*f + 4*f - f).\nAnswer: -28587*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:55 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 - g**3\/3 - g**2\/2 - 6*g. Let u be y(-1). What is the third derivative of -5*m**u + 0 + 3*m**4 + 0 + 4*m**2 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2 - 39*t + 7. Let c be i(-5). Let x be c\/4 - (-7)\/28. What is the greatest common divisor of x and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 161340?\nAnswer: 161337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*h**5 + 88*h**2 + 1 wrt h.\nAnswer: 2640*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9449 + 101183 = 23*c - 119943. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17687 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 816\/(-2040) + (-4)\/(-10). Let c = 4.7 + -5. Sort c, o, -0.208, 1 in decreasing order.\nAnswer: 1, o, -0.208, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*2)\/sqrt(5))\/(sqrt(2) - (sqrt(98)*-3 + sqrt(2))).\nAnswer: 2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3*r*u - 6*f**3*u*z + 2*f**3 + 4*f*r*z - 73*f*r - 5*f*u*z - r*u wrt z.\nAnswer: -6*f**3*u + 4*f*r - 5*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 times 16.36?\nAnswer: 0.22904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 - 99\/21. Let k be (2 + z)\/3 + 6. Let l be 0\/(-1*(-1 + 2)). Solve -k*s + 13 + 2 = l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 448612544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 8, s: 4, v: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(320) + 2)*3 - (-2 + sqrt(320)*3 + sqrt(320) - sqrt(320)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/12*(-8)\/(-25)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 75*j**2 + 68*j**2 - 1 - 138*j**2 + 13*j to the form h*j + q + l*j**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 40 = 45. Suppose -24*z = -23*z - y. Put 2, z, -3, 0.1 in descending order.\nAnswer: 2, z, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/12 - 16*b. Let c(a) = 8*a**2. Calculate y(c(u)).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**8)**(-48)\/((b\/b**(-2\/13))\/(b**7*b)) assuming b is positive.\nAnswer: b**(4457\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:27 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*g**3 + 491*g**3 - 245*g**3 - 3*g + 3*g**2 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 23. Solve a*l = 3*i - 2*i, 2*l - 5*i = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3145 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 0.076 (c) 0.3 (d) 6.1 (e) -3 (f) -0.3 (g) 1\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3406320 and 3648.\nAnswer: 13625280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -61*(1 - (-3 + 3)). Suppose 0 = 9*x - 3*x - 384. Let p = h + x. Solve -p*a - 6 = -6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 376504 and 941260?\nAnswer: 1882520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2126 + 35654?\nAnswer: 37781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 + -2.7. Let u = -0.02 - 2.98. Which is the closest to 0.1? (a) p (b) u (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/5 - 32*u**2\/5 - 31*u\/5 = 0. Calculate u.\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 11*b - 15. Let m be h(10). Sort -2, 4, m, -2\/15 in increasing order.\nAnswer: m, -2, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 15, 4*t - k - 72 = 3*k. Suppose 4*r - 3*v = 347 + 106, -r + v + 112 = 0. Calculate the remainder when r is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120022 (base 3) to base 14\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + -1 + -2 + sqrt(288)*1.\nAnswer: 1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -250, -351, -452, -553?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*w - 76*w = 68*w - 60 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 + -0.32. Let o = -0.017 + 0.117. Which is the second smallest value? (a) x (b) o (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 4*h. Let d = 0 + h. Let u = 38 - 38. Solve 0 = 5*b - 10, -a + u*b + d = 2*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10752483201009 + -0.17.\nAnswer: -10752483201009.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*z + 18 = 0, 5*v - 338*z + 341*z - 16 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50906526?\nAnswer: 2, 3, 11, 31, 139, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3257735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2108771979 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/11)\/(h**(-1)*h))\/(h**(1\/2)\/h)**(-30\/11))\/((h**1\/h)**11*((h\/(((h*h\/(h*h**3))\/h)\/h*h))\/h)\/h**(6\/11)) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 2*t**2 - 7. Let r(b) = -b**3 + 2*b**2 + 6. Let s be (-20)\/(-9) + ((-728)\/(-11466))\/((-4)\/14). What is s*y(z) + 3*r(z)?\nAnswer: z**3 + 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i - 3*i + 14 - 13*i - 14 + (-1 - 3 + 5)*(2*i + 0*i + 0*i) - 2*i + i + 2*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2434045?\nAnswer: 2434041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 - 18*q**2 + 4*q - 4. Let y be b(-6). Let j(z) = z**3 - 7*z + 7. Let m(t) = t - 1. Give y*m(k) - 4*j(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 11283 - (-3 - ((-5 - -9) + -12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152448365.\nAnswer: 5, 67, 6425219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 72. Let i = c - 28.9. Let n = -29 - -30. What is the nearest to 2 in -5, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74240954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 7*n - 3*n - 12, -5*g + 5*n = 15. Let m = 55943\/12 - 4658. Let o = 25\/6 - m. Is o less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11*(-1 + 4 + -2). Let q(t) = 4*t**2 + 6. Let x(n) = 2*n**2 + 3. Let w(a) = u*x(a) - 6*q(a). What is the derivative of w(g) wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1167*z - 3*z**3 + 1167*z + 0*z**3 + 5*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**4*a)**(1\/13)*(a\/(a**(-6\/13)*a*a*a))\/(a*a**(-5\/7)))**(-3) assuming a is positive.\nAnswer: a**(540\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 31 (c) 0.2 (d) 25.1 (e) -0.06 (f) 1\/50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = -30. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.0000057 + -36. Round d to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335.6022415 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)*p\/(p\/p**16) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4277 - 4242. Calculate the greatest common divisor of 392 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 123*b\/4 + 959\/2.\nAnswer: -(b - 137)*(b + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8310840 (base 9) in base 13?\nAnswer: -bc4108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 959359988 a multiple of 9396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 87 = -12*g. Let h(n) = 2 - 4 + 4*n - 2*n - n. What is the remainder when g is divided by h(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308667?\nAnswer: 3, 31, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24143, 24144, 24145?\n\"Answer: i + 24142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16.5499 and -3?\nAnswer: 13.5499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 117*m - 34. What is the remainder when h(2) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11281 is divided by 415.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77433212 to the power of 1\/2, to the nearest integer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**8\/560 + k**7\/350 + k**6\/200 - k**5\/100 - 6*k**2. Let l(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3371 - 1894. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*z - 118536, 3*s - 138009 = 3*z - 49095. Let j = s + -12397. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 7570.8?\nAnswer: -7572.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 202921.308us?\nAnswer: 0.00000234862625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -11 - (0 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178514411 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, -8350 in ascending order.\nAnswer: -8350, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let j(s) be the first derivative of 143*s**3 - 2861. Determine b(j(a)).\nAnswer: -184041*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**9\/84 + c**7\/42 - c**5\/60 - c**4\/8 - 29*c**2 - 1. Find the third derivative of w(d) wrt d.\nAnswer: 720*d**3 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 0 - -2 - -132. Let i = 220 - d. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 2 - (-5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -9*h + 411. Let g(r) = 70*r - h*r + 45*r. Let j(a) = 13*a. Determine j(g(l)).\nAnswer: 325*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - c + 1. Let w(h) = -311*h**2 - h - 3. Calculate 3*g(a) + w(a).\nAnswer: -320*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34\/5)\/(41\/205). Let a(w) = -125*w + 31*w + 37*w - 15 + r*w - w**2. What is a(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12131132 - 3?\nAnswer: -12131201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 2, r: 1, g: 1, x: 2, i: 1}. Give prob of picking 1 r and 1 c.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 1 + 3 + 4)*(-259*k - 617*k + 45*k) in the form s*k**2 + b*k + a*k**3 + o and give b.\nAnswer: -6648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 10*k**7\/7 + 32*k**3\/3 - 40. What is the third derivative of r(n) wrt n?\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {w: 5, f: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 201*s - 4724. Let w be x(24). Solve -87*k + 13 = -w*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i = -46*i - 43*i + 116 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4242 and 8686.\nAnswer: 182406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/46*((-8)\/3)\/(10\/105)*-1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30365 and 65612692.\nAnswer: 328063460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150766\/11247505 + -514508892907\/36355062966390. Let j = 11\/6426 + o. Let f = -19331\/11066 + j. Calculate the common denominator of 59\/8 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 3*u + 5. Give f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 - 5. Suppose 2*v = f, f = 5*f + 5*v - 26. Suppose 5*y = f*y + 6*y. Calculate h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1388\/193855 or 0?\nAnswer: 1388\/193855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**6\/2 - 103*i**5\/5 + i**2 - 1674*i + 216. Find the second derivative of x(k) wrt k.\nAnswer: 60*k**3 - 1236*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1250850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2841160*z**6 - 3856117*z**2 wrt z.\nAnswer: -340939200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 24792, 5.\nAnswer: -4, 5, 8, 24792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95761 is divided by 1277.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/(50\/(-600)). Suppose -9*v - 2*g + 136 = -6*v, 0 = m*g - 15. What is the greatest common divisor of 154 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 8*f - 7. Let t be (-16)\/(-2)*(0 + -4 + 3). What is u(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33323311 (base 4) to base 5.\nAnswer: 4042034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2492.7 times -0.1\nAnswer: -249.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/31 + 33\/62. Let x = -610 - -616. Let q = 4.7 - -0.3. Which is the closest to 0? (a) q (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/30)\/(-2 + 25\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9694859.\nAnswer: 89, 97, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + 94.14\nAnswer: 94.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49394720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/12*(-18)\/(-2). Let u be (-1)\/(-3) - 716\/f. Let t = u + 31. What is the third smallest value in -2, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.5 (b) -0.01 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 2 = 2*j. Let t = -382 + 384. Suppose l + j = t*l. Solve 6*b = b + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37\/84 + 4\/21. Let l = 12.69 + 0.31. Let u = -13 + l. Which is the closest to u? (a) t (b) 0.5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -686 + 696. Calculate the least common multiple of 27 and (0 + 2 + 13)*84\/n.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m + 3. Let n be y(-7). Let a be ((-189)\/42)\/(n\/(-4)). What is the greatest common factor of 14 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k - 16*k + 12*k - 5*k to the form m + c*k and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 23*n**2 + 27645*n**3 - n - 2*n**4 - 27641*n**3 in the form l*n**4 + h*n**2 + y + g*n**3 + w*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m**2 - 31*m**2 + 82*m**2 - 29*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4232, 3398, 2012, 74, -2416, -5458?\n\"Answer: -276*r**2 - 6*r + 4514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g + 1\/9*g**3 + 1\/540*g**6 + 77*g**2 + 7\/108*g**4 + 0 + 1\/54*g**5. Find f such that k(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)\/sqrt(4) - ((sqrt(7) - (-5 + sqrt(28))) + sqrt(7)).\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - 3*j**2 + 4*j**2 + (-j - 4 + 4)*(-7 + 7 - 6*j))*(108 + 4*j - 108) as u*j**2 + f*j + p + c*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioo when three letters picked without replacement from {i: 3, o: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose 5*q + 3*j = 1, -3*q + 2*j - 3*j - 1 = 0. Let p be 57\/15 - q\/5. Put p, 1, x in increasing order.\nAnswer: 1, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.4 (b) -0.3 (c) 2\/25 (d) -38 (e) 12 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - 5 - 0\/((-16)\/(-4)). What is the second derivative of 14*g - 72*g**3 - 70*g**3 + 4 - 2*g**w + 133*g**3 wrt g?\nAnswer: -54*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-11)*(-22)\/55.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 13*m - 40 = -5*v, 13*m + 2*v = -252 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55254469 - 2*k**2 + 55254469.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w. Let m(l) = -54*l + 3. Let x(f) = 54*f - 4. Let y(r) = r**2 + 20*r + 38. Let n be y(-18). Let h(i) = n*x(i) + 3*m(i). Determine b(h(v)).\nAnswer: -216*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 19. Let u(g) = -g + 13. Let a be u(k). Suppose 4*t + a*q - 8 = 5*q, -2*t = 2*q - 10. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 490 and 147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1, -43311, 2 in ascending order.\nAnswer: -43311, -51, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.5 and -0.1047.\nAnswer: 1.62285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:31 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:40 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -40. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:19 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 11*b - 1. Let t be z(-10). Suppose -3*l = -0*l - t. Let n = 3 - 1. Solve -15 = l*k + n*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207766 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 925 + 1392.5503.\nAnswer: 2317.5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276884501 to the power of 1\/2, to the nearest integer?\nAnswer: 35734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = 10. Let g be (8\/f)\/(-1*6). Sort 5, -3, g in descending order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855091 is divided by 176?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/60 + 5*u**4\/4 + 75*u**3\/2 + 272*u**2. Factor z(o).\nAnswer: (o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52346976 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2*-1)\/sqrt(8))\/(-1*sqrt(12)*3 + (sqrt(12) - -1*sqrt(972))).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5102 - 0.4.\nAnswer: -5102.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6405 is divided by 378.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + k**3)*(-2187 + 110*k - 440*k + 110*k + 110*k + 106*k).\nAnswer: -4*k**4 - 2187*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, m: 3, r: 1, k: 3}. What is prob of sequence am?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 152*k + 4. Let v(u) be the third derivative of u**5\/10 - 4*u**2 - 80*u - 2. What is v(o(i))?\nAnswer: 138624*i**2 + 7296*i + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 47*z**2 + 149*z + 332. Calculate v(-50).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 89, 259, 571, 1073, 1813, 2839?\nAnswer: 4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-1001))\/(-1)*1794\/138\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccxccccccccx. Give prob of sequence cc.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 155657 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 25 = -5*x + 5*v, -3*v - 7 = -x. Suppose 28 = x*q - 8*q. Let f(g) = -g - 10. Give f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2196533500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.42716 rounded to 2 decimal places?\nAnswer: 6.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2556 or -4397?\nAnswer: -2556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j. Let y(d) = -d. Let u(k) = -9*k - 32. Let l be u(-4). Determine l*y(g) - 4*n(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 3805.\nAnswer: -26635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-176))\/((28\/(-16))\/(-7))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-154) + (-84)\/(-22). Let o(p) = -p**3 + 3*p**2 + 0*p + 5*p + p - 2*p + 1. Calculate o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 4, b: 1, m: 11}. Give prob of sequence mbm.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, 2002, -1\/2?\nAnswer: 2002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:36 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:36 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = k, 0 = -4*o - 0*k - 2*k + 14. What is the units digit of ((-7)\/(-42)*-3)\/(o\/(-116))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3073 = -2*o, -2*u = 3*o - 8*o + 6145. Let f = 5174 + u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*i. Let x(c) = -1 + 0 + 4*c - 3*c. Let g(j) = -j + 4. Calculate i*x(z) + g(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*j**3 - 227*j**3 + 234*j**3 + (-5*j**2 + 0*j**2 + 2*j**2)*(-j - 21*j - 3*j) to d*j + o*j**3 + r + m*j**2 and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043489\/254 smaller than 19856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y. Let f = -10 + 23. Suppose -5*a + 12 + f = 0. Let z(c) = 151 - 151 - a*c. Give o(z(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ossoeedhees. What is prob of picking 2 s, 1 d, and 1 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11593763 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(4\/(-24)). Suppose 4*a = b*o - 2*o + 1816, 1816 = 4*a + o. What are the prime factors of a?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u - 84. Let s be o(-5). Is s <= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = -r + q, -2*q + 24 = r. Let g = 0 + 4. Calculate the lowest common multiple of g and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**8*(d\/d**(-2))**(-40))**(-12\/13) assuming d is positive.\nAnswer: d**(1344\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + (-52)\/(-12))\/(1\/1851)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 122*d + 2. Let b(h) = -123*h**2. What is x(b(n))?\nAnswer: -15006*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20163, 40328, 60493, 80658, 100823?\n\"Answer: 20165*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**2 - 1. Let q be l(1). Let t = -7 - q. Suppose -1659793 = -t*f - 9659793. Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 5*d - 5*d**2 + 6 + d**3 + d. Let s be x(6). Find m such that 0*m**2 - m**2 + 2*m + s*m**2 - 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:23 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 17268288*j + 18637110653184.\nAnswer: 4*(j + 2158536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + ((-539)\/(-98))\/((-17)\/(-34)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 10)*(-2)\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1900*o**4 + 21658*o**3 + 21654*o**3 + 1721*o**2 - 43312*o**3 wrt o?\nAnswer: -45600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 4:14 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -68, -72, -76, -80?\n\"Answer: -4*c - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 64, -4, -15, 3, -5.\nAnswer: -15, -5, -4, -1, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*m + 0*m - 11*t = 90, -2*m + 2*t + 54 = 10 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*a**2*h + 2991*a**2 - 466244*h - 120 wrt a?\nAnswer: 482*a*h + 5982*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 8*c**2 + 3. Let n be g(8). Suppose -3*p = -m + 313, 1106 = 4*m - n*p - 173. List the prime factors of m.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8384*k**2 - k - 4*k + 8359*k**2 as d*k**2 + a + m*k and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65412 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.3932 rounded to 0 dps?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3002875628?\nAnswer: 2, 523, 1435409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - q**2 + 1. Let o be 2\/(-3)*36\/24. Let g be a(o). Solve 2*w = 5*r - 13, -2*w + 2*r - g = 7*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -851 by 5992.\nAnswer: -851\/5992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5498\/7 + -784. Which is the second smallest value? (a) 0 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 1341864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -10 (b) 11 (c) -0.5 (d) -2 (e) -0.4 (f) -12 (g) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:17 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h + 10. Let a(o) = -16*o - 9. Let y(c) = -6*a(c) - 5*b(c). Let s(p) = -22*p - 9. Let w(x) = 3*s(x) + 7*y(x). Calculate w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 906852021, 1813704043, 2720556065, 3627408087?\n\"Answer: 906852022*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8683, -5306, -1931, 1442, 4813, 8182?\nAnswer: 11549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -13850.\nAnswer: -1\/13850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -184*w**2 + w + 3. Let l be g(-1). Sort 14, -5, l, 4.\nAnswer: l, -5, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 29*p - 16*p - 14*p. Let u(h) = 6*h**2. Calculate y(u(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + sqrt(2) + (sqrt(2) - (0 + (sqrt(2) + (0 + sqrt(2) - sqrt(2)))**2)) + 0)*4.\nAnswer: -8 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, o: 4}. Give prob of sequence zooz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 16) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 47, 89, 137, 185, 227?\n\"Answer: -u**3 + 12*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 486\/36)*(14 - (-1730)\/(-125)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38653 is divided by 644?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51521, 102056, 152595, 203138, 253685, 304236?\nAnswer: 354791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4 + 2964*m**3 - 185657*m**2 + 164922*m + 1096200 = 0.\nAnswer: -2, 3, 63, 2900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = -j, 4*m - m - 19 = -5*j. What is the least common multiple of j and ((-40)\/(-1))\/2*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 221*r**2 + 23*r - 57. What is the remainder when m(3) is divided by 496?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781383 is divided by 1017?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 933 (c) 104.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326007 - 710007. What is z rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -73) + 2210\/(-33)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**3\/3 + 11*i**2\/2 + i - 2. Let a = 21 - 12. Is x(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.4, 2\/3, -3, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24*(-9)\/(-90))\/(3\/40). Solve 0 = -i*d + 25*d - 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 4. Let f be 0 + 10\/((-4)\/(-2)). Let c be u(f). Let s(h) = 17*h**2 - 16*h**2 - 11*h**2 + 1 + 11*h**2. Give s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 588368.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21903 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419111177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 2*t - 14 + 7*t + 20 = 0 for t.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/13)\/p*p)\/p**(-1\/18)*(p\/(p*p\/p**(-14)*p))**(-36) assuming p is positive.\nAnswer: p**(134779\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**2\/11 + 216738*h\/11 - 14113320\/11 = 0.\nAnswer: -36188, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 at most 649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:05 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 2. Let s be g(-7). Solve 3*z - 22 = s*b, -4*b = 4*z - z + 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(2244\/(-99))*-14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d074 - -9?\nAnswer: 1d07d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 133*i**2 + 1434*i + 13. Calculate u(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -39. Suppose k + a = 61, 12 = -a + r*a. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(468)*-3)**2 + (sqrt(468) - -4*(2 + sqrt(468))).\nAnswer: 138*sqrt(13) + 4229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 107*y**2\/2 + 64*y - 168. What is the first derivative of t(r) wrt r?\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w - 118*w + 1 = 137*w + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 32. Calculate the highest common divisor of 294 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7401?\nAnswer: 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/50762508 and -29\/24.\nAnswer: 101525016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/3 - 46\/15. Suppose i + 2*x + 6 = 0, -4*i - 2*x + 6*x + 36 = 0. Suppose i*u - 7 = -11. What is the closest to 0 in b, u, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-4)\/(-128)*30. Is 0.1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13\/(n**(3\/4)\/n))**(6\/13)\/((n*n**1*n)**34*(n\/((n*n**5)\/n*n*n*n))\/(n\/(n\/(n*n*n**(-2)*n*n*n*n)))) assuming n is positive.\nAnswer: n**(-2207\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 13. Let l(y) = 3*y - 19. Let j(x) = -5*l(x) - 8*o(x). Give j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + 4*f - 8. Let h(o) = o**3 - 6*o**2 - o + 13. Let g(w) = 2*w**2 - w. Let m be g(2). Let r be h(m). What is the units digit of y(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 11*a**4\/6 + 237*a. Let p(b) = -20*b**2. Give p(j(y)).\nAnswer: -9680*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -651 divided by -21\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3059 divided by 7\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(102)\/sqrt(6)*-2 - sqrt(17)*2*4))**2.\nAnswer: -60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1066*(-140192)\/26960?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 2. Let u(k) = -k**2 - k - 1. Let l(s) = 6*s**2 + 7. Let h(d) = l(d) + 5*u(d). Let n be h(i). Which is the nearest to -2? (a) n (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g - 3*q = 35*g - 73*g + 5, -4*g - 6*q = 11 - 57 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 19*m - 3*b - 326 = 0, -3*m = -4*b - 488. Calculate the highest common divisor of m and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 - 32\/(-30). Let w be (1 + -3 + 1)*-3. Suppose -l = -w*l. Is l greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8961, -8955, -8945, -8931, -8913, -8891, -8865?\nAnswer: -8835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g - 2*g. What is the remainder when 14 is divided by 31\/g - (-2)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -22*q - 902. Let y be h(-41). Put y, 6, 73 in ascending order.\nAnswer: y, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 25 = 4*y + 3*p, 9 = -3*y + p. Let s be (5 - 4)*(-1562)\/(-4). Let m = s + -390. Which is the closest to m? (a) -2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*-2*(-6)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15676*a**6*u**2 - 152*a**2*u**2 + 29*u**2 wrt a.\nAnswer: -1881120*a**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 22, 42, 66, 94, 126, 162?\n\"Answer: 2*x**2 + 10*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/4 - 1751241*z\/4 = 0.\nAnswer: -1751241, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u - 2. Let h be r(-1). Suppose -2*d + f + 22 = 2*d, -28 = -4*d + h*f. Let y(a) = d*a + 2*a - 10*a + 4*a. Let b(v) = -5*v. What is b(y(l))?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1055.775km to nanometers.\nAnswer: 1055775000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 6, 23, 2\/15, -3, -52?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 111*p**3 + 462*p**2 - 576*p.\nAnswer: 3*p*(p - 1)*(p + 6)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**3\/5 + 124*k**2\/5 - 163*k\/5 + 6.\nAnswer: (k - 1)*(k + 15)*(9*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by 13?\nAnswer: 354\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-29))*s\/s**(3\/5)*s)\/((s**(-31)*s)\/s*s*((s**13*s)\/s)\/s))**8 assuming s is positive.\nAnswer: s**(-384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23648*g**3 + 42 - 121 + 37 + 42.\nAnswer: -23648*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -20*h + 161. What is k(10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 7*f**2 + 6*f - 31 + 3*f**2 + f**3 - 7*f. Let s be c(6). Which is bigger: s or -30\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 73*u + 168. What is t(2)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-12 - -3)\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 5.6, 0 in ascending order.\nAnswer: -0.5, 0, 4, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 214799 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -562118965*h*u - 922782*h - 32 wrt u?\nAnswer: -562118965*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 54 + 39)*(-5 - 2*w + 5).\nAnswer: 168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348199, -348200, -348201, -348202?\nAnswer: -348203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -39. Let c(g) be the third derivative of -g**2 - 2\/525*g**7 + 0*g**4 + 0*g**y + 0*g**5 + 1\/840*g**8 + 0 + 0*g + 1\/300*g**6. Factor c(f).\nAnswer: 2*f**3*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6 - 2 - b + 3*b. Let l(x) = -5*x + 3 + 3*x + 4*x - 3*x. Let i(z) = -3*z**2 - z + 2. Let u be i(-2). Determine u*l(q) - 3*c(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdemdtffdfffffddm. Give prob of sequence dm.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2796 is divided by 575?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5603 - 1381. Let f = -69783\/10 - o. What is the common denominator of f and (20\/48)\/(2\/18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4353240 (base 7) to base 13\nAnswer: -1591a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 630? (a) -109 (b) 0.2 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 7*m - 4*u = 22, 2*u = 2*m - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -47*q**8\/112 - 17*q**5\/60 + q**3\/3 - 65*q**2. What is the third derivative of r(d) wrt d?\nAnswer: -8460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 - 7*n + 3. Let v(l) = 13*l**2 - 2 + 3 - 9*l**2 - 5*l + 1. Give -5*k(z) + 7*v(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.35322 grams to tonnes.\nAnswer: 0.00005435322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379292928.\nAnswer: 2, 13, 414451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*t - 6*t. Which is the smallest value? (a) t (b) 0.02 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -4*g - 21*n + 103, -g - n = -26. Suppose 8*j = 11*j - 198. Let z be j\/12 + (-2)\/4. Solve 3*u + b + 5 = 2*u, 0 = z*b + g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -19518.\nAnswer: 1\/6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5425 (base 6) to base 14.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 158 in increasing order.\nAnswer: -4, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-6)\/(-10))\/3). Suppose m*x = 44 + 1. Solve -t = 2*t - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*r = -7, 2*a + r + 1 = 12. Suppose a*c = 345 + 87. Suppose -10*l + l = c. Is l at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25952*h**2 - h + 24604 wrt h?\nAnswer: 51904*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 17*x**2 + 11*x + 4. Let l be z(18). Let k = -71 - l. What is the remainder when k is divided by 13*(0\/2 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 6*m - 14. Suppose o + 55 = -10*o. Let i(a) = 7*a**2 - 6*a - 15. Let s(d) = o*i(d) + 6*z(d). Determine s(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5\/6))**21 assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 4, h: 3, g: 1, b: 2}. Give prob of picking 2 b and 1 h.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**2*p + 1268*o**2 - 2*o*p - 815*p + 2 wrt o?\nAnswer: -16*p + 2536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -8 - 13. Let o(a) = a**3 + 7*a**2 - 2*a - 10. Calculate o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from {x: 4, o: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 6*u**2 + 13*u + 15. Let m be i(-3). Solve 40 = -m*d - 7*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4) + 4 + -2. Let k = -3 + 11. Let l be ((-13)\/26)\/((-9)\/k). Which is the closest to d? (a) -2 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174911*l**3 + 2*l + 5643491 with respect to l.\nAnswer: -524733*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Let q = 0.25 - 0.35. Let m = 1.9 - q. What is the nearest to -2\/7 in u, 5, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 148*v - 58. What is y(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97550030 rounded to the nearest 10000?\nAnswer: 97550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -189 (b) -31 (c) -3 (d) 0.21 (e) 2\/9 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2591b9 + -3?\nAnswer: 2591b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 5*r + 7*r + 8*r in the form y + o*r and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 5*q + 2. Let w(c) = 4*c + c**3 - 3*c**2 - 3 - 2*c**2 + 0*c**3 + 4*c**2. What is the remainder when w(3) is divided by a(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -120*s - 117*s + 363*s - 127*s. Let v(n) = 3*n. Let k be ((-15)\/(-12))\/((-1)\/(-4)). Let u = -1 + 3. What is k*c(o) + u*v(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1466*f - 10. Let n(p) = 7333*p + 46. Let c(u) = -3*n(u) - 14*r(u). Let v(o) = o. Calculate v(c(b)).\nAnswer: -1475*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12293 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Let y = v - -0.00012. What is y rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -345*f - 67*f - 784*f to a*f + v and give a.\nAnswer: -1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 293.7? (a) 0.08 (b) 5 (c) 6 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8230699?\nAnswer: 109, 75511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*c + 405*c - 24 = 0. Let m be (-3)\/((-1)\/1) + 8\/c. Solve 4*w - 16 = 3*o, 3*o - 5*o = 4*w + m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 2*j. Let h be s(2). Suppose 23 = -h*c + 263. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from ozraa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658069 a multiple of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/78 and 31\/299.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2074 + 2080 - (6 + -3 + -82).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5289 and 348816?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-10)\/(-245) - (-500)\/14. Suppose -a = 3*t - 10, t - 6*t = 2*a - 18. What is the tens digit of x\/10*30\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4012 divided by 206\nAnswer: -2006\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.566 + 0.126. Let q = 0.439999963 + f. Round q to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1706418189 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 607*u + 29810. What is n(-43)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 8595.\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 3. Let p be t(-4). Suppose -3*x = -4*b + 7 - 0, x - 3 = 0. Let k(u) = 281*u + 3*u**2 - 289*u - b*u**2. Calculate k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130159695520 less than -0.02?\nAnswer: -130159695520.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -301 - 708. Round z to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, -0.1, 6, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)\/(1\/(-5)). Let n = -4 + d. Let q = -55 - -221\/4. Is n at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70118 is divided by 13684.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.07 + -29. Let k = 0.27 - f. What is the second biggest value in 3\/4, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 0.0488.\nAnswer: 0.5488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 38, 42, 30, -4, -66?\n\"Answer: -j**3 + j**2 + 18*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19175*i**2 + 19140*i - 35 = 0. Calculate i.\nAnswer: -1, 7\/3835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486848 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -37. Let r = w + -24. Let x(i) = i**3 + 10*i**2 + 8*i + 12. What is the tens digit of x(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804*z + 640 - 2620 = -30844 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -284. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w + 3. Let r be (0 - -5) + -7 + 2. Calculate y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.442497 months to decades.\nAnswer: 0.203687475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 15 = 0, 5*c + 1924 = -o. What is o rounded to the nearest ten?\nAnswer: -1940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -994*a**2 + 1038742*a - 12540.\nAnswer: -2*(a - 1045)*(497*a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116929 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30709 + -1105601\/36. Find the common denominator of n and 268\/50*(14 - (-4433)\/(-312)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06901 and -2.\nAnswer: -1.93099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*g - 83776 + 83774 + 9*g)*(-2*g + 2*g - 2*g).\nAnswer: -316*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 = -1, -2*u + 64 = 3*x. Which is the second smallest value? (a) 0.4 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-28) - (-1)\/(-4). What is the third derivative of p*d**2 - 2*d**2 - 12*d**2 - 4*d**3 wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -245783.\nAnswer: -5\/245783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-1) + ((-24)\/4)\/(-3). Let w(l) = -l + 25. Calculate w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-40) + (-62)\/8. Let z = -5 - j. Suppose -2*c + 3 = -1, 0 = -z*k - 4*c + 29. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 5*p - g - 155, 2*p + 3*g = 149. Solve -73 = -2*r - p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + (8 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - (5 + -13 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 10*u**2 + 11\/24*u**4 + 0*u - 2*u**3 + 0. What is the first derivative of z(o) wrt o?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52046.17 millennia to decades.\nAnswer: 5204617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15157059?\nAnswer: 3, 5052353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3175)\/(-9) + ((-56)\/(-18))\/14. Let q = 356 - a. Solve 6 = p - 2*t - 2, t = p - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -146. Which is smaller: q or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5023207, 10046413, 15069619, 20092825, 25116031?\n\"Answer: 5023206*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11 + f**3 + 14*f - 5*f - 6 + 13*f**2. Let q = -259 - -247. List the prime factors of s(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3918 - 9*j + 2*j - 3918.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5480 divided by -70?\nAnswer: -548\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f. Let j(a) = -a**3 + 8*a**2 + 5. Let o be j(8). Let v(c) = -c + 2. Let x be v(o). What is the lowest common multiple of l(x) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846.5822 nanograms in micrograms?\nAnswer: 0.8465822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 7325*q**3 - 22290*q**2 - 396360*q.\nAnswer: 5*q*(q - 9)*(q + 6)*(q + 1468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 0*u**4 + u**4)*(1 - 3 + 4 - 5 + 5 + 2 + (5 - 3 - 1)*(3 + 2 - 3)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 213 and -10.314755.\nAnswer: 202.685245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979*u - 2073 = 978*u + 3963. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15493247 to the power of 1\/2, to the nearest integer?\nAnswer: 3936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(540)\/sqrt(5) - sqrt(144)\/(sqrt(24)\/sqrt(2))))*6.\nAnswer: -6 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 13*b + 9. Let x be o(6). Suppose q + x*q = -156. Let u = -25 - q. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6 and -113\/528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 33*k + 1210. Determine m(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 9. Let n(o) = 6*o**2 - 3*o - 25. Let h(z) = -10*z**2 + 4*z + 37. Let u(l) = -2*h(l) - 3*n(l). Give u(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130 or -1039\/8?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96762 and 30?\nAnswer: 483810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 > -5938\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.72659 decades to years.\nAnswer: 457.2659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 79 + 0*s**3 + s**3 + 162 - 29*s to the form r*s**2 + l*s**3 + a + o*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 937 divide 213867990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21149 + 163?\nAnswer: -20986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4896\/20808 - (-3000)\/(-34).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -43*d**2 - 71*d - 66. Calculate j(-6).\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*p + 10, 6*p - 3*p = 4*h - 25. Suppose -5*s + h*j - j = -42, 4*j - 14 = -5*s. Solve -4*x**2 - 16*x - 10 - 8 + s = 0 for x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -640575 or -640574?\nAnswer: -640575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 10:53 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13 + 23 + 7419\/(-726) and -83\/176.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**4*k + c**3 - 16564*c**2*k - 4*c*k - 158*c + 4*k + 3 wrt c?\nAnswer: -24*c**2*k + 6*c - 33128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (0 + -3)) + 7 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 394 + 58 = 0. Let p be (-2)\/9 - t\/144. Which is the third biggest value? (a) p (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*d - 1397*d**3 + 1396*d**3 + 23*d + 29*d - 26*d**4 + 2*d**2 to the form v*d**3 + x*d + q + w*d**4 + c*d**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 235.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14452, -16323, -18192, -20059, -21924, -23787?\n\"Answer: z**2 - 1874*z - 12579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123384 is divided by 15415.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*z + 705*z - 165 = 0. Solve n = 5*c - z, -3*n - 22 - 1 = -4*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 - 8*z - 9. Let c be h(-8). Let i = -15 - c. Is 5 + 2*(-3)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6)*d*d**3)\/(d\/(d\/(d*d*d\/(d\/(d\/(d*d**(-1\/5)*d))))*d)*d**(2\/13)) assuming d is positive.\nAnswer: d**(692\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - i - i + 90 = 0, 3*x - 99 = -5*i. Let m = x + -28. Suppose -t + 6 - 1 = m. Solve t*z = 4*n + 1, -5*z - n - 13 = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242431 - -212404?\nAnswer: -30022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 2*c**2 + 0*c)*(-4 - 1751*c + 3173*c + 3334*c + 4) to z + v*c**3 + b*c + a*c**2 and give v.\nAnswer: 9512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -43. Let j be (-896)\/(-30) - z\/(-75). Is j - 9 - (-6 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536 + (4 - (-4 + -6)).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 45 = -4*d. Let o = d - -25. Let f = -6 + o. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5409 minus -1.274?\nAnswer: -5407.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u**(-1)\/u assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*r**2*x + c*r**2 - 12*c - r**2*x + 15*r**2 + 6*r*x + 6*r + 15*x wrt x.\nAnswer: -c*r**2 - r**2 + 6*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2308621 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f (base 16) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(200)\/sqrt(4) + sqrt(50) - sqrt(50)) - sqrt(50))**2 - sqrt(24)\/sqrt(300).\nAnswer: -sqrt(2)\/5 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 115*t**4 + 24*t**4 + t + 21*t**4 in the form x + q*t**4 + i*t + j*t**2 + s*t**3 and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49341 is divided by 355.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3 + s)*(17*s - 16*s - 38*s) + 0*s**2 + 3*s**2 - 2*s**2 as m + g*s + x*s**2 and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.4, 0.8, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.129 (b) 5 (c) -4\/3 (d) 1\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 100.6.\nAnswer: 603.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133225131 (base 7) in base 10?\nAnswer: 8628579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((0 + -2)*-1). Let j(n) be the first derivative of 10*n**2 - 3*n - 1. Is j(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -2*z**3\/3 - z**2 - 12. Factor u(r).\nAnswer: -2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahhhaqhaqqhhqqbqqbv. Give prob of sequence vaq.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w - 7. Let p(t) = 4*t + 3. Let f(n) = 3*j(n) + 7*p(n). Let q(r) = r**2 + 6*r**2 + 3*r**2 + 5*r**2. Determine q(f(u)).\nAnswer: 375*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o + 0 + 0*o**3 - 55\/14*o**7 + 38*o**2 - 1\/3*o**5 + 0*o**4 + 375\/112*o**8 - 7\/3*o**6. Factor x(y).\nAnswer: 5*y**2*(y - 1)*(15*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*s + 448*s - 41724 = 4492 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/(-4))\/(-6)*(-4)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 50. Let o = 19.2 - 3.2. Let s = o + -10. Which is the closest to f? (a) 0.4 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h, 28*g + 3*h = 26*g + 30098. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*p - 286*p = 159. Suppose -399 = p*o + 4*o. Let u = 0.2 + -0.1. Are u and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, -1\/4, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1389 + 1394. Sort -1, 1, s, 33.\nAnswer: -1, 1, s, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12*m = 5090. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-50)*-20*(-2)\/(176\/(-6))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 803 - 807.949. Let s = -5.1 - h. Let k = 0.15183 + s. Round k to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.072408 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:50 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**4\/12 + 5*t**3 + 11*t**2 - 13*t. Let r = -8 - -5. Does 6 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131031 - -232323323?\nAnswer: 232132232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*q**2 + 4*q**2 + q**2)*(-3*q - 2*q - 10*q + 136*q**2 + 14*q) to d*q + m + r*q**4 + g*q**3 + v*q**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-4) - (3 - 6))*-2. Suppose z + 5*l = -3*z + 3, -5*l - 7 = -z. What is the fourth smallest value in d, -1\/3, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176107650022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from ccctgaacctut?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a + 2?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1329 + 1340. Solve -4*c = -h + 24, h - 18 = 5*c + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 6*o + 15. Let h be x(-6). Calculate the greatest common divisor of 459 and h.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -545 + -32?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:48 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14211133 - -2402?\nAnswer: 14214040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198357578?\nAnswer: 2, 3, 11, 67, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 - 25*r + 30. Let j be p(-6). Let c be (-30)\/(-8) - 3\/(-12). Solve 2*y + j*s + c*s - 2 = 0, 3*s + 1 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((0 + sqrt(108))*-6 - (sqrt(108) + sqrt(108)*3)*2)*-3)**2.\nAnswer: 1714608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmixmnpinmnmmm. What is prob of sequence iix?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + 1*sqrt(3) - (1 + sqrt(108) + sqrt(108))))**2 + ((sqrt(3) + 2)*-1)**2 + 3 + 1.\nAnswer: 180*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -95. What is the remainder when a is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-102)\/(-9))\/(2\/6). What is the derivative of -30*y**4 + 5 + u + 4 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*g**2 - 34*g**2 - 2297*g**2 - 23896*g**2.\nAnswer: -27608*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161491782979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 82 + 103. Suppose -k*m = 5*p - 104 + 34, 14 = p + 3*m. What is the remainder when 167 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 12*p**5 + 32*p**4 - 44*p**3 - 112*p**2 - 48*p = 0.\nAnswer: -3, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqmqmqmuuuuumuqmu. What is prob of picking 3 u and 1 m?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6589682 to the nearest integer?\nAnswer: 2567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/((-18)\/3)*(-61571)\/5354.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.56 + 1.56. Let u = f + 35.8. Let k = u - -6.2. Is -0.1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399779707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 3*o + 24. Let c(j) = -j**2 - j - 1. Determine -5*c(p) - v(p).\nAnswer: 3*p**2 + 2*p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*y = 0, 0 = 3*c - 11*y + 8*y + 3. Find the common denominator of -27\/20 and c - (-498)\/360*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))\/(w\/(w**(1\/4)\/w)*w)*(w\/(w\/w**(3\/5))*w*w*w)\/w*w*w**6)**(-45) assuming w is positive.\nAnswer: w**(-1233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0 (b) -3 (c) 3\/4 (d) 1\/2 (e) -179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h. Let z = 90 - 38. Let m = 62 - z. Calculate the least common multiple of g(2) and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 66.1. Let o = -5.90054 + n. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3866667*n + 1. Let t(x) = -x - 14. Let u be t(-11). Let f be u\/2 + (-30)\/20. Let v be k(f). Round v to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t*t**(15\/7))\/t)*t)\/((t\/t**(2\/131))\/t)*((t\/t**(-16\/5))\/t)\/(t*t*((t\/((t*t**(-1\/28))\/t))\/t)\/t))**38 assuming t is positive.\nAnswer: t**(1058167\/9170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 - 4.1. Let i = -7 - y. Let s = i - -10.123. What is s rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2212 (base 4) to base 6\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 323, 686, 1185, 1814, 2567?\nAnswer: 3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6862237 (base 11) in base 7?\nAnswer: 204033251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*q + 479, 0*s + 4*q + 2413 = -5*s. Let d = -385 - s. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - -3*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**4\/12 + 2*o**3\/3 - 9*o**2. What is s(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 73?\nAnswer: 16\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnniiipnn. Give prob of sequence pi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 187*d**2 - 581*d - 22. What are the prime factors of t(14)?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.213 - -0.1938. Round t to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745677344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**2 - 11*o + 16. Let b(h) = -6*h**2 - 10*h + 15. Let u(r) = -6*b(r) + 5*n(r). Calculate the remainder when u(-7) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2537032*q**4 - q**2 + 800375?\nAnswer: -60888768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 990 + -4947\/5. What is the second smallest value in 2, c, -0.5, 19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-840)\/90)\/(-28))\/((-25)\/50*6\/531).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4)*2 - (sqrt(4) + sqrt(48)\/(sqrt(24)\/sqrt(2))))\/(((sqrt(10)*-2 - sqrt(10))*-5)\/sqrt(5))*-5.\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 381*t**5\/5 + 13211*t**4\/5 - 6507*t**3 + 9141*t**2\/5 + 74*t\/5 = 0. Calculate t.\nAnswer: -37, -1\/127, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1206960 and 0.5.\nAnswer: 1206960.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p, -2*p + 50 = 5*z + p. Let f(n) = 6*n**2 + 60*n + 3. Let t be f(-10). Solve -i - t*b = -z, 2*b + b = -2*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55645, 55648, 55653, 55660?\nAnswer: 55669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 4*p**2 + p + 5*p**2 - 2*p**2 - 4. Let x be n(2). Suppose 13 + 37 = x*h. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - -6. Suppose -4 = -c + t, -c - r = -3*c + 5*t. Solve c*x + 20 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-885)\/(-118)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*s**3 - 2*s**4 - 167*s**3 + 238*s**3 + 4830*s**2 - 6*s**4 + 0*s + 0*s - 2*s**4 + (5*s**2 - 2*s**2 - 2*s**2)*(-4 + s**2 + 4).\nAnswer: -9*s**4 + 4830*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12835449 and 475387?\nAnswer: 12835449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, 6002\/3 in decreasing order.\nAnswer: 6002\/3, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*k - 16, 4*k - 13 = l - 2. Let n(u) = 61*u. What are the prime factors of n(l)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/55? (a) 0.4 (b) 16.9 (c) -3866 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145804590 divided by -345?\nAnswer: -422622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 2\/2671, 1, 7, -4?\nAnswer: 2\/2671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 10*t - 110. What is the highest common factor of 102 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-53379)\/25116)\/(-3) - (-15)\/(-20). Let d = o - 75781\/845572. What is the common denominator of d and 19\/14?\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/544531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let a = -1.9 + k. What is the nearest to a in -4, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 98?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3585 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367346933 to the nearest integer?\nAnswer: 19166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 8:03 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17277*h - 207394. Give l(12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22597 + 1.77403. Let h be (-3)\/(-6)*2\/7. What is the smallest value in h, 0.1, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 204 + 68 + 63 + 2*u**2 + 73.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215968 is divided by 16210.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -72.62. Let z be ((-3)\/(-4))\/((-3)\/132). Let i be ((-2)\/12)\/(22\/z). Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32103\/369*2\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 92470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707*h - 228965 = -11662*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and (11\/99)\/(1\/1269)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + (-94)\/30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpaaabbpbaabppqppp. Give prob of picking 1 q and 1 a.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-3*1\/(-2)). Suppose 18*d - y = 17*d. Let f(m) = 11*m + 2. What are the prime factors of f(d)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14486111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 2*o**2 + 2*o - 36. Calculate q(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -9. Let l = 141 - 77. Calculate the highest common factor of g and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -7. Let z = w + -8. Suppose z = -5*u - 2*n + 93, -13 = -3*n - 1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*1*66\/(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 1. Let z = 10 - 5. Let o(i) = -22*i + 27*i**2 - 14 + 23 - 19*i**3 - 11*i**2 + 16*i**2. Let x(p) = z*l(p) - o(p). Factor x(k).\nAnswer: 2*(k - 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 m when three letters picked without replacement from lmkkkdkmkkklmdkkkd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 + 44*s**2 + 193*s + 1. Give d(-4).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145505903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16624 and 10040896.\nAnswer: 10040896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -16714 and -1536 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -511 at most -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3054000 + 3054000 + 1410*r)*(0*r**2 - 2*r**2 + 3 - 2).\nAnswer: -2820*r**3 + 1410*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516\/6*50\/(-100).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/286)\/((-154)\/(-182)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98853 and 1920039.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 571028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4151877, 8303754, 12455631?\n\"Answer: 4151877*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3\/s**(1\/20))\/((s**(3\/5)\/s)\/s)**(-2\/59))**(1\/16) assuming s is positive.\nAnswer: s**(685\/3776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 17\/8 (c) -5 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -9 - (2 + -3). Suppose 0 = -w - 3*c - 3, 3 = -w + 5*c - 0. Let o be (-1 + 0)*w + 85. What is the highest common factor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*s**2*y - 246*h*y + h + 255*s**2*y + s*y + 2*y wrt s.\nAnswer: -2*h*s*y + 510*s*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let a be (36\/21)\/(1*(-8)\/(-28)). Let x(z) = -2 + 0 + 1. Let b(w) = a*x(w) - 2*h(w). Find the first derivative of b(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-2\/9))**(3\/8))**(2\/3))**(-4\/5))**(2\/101) assuming j is positive.\nAnswer: j**(4\/4545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159639 - 3*r + 159639.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 65b1 (base 13) to base 9\nAnswer: 21385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 2\/15, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 103, 115, 107, 73, 7, -97, -245?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 1*(sqrt(110) - 2*sqrt(110)) - sqrt(110)*1*3)\/(sqrt(30)\/sqrt(27) - ((sqrt(120)*3)\/sqrt(12) - sqrt(10))).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -325336945, -650673885, -976010825, -1301347765, -1626684705?\n\"Answer: -325336940*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20457 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000111010 + 11000010010110?\nAnswer: 1101001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2) - 6*-3) + -20342 + 20296.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2140*q - 1119*q = -8138 + 1620 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93679\/80 + 1171. Let y(i) be the second derivative of 0*i**2 - i + 1\/48*i**4 - 1\/24*i**3 + s*i**5 + 0 - 1\/120*i**6. Factor y(h).\nAnswer: -h*(h - 1)**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(28\/16)\/7*-2. Let p be (-30 - -3)*c\/3. What is the highest common factor of p and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 10:09 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185537 is divided by 4631.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342220 is divided by 3269?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 932 - 934. What is the nearest to l in -4, 5, -0.082?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3216, 25500, 85762, 202920, 395892, 683596?\n\"Answer: 3153*a**3 + 71*a**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(11)*1))\/(sqrt(40)\/(sqrt(8) + sqrt(96)\/sqrt(12))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u - 815 = 20*u - 2411 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.14. Which is smaller: z or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 12. Let w(d) = -225*d. Determine v(w(u)).\nAnswer: -675*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -89551 in descending order.\nAnswer: 1, 0.3, -89551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*u - 4 + 4)*(0*u + 3*u - 7*u) + (-4*u + u + 2*u)*(-3*u + u + 0*u))*(2*u + u - 12*u).\nAnswer: 198*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423 - -125?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 206 - -237 - (33 + 2 - (-2 - -1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125403401?\nAnswer: 19, 31, 212909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2746*x + 2752*x - 18492000 = 0. Round x to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7)*u)\/(u*u\/((u*u**17)\/u*u))*u*u*(u**(-12)*u)\/u*u*u**(-1\/11)*u assuming u is positive.\nAnswer: u**(697\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 8. Let r(m) = 2*m**2 + m + 3. Let p be r(2). Let c = 20 - p. What is the remainder when 19 is divided by s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 508 = -4*z, 2*z = -0*q + 2*q - 508. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1544 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/120 + a**4\/6 + a**3\/2 - 4*a**2. Let r(w) be the first derivative of i(w). What is the first derivative of r(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - -10225?\nAnswer: 10150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 15. Let w be i(-7). Is w less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6467140 (base 8) to base 7\nAnswer: 20503060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 + 20627371984\nAnswer: 20627371982.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 80. Let t(y) = 3*y - 82. What is -5*n(m) + 4*t(m)?\nAnswer: 2*m + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2969*v**3*w**3 + 3*v**3*w**2 + 218*w**2 wrt w.\nAnswer: -17814*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1584) - sqrt(11))*5 - (-6*2*sqrt(704))**2.\nAnswer: -101371 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -643866\/3511 or -183?\nAnswer: -643866\/3511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**3 + 42*c**3 - 62*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d3c3 (base 16) in base 4?\nAnswer: -2131033003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27bb33 (base 13) to base 10.\nAnswer: -968581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -98?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 - 36*z**3 + 81*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 3 - 4 + 1 - 7*a - 2*a**2. Let n be x(-5). Let r(q) = -2*q - 4. Determine r(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.51714kg to nanograms.\nAnswer: 72517140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5206870 divided by 10\nAnswer: 520687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/(-116) - (-1199)\/(-572)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-1) + (4 + 2 - 7). List the prime factors of (-1340)\/(-6) - u\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + (-129)\/9)*(-2)\/5. Let l = -2600 + 38956\/15. Let y = l + r. Put 4\/5, 0.04, y in ascending order.\nAnswer: 0.04, y, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*w + 18. Suppose 0 = p + w*p. Factor -1\/4*k**3 + 0*k**2 + p + 0*k.\nAnswer: -k**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, z: 1, h: 3, a: 3, g: 1, k: 2}. What is prob of picking 1 h and 2 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5031c7 (base 13) in base 15?\nAnswer: -26c1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**2 + 4*p**2)*(-p + 0*p - 2*p) + 42*p**3 - 81*p**3 + 34*p**3 + (2 - p**2 - 2)*((0 + 3 - 1)*(2*p - 4 + 4) - 4*p - 2*p - p).\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -35 + (-5 - -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/20*-5 - 101073\/(-14). Round n to the nearest one hundred.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2142 + 5052. What is the hundreds digit of 1\/3 - h\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1 - 17*p + 9*p + 8*p + p. Suppose 4*r + 2 = 3*z + 2*r, -3*z = 2*r + 2. Suppose -i + 2 = z, n + n - 2*i + 8 = 0. Calculate j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:50 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2 - 6)*-1. Solve z*k + 3 = 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 73. Suppose 6*i = 5 + p. Let t(l) = l - 5. Let f be t(8). Solve -c = -3*j + i*j - f, 0 = -3*j + 2*c - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8804, -5, -8, -2 in descending order.\nAnswer: -2, -5, -8, -8804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-4*j - 3*j + 3*j)*(j + 0*j - 3*j)*(-4 + 0 + 5).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.053*0.1954\nAnswer: 0.0103562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 194. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, t: 6}. What is prob of picking 2 p?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2\/5 (c) 1 (d) 18\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -353059 (c) 3 (d) 0.01 (e) 2\/21 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174926*r**3 + 202*r**2 + 111*r.\nAnswer: -1049556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25\/17, -4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504 + 2289322?\nAnswer: 2287818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 4. Suppose 16 = -3*b + 7*b. Suppose -b*t - 5 = -5. Give x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d**3. Let m = -12 - -172. Let g(n) = -m*n**2 + 160*n**2 + n**3. Calculate 30*g(l) + 3*j(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/11, -27, -0.1, -0.05 in decreasing order.\nAnswer: 0.3, -0.05, -0.1, -2\/11, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412231 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -10, -64, -172, -352, -622, -1000?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2974 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748881060 to the power of 1\/2, to the nearest integer?\nAnswer: 52430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8*f*(f**23\/f)\/f assuming f is positive.\nAnswer: f**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, k: 3, r: 2}. What is prob of picking 1 v and 2 k?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20689583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-28) + (-1)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (921\/614)\/((6\/8)\/(((-30)\/(-954))\/5))?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352023567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 + 611*f - 333. Determine b(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2983, 6008, 8981, 11872, 14651, 17288, 19753?\nAnswer: 22016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -16) + -8 + 1 - 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 13*w**2 - 7*w + 4. Let y be x(-12). Let i = 61 + y. Solve 0 = -2*z + i + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2040879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7 - 22*l + 15 - 33 + 12. Let t = 2 + -5. Is d(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*o + 324, -5*b + o - 426 = 3*o. Let i = b - -131. What is the second derivative of -i*y**4 + 7*y**5 + 9*y + 47*y**4 wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 + 10*j + 5. Let a be p(-4). Suppose a = v - 3*q, q + 62 = 2*v - 161. What is the greatest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 - -1) + 0. Suppose -w*v + 68 = u, -5*u = -2*v + 21 - 361. Calculate the greatest common divisor of 170 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - o + 2*o - 249 - 21 = -14*v, 5*o + 3*v - 77 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + 2)) + -2 + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, v: 8, k: 5}. Give prob of picking 1 v and 1 b.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -707*b**6 + 18*b**4 + 874*b**3 - 30596*b**2 - 80*b wrt b.\nAnswer: -84840*b**3 + 432*b + 5244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * -0.3.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.2. Let k = 1.54 + -1.3. Let d = -0.06 - k. Which is the biggest value? (a) d (b) g (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 19*z**4 + 2*z**3 + 20*z**2. Let r(y) = 37*y**4 + 5*y**3 + 39*y**2. Let u(a) = 5*i(a) - 2*r(a). What is the third derivative of u(b) wrt b?\nAnswer: 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72))\/sqrt(6) + 0)**2 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbzb when four letters picked without replacement from {i: 1, b: 2, r: 5, z: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -108394615609301\nAnswer: -108394615609301.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8307621 litres?\nAnswer: 830.7621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Let z(p) = p**3 + p**2 - p + 1. Let s be z(1). Let h = s - 0. Let n(a) = -1 + 1 - h*a. What is t(n(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96057432 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3508\/7 + -35913\/70. Find the common denominator of -67\/2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/2, 1\/2, 13, 49.34, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 12 = p. Let u = 696\/1765 - -2\/353. What is the closest to -0.1 in u, 5, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:19 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6 + 12. Let m be (-2)\/(2 + (-6)\/4). Let r(n) = -4*n. Calculate the remainder when r(m) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.481961072 to four dps.\nAnswer: 1.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2379085, -4758187, -7137285, -9516379?\nAnswer: -11895469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 7*a**5\/60 - a**3\/6 - a**2. Let f = -14 + 8. Let v be ((-14)\/(-21))\/(4\/f). Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5812 and 37132868?\nAnswer: 5812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1005 + -51?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5052835992325 - 0.03.\nAnswer: -5052835992325.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f - 1. List the prime factors of a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 51*s**2 - 223*s + 185. Give b(-46).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 582 - 6 - 0 - 1. Suppose -3*k + 605 = i. Solve -5*r + 5 = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(11\/(-5) - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20100100000111 (base 3) to base 10.\nAnswer: 3372367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210202121 (base 4) to base 6.\nAnswer: 22240041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Suppose 11*t + 20 = -13. Let z be (t\/15)\/(4\/(-40)). Let m(v) = 39*v**2 - 74*v**z + 28*v**2. What is r(m(g))?\nAnswer: -98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 - 205 - 201 - 6*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 - w**4\/24 - 3*w**2. Let p(n) = -4*n**3 + 2*n. Suppose -2*f = 4, 0 = -4*h + f + 2*f + 2. What is h*p(q) - 2*y(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -622626029\/8484 + 6501280\/101. Let i = c - -9018. Calculate the common denominator of 105\/(-48) + 4\/(-3)*(-15)\/10 and i.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + 0 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 915803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from {o: 5, p: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453958 = 52*n + 56834. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w - 285. Determine n(-7).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = x - 4*z, -21*z + 13 = -5*x - 25*z. Is x < -20\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.093802l in millilitres?\nAnswer: 5093.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -899.5 and -0.18754?\nAnswer: 168.69223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 2*w + 2 + 2 - 5 - w**2. What are the prime factors of l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00328987 to 5 dps.\nAnswer: -0.00329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 21042252?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 13. Let d be (-3)\/(m + 1) + -3. What is the units digit of 30*(d + (-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from offss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1088 - 730. What are the prime factors of f?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/768 (b) 4 (c) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (44413*l**3 + 155*l**4 + 44444*l**3 - 88846*l**3 + l)*(3 + 0 - 2) in the form t*l**4 + x + g*l**3 + y*l**2 + o*l and give t.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -20.2. Let m = c - 7.8. Let i = m - -2. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7117, 28477, 64077, 113917, 177997, 256317?\nAnswer: 348877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198430.77 seconds in weeks?\nAnswer: 10.248728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shyy when four letters picked without replacement from yhqdysttttyh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:08 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 20e4?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11684 and 90127455.\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75426833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 9 - 5*a**3 + 2*a**3)*(4*a**2 - 5*a**2 + 3*a**2 + (0*a - 2*a + 3*a)*(2*a - 2*a + 3*a)).\nAnswer: -15*a**5 - 120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293 is divided by 455?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**3 + 24*d**2 + 9*d - 19. Let b(i) = -i**3 + 5*i**2 + 2*i - 4. Let u(a) = 11*b(a) - 2*j(a). What is the units digit of u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/5 (b) 5\/14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 7)*(-t + 3*t**2 - 1 + 1).\nAnswer: -9*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/40*66\/15. Which is smaller: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 4*c + 3. What is r(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/16)*o)\/((o**30*o)\/o))\/((o**(2\/9)\/o)\/(o**6*o)) assuming o is positive.\nAnswer: o**(-3065\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 862422 and -168.\nAnswer: -144886896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5304859803*b**3\/4 + 5304355191*b**2\/4 + 126150*b + 3 = 0. What is b?\nAnswer: -2\/42051, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -223*z**3 + 6*z**2 + 2*z - 12. Let s be r(-6). Suppose 5*d + s = -5*h, 0 = 5*h + 8*d - 6*d + 48354. Round h to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 3 - -2 - (-3 - (-3 + -7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/243930 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12756385 to the power of 1\/2, to the nearest integer?\nAnswer: 3572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + -1.9. Let o = u - -7. What is the third biggest value in -2\/3, -0.5, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*p - 20, -2*p = -8*f + 10*f + 8. Let d(r) = -13*r + 919. Is d(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Suppose 0 = -y*u - 15, 4*a - 4*u - 92 = -a. What is the remainder when 30 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyiiiuriiiuurrr. Give prob of sequence iry.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 3690020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -976, -974, -972, -970?\n\"Answer: 2*v - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h\/(h**(1\/7)*h*h)*h)*h)**(4\/3)\/((h\/((h**(10\/7)*h)\/h))\/(h**(-7)\/h)) assuming h is positive.\nAnswer: h**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261.863 - -262. Let o = 5.137 - z. Which is the third smallest value? (a) o (b) -2\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:39 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 8*m\/7 - 64\/7.\nAnswer: 2*(m - 8)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 190*g - 85*g - 27 - 101*g + 64.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:16 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 14*t**2 + 205*t + 52. Let g be b(23). Solve g = 3*l - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 503987 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 4, 15, 48, 115?\n\"Answer: 2*j**3 - 7*j**2 + 8*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/3 + 29832*g - 4302720 = 0.\nAnswer: -89640, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlbbwjbgjw. Give prob of picking 2 w and 2 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -29*d**2 + 1 + 13*d**2 + 14*d**2 - 15*d. Let w be m(-7). Suppose -17 = w*n - 1. Let q(h) = h**3 + h**2 - 2*h - 3. Give q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a + 1. Let y(r) = 194*r**3 + 3*r**2 + 13*r + 1. Give -3*j(m) + y(m).\nAnswer: 194*m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34073 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 3, t: 6, v: 1, l: 1}. Give prob of picking 1 v, 1 e, and 1 l.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688709057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (76744\/905)\/(2\/215)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - q - 4*q - 6*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 + 7*n - 7. Let s be w(4). Suppose 11 = s*y - 4. Solve y*g = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 + 12*o**2 - 16*o - 1. Let i = 45 - 38. Let q be c(i). What is the hundreds digit of (q - 2)\/(-3 - (-3)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/5))**(5\/4))**(-1\/82))**(-3\/7) assuming a is positive.\nAnswer: a**(9\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2448) + sqrt(2448)*-2 - (0 + 1 + sqrt(2448))) + -3 - (-5 + (sqrt(2448) + 5 + sqrt(2448)*-1 - (-2*sqrt(2448)*1 - sqrt(2448)))**2))*5.\nAnswer: -110270 - 1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (2 + -1*sqrt(1088)))*3)**2 - -5*1*sqrt(1088)*-4.\nAnswer: -736*sqrt(17) + 39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*h**2*k*y + 2*h**2*k + 2*h*k**3*y - 2*k**3*y + k**3 - 34*k**2 with respect to h.\nAnswer: 186*h*k*y + 4*h*k + 2*k**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 18*z**2 - 24*z + 429. Let i be b(18). Sort 4, -98, -2, i, -5 in decreasing order.\nAnswer: 4, -2, i, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/13? (a) 2 (b) 86 (c) -1\/2 (d) -65\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:46 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**17)\/f*f**3*f*f**(-20)\/f**(-1\/9))**(-2\/13) assuming f is positive.\nAnswer: f**(-20\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4 + 4*s + 4.\nAnswer: 4*s + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Let l(r) = -r**2 - 1. Let y(o) = 11*o**2 - 6*o + 4. Let f(x) = -4*l(x) - y(x). Let a(i) = 6*i**2 - 5*i. Determine h*f(c) + 6*a(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22539678 divided by 46666\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64711.72 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/96)\/(17*(-322)\/(-3128)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 620 - 4*t**3 - 3*t - 622 + t + 7*t**3 - t**2 to c + d*t**3 + y*t**2 + m*t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfftrrrrtfrtt. Give prob of sequence tf.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3.786, 2, -10, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/30 + m**4\/24 - 5*m**3\/6 - 6*m**2. Is u(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.6 + 56. Let i = w + 8.5. Let v be (-126)\/(-49) - (-8)\/(-14). Is v not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -58810*f - 470476. Calculate x(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(58\/(-696))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -341*g**2 - 5*g - 46. Let m(z) = z**2 + z - 6. Let c(y) = k(y) - 6*m(y). What is the second derivative of c(t) wrt t?\nAnswer: -694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 443\/546?\nAnswer: 443\/546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 - (-18)\/4. Suppose -14 = -i*d + 6. Suppose 0*w - 3*w + 104 = 4*p, -107 = -d*w + p. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-40)*6\/(-9). Let y be 0 - (0 - (1 - -2)). What is the third smallest value in 3\/2, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4*496\/(-24) and (-1)\/(5*(-4)\/26).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2 + 1. Let n(q) = -q**2 + 5*q - 2. Let a be n(2). Let t(o) = a*o + o - o. Determine h(t(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.4. Let z = -3591 - -3592.917. Let y = z + 0.083. What is the closest to 1\/4 in a, y, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 738\/31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**(-2\/7)\/t*t)\/t))**(-4\/9)*t**11\/(t**(1\/12)*t))**(-33))**(-29) assuming t is positive.\nAnswer: t**(715517\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 47*b + 40*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 51?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 140, 538, 1196, 2114, 3292?\n\"Answer: 130*q**2 + 8*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 265\/2, -3.2, 6?\nAnswer: 265\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -20. Let h = a - 17. Let y(l) = -l**2 - 7*l. List the prime factors of y(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/12212 and -49\/20?\nAnswer: 61060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 bigger than 2\/999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*c**2*l*v - 75*c**2*l - c**2*v - c*l*v - 211*c*v + l - 7 wrt c.\nAnswer: -46*l*v - 150*l - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-30)\/(15\/1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*z - 1837 + 2085 + 2273 + 2983 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**3\/3 - 7*w**2\/2 + 6*w + 2. What is p(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Suppose 4*j - i = -2*l + 1, 0 = -3*j + 4*l + 14. Differentiate -2 + 0*u - j*u + 1 + 0 wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - (3 + (1 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 9*d**4 - 10*d**4 + (d**2 - 2*d**2 + 4*d**2)*(-3*d**2 - d**2 + 5*d**2) + 44*d**4 - 28*d**4 - 9*d**4.\nAnswer: -11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*d - 8, -i + 0*d = -d + 2. Suppose 27*x - 13*x = x + 130. Find the common denominator of -89\/4 and i - 99\/24*5\/x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -309 + 334. Suppose t*w + 4*s = 30, 3*s - 21 = 5*w - 8*w. Factor w + 4\/3*x - 2\/3*x**2.\nAnswer: -2*(x - 3)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*c + 58*c + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**4 - 7*n**4 + 2 + 3*n**2 - 3*n**2 - 2*n**2 as r*n**2 + x*n**4 + c*n**3 + o + z*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(-132))\/((-1320)\/(-652) + -2) and -131\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1 + 0\/(-66))\/(18\/(-39)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12*t + 5. Let j be n(-9). Let u = -76 + j. Find the first derivative of -43 + 26 - 19 + u*r wrt r.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1452524 and 9\/6752.\nAnswer: 11620192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 313 = 5*c - 2*i, c = -3*i + 60. Suppose 0*f + 3*f = c. What is the remainder when (-1*122)\/(3 + -5) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 5*d**4 + 10*d**3.\nAnswer: -5*d**3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 100*s + 254. Determine a(97).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 5*z + z - 5*z + 4*z - 2*z + z**3 - 4. What is l(-4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+14.69\nAnswer: 15.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 252, -0.06, 5\/4 in ascending order.\nAnswer: -0.06, 2\/21, 5\/4, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 314 - 641 - m - 664 as s*m + h and give h.\nAnswer: -1619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248344863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bif when three letters picked without replacement from {f: 7, b: 3, x: 1, w: 4, i: 1, n: 2}?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64795, -64797, -64803, -64813, -64827?\nAnswer: -64845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 64*w - 1224 = 0. Let a = -439 - -631. What is the greatest common divisor of w and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -358ecf (base 16) to base 7.\nAnswer: -41556066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010010 + 11101?\nAnswer: -10110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4044*t**2 - 116201*t + 116201*t)*(2 - 2 + 4)*(-3*t - t + 5*t) as d*t**2 + s*t + u + l*t**3 and give l.\nAnswer: -16176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2015927647 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -83. Suppose -2*g + 0*g + 28 = 0. Suppose -4*q = -x + g. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -o - 42, -5*p - 2*o = -6*o - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(140))\/(sqrt(50)\/(sqrt(30)\/sqrt(3))).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 336.3357 and -5.\nAnswer: -1681.6785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -543, -541, -539, -537, -535?\n\"Answer: 2*d - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z - 28 - 21 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f - 18. Let k = 14 - f. Suppose -3 + 0*s - 5*s**k - 4*s**3 + 5*s + 4*s + 3*s**2 = 0. Calculate s.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -16 (b) 0.4 (c) 14\/5 (d) 1\/10 (e) 1151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 80 = -4*y, w - 77 + 39 = -2*y. Solve -4*x - 3*h + 20 = -8*x, -y = -x - 5*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/11 (c) -0.61 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 0.0450286864 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7161 - 7141. Let b(k) = -3*k + 52. Give b(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*i - 4 + 3, 3*w = 10*i - 27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(3 - 9\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -12\/5 (b) -0.1 (c) 10 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -2 - (-323 - -291)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + 1 - 1)*(2 + 3 - 6) - 1 + a + 1 + 3*a - 2*a - 3*a + a - a + 2*a - 3*a - 3*a + 2*a + 4 + 2*a - 4 + 0*a + a + 0*a)*(5 - 4 + 0).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 10 = 5*y. Let o = -3 + y. Let w(f) = -13*f - 1. Let k be w(o). Solve 4*g - 2*l = k, 3*g - 2*l - 3 = l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.7\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 16*m**2 - 16*m + 6. Calculate s(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5392, -21723, -48994, -87205, -136356, -196447?\nAnswer: -267478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3626 and 1325712738.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -340.0301*-60\nAnswer: 20401.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106686, 106694, 106696, 106686, 106658, 106606?\n\"Answer: -f**3 + 3*f**2 + 6*f + 106678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s. Let h(l) = 338*l - 2. Give j(h(c)).\nAnswer: 3718*c - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 153*y**2. Let z(p) = -2*p. Calculate z(s(t)).\nAnswer: -306*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6812 = -4*u, 5*c + 2*u - 1803 = 6703. Round c to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*u + q + 12, 0 = -5*q - 5. Suppose 0 = -2*i + n + u, 3*i = -3*n - 6. Solve 2*f - j - 9 = 0, -i*f - 4*j = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**3 + 3*n**2 + 14*n - 1. Let g(p) = 15*p**3 + 4*p**2 + 14*p - 3. What is 3*g(j) - 4*y(j)?\nAnswer: -3*j**3 - 14*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -31, -35, -39?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15102*n + 576 = 15150*n. Solve n*y - 199 + 235 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(sqrt(80) + sqrt(80)*2 + -4)*1*1)**2.\nAnswer: -124416*sqrt(5) + 953856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1125132.\nAnswer: 3375396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-128)\/((-5 + 7 + -3)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 2*m - 11926. Let b(d) = 3*d. Determine f(b(y)).\nAnswer: 9*y**2 - 6*y - 11926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1684*h**2 + 4*h - 51514.\nAnswer: -3368*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(2\/(-7)*-7). Let v = d - -165. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020112100211 + 1?\nAnswer: 12020112100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*i = -18, -5*j = -3*i - 0*i + 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 + 3*n + 1. Calculate j(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3034675.62909 - -3034804.1. Let a = -0.01091 + d. Let m = a + -127. What is m rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 - -100. Suppose -u - 2*u - g*o = -18, -25 = -5*u - 5*o. Solve 3*z - 12 = 3*n, -u*z + 5*n = -0*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1333423500 to the nearest one million.\nAnswer: -1333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153215 + -3351?\nAnswer: -201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 57 = 17. Let v = q + 3. Solve 5*k + 0*s = -4*s + v, 11 = 5*k + 3*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose 0 = p - 20 - a. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 45 = -3*v - 2*v, -2*v = 3*p - 23. Let a be (-4)\/(-20) - (-128)\/10. What is the derivative of -a + v + 1 - 7*w**2 wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6*135\/60. Find the third derivative of 13*q + q**6 + n*q**2 - 23*q**4 - 7*q**2 - 42*q**5 + 42*q**5 wrt q.\nAnswer: 120*q**3 - 552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 657 - 647. What is the lowest common multiple of m and 528?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 2*n**4 + n**4 - 2*n**4 - 7*n**4 - 5*n**4 + (-6 + 1 + 2)*(0*n + 2*n**4 + 0*n) + (0 - 3*n**3 + 0)*(2*n - 1 + 1) - 8*n**4 - 3*n**4 - 2*n**4.\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12 + 4\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.8 - 20. Let p = y - -3.8. Let h = p + -3.599937. What is h rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b = 84*b - 10356. List the prime factors of b.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -893*m + 2*m - 314*m - 153*m as p + u*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.145 plus -1038051?\nAnswer: -1038051.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 6\/7, -1\/4, -2\/57, 0.5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f + 32. Let b be w(-2). Suppose 5*z = 3*i + 15 + b, -3*i - 3 = 0. Calculate the remainder when 9 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 + 31*g**2 + 22*g - 8. Calculate r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*q**4 + 3*q**3 - 10*q**4 + 3*q + 13*q**3 + q**2 - 41*q**4 in the form r*q**4 + z*q**3 + o*q**2 + u + j*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6789 and 8097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*y - 6 = 0, y + 3006 = -3*m + 3023. Let p be (65*4)\/((-2)\/(-4)). Suppose -5*f + 1295 = 5*g, -2*g + 0*g - m*f = -p. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - p + 12. Let c be g(0). Suppose 8*x - c*x + 364 = 0. Suppose v - x + 3 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**8\/15120 + b**7\/7560 - b**6\/1080 - 7*b**5\/60 + 5*b**2. Let c(y) be the third derivative of u(y). Factor c(f).\nAnswer: 2*(f + 1)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6407 + -5?\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 169.069. Let m = k - -0.0668. Round m to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2030*k - 2045*k = 195 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2\/9, 4\/21, 5\/2, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*k - 521 = 9151. Let i = -380 - -575. What is the greatest common divisor of i and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 99*p + 3. Let h(k) = 201*k + 5. Determine 7*c(y) - 4*h(y).\nAnswer: -111*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n. Let v(q) be the third derivative of -q**6\/80 - 11*q**4\/6 + 18*q**2. Let t(m) be the second derivative of v(m). Give x(t(p)).\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/27 and 5\/1374.\nAnswer: 12366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*q**3 + 345640*q**2 + 60815354 wrt q?\nAnswer: -48*q**2 + 691280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 3:49 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x + 627 = -253. Let z be 9 + -12 + x\/(-5). What is the closest to 1 in 2, -4, z, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 10. Suppose d = 5*x - 19. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u**3 - 66*u**2 + 79*u - 60. Let t(i) = -7*i**3 + 33*i**2 - 39*i + 31. Let s(b) = 6*h(b) + 11*t(b). Find c such that s(c) = 0.\nAnswer: 1, 19\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 + 4*q**3 - 5*q**2 - 8*q - 1. Let p be n(11). Find the first derivative of p - 11 - u**2 - 3*u**2 wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(5\/4)\/f))*f*f\/f**(-36))\/((f**(2\/85)*f)\/f**(2\/31)) assuming f is positive.\nAnswer: f**(403587\/10540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - 0.05. Let w = -0.3 + v. Let t = 0.26 - 0.06. Which is the biggest value? (a) t (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*k + 11 = -o, -3*o - 5*k - 1 = 0. Let s = 540 - 540.66. Let i = 0.16 + s. What is the fourth smallest value in 2\/13, o, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25976 - 0.15976. Which is the closest to i? (a) -4 (b) 2\/9 (c) -129\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:10 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 114 = -5*t, -m + 360 - 351 = -2*t. What is the remainder when 2070 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/2)*b)**(10\/9)\/((b\/(b*b*b*b**(-3)))\/b*b*b**(2\/23)*b))**(-12\/5) assuming b is positive.\nAnswer: b**(116\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2662))\/(sqrt(99)\/sqrt(144)).\nAnswer: -44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 - 70*y**2 - 20*y + 70. Let r be k(-23). Sort -24, -1, 11, r in ascending order.\nAnswer: -24, -1, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 4470031455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = -3*v + 86, -4*v - 2*r + 108 = 0. Calculate the least common multiple of 9\/11*25102\/3423 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3174 and 50.\nAnswer: 79350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from errecccceaearrearae. What is prob of picking 1 e, 1 r, and 1 a?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 73.1 (b) 79917 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/11, -328, -0.2, 2, -2, 4?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 318\/18)*(-4 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -17*t**3\/6 - 155*t**2\/2 - 44*t. What is the smallest common multiple of 2 and w(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 52*k = 2*u + 43837, 2*k - 87647 = -5*u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-828)\/1464*308\/(-3542))\/1.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 3*m**4 - 5*m**4 + (-m**3 - 5*m**3 + 3*m**3)*(0*m - 2*m + m) + (m + 2*m - m)*(-2*m**3 + 3*m**3 + 2*m**3).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*t - 1\/7*t**2 + 0.\nAnswer: -t*(t - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18659 + -18421. Let q = -4 - -11. Calculate the greatest common factor of u and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(2*n + 5*n - n)*(-12*n - 4*n - 14*n) + 2*n**2 - n**2 - 3*n**2.\nAnswer: -182*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*p - 668 + 298 - 640 = -36*b + 349*p, 5*b - 145 = 5*p for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111010100100000 (base 2) to base 12.\nAnswer: -121080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.571 (b) 13\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 10 = -11*l + 5. Sort -3, 7, l, 2, 37 in descending order.\nAnswer: 37, 7, l, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1863, -3317, -4449, -5259, -5747, -5913?\nAnswer: -5757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/191 - -2462\/3247. Is h >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, 3, 1 in ascending order.\nAnswer: -1, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 24. Let i be v(-10). Let z = 1 + i. Let l(r) be the second derivative of -r**4\/12 + 7*r**3\/6 - 3*r**2 + r. Give l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d + 14. Suppose d*q - 36 = -9. Suppose q - 11 = -k. Solve -p = -1, l + k = 2*l + 5*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*k - 82 = 71, -5*k + 106 = 4*j. Let r = 13 + j. Let f be (-26)\/(-7) + 12\/r. Solve -f*u + 2 = -0*n - 2*n, -2*u = 5*n - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13878.1 + 13878.1200062. Let j = r + -0.02. Round j to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h**4 - 415*h**2 + 405*h - 100 = 0.\nAnswer: -5, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**4 + 6*c**3 + 3. Let a(i) = 6*i**4 + 17*i**3 + 9. Let w(x) = -6*a(x) + 17*y(x). Differentiate w(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d7 (base 16) in base 3?\nAnswer: 21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in microseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37092171225+11171\nAnswer: 37092182396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {a: 2, s: 1, d: 2, k: 1, t: 1, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2454*g**3 + 2*g**2 - 16*g + 112. Let f be u(-32). What is f rounded to the nearest 1000000?\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n + 110. Calculate c(7).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 208\/5. Let n = -287 + 290. What is the fourth biggest value in 0.16, n, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -6*f - 6 + 5 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 1 + 0*q + 21\/4*q**4 + 0*q**2 + 22\/3*q**3. Find the third derivative of u(j) wrt j.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-1000)*35*230\/(-2737)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c = 0. Suppose c = -0*z + 5*z. Let p(m) = m**2 + m + 59. Is p(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299 + -312. Let p be (-27)\/(-5) - (k + 2 + 16). Sort 0.1, p, -2\/45, 0.5 in decreasing order.\nAnswer: 0.5, p, 0.1, -2\/45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2. Let g(o) = 1400026*o**2. Determine r(g(z)).\nAnswer: -11760436804056*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 + x**2 + (-x + 2*x - 2*x)*(-2 + 2*x + 2) - 693*x**2 + 697174 - 697174)*(-x + 5 - 5 + 3*x - 4*x + 0*x + (2 + 0 - 1)*(-x + 2 - 2)).\nAnswer: 2082*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, 2\/11, -0.03, 425?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 725372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*r + 30 = 535*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -110. What is the common denominator of -59\/6 and (-24)\/j - (-1)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27778.2 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3654 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 128 - 126 + 2*x**3 + 246 + 61*x + x**2 to the form s + c*x**2 + a*x**3 + b*x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - 70. Let p = l + 91. Suppose p = -y + 8*y - 259. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.597 and -0.3.\nAnswer: -1.3791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4 - 3 + u**2 + 0 - 3*u - 3. Let c be k(-7). Let q = c - 16. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*u - 51 - 591 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1742*r + 6041. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*p**3*x**3 - 33*l**2*p - 36*l*p**2*x**3 + l*p*x + p*x**3 wrt p.\nAnswer: -18*l**2*p*x**3 - 72*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 - 254 + 1020 - 241 - 240 + 6*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from ppgpggpmpgppmp?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1319*1.262\nAnswer: 1664.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 390\/52*42\/(-175)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -j - j, -4*j = 3*c. Let v be (-5 - (-84)\/16)*c. Solve 0 = 2*n - 2*r - 12, 0 = n - v*n + 2*r - 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5))**(1\/10))**(2\/13) assuming i is positive.\nAnswer: i**(3\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 47. Is k\/(-2) - (-471 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 8 (c) 468 (d) 3\/2 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 2*h + 36. Give y(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24604 - -25312. Calculate the lowest common multiple of 3540 and u.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 + 4235*n**2 + 206955*n + 202725 = 0.\nAnswer: -795, -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-112153\nAnswer: 10093.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 276521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -6155\/748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724, -727, -732, -739, -748, -759, -772?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, -940513, -4\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 = 146*r + 703 + 1231 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2\/33 in decreasing order.\nAnswer: 5, 3, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*x + (31 - 1 + 143)*(x - 3*x + 4*x))*(0*x + 4*x - 3*x).\nAnswer: 342*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -16*x**2 + 167*x + 41. Determine p(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3405 and 109545.\nAnswer: 24866715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -2. Let h = 11 + j. What is the smallest common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 34 = -2*h - 28, -4*d = 2*h + 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/5)*f*f)\/(f\/(f*f**1*f*f)))\/((f\/(f\/f**(2\/3))*f)\/f**(4\/7)))**(-2\/23) assuming f is positive.\nAnswer: f**(-694\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*v + 88*v + 216*v)*(2*v**2 + v**3 - 2*v**2).\nAnswer: 440*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 4 - 2*b - 2. Suppose y = x + 8, 2*x + 4*y = 3*x + 17. Is j(x) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000836 rounded to six dps?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 71. Is f(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 78906*l - 144 - 78902*l - 163 as t + p*l and give t.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t + 7. Let a(r) = -4 - 2*r + 2 + r. Let v be a(-2). Calculate x(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/396 and 47\/1536189?\nAnswer: 202776948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22097 = 2627*t + 72475 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {h: 3, e: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22248989.\nAnswer: 7, 454061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 - 4 = 0. Let o(p) = 15*p - p**z - 15*p. Let x(w) = -4*w. Determine x(o(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-4)*(-1 + 3). Let v = r + -13. Is (-1)\/(-3) - (3184\/v)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2338 (base 13) to base 10\nAnswer: 4948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 2)**2 + -4)*4.\nAnswer: 192*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 7*f**2 + f. Let j = 0 - 19. Let a = 26 + j. Let k be w(a). Solve -17 + k = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 1 - 397 = 0. Let w = -6 + 6. Let f be 0 + -1 + w + 55. What is the greatest common divisor of f and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -14. What is the second derivative of -9*y**2 + 2*y**s + 8*y + 3*y**2 wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 6*s + 20. Suppose 7 = 3*d + 3*w - s*w, -w = 1. Factor 1\/4*r + 1\/4*r**3 + 1\/2*r**d + 0.\nAnswer: r*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 10*s + 15 = -u, u + 3 = 0. Which is the fourth smallest value? (a) -0.4 (b) s (c) 6\/7 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 39 - 159. Let i = -34 + -4. Let v = b - i. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. What is the second smallest value in 2\/5, -2\/7, u, 135?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Solve -2*h - 10*h**3 - 9*h**2 + 7*h**3 - k*h = 0 for h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-18 + 64) - -35\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -774 + -6?\nAnswer: -77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/51 - 5*y**3\/51 + 2*y**2\/17 + 14*y. Factor a(m).\nAnswer: 2*(m - 2)*(2*m - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-25))\/2*3\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2105095.2 to the nearest 10000.\nAnswer: -2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -44, 1\/6, 2\/11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99.03687 + -98.92687018. Let v = -23.89 - -24. Let r = g - v. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/95)\/((-28)\/2100)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*j*w*y + 102*j*w - 568*j*y + 423*j - w*y + w wrt y?\nAnswer: -109*j*w - 568*j - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 414652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 156*-17.13\nAnswer: -2672.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g - 20*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2 + 12, -3*r = -3*j + 51. Suppose -1583*p = 1010*p - 28600 - 49190. Calculate the greatest common factor of j and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52500865.\nAnswer: 5, 67, 156719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 9*c**2 - 12*c - 13. Let l be g(10). Put -1, -0.07, l in increasing order.\nAnswer: l, -1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 1\/6*w**4 - 1\/120*w**6 + 1\/60*w**5 - 2\/3*w**3 + 0*w + 0 + 49*w**2. Solve g(u) = 0 for u.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -10*b + 50. Let g = -4 + b. Suppose 3 = -c + 2*q - 0, -q = 4*c - g. Solve 2 = s + c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/3 + 26*v**3\/3 + 16*v**2\/3 - 104*v\/3 - 32 = 0. Calculate v.\nAnswer: -12, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068447223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**7\/210 + 147*q**6\/40 + q**5\/60 + q**4\/12 + 467*q**3\/3 + 2*q**2 - 187. Find the second derivative of b(j) wrt j.\nAnswer: 12*j**2 + 2646*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 5:07 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 655*o**4*u + 3*o**2*u**2 - 7*u**2 + 49*u + 1 wrt o?\nAnswer: 2620*o**3*u + 6*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p - 249 = -539 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 17 = 3*n, j - 33 = -5*n - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 - 324 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37587?\nAnswer: 3, 11, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1662\/4709*(-34)\/(-8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 148*p - 1379 + 4484 = 0 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012249563 rounded to six dps?\nAnswer: -0.01225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + x - 10 = 0, 0*o - 4*x + 12 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12158, 25289, 38420?\nAnswer: 51551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = -48*d + 1339. Let w(q) be the first derivative of 22*q**3\/3 - 10*q**2 + 22*q + 15. Let z(c) = 9*c**2 - 8*c + 9. Give d*z(i) - 5*w(i).\nAnswer: -2*i**2 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 6. Let o(v) = -2. Let h(j) = -3*o(j) - z(j). Let f(a) be the third derivative of 5*a**4\/24 + 2*a**2. Give f(h(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 432, 431, 436, 453, 488, 547, 636, 761?\n\"Answer: x**3 - 3*x**2 + x + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.662087622 rounded to two dps?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66415.85ml in litres?\nAnswer: 66.41585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13849\/19586822 - 6\/5939. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 122?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (476\/1)\/(35\/42 + 89\/(-114))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4418\/9 + 188\/9*h + 2\/9*h**2.\nAnswer: 2*(h + 47)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(500) + (-2*sqrt(500) - sqrt(500))**2 + -5.\nAnswer: 10*sqrt(5) + 4494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + k - 5*k + 8, -1 = 2*t - 5*k. Solve -5*i = -5, 3*b + t*i = -0*b - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 - 814. Let u = 1087 + c. List the prime factors of u.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166424.61 months to centuries.\nAnswer: 138.687175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436986514 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 44\/(-12)) + -3. What is the third biggest value in 1\/7, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*o = 507*o + 242176. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 24 = -3*h. Let j be -1 - (h - (-2 - 0)). Let a(q) = q + j + 2*q - 5*q. Calculate a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 2. Let z(w) = w**2 - 19*w - 40. Let n be z(21). Suppose 9 = 3*u, 2*u + 0*u - 14 = -n*m. What is q(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 2 + 0 + -1 + -5 + -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015063 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -60. What are the prime factors of r + 9 - (-28)\/(-6)*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -26*d**2 - 10*d - 60. Let a be c(-6). Let o = a - -1571. List the prime factors of o.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355337 (base 8) to base 6\nAnswer: 2334451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.096 - -0.096. What is the nearest to -0.35 in 5, d, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r + 15. Let n be c(0). Suppose 0 = -n*f + 4*f - 44. Let y be (0 + -3)\/(0 - -1). Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 17 + 2 = 0. Let k(s) = 2*s**2 + 5*s. Let g be k(i). Let t = 1366 + -1356. What is the greatest common factor of t and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595609 not equal to 5595609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*w - 2057 = 13491 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 850, 1284, 1718, 2152, 2586?\nAnswer: 3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcmiz. What is prob of picking 1 i, 1 m, and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*g - 8, -15 = 3*l - g - 4. Which is the closest to -1\/3? (a) l (b) -4 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/14 and 109\/611524.\nAnswer: 4280668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033 - -2?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 3, 1\/4, -4 in increasing order.\nAnswer: -4, 1\/4, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -12, -9.\nAnswer: -12, -9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24545353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -421. Let a = d + -215. Does 97 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c = 4*v + 14*c - 35, 0 = v - 2*c - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 3\/7, -159\/7, 15, -1\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 162\/21. Let u be ((-20)\/(-60))\/((-1)\/6). Calculate the lowest common multiple of 4 and 36\/c - u\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 6*p + 2. What is the tens digit of y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2240*s**5 + 11264*s**4 + 1916*s**3 - 54962*s**2 - 49280*s + 28072 = 0.\nAnswer: -11\/4, -2, 2\/5, 29\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/19 - 118*f**2\/19 + 2080*f\/19 - 9464\/19.\nAnswer: 2*(f - 26)**2*(f - 7)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 - 0)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 6*l - 5*l**2 - 1\/3*l**3 + 0. What is the units digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*o - 13, 3*z = -2*o + 15 + 24. Calculate the least common multiple of z and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 19 = -2*r, 5*r - 10*r = -5*g + 50 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = 4*i, 0 = 4*i + 3*w + 2*w - 14. Suppose -37 = -i*n + 29. Solve 4*q = -3*p - 11, q - 4*p + 6 = -n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 98. Calculate the remainder when 25 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.1 from -0.2.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -21, -37, -59?\n\"Answer: -3*n**2 - n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 42*i**3 - 3*i**2 + 1. What is n(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35118 (b) -0.5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 95661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74947.87s in nanoseconds?\nAnswer: 74947870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 447174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyw when three letters picked without replacement from wywywy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 6. Let v(z) = -4*z + 6. Let b(m) = -6*j(m) + 5*v(m). Let l be b(-3). Let i(y) = -y**3 - y**2 + y + 2. Calculate i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 32 = 3*v + 56, 116 = -4*v - 4*k. Let q be v*2\/(-4) + -1. Calculate the highest common divisor of 140 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1546920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 0 - (66 - (-31 + 60)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 s when four letters picked without replacement from gggsssy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8532)\/144 - -59 - (-35)\/12\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/7, -2\/11, 0.1, -69?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4244*z + 1934*z + 1982*z + 33.\nAnswer: -328*z + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1260)\/450*1625\/(-5460).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-84) - (-22)\/(-12). Let d be ((-12)\/(-54))\/(i\/(-132)). Suppose -60 = -0*a - 4*a. Are a and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 5*r**2 + 39*r + 75. Let a be u(-2). Let v(g) = -2*g**2 - 12*g + 10. Let x(d) = d + 1. Give a*v(i) - 8*x(i).\nAnswer: -2*i**2 - 20*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 16) to base 7.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 6 - 144\/(-8). Is 9 a factor of (-856)\/o*(-9)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15867, 15863, 15857, 15849, 15839?\nAnswer: 15827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110*y**2 - 94*y - 16.\nAnswer: 2*(y - 1)*(55*y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -33942.0761 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 254 = -5*g + 240, 0 = 2*g - i + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2460\/756*7 - 23.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v*v*v\/v**(2\/11))**(-43)*(v\/(v\/v**11)*v*v**(-3\/4))**(4\/7) assuming v is positive.\nAnswer: v**(7719\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 13) in base 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/121, -5, -0.4, -0.5, 1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071154019 to the power of 1\/2, to the nearest integer?\nAnswer: 55418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 48 = -3*q, -4*j - 2316 = q - 2272 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqwuvyyvyqyuyu. What is prob of sequence uy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 11578 = 4*j + 11578, 16 = -4*j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740920 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 - 7*u - 12*u + 39*u - 22*u.\nAnswer: -2*u - 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 10*z**2 - 8*z - 9. Let u be h(9). Let p(t) = -t**3 - t**2 + t + 35. Let k be p(u). Solve -2*o = -d - 15, -k = -3*o + o + 5*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.184 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 + l - 4. Suppose 2*f - c - 8 = 0, 2*c = -2*f + 5*c + 16. What is the tens digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 14 = -26*h + 4*b, 13 = -3*h + 2*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644452186 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 47*u + 10. What is h(-9)?\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 14. Suppose -4*h + 2 = 6, -i*s + 91 = 5*h. Let l(q) = 119*q**3 + 1. Let b be l(1). What is the greatest common divisor of b and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8320 = -4*z - 116, -2*k + 6153 = 3*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000011220001002 + 2010?\nAnswer: -1000011212221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*b = -12, 5*g = -5*b + 8*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1)*(-4 + 3 + 0) + (3 - 3 + 2)*(2*t + 1 - 1) - 6*t + 7*t + 4*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 6*s. Let y be p(7). Let n = -1 - -4. What is the second derivative of -y*z**n + 5*z**3 + z + z wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 15, 0*m = 5*m - 5*p - 32445. List the prime factors of m.\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*c**2 + 23*c**2 + 37*c**2 + 10*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(272) + 5 - (2 + sqrt(34)\/(sqrt(2)*-2))) + 3)**2.\nAnswer: 85*sqrt(17) + 5013\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366 - 300 = 13*i. Let x = i - 79. Solve 4*h - x*g = -9, -4*h - g - g = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -18, -75, 1 in descending order.\nAnswer: 1, -18, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 3*s + 25, 11*o - 67 = 8*o + 5*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -16\/95 - -55\/304. Let f = 113\/560 + p. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 172? (a) -5 (b) -183 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 2, b: 6, m: 2, h: 6}. What is prob of sequence hcj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97732 and 11236?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2130*n + 2122*n + 158488. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {w: 1, l: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -33*v - 522. Calculate the remainder when 224 is divided by i(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/15 + 74*c**3\/5 - 2*c**2\/15 - 74*c\/5 = 0?\nAnswer: -111, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2113594 to 3 decimal places.\nAnswer: -3.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15835 (b) -2\/9 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1213.1 + 1497.1. Sort -4\/7, 0.5, d in increasing order.\nAnswer: -4\/7, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/15)*h\/(h\/(h**(-20)*h)))\/(h**9)**(-32) assuming h is positive.\nAnswer: h**(4031\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**2 - 1. What is the remainder when b(1) is divided by (-4)\/(16\/(-36)) - (0 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) - -3*114\/(-108)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/(-12) + -1)*-3. Let i = -18 + 13. Let m = l - i. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/(-80)*189324 + 14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 618037 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = s - 9*s. Let u be 1\/(-2) + (-6 - s\/(-12)). Let p(x) = -3*x**3 + 2*x**2 + 2*x + 1. What is p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)*x*x*x\/x**(-10))\/(x**1\/(x*x**(-14)*x*x)) assuming x is positive.\nAnswer: x**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2754)\/(-36))\/(42\/28)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053691566 rounded to 5 decimal places?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42334*j**2 - 84665*j**2 + 42333*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -2022, -132, -17 in descending order.\nAnswer: -2, -5, -17, -132, -2022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5 + sqrt(2057))*5)**2.\nAnswer: -2750*sqrt(17) + 52050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 5\/47 (c) -30 (d) 4 (e) 1\/241 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(539))**2 - (-3 + -1*sqrt(539)))*-3.\nAnswer: -1638 - 105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/60 + 566*g**2. Let x(s) be the second derivative of 13*s**4\/4 + 3*s. Calculate x(c(d)).\nAnswer: 39*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1524293938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l + 12. What is w(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1342 + 4254. Is b a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2567 is divided by 1276.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 392\/3*l - 16\/3*l**3 - 1715\/3 + 14*l**2 + 1\/3*l**4 = 0. Calculate l.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Let t = 26 - x. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112121302120 + 212?\nAnswer: 112121302332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*n - 18*n - 3070 - 13790. What are the prime factors of n?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 4*v = -18*a + 14, -a - 4*a - 82 + 117 = -25*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l - 641 = 163. Put -7, l, 2, 5 in ascending order.\nAnswer: l, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 9*u - 16. Let v be r(6). Suppose 5*q - 16 = -v. Let j be (2\/10*-2)\/(q\/65). Solve -1 = -2*t + j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 21 = -3*z, 9*s + 6*z = 5*s + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1052*q**3 + 4115*q**2 wrt q.\nAnswer: -6312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + 3*p**4 + 6*p**4 - 10*p**2 - 7*p**3)*((1 + 2 - 4)*(-2 + 1 + 3) + 1 - 3 + 1).\nAnswer: -27*p**4 + 21*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7 + -0.141985181.\nAnswer: -3.841985181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*q**3 + 5*c**3*q + 2*c**2*q**2 - c*q**3 wrt c.\nAnswer: -24*c*q**3 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26901 - -26899. Let j be -1 - (-2)\/6*5. Which is bigger: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -a957601?\nAnswer: -a957598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/136 + (-9)\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 - 624*t + 7344. What is u(12)?\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 4. Let m be d(-6). Differentiate -m - 2*h**4 - 18*h**4 - 1 + 3 with respect to h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13428133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 63*s - 2. Let o be q(1). Let i be 0*3\/12 - -2. Suppose -i*g + o = -91. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(((-9)\/(-135))\/(((-28)\/(-24))\/(-7))). Let d be (4\/2 - 3) + -23. Let z be 50\/12 - (-4)\/d. Solve -5*u + q + z*q = -15, y = -u + 5*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002899 rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2785*b**3 + 1374*b**3 + 897926 + 1409*b**3 - 897926.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 27 - 11 - -12 - 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:45 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*o + 32, 21 = m - 5*o. What is the remainder when 963 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let g(o) = 3098*o**2. Give f(g(h)).\nAnswer: -6196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 360, 1503, 3422, 6117, 9588, 13835?\n\"Answer: 388*n**2 - 21*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1 + ((-50)\/6)\/(-5)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 3*n**3 + 3*n**3 + (-3*n**2 + 2*n**2 + 0*n**2)*(5*n + n - 5*n) - 10*n**3 + 157 + 13*n**3 - 12*n**3 + 14*n**3.\nAnswer: 7*n**3 + 157","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 7 + 26 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1919405, -3838807, -5758205, -7677599, -9596989, -11516375?\nAnswer: -13435757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69590033?\nAnswer: 47, 113, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 2966.\nAnswer: 2965.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 0.7803, -4, -2, 0.2, -0.96?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243407?\nAnswer: 401, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 94 (c) -4\/3 (d) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62057, -61628, -61199, -60770?\n\"Answer: 429*i - 62486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (2\/7375)\/(9\/132735). Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*s - 2*a + 2, -2*a + 53 = 45 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2205 + -2202. Factor 0 - 9\/2*l**3 + j*l**2 + 0*l + 3\/2*l**4.\nAnswer: 3*l**2*(l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2. Give t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9341, -8992, -8643, -8294, -7945, -7596?\n\"Answer: 349*s - 9690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*q = -5502, -606*q + 20 = -611*q. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.67 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -51. What is the lowest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5765847 millilitres to litres.\nAnswer: 0.0005765847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*a*o*w**2 + a*o*w - 868069*a*o + 31647972*o*w**2 wrt a.\nAnswer: -11*o*w**2 + o*w - 868069*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 5, -1\/5, 3, -8, 10.7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 13 - 21)*(1 + 2 + 0)*(8*s + 5*s - 14*s).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-15)\/(-70)*1*(-31913)\/(-564).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -1037?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i - 92. Determine j(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65b1b + 116?\nAnswer: 65c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-10)\/(-2)) + 154\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.6 in -0.4, 0, -16, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h - 4. Let d be c(6). Let y be (-32)\/(-6)*(-27)\/(-6). Calculate the greatest common factor of d and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78198, 156435, 234818, 313419, 392310?\nAnswer: 471563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 71 + 15\/5*-1. Suppose -5*i = 3*s + 14, -4*s + 17 = -2*i + 1. Suppose -3*j + s*j + v = 0. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17609, -17520, -17431, -17342?\n\"Answer: 89*c - 17698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 - (33 + -39).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126003801.\nAnswer: 3, 7, 11, 19, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7735 - 185639\/24. Let c(j) be the second derivative of -b*j**4 + 0*j**2 - 1\/12*j**3 + 0 + 10*j. Let c(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 44548?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 = 2*k, u - 5*k - 1 = 17. What is the remainder when 6 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = -10. Let w be i\/5 + (-13)\/(-5). Suppose 27 - 37 = 5*t. Sort 2, w, t in decreasing order.\nAnswer: w, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/12 - w**4\/24 - 11*w**3\/2 + 7*w. Let f(a) be the second derivative of x(a). Calculate f(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 0.02836415?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242 - -251. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/42)\/(6\/(-21)). What is the biggest value in 3\/20, -2\/7, n?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002256 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + 3*a**2 + a - 2. Let t(y) = 16*y**3 + 14*y**2 + 4*y - 11. Let k(l) = -11*n(l) + 2*t(l). Determine k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47393051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33832049 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363176 and 313652?\nAnswer: 6900344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*g*o**2 - 395*a**3*g + 51*a**3*o**2 + 6*a**2 - 9815*a*g*o**2 + g*o wrt a?\nAnswer: -12*g*o**2 - 2370*g + 306*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2592.457 kilograms to tonnes.\nAnswer: 2.592457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, 87, 386, 795, 1308?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 113\/2)*6. Find the common denominator of c\/54 - (-2)\/6 and -79\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1\/6, -34.9, 4, 7, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:40 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-12)*(-222)\/(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.18911 + -0.18911. What is the nearest to -5 in t, -0.2, 19\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 - 86) + -130 - -64?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240593811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -105. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23690 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 9*c + 5. Suppose -20*v = -25*v - 95. Let h(y) = -y**2 - y + 32. Let o be h(6). Let m = o - v. Give k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (74 - 53)) + -31.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k**2\/3 - 9155*k\/3 - 4570 = 0 for k.\nAnswer: -914, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9*(-3)\/(-2). Let w be (-2 + (-22)\/(-12))*4. Which is the closest to w? (a) -1 (b) -2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 + 3*j + 1. Let i(l) = 2*l + 2. Let r be i(0). Suppose 2*s + r*s = 16. Is w(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -66, -68, -48, 0, 82?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0*n + 5 + 0*n + 0*n + n. Let d be z(-3). Suppose -d*p + p = -1. Which is smaller: -2\/11 or p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1967615 divided by -1.\nAnswer: 1967615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2. Let x be i(-1). Solve -x*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (600610\/(-20))\/17 + 5. Let l = 1724 + m. Let c = 8420 + -976735\/116. Calculate the common denominator of c and l.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.4 (c) -0.3 (d) -10 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31700 is divided by 2800?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.76 - 0.24. Suppose 4*j = j. Which is the nearest to j? (a) 0.3 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-576)\/28)\/(-72)*(-1995)\/(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 - 8*l**4 - 5*l**4)*(4 - 4 - 2*l) - 154*l**5 - 140*l**5 + 230*l**5.\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 - 11 = 0, -3*n + 12 = 4*m. Suppose r - 2 = -m*r. Solve 3 = 3*v - r*l - 3, 2*v = 2*l + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d - 18. Let a = -989 + 3987\/4. What is the common denominator of (-10)\/d*(-114)\/(-10) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) -2\/21 (b) 2\/21 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132))\/sqrt(12) + -1.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (110582\/(-2))\/((-22)\/(-242)*-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*t - 345, 4*t - 141 = -3*l - 417. Let v = t - -201. Let m = -75 + v. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/40 + r**5\/20 - 2*r**2 + 31*r. Solve k(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40433 or -3\/1523?\nAnswer: -3\/1523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(20)\/sqrt(4) - sqrt(5))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vynn. Give prob of picking 2 n and 1 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 140*a + 13*a + (-a + 0 + 0)*(-4 + 1 + 2) - 3*a + 2*a - a.\nAnswer: 155*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 359 = 3*y - 356, -4*q + 4 = 2*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33\/4, 5, -0.05, -0.06, 2.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 82. Let o = -41 + v. Let s = o - 27.6. Do 1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqhz when four letters picked without replacement from {z: 1, q: 1, h: 1, o: 4, k: 4}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*i + 30, 117*i - 21 = -3*a + 119*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 899, 512, 2 in ascending order.\nAnswer: 2, 512, 899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 15 + 8\/17*n + 3\/17*n**2 - 2\/51*n**3. Find r such that z(r) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5830)\/88)\/(-5) + (-2)\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809.188g in micrograms?\nAnswer: 3809188000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118.1 - -118. Which is bigger: -29 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 607 + -610. Suppose 0*x - 32 = -4*x. Let p be 1*(x - 4 - 5). Sort p, 2, 1, u.\nAnswer: u, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, 172, 486, 926, 1492?\n\"Answer: 63*c**2 - c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*s**2 - 1 + 129*s**2 - 9*s**2 + 3 to the form f*s + a*s**2 + g and give a.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023562971.\nAnswer: 3, 2447, 46477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 6\/13 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.525 - 0.011. Let h = t - 0.014. Which is the nearest to -0.1? (a) 5 (b) -2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 0*b**2 + 14*b**3 - b**2 - 2 + 2*b**2 + 4 to the form u*b + k*b**3 + a*b**4 + v + m*b**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(65) + sqrt(65) + -1*sqrt(65) + sqrt(65))*1 + sqrt(65))\/sqrt(5))**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 3, d: 1, m: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1333323303 (base 4) to base 8\nAnswer: 1777363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*y + 3*y. Suppose i + 3*w = 3, -4*w - w - y = i. What is the smallest common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) 3 (c) 0.3 (d) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 4}. Give prob of picking 2 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*x + 8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 2.8. Let l = 25.6 - 23.54. Let r = l - 0.06. Which is the nearest to 1? (a) k (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**2 + 14*d + 3. Let y = 10 - 6. Calculate the smallest common multiple of y and p(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03792 rounded to four dps?\nAnswer: 0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69182*j**2 - 302*j + 24910096?\nAnswer: 138364*j - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - 274)\/1*(-3)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 78 + 3672 = -3*h, 5*h = 3*q + 5606. Let p be (-2)\/18 + 143\/q. Is 1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45399*-111.\nAnswer: -5039289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2375*w**5 - 84500*w**4 + 642415*w**3 + 1941302*w**2 + 1275204*w + 25992 = 0.\nAnswer: -6\/5, -2\/95, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3402)*1 + sqrt(3402) - sqrt(3402)) - sqrt(3402))\/(-6*1*sqrt(6) + sqrt(24)\/(sqrt(100) + sqrt(4)))*-3 + -4.\nAnswer: -162*sqrt(7)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*c - 150016, -j + 18*c - 19*c + 75014 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*c**2 - 1194454 - 1194455 + 2388909.\nAnswer: -123*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7 (b) 0.5 (c) 2 (d) -4 (e) 0.1813 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 4*z**2 - z - 4*z + 21*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 5*g. Let x be j(-3). What is the units digit of (-2)\/x*3 + 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 equal to 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389980 divided by -527.\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 q when three letters picked without replacement from {j: 1, e: 2, n: 1, c: 2, q: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 28356, -2 in ascending order.\nAnswer: -2, 1, 4, 28356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -113. Suppose v + 11 = -6*d. Let z = 19 + d. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36048 (b) 2\/11 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -777.73, 0.3, -55, -1\/6, -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 8 = -108*r + 109*r, 2*x - 2*r - 6 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 6. Let l(y) = -y - 8. Let c(k) = 3*l(k) - 2*t(k). Determine c(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + sqrt(891) + (sqrt(891) + -3 - sqrt(891)) + -2 + sqrt(891) + sqrt(891) + 5.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*p - 12 - 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(2\/59)*o**(5\/7))**(24\/7))**(15\/8) assuming o is positive.\nAnswer: o**(69660\/2891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:24 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -844550?\nAnswer: 1\/84455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a**5 + 2*a**4 - 21*a**2 - 2. Let f(t) = -11*t**5 - 3*t**4 + 20*t**2 + 3. Let y(m) = 2*f(m) + 3*p(m). Find the third derivative of y(s) wrt s.\nAnswer: 660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 68. Suppose 6*l + 38 = j*l. Let u = -12 - l. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:17 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:55 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1719063974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.084, -3.\nAnswer: -21, -3, 0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 13}. What is prob of sequence jvjv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 j when four letters picked without replacement from {t: 3, d: 3, m: 1, j: 7}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuvvvvvuvuuuvuvvuv?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i**2 - 3*i + 2. Let p be t(3). Suppose -10 = -p*n + n. What is the second derivative of -2*b - 8*b**5 - b + n*b**5 wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 4*n - n. Let h = n - -46. What is the second derivative of 2*m + 7*m**2 + m**h - 4*m + 6*m**2 wrt m?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 2 = 0. Let q be (2 - 7\/(-2))*y. Is (q - (-2 - -1)) + 1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -24, -2, 38, 102, 196, 326, 498?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 2*l - 3.\nAnswer: 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-8)*32\/(-80))\/((-7)\/(-70)). Let d = -0.2 - -0.24. What is the smallest value in 5, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -44\/7, -86, 1\/5 in ascending order.\nAnswer: -86, -44\/7, 1\/5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 3, s: 3, u: 1, q: 6}. Give prob of picking 1 c and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 52 = 2*n, -n - 104*r + 108*r = -1. Suppose 0 = -3*l + 5*l - 2*v - 52, 4 = 2*v. Let q = l - n. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 5 (b) 0.03018 (c) 0.1 (d) 19 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d**3 - d**2 + 5*d - 12*d**3 - 4*d**2. Let s(f) = 3*f**3 + f**2 + 2*f + 2. Let z be s(-1). Let k be -1 + 5\/(-2)*z. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*n + 2*d, -n = 3*d - 4 + 13. Let z = -8 - -15. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5326 (base 7) to base 13\nAnswer: b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.83 + 162661574.\nAnswer: 162661575.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 4*y - y in the form t*y + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.466 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320612421.\nAnswer: 3, 106870807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/7)*i)\/(i\/(i**24*i)))\/(i**16*i\/(i*i*i**5)))**(-13\/4) assuming i is positive.\nAnswer: i**(-689\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 52 = 4*i - 76, -5*i - 3*s = -138. Calculate the greatest common factor of 7530 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340.88 + -340.8800043875. Round u to 7 decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24106*a - 72302*a + 24094*a - 251*a**3 + 1126*a**3 + 24102*a.\nAnswer: 875*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 greater than 1164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527 and 122357?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddmhdehdmdrd. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i. Let q be t(1). Let m = 0.38 - 0.78. Sort q, m, 0.2 in increasing order.\nAnswer: m, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i**3 + 2*i**3)*(-23 + 20 + 2 - 30*i).\nAnswer: -60*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/5)*k*k**36\/k assuming k is positive.\nAnswer: k**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719140 (base 12) to base 4.\nAnswer: 12302022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 37. Let t = -53 - -58. Suppose -t*n - 57 = 53. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = -6. Let s(x) = 1 + 1 + 3*x**2 + 577*x**3 + 2*x - 578*x**3 + 2*x. Determine s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 11, h: 1, d: 6}. Give prob of sequence dtw.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 9:23 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607304683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -190 (c) 2 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 28 = -2*k + v, 0 = 4*k - v - 20. Solve 0*c - k = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 4, k: 1, i: 3, f: 2, n: 3}. What is prob of sequence xnk?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -427*t**3 + t - 1. Let r be p(-2). Suppose -y + 689 = w + w, 0 = -5*y - 2*w + r. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1612 and 7812?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178494080316 + 178494324291.650002. Let p = f - 243976. Let x = -0.35 - p. Round x to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/8 + (-7 - (-27022)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68.614604 - -69.003. Let l = p - 0.389. Round l to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 36 = -5*y, -1166*l + 1164*l = y - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - 187443*d**4 + 3561056*d**3 = 0.\nAnswer: 0, 19, 187424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/10*8\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.77 and 0.2.\nAnswer: -0.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 17*k = 1338. Let a = 221 + k. Let v = a + 421. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-20)*(-45)\/(86625\/(-100)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 + 30*z**4 - 102*z**3 + 108*z**2 + 81*z - 162 = 0. What is z?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**3 - 388*f**2 - 7574*f - 2132 = 0.\nAnswer: -13, -2\/7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 2579 + 2507 = 0. Solve -u*i - 17*a = -18*a + 7, -4*i - 17 = a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7401301 divided by -10711?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 + 628\/3. Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + w**2 + 0 + 7*w + 7 - 9. Let o be y(-7). What is the greatest common factor of 234 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-165)\/(-66)*(-4)\/55).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-25 - -10) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 53 + 569. Find c such that 10*c**4 - 5*c**4 + 170*c**3 + 1612*c**2 - p*c**2 - 170*c - 1445 = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22329, 44641, 66951, 89259?\n\"Answer: -z**2 + 22315*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 329223289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(-19 - d + 19) + (-3 + 6 - 2)*(3*d - 3*d - d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 3)*(-1 - 1)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(462\/324) - 5.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-99) - (-7)\/18. Let p be 4\/(-6) - 10\/75. Let m = -0.1 - 0. What is the closest to m in w, p, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let m(d) be the second derivative of 5\/42*d**7 + 0*d**5 + 0 + k*d + d**3 + 0*d**4 + 0*d**2 + 0*d**6. What is the second derivative of m(u) wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(56\/12)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -4 - (-564)\/285. Let l = h - -299\/665. Which is the closest to 1\/2? (a) 0.2 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 - 1875*k**4 + 128 + 1695*k**4 + (-5 + 1 + 2)*(k**4 + 0*k**4 - 3*k**4) - 2*k**3 + 2*k**3 + k**4 to i + y*k**2 + h*k + q*k**4 + w*k**3 and give q.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j = -8*j + 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 10 = -5*g, 77088*g = 77085*g + 2*t + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344478011 to the power of 1\/2, to the nearest integer?\nAnswer: 18560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 212429 or 4248559\/20?\nAnswer: 212429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0 + 7\/10*l**5 + 8\/3*l**4 + 11\/3*l**3 - 4*l + 2*l**2. Find b such that v(b) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuucdubuyyjybyu. What is prob of sequence uy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 11:06 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*o - 15*o**4 + 5*o**4 - 70*o wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-452)\/(-6))\/(13\/39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let l be y(0). Let h be (-2)\/(-4)*l*4. Let v(b) = 1 - 2*b**2 + 0*b**2 - 3*b**2 + 3*b**2. Calculate v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 5418628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -22*x - 48. Let f(q) = -q. Calculate d(f(n)).\nAnswer: 22*n - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 338418419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16758 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561955 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/36 and -23\/210.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4504524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/594 - ((-15)\/(-2))\/(4\/(-12)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:48 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = -5*l - 20, -5*q = 4*l + 10. Let b(a) be the first derivative of 0*a**3 - 1\/4*a**4 + 1\/2*a**q - 1\/2*a + 1\/10*a**5 - 6. Factor b(d).\nAnswer: (d - 1)**3*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 - 759 - 569)*(b - b + b)*(2*b**2 - 5 + 5).\nAnswer: -2944*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 6*n + 26. Let m be s(4). Let d be (2 - 2) + 7\/(42\/m). Which is the third smallest value? (a) d (b) -0.03 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167842*a - 167129*a = -3565 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-516)\/(-10) + -18)*(-5)\/2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbmbbbbbbbbmmbbmbm?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 - 7. Let x(a) = a**2 + 5*a - 10. Let f be x(-7). Let g be f\/22 + (-14)\/77. Give q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 255*k**3 + 252*k**3 + 2*k**4 - 11 to the form s*k**4 + d*k + t*k**3 + i + v*k**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 0)*(2*i - i + 14*i).\nAnswer: 105*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 342, 471, 600?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -3064042156?\nAnswer: -3064042164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2. Let n(o) be the third derivative of -7*o**5\/60 - o**4\/8 - 19*o**2. Calculate n(s) - 6*q(s).\nAnswer: -s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*-32 + -13 + 6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 1, m: 3, e: 4, u: 4}. What is prob of picking 1 m, 1 c, and 1 n?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-132.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7062)\/2889*8\/16.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 1\/3 (c) 635 (d) 0 (e) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8644421\/5 + -1728884. Factor 9\/5*o + 8\/5 + v*o**2.\nAnswer: (o + 1)*(o + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 - (-3 - 10\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -200201101221?\nAnswer: 200201102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3551.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or -81?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 1, h: 2, q: 1}. Give prob of sequence hqr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4401*f**2 - 2*f + 2. Suppose 0*z - 12 = 6*z. Let y be x(z). Suppose 0 = 2*b + 4*b - y. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37296 and 31577280.\nAnswer: 94731840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 5*y**2 - 5*y. Let x(c) = -c**3 + 3*c**2 + 3*c. Let i = -6 + 4. Let s be (4\/(-6))\/(i\/15). Give s*x(z) + 3*g(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 3\/7, 2, 223.945?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 16) to base 11\nAnswer: 46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/116646 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 3*z - 3*z + (7 - 4 - 2)*(z + 3*z - 3*z) + 3*z - 5 + 5 to t*z + o and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 5*g + 8. Let w(c) = -5*c + 40. Let r be w(9). Let j be 2 + 3 + (-5)\/r. Calculate q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Put w, -5, 1\/4 in increasing order.\nAnswer: -5, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153 or 8986\/59?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4 - 11, -5*s - 15 = 5*f. Let 3\/8 - 3\/8*j**f + 3\/8*j**3 - 3\/8*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/9 + 4*g**3\/3 + 2*g**2\/3 - 40*g\/9 + 8\/3 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422949000 to the nearest 1000000.\nAnswer: 1423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*f**2*h**3 - f**2*h + 2*f*h**3 + 2*f*h - 2*h**4 + 418*h wrt h.\nAnswer: -252*f**2*h + 12*f*h - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4467 = 113*c - 2207 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 + 8 = 4*t, 2*m = 4*t - 16. Factor -7*k + 10*k**2 + k + m*k - 2*k**2.\nAnswer: 2*k*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -v + 2*v. Let s be 16\/v*30\/(-4). Suppose 4*y = -3*u + 26, 2*y + s*u + 0 = 6. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 20 + 3 + 0 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let x be (-24)\/15 - (0 + -2). Find a, given that x*a**z + 0 + 4\/5*a = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 - 3*y + 8. Let o be d(0). Let h(u) = u - o + 6 - 4. Suppose 4*r - 15 = r. Give h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53185 is divided by 7597.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490005161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*462\/28. Let a = -8 - d. List the prime factors of a\/4*324\/(2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*w + 14. Suppose -2*x + 27 = 3*a, 2*a + 139 - 43 = 5*x. Let g be (9\/x)\/(1\/2). Solve -d + g = w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-35)*10934\/(-142)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -3*y + 4*g - 3*g - 89, -5*g = 4*y - 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2875*k - 7. Let m(f) = -2851*f - 9. Calculate 5*h(x) - 4*m(x).\nAnswer: -2971*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425 + 272 + 2*x**2 - 17*x**2 - 10*x**2.\nAnswer: -25*x**2 - 1153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -17*((-16)\/4 + -1). Suppose 444 = 5*f - 126. Let s = f + k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 327279130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 2, s: 4}. What is prob of picking 1 s and 1 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 1 - 1 + 4*h - 4*h + h + (-1 + 1 - 2)*(0*h - h + 2*h) - 4*h - 4*h + h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 92, 108, 140, 194?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1646.6 + 1605.6. Which is the nearest to z? (a) 0.4 (b) -26 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18299*-0.6.\nAnswer: 10979.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -264194569\/5 greater than -52838915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 - 29 + 12 = 12*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 16. Sort q, 1, 0, -3 in decreasing order.\nAnswer: q, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/17)\/((-17)\/(-17)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 29 = f, -a + 3*a - 35 = -5*f. Let v(b) = -b + f*b - 7*b. Let o(w) = 6*w**2. What is o(v(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**(-2\/5)*l))\/l)\/l**(-12)*(((l*(l*l\/l**(1\/6))\/l*l*l)\/l)\/l*l)\/(((l*l**(5\/6))\/l)\/l))**(-47) assuming l is positive.\nAnswer: l**(-2726\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1344 and 9728880.\nAnswer: 38915520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**2\/2 - 1. Let p(x) = -25*x - 5. Let y(n) = -11*n - 2. Let v(i) = 2*p(i) - 5*y(i). What is z(v(c))?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 282819 and 282818 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5960 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203*x - 1 - 1850*x**2 + 3699*x**2 - 1847*x**2 to the form m + z*x**2 + k*x and give k.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -102. Let d = 1 + 6. Is y at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205037, -820236, -1845593, -3281108, -5126781, -7382612?\n\"Answer: -205079*y**2 + 38*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76 and -8?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 3. Let b be m(0). Let h = 9 - -2. Suppose h = b*r - 2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300398 and 7960547.\nAnswer: 15921094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1171 + -9279\/8. What is the common denominator of (-5)\/4*(-372)\/20 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 + 2*u**2 - 3*u - 3. Let x(t) = 5*t**3 - 3*t**2 + 4*t + 3. Let s(o) = 5*o + 47. Let f be s(-10). Let d(n) = f*x(n) - 4*m(n). Determine d(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-81 - -2 - (32 + -46))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8 - (-35 - (-93 - -24))) + -3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4368088653.0106 + 4367319605. Let s = d - -769165. Let j = s + -117. Round j to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 147*k**2 - 77 + 77.\nAnswer: 4*k**3 + 147*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59219249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93\/5 in -3, -1\/2, 24, 1\/3, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - u - 13, -4*u + 3 - 23 = 0. Let f = -1 + -3. Sort -2, f, k in ascending order.\nAnswer: f, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 + 20 = 2*u, -3*u = 2*z - 41. Let n(w) = -w**3 + 15*w**2 - 8*w + 37. Let o be n(14). Calculate the highest common divisor of o and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -739*4\/(-10)*5. Let y = q + -765. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:46 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 22*r - 19. Is l(13) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + ((5*sqrt(1300)*2)**2 + -3)*-1)*-4.\nAnswer: 519993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 3 + 0 + -2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838750.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = -5. Suppose -v*t - 28 = -6*t. What is the remainder when 20 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(500) - (sqrt(500) + (sqrt(500) + -3*sqrt(500)*-3 - sqrt(500)))).\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4 + (2 + 0 - 1)*(1 - 3 - 1))*(p - p - 2*p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 - 39*w - 47*w + 86*w + 10*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/2)*o)\/o)**(-5\/17) assuming o is positive.\nAnswer: o**(-15\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 4. Let y be v(0). Suppose 2*c = -0*c. Suppose -4*g + c*g - 20 = 0. Sort y, 0, g in increasing order.\nAnswer: g, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115183858 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793245508?\nAnswer: 2, 11, 47, 34871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 1892 = -1895 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1885.913 centuries?\nAnswer: 188591.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o - 57*o**5 - 57*o**5 + 31*o**2 + o**2 - 159*o**5 wrt o.\nAnswer: -16380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8307270, 8307269, 8307268, 8307267, 8307266, 8307265?\n\"Answer: -s + 8307271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (-2 - -4) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21*d = -11367, -3*d = 5*z + 2*d - 28275. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -622635947*z**5 - 6378661*z**2 - 2*z - 2 wrt z?\nAnswer: -37358156820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/4 - 291*q**4\/4 - 3585*q**3\/2 - 1014*q**2 + 16704*q - 13824 = 0. Calculate q.\nAnswer: -48, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/337 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.89 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*2*16\/80.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -58. What is the closest to r in -3\/2, -1, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 244865219.3\nAnswer: -244865215.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 36*v**2. Let y(b) = 14*b + 4. Give y(z(q)).\nAnswer: 504*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35954*q**3\/21 + 3424*q**2 - 11982*q\/7 - 4\/21.\nAnswer: -2*(q - 1)**2*(17977*q + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -110. Sort 424, g, 2.\nAnswer: g, 2, 424","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*i + 3*r - 452549, 4*i - 362037 = -r. Suppose 4*h + 2*a = 50256, 5*h + 27692 = -a + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 14) in base 16?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2732 and -97\/4.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = i. Let y(v) = -4*v**3 + 4*v**2 - 5*v. Let c be y(1). Put c, -2, i in decreasing order.\nAnswer: i, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/5)\/3*770\/(-28). Let p(g) = 28*g**2 + 11. Let j(w) = -5*w**2 - 2. Let t(v) = x*j(v) - 4*p(v). Let n(q) = -q**2. What is t(n(c))?\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and 49\/230.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 55 + -1)\/(-6) and 55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:06 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5410251 to the nearest integer?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-1 + 1\/((-708)\/1738016). Let g = 832547369\/338660 + q. Let a = g - -5\/492. Calculate the common denominator of 4\/3 and a.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from qpipvppqiqqvqvq.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128.3 + 128. Which is the third smallest value? (a) j (b) 0.29 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:30 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/6 + 3 - (9485\/6)\/(-7). What is the highest common divisor of 1800 and d?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6673\/4 - -1679. Let j = -134713 - -3367769\/25. What is the common denominator of j and p?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13735\/1122 + 14\/187. Let l = 16655 - 299935\/18. Find the common denominator of l and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 14135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*u + 2*w + 15, -5*u + 4*w - 3 = 0. Let h(d) = -d**2 + 9*d - 12. Let x be h(8). Let z be (-20)\/8 + (-2)\/x. Is z != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -10)*(-44)\/(-12). What is the highest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36179 is divided by 11778.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 1, 14, -5, -3, -4 in ascending order.\nAnswer: -5, -4, -3, 1, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))\/(p\/(p**0\/p))*p**(-3)*p*p**(4\/3) assuming p is positive.\nAnswer: p**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 38 + 14. Solve w = 3*x - 9, -4*x = -2*w - 4 - q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h**5 + 5*h**4*o - 2*h**2*o - 2*h*o + 78*o wrt h?\nAnswer: 720*h**2 + 120*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - a + 4*a - 3*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -19, -6828.7, 1\/6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 637 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(14\/(-308))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789399?\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -141, -127, -111, -93, -73, -51?\n\"Answer: z**2 + 11*z - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3. Let t(i) = i**3 - 3*i**2 + 6*i - 5. Let r(p) = -t(p) - 2*w(p). Let a(s) be the first derivative of r(s). List the prime factors of a(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*b - 9099 = -3*b, 0 = -g + 5*b + 3022. Suppose -14*l - 27 + g = 0. What is the remainder when l is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 9*t**2 + 17*t + 30. Let c be h(-6). Solve 12*j + c = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*m - m - 6, 0 = -2*m - a - 5. Let z be 14*5\/40 + 1*m. Factor 3\/2*h**2 - 3\/4*h - 3\/2 + z*h**3.\nAnswer: 3*(h - 1)*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*c**3*r**2 + 170*b*c**2*r**2 - 2*b*c**2 - 2*b - 2597*c**3*r**2 wrt c.\nAnswer: 12*b*r**2 - 15582*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6654 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-14))\/(15\/12). Put 1, -4\/3, t in descending order.\nAnswer: 1, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) -3\/143 (c) -2 (d) 4 (e) -0.5 (f) -0.1 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttdtcmtdddmzff. What is prob of picking 1 d, 1 c, 1 m, and 1 t?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:13 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 7 + -15 + 1 - 6) + -20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 2*q**2 + 10028*q - 83.\nAnswer: 2*q**2 + 10028*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1174.\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 26*s**2 + s - 18. Determine j(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.2077? (a) 9 (b) 10.9 (c) -0.2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53465, 53472, 53479, 53486, 53493, 53500?\n\"Answer: 7*m + 53458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 54\/(-4))*-2. Suppose 76 = 5*u - p. List the prime factors of 66\/14 + 6\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878 - 366 + 560 = -268*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/19 - 496\/19)\/2. Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Let n = -8 + 4.2. Let u = 1.2 - n. Sort u, a, -0.5 in increasing order.\nAnswer: -0.5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 26. Let m be i(-8). Is 12 a factor of 8*13 - (-1 + m)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75326 + -37?\nAnswer: 752de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/2 - 18*y**4 - 78*y**3 - 144*y**2 - 96*y = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-1)\/(1 + 0). Let l(p) = 1 - 3 + s - p. Suppose -d + 4*y - 6 + 3 = 0, -5*d + 4*y = -17. Give l(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 16. Let c be 60\/630 + (-332)\/(-42). Let q be -15 - -8 - -3*c\/(-6). Calculate g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -m + 3*g, -34*g + 9 = -m - 33*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011 (base 2) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7019*a - 9329. What is the thousands digit of b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -5\/6*t**3 - 1\/6*t**4 + 0*t + 17*t**2 + 0. Differentiate i(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1595436869.408 and -0.17?\nAnswer: 1595436869.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -3. Let v(g) = -g**3 - 7*g**2 - 2*g - 5. Let i be v(d). Let m = 27 - 18. What is the highest common factor of i and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 9 - (-4 - (-19 + 6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 464227196 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 6309.\nAnswer: 31545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, -14, 1?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -4)\/((-21 + 23)\/18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 412309\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2374*a + 58151 + 32061 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242 or -228?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 - (-9 - (-43 - -33))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 33*m + 23. Let w be j(17). Solve -3*d - 10 = -t, -4*d + 5*t = -0*d + w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106.6 * -0.01263.\nAnswer: -1.346358","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s. Solve -3*o + 5*x - 4 = 0, -o + 0*x + 2*x - 1 = s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20874 rounded to three decimal places?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = -8. Let v = b - -6. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 834 - 836. What is the third biggest value in -4, z, 1, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313 - 949 + 314 + 441*h + 322 to the form g*h + t and give g.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11854891549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -617 - 8?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {o: 4, r: 3, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let c(o) be the third derivative of o**4\/8 - 22*o**2. What is q(c(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -d - 5*g, 1 = -12*g + 11*g. Calculate the highest common factor of d and 9240.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -358, -715, -1072?\n\"Answer: -357*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229 - -229. Solve 3*r = q + 5*r - 2, -2*r + 6 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-136)\/(-20) - 1\/(-5). Let l = 35 - f. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 3*l + 0*l)*(3 + 4 - 33) as k*l + z and give k.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136472, -272944, -409420, -545900, -682384, -818872?\nAnswer: -955364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -30. Let z(a) be the second derivative of -a**4\/12 + 7*a**3\/6 - 4*a**2 + 8*a. Let d be z(h). Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3427572 and 3972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**8*w))\/w)**(-40)\/(w*w**(-1\/4)*w*w**(-2\/15)*w*w*w) assuming w is positive.\nAnswer: w**(21323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/(-4) - (-1 + -38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -14 + 9 - 4 - (-19 - -20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 + 339. Suppose -15 = 3*z, n*x = 4*z + 13862 + 25522. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 0.2 (c) -1 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**4\/12 - 4*q**2. Let h(s) = -2*s - 3*s**2 + 2*s + 5*s**2. What is h(m(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (-5 - 80) - -36.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k + 18577 = -30*k. Suppose 0 = 21*x - 17578 + k. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27\/4*g**3 - 3\/4*g**2 + 3\/4*g**4 + 0 - 27\/4*g = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*f - 216 - 2\/3*f**2.\nAnswer: -2*(f - 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 29. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/120 + 7*d**5\/60 + 5*d**4\/24 - d**3\/3 - 11*d**2. Let b be u(-6). Put 3, 5, b, -4 in ascending order.\nAnswer: -4, 3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 552, -5, 7 in descending order.\nAnswer: 552, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10980 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 402*s + 1228. Calculate u(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1379 + 505 = 4*k. Let t = k + -257. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -42 + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75720 is divided by 233.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -5*w + 407. Let c(r) = -3*r + 28. Let n be c(0). Let i be (n\/3)\/(6\/(-27)*-3). What is the highest common divisor of i and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**2 - 5*m**2)*(-9 + 22*m + 9 + (-5 + 0 + 3)*(m - m + m)).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + 5*s)*(-1 + 4 - 1) as q + x*s and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*w + 24, -14 = -w + 5*a + 4. Let u(m) = 11*m + 79. Let k be u(-7). Solve 4*o = w*h - 6, 7*o - 2 = -h + k*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 214.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -96, -146, -196, -246?\n\"Answer: -50*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 - -206. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17683.\nAnswer: 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + 2 - 2)*(3 - 2 + 0) - 11*k + 2*k - 4*k + (2 + 0 + 0)*(4*k - 2*k - k) - 3*k + 7*k - 3*k + 0 - k + 0)*(3 + 0 - 2).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 878\/20 - (658\/140)\/(-47). Solve 10*c + 74 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 + -279. Is (-7 - m)*(-6308)\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -36. Suppose 4*t - 56 = -h*k, 0*t + 5*k = 5*t - 80. Let g(v) = -v**2 + 9*v + 10. Let n be g(10). Solve 5*j = -n*j - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**8\/1680 + a**4\/12 + a**3\/3 - 5. Let f(h) be the third derivative of w(h). Differentiate f(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*d + 2*d - 2*d - d + (-1 + d + 1)*(3 - 6 + 2) - 2*d - 1 + 1 - 3 + 3 - d + 2*d - 1 + 1 + d + 0*d - 4*d - 2*d - 4*d - 5*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**8\/13440 + v**6\/1440 - v**4\/3 - 2*v. Let h(g) be the third derivative of t(g). Find u such that h(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25\/8 - 291\/88. Suppose -3*o + 0 = 9. Which is the nearest to 0.3? (a) t (b) -1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 6, 5797, 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192187\/3016 + -828\/13. Calculate the common denominator of d and -14\/261.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 5776815\nAnswer: -2\/5776815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by -96\nAnswer: -187\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*k - 29 - 130 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6379, -97, 1.\nAnswer: -6379, -97, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -67*z + 105 - 45. Solve z = -a + 9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -140. Let d be (-20)\/(-8 - z) + 317. What is the smallest common multiple of 18 and (-9)\/((-189)\/d) + 4\/(-14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 11, 3\/5, 5, -187\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 13*h**2 + 162*h + 559. What is y(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 416\/(-240) - (-4 - 40\/(-15)). Let p = 0.9 + 4.1. Let v = -4 + p. Which is the smallest value? (a) r (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4555568663 to 2 dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10692 and 88429.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.25 * 715.6.\nAnswer: 1610.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 4 - 34 + 26.\nAnswer: x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4501, -35898, -121087, -286960, -560409, -968326, -1537603, -2295132?\n\"Answer: -4482*c**3 - 4*c**2 - 11*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1547*o + 1552*o - 4647*o + 1549*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1840, -7258, -16290, -28936, -45196, -65070, -88558?\nAnswer: -115660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:28 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*a - 21 + 21 - 2 + 2 - 2*a + 3*a - a - 3*a + (-3 - 1 + 2)*(-5*a + 5*a - 2*a) + 41*a - 192 + 192 - 4 + 4 - a.\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 220*l**3 + 50*l**2 + 50*l - 50. Let p(r) = -13*r**3 - 3*r**2 - 3*r + 3. Give 6*m(o) + 100*p(o).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 2, t: 7}. Give prob of sequence tt.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 0*b - 19*b as h*b + t and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 4*c - 10. What is the tens digit of d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 20 = 3*t. What is the smallest common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (7 - 20 - -4)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 72. Let c(f) = 19 - 19 + f + 45. Let k be c(-21). Calculate the highest common divisor of k and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-41.1.\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + -5 + (3 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315095 - 300263 = -1854*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216.378 - 186.35. Let b = 0.74 + 29.26. Let y = b - p. Round y to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341.8 - -45.2. Let o = -388.71 + t. Let q = o - -4.4. What is q rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -249. Let w = b + -105. Is -51 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:31 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/29925*(-38)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4540560 less than -0.6?\nAnswer: -4540560.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 25463, 2\/15, 3, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4206 + -4189. What is the remainder when 457 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331010 (base 4) to base 9\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t**2 - 43 + 4\/3*t**3 + 0*t - 1\/5*t**5 + 1\/6*t**6 - t**4. Determine r so that h(r) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19297 + 19275.851. What is a rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7\/13 (b) 2\/7 (c) -0.1 (d) -1 (e) 0.5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -20. Let d(p) = -p**3 - 10*p**2 + 2*p + 16. Let g be d(l). Let v(n) = -3*n - 7. What is v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 19*k - 17. Let b(h) = -h. Let w(i) = 2*b(i) - j(i). Let f(g) = -10*g + 8. Let a(d) = 13*f(d) - 6*w(d). What is the derivative of a(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -13. Let d(n) be the second derivative of n**5\/20 - n**4\/3 + 5*n**3\/6 - 7*n**2\/2 + 363*n. Let m(c) = -c**3 + 3*c**2 - 4*c + 6. Give x*m(u) - 4*d(u).\nAnswer: u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millisecond in microseconds?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 = -5*n, -3*n - 2 = k + 6. Suppose -122 = -k*p - 70. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 99. Solve l*a + 1 = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i + 1. Let s be y(-3). Let t = -77 - -76.8. What is the smallest value in s, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3954564 and -3954563 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.297 - 0.235. Let h = q - -0.138. Which is the nearest to 2\/5? (a) h (b) 0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000636124774 rounded to five dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 34 (b) -2 (c) -7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**2. Let f(r) be the first derivative of 13*r**3\/3 + 8*r - 83. Let d(w) = -4*w**2 - 3. Let l(v) = -8*d(v) - 3*f(v). Calculate s(l(z)).\nAnswer: -343*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10121010202?\nAnswer: -10121010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407 - -407.00293. Round i to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 126.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/13 at least as big as -3376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (-1)\/7 - 318\/(-21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592086 and 48.\nAnswer: 4736688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55\/35 - (-3)\/7. Let f(n) = 4*n**2 - 3*n - 2. Let d(v) be the second derivative of v**4\/12 - v**3\/6 - 4*v. Calculate b*d(y) - f(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 take away -0.23?\nAnswer: -404.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 46. Let l(v) = v**2 + 8*v - 3. Let d be l(-9). Let c be 6*(1 - (d - 3)). Is y bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 8*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y + y - 2*y)*(-8 + 20*y - 4*y - 10*y)*(17 - 12 + 4) to the form g*y**2 + c + z*y and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 9, -9, -45, -105?\n\"Answer: -c**3 + c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/60 - q**4\/12 + 11*q**3\/6 + q**2. Suppose 2*p = 7*p. Let n be c(p). Solve 0 = -3*x - n + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 233 + 3698 = 0. What is the common denominator of 89\/40 and 2\/(-7) + 1\/(196\/a)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.197601 kilograms?\nAnswer: 6197601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z + 23*z - z**3)*(-179*z + 26 + 141*z - 25).\nAnswer: 38*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3049711, -6099428, -9149145?\nAnswer: -12198862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 2*g - 4, g = 4*n + 7. Let d(j) = 4*j**2 + j + 3. Let x(l) = 5*l**2 + 2. Determine n*x(f) + 2*d(f).\nAnswer: -7*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z + 29*z - 22*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104069841 to the power of 1\/2, to the nearest integer?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25660403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:28 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-18)*(-13)\/(-26).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/3 + h**4\/3 - 5*h**3\/3 + 2*h**2\/3 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -10. Suppose 4*w - j*w - 2 = 0. Suppose a + w = c - 5, 5*c - 2*a = 27. What is the smallest value in -4, c, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**6 - 2*t**2 - 8. What is the second derivative of g(o) wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) 3 (b) -0.2 (c) -126 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.417242 grams in kilograms?\nAnswer: 0.005417242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**1*u)\/u*u*u)\/u*u*u*u**(1\/10))\/(u*u**(-13)*u*u)**(-44) assuming u is positive.\nAnswer: u**(-4349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -65) + 306 + -337.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 + u**2)*(-u + u**3 + u) - 1278*u**5 - 86344 + 86344 - 5*u**5 - 3*u**5 + 5*u**5.\nAnswer: -1280*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -124*r + 1 - 3 - 1 - 1. Let n be w(-5). What is the remainder when n\/21 - (-1)\/(-3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 23*u + 163. Let n be y(15). Suppose -n*s + 36*s = -21. Let -1\/8 + 1\/2*w + 1\/2*w**s - 3\/4*w**2 - 1\/8*w**4 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v + 9. Let y be r(1). Let j be (y - (-141)\/21) + 34\/119. Solve u - 3 = w - j, w - 2*u - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4088*l - 4090*l + 4*l**3 - 1 - 6*l**2 + 23*l**2 in the form o*l**2 + j*l + q + z*l**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkpkrlo. Give prob of sequence pk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1110235 + -5?\nAnswer: 1110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 9131?\nAnswer: -9133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2*f**3\/3 + f**2\/2 - f. Let c = 97 - 96. Let a be i(c). Solve 5*h - 3*p = -18, -a*p - 1 = h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7956343457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/576 and 35\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8208 divided by 216\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**6\/30 - 27*d**5\/20 + d**4\/12 + 9*d**3\/2 - 37*d - 7. Factor p(k).\nAnswer: -k*(k - 1)*(k + 1)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 5*t + 29*t**3 - 8*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 259*d - 1590118. List the prime factors of d.\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**2 - 1 + 3*b**2 - 12*b**2 + 4*b**3)*((47*b + 31132 - 31132)*(1 - 1 + 1) + 1 + b - 1).\nAnswer: 192*b**4 - 96*b**3 - 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Suppose 5*f - 8 = -k*h, -14 = -4*h + 2. Let b be 2\/(4 + -2)*f. Solve -3*v + 3*a - 9 = b, -4*v - 3 = -5*a + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.7, 2\/7, 87, -6, 0.4, -2 in increasing order.\nAnswer: -6, -2, 2\/7, 0.4, 7.7, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvn when three letters picked without replacement from vdvznznonvvssvovvznv.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 + 172. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 15}. Give prob of picking 3 m.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -18, -4, -0.2, -2584, -49?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 3, s: 2, g: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -737\/531 + 95\/59. Let 8\/9 + v*d**3 - 2\/9*d**2 - 8\/9*d = 0. Calculate d.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 9*o = -6*o + 12, -f - 76*o = -70*o - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (-144 + 70 - -101)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -104, -400, -968, -1898, -3280, -5204, -7760?\nAnswer: -11038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 4. Suppose 0 = 2*m - j*q + 16, -q + 4 = -5*m. Let l be (7\/((-35)\/60))\/(-1 + m). Solve -l = -0*n - 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 1214a?\nAnswer: 12138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, s: 6}. What is prob of sequence sees?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100000001101?\nAnswer: -100000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 293*d - 1547 wrt d.\nAnswer: 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-109 - -93) + 1024\/20. Is 36 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1032199 and 1032121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/7 and 151\/1911126.\nAnswer: 1911126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -341 - -339. Is ((-4462)\/(-4) - 2)\/((-1)\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -11403?\nAnswer: -11344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-25))\/((-21)\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.1 - 39.13. Sort -0.01, l, -2 in ascending order.\nAnswer: -2, l, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 152 = -4*q, -4*c + 2*c + 84 = 4*q. What is the remainder when c is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161.6 + 162. Which is the smallest value? (a) 2 (b) 1 (c) -13 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = -2*d - 15, 3*d - 3*u = -18. Let f(s) = 4*s + 2. Let j be f(d). Let w = j + 14. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, -0.4, -3\/5 in increasing order.\nAnswer: -3\/5, -0.4, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f + 18. Determine r(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 63 = 14*y. Let f = y + 8. What is the remainder when f is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 39 - (2 + 1 + -1)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -1\/60*x**5 + 0 + 0*x**3 + 0*x**4 + 0*x - 4*x**2. Let i(o) = 7*o**2. Determine i(c(a)).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -558.6786 rounded to the nearest integer?\nAnswer: -559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.2 * -0.3.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*l - 99*l - 183*l)*(-2*l**2 + 0*l**2 + 6*l**2)*(-4 - 1 - l + 3).\nAnswer: 808*l**4 + 1616*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 452*p + 87684. Determine y(-194).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-65))\/((-4)\/8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.237 - 12688875\nAnswer: -12688875.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.210382067 + -0.026381569. Let h = i - 0.184. Round h to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422544616 divided by -3\nAnswer: 422544616\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 0*m)*(-m**2 + 3*m**2 - 3*m**2) - 2*m**2 - 8*m**3 + 4*m + 7*m**3 + 0*m**2.\nAnswer: m**3 - 2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f + 5*b - 19, -5*f - 5*b = 55. Let g be 34\/(-10) - f\/25. Let w(o) = -3*o - 3. Let j(n) = 4*n + 4. Let a(l) = 4*j(l) + 5*w(l). Determine a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58293 is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 2. Let f be (-64)\/6 - (-10)\/15. Let s = f + 39. What is the remainder when s is divided by m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(-5)\/((-90)\/9)*-24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -112*p + 656. Let d be a(6). Put -8, 2, d in ascending order.\nAnswer: d, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/30 + 1 + 20\/(-3120)*26.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 10*w**2 - 86*w + 427. What is m(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, w: 7, n: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/10 of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21067.\nAnswer: 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c)**(-3\/2) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -729, -906, -1139, -1434, -1797, -2234?\nAnswer: -2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.999964 + 17. What is h rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800849 is divided by 1457?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-1)\/((-6)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -15. Let b = 19 - n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by 4885\nAnswer: 57\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 3 + 3)*(-70*g + 120*g**2 - 150*g**2 + 2 + 12*g**2) in the form h + q*g**3 + w*g + d*g**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111010 (base 2) to base 11.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1085, 1086, 1087?\n\"Answer: o + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -136 + 4a822?\nAnswer: 4a6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 6, t: 9, q: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) -0.1 (d) -2815 (e) 0.2467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306731*-21.3.\nAnswer: -6533370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5509 and 171.9.\nAnswer: 94.69971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -k + 2, 2*k + r + 1949 = 1953 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/2 + 10913*z**4\/2 - 38959263*z**3\/2 + 42713531035*z**2\/2 + 4976078372846*z.\nAnswer: -z*(z - 3703)**3*(z + 196)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*u - 136*u - 6*u**2)*(-u - 2*u + u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -31, -3 in decreasing order.\nAnswer: -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*1)))\/sqrt(6))**2 + sqrt(13) + -1.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.8542626 rounded to 3 decimal places?\nAnswer: -201.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 1, v: 5, e: 1}. What is prob of picking 1 v and 1 c?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 205. Calculate the highest common factor of q and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-13 - -15 - 5*2). Solve -2*r - 4 = b*p - 6*p, -p = 5*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {d: 1, l: 1, z: 5, e: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 357bc - -4?\nAnswer: 357c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 47*k + 259. Let w be a(-5). What is the greatest common factor of w and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*sqrt(1216)*4.\nAnswer: -960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmnq when four letters picked without replacement from {m: 2, n: 3, q: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 47*o - 320. Calculate p(-53).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + -1)*1 - -1*(sqrt(33)\/sqrt(3) + 0)) + (-3 + (sqrt(1100)*1 + -4)*6)**2.\nAnswer: -3238*sqrt(11) + 40328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5136*i**2*q**2 + 4*i**2 + 8*i - 13*q wrt q.\nAnswer: 10272*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6348 + -45?\nAnswer: -6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16177.\nAnswer: 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**2 + 1. Let u be o(4). Let r = 286 + u. Suppose r = 4*m + 175. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 23. Suppose -4*o + 2*a = 44, 0 = o + 3*a + 2*a. What are the prime factors of s(o)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80)\/(sqrt(360)*2 + sqrt(360)).\nAnswer: sqrt(2)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*z + 20. Calculate the common denominator of -179\/30 and 134\/(-6)*z\/(-42).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3866 + -3861. Solve 5*m + 23 = -k, -6 = 2*m - t*k + 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 282*h**6 - 4*h**4 - 77*h**2. Let z(s) = -845*s**6 + 14*s**4 + 230*s**2. Let m(y) = 7*l(y) + 2*z(y). What is the third derivative of m(x) wrt x?\nAnswer: 34080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c. Let h(w) = 47*w**2. Calculate m(h(l)).\nAnswer: -705*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 0, 6, -4, -1, -41, 1 in decreasing order.\nAnswer: 165, 6, 1, 0, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b**3 - 4*b**2 + 4*b**2)*(-4*b**2 + 4*b**2 - b**2) + (-3*b**4 + 4*b**4 - 2*b**4)*(-2*b + b + 3*b).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/25953 and -67\/4431.\nAnswer: 181671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2706*i**2 - 2. Let x(z) = -5*z + 2. Let l(m) = m**2 - 15*m + 6. Let y(f) = -l(f) + 3*x(f). What is y(o(s))?\nAnswer: -7322436*s**4 + 10824*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -0.04288.\nAnswer: 0.95712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and (-546)\/(-216)*3 + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*b - 143*b + 215 = -82*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141 + 2?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 40*t - 984. Let z be d(27). Let y = 1 - -23. What is the greatest common divisor of z and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3492*y. Let h(v) = -5*v. Determine g(h(t)).\nAnswer: 17460*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*(sqrt(2430)*-1 - (sqrt(120)*-2)\/sqrt(4)))\/(-2*sqrt(66)\/(5*sqrt(176))))**2.\nAnswer: -1102500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1541*h**4*k**3 - 2*h**3*k**3 + h**2*k**3 + 24*k**3 wrt h?\nAnswer: -36984*h*k**3 - 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -38. Suppose 0 = -18*b + 15*b - p. Which is smaller: 8\/25 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9295*h**2 + 2*h**3 + 18326*h**2 - h**3 + 3*h**3 - 9031*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:17 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 67799536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 86\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382705?\nAnswer: 5, 76541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose q*m + 4*b - 21 = 42, 4*b = -4*m + 88. Suppose 1 = -i, -p + 5*i + m = -2. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2645.8\nAnswer: -2640.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9447.25 days?\nAnswer: 816242400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15. Solve o = -3*o + 8, g = -j + 5*o - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f - 8. Let d(b) = -8*b**3 - b**2 - 3*b - 2. Let z = -49 - -48. Let l be d(z). Let o be q(l). Solve -a + o = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -843996 - 8933\nAnswer: -852929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 r, and 1 g when four letters picked without replacement from {k: 2, r: 11, g: 3, q: 3}?\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/4959 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - -19. Find the first derivative of -74 - p - 51 - 928*w + 693*w wrt w.\nAnswer: -235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**3 - q**2 - q. Let x be u(-1). Let w be 23\/x + (-2)\/(-7). Put 1\/3, -0.3, w in descending order.\nAnswer: 1\/3, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-552)\/(-1104).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2233232133 (base 4) to base 16.\nAnswer: -afb9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 2 - 71 + 69 + 5*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 5, 1 in decreasing order.\nAnswer: 16, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453889379 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3953930.100123 - 3953936. Let z = -5.9 - m. What is z rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/60 - 4832*f**2. Let v(z) = -735*z. Calculate g(v(k)).\nAnswer: -540225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*8*45\/(-72)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 12. Let l be y(-7). Let z(v) be the second derivative of 0 + 1\/3*v**4 - 3*v + 1\/3*v**3 + 1\/21*v**7 - v**2 - 1\/5*v**l - 1\/15*v**6. Factor z(n).\nAnswer: 2*(n - 1)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (23 + -12) - (-7 + -2 + 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4955587*r - 45*r**4 - 2*r**2 - 3*r**3 - 4955587*r - 3*r**3 + 2*r**4 + 3*r**3 + (r - r + r**2)*(-1 + 1 + 2*r**2).\nAnswer: -41*r**4 - 3*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + a - 3. Let p be n(-3). Suppose 3*o + p = 5*b + o, 5*b + o = 9. Suppose -b = q - 5. Solve 25 = -5*w, -q*w = -2*x + 2*w + 27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 8*s**5\/5 - 17*s**2\/2 - 2. Find the second derivative of x(r) wrt r.\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 3434*w**5\/5 + 103*w**4\/12 + 17*w**2 - 5953*w. Find the third derivative of g(n) wrt n.\nAnswer: 82416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 4*o**2 - o - 3. Let x be l(-4). Suppose m - 2*b + b - x = 0, m + 5*b + 17 = 0. Is 4014\/21 - m\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41162 + 5?\nAnswer: -41155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-423) + (-200)\/18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20283 to the nearest one hundred.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - 9?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-476599490)\/(-195) - 162\/(-3159). What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 102 = 17. What is the second derivative of w*m + 10*m + 13*m**2 - 2*m - 31*m**2 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:26 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*r + 54551, 5*r + 5*j + 15061 = 83251. Let m = -22561 - r. Round m to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-49)*(-147)\/(-35)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*f = -3*f + 9, -2*f - 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42523 by -3271.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - 130. Suppose 63 = 78*n - p*n. Calculate the greatest common factor of n and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmmvvtvjvmvj. What is prob of sequence jj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from nisccncinciibii?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - 2*sqrt(112) - sqrt(112))*-5 + -1.\nAnswer: -1 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034006 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20*d**2 - 24*d + 93. Let x be n(-21). Let p = 344 + x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by 10131\nAnswer: -97\/10131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 635*i - 185*i - 221*i + 16469*i**3 - 229*i - 3*i**3 - 3*i**3 + 4*i**3 + (0 - 1 + 3)*(0 - 2*i**3 + 0) + i**3 - 3*i**2 + 3*i**2.\nAnswer: 16464*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 2. Let o(b) = 0*b + 5*b + b - 10*b - 2. Determine -4*o(t) + 5*s(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.17 + 31.17. Which is the closest to 0.3? (a) u (b) -5 (c) 6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 811a - 5b6?\nAnswer: 7724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -2, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941728505.\nAnswer: 5, 347, 542783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-686)\/(-1974) + 1. Which is the second biggest value? (a) z (b) 0 (c) -9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.7 - -45.7. Let u = k + -41.1. Let m = u - -4. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 4\/11 (c) -1\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 2327 - 1011 = 1008 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.24204 rounded to one dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 5 (c) 0.086 (d) -2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2450*z**6 - 53320*z**4 - 4*z**2 + 79293876*z wrt z?\nAnswer: 294000*z**3 - 1279680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eteteee. Give prob of sequence ette.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3440 = 33*s + 20*s + 113*s + 6*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66120623 (base 7) to base 16.\nAnswer: 5680d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(1331) + ((sqrt(1331) - sqrt(1331)*3) + sqrt(1331) - sqrt(1331)) + sqrt(1331)))**2 - (-1 + sqrt(704) + (sqrt(11) + -1)*3).\nAnswer: -11*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -0.2, 20436?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105.9855 - -106. Round f to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 3 + (sqrt(931) + -1 - sqrt(931)) + sqrt(931) + sqrt(931) - sqrt(931)) + sqrt(931) + (sqrt(931)*-2 + 3)**2 + -5 + (5*sqrt(2299)*6)**2.\nAnswer: -63*sqrt(19) + 2072830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1.3 (b) 1 (c) 1\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.02, -3, -202\/405?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 6*g + 65. Suppose 27*d - 182 = 7. Calculate i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78133 or -78409?\nAnswer: -78133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/((-5)\/5*-2). Suppose -10*i + 54 = -p*i. Let g be 1\/4 + i\/(-8). Calculate the highest common divisor of g and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 5*c**2 + 6. Let j be s(-4). Suppose u - 33 - j = 0. Suppose -3*n + 132 = -2*b, -2*b = -2*n - b + u. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.59 - -10.59. Which is the nearest to v? (a) 2 (b) -5 (c) -0.2 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 68, 135, 228, 347, 492, 663?\n\"Answer: 13*a**2 + 2*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395516.\nAnswer: 2, 3, 116293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 3a2?\nAnswer: -39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33180886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100011 (base 2) in base 16?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 33*o + 53 + 97 = 0. Let m(y) = -4*y**2 + 5*y + 5. Let l(g) = 3*g**2 - 5*g - 4. Let a(s) = 5*l(s) + 4*m(s). Give a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (19062\/706 - 65\/1)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + -8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6280384 and 9152.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/(2*sqrt(108) + sqrt(108)))\/(sqrt(270)\/sqrt(10)*6))**2*-3.\nAnswer: -1\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -9894\nAnswer: 2\/4947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - ((sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 1)))*3 + sqrt(2448)))*6 + 3)*-4)**2*1.\nAnswer: -145152*sqrt(17) + 12697488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1746*o**2 + 863*o**2 + 885*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46311*l = 46500*l + 5670 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + 4*sqrt(26)*-2)\/(sqrt(162) - (sqrt(162) - (sqrt(162) - 1*sqrt(162))) - sqrt(2)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 8651663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:05 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + 3 + 1 - -456?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ptttttptt.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3299688777 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7719702678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 71722152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:08 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.2 - -3.1. Let t = 0.1 + b. What is the nearest to 1 in t, -1\/8, -1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254 and 7581.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, m: 1, c: 1, h: 2, q: 1}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i + 19*i - 5*i - 199.\nAnswer: -3*i - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n + 0*n**3 - 3\/8*n**4 - 1\/20*n**5 - 3 - 9*n**2. Find o, given that f(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r + 81. What is l(-6)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 - 31.67. Let o = 110 + x. Let y = o - 78.0000071. What is y rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 87?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - ((sqrt(2) - (-4 + sqrt(2) + -1 + sqrt(2))**2) + sqrt(2))) + sqrt(18)*-5 + 1.\nAnswer: -36*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)\/1*1. Let o(m) = 5*m. Let s be o(x). Suppose 0 = s*z - 0*z - 45. Calculate the smallest common multiple of z and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7812 and 85974?\nAnswer: 15991164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + (-49)\/35. Let d be (-15 + 2\/(-1 - -2))*w. Suppose d*c = 14*c - 67. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 - -215. Suppose -4*h = h - p. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 34 = 4*x. Let w = 33 + x. Is 27 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkakkfkkkkk. Give prob of sequence fka.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d + 252\/13 - 2\/13*d**2.\nAnswer: -2*(d - 3)*(d + 42)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -132, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 9. Let h be q(-6). Let n(p) = 14*p - 13. Let w(j) = -5*j + 4. Let x(u) = h*n(u) - 8*w(u). Find the first derivative of x(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 135376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let k = t - 0.1. Sort -1, 3, k in descending order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42312 - -43?\nAnswer: -42214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.98016 and -344.\nAnswer: 681.17504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3) + (2 - -15). Let j = l - 18. Suppose -5*w + 2*m = -3267, 0 = -j*w - 2*m - 19 + 1337. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6731 + 6904 - 2494 - 1003)*(c + 2*c + c) in the form t + d*c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = m. Let g = m + -4. Suppose 3*n - 24 = 3*q, -g*n - 5*q - 10 = 3*n. Solve -18 = -3*x - 2*s, -6*x + n*x - 4*s + 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 9*m + 103488 = 0. Find the common denominator of 77\/6 and m\/(-7320) + 6\/(-15).\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 27a0378?\nAnswer: 27a0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086015 is divided by 217187?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiiiijifffiif. Give prob of picking 2 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 + 9 - (12 - (0 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-8 + 4 - (-18 + 10)) + (-2 - -6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d8a + 8d?\nAnswer: 11039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/220)\/((-4)\/22).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1875 divided by 5.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002022212 (base 3) to base 9.\nAnswer: -32285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3 + -2)*-1. Let m(y) be the third derivative of -1\/60*y**6 + 1\/30*y**5 + b*y - 1\/3*y**3 + 1\/12*y**4 + 0 - 2*y**2. Let m(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**2 - 18832*m - 12560.\nAnswer: 4*(m - 1570)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**3 + 4*m - 4*m)*(-2*m + 4*m + 0*m) - 2*m**3 + 2*m**3 + 2*m**4)*(-9*m + 2*m - 6*m + (3*m - 4*m - m)*(3 - 1 - 1))*(7 - 3 - 22).\nAnswer: 1620*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let h = z + 2. Let p = 1.4 - 1.8. Sort 4\/5, h, p in descending order.\nAnswer: h, 4\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16253411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:04 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 - 3 - 4 - -19. Let v(t) = 16*t - 26. Calculate v(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8691 rounded to one dp?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/10293789 and 65\/8397.\nAnswer: 92644101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4142070 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -23?\nAnswer: 26\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5\/2, -3, -2 in decreasing order.\nAnswer: 4, 0, -2, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 10*t - 6*t**3 + 11*t - 2*t**2 + t**2 + 2*t**3 + 10*t**3 to s + i*t + j*t**2 + o*t**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 1\/4, 6651, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/72)\/(1\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 8:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (-36)\/(-8). Suppose -l = r*l. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 5, 3, 1\/14, -528, 4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-13)*c*c\/((c*c**(-4\/11)\/c*c)\/c*c)*c*c\/((c\/c**(-1\/9)*c)\/c)*c\/(c**8*c) assuming c is positive.\nAnswer: c**(817\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 41*h**2 + 4*h - 18. What is the remainder when 303 is divided by g(2)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/8267 + 388819\/223209. Find the common denominator of -1 + 2 + (-296)\/354 and a.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 23*h**2 - 9*h + 12. Is j(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from sxxxzsxsxxzsr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207298\/41 + -5056. Put l, 0.3, -9 in increasing order.\nAnswer: -9, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106990973?\nAnswer: 2106990973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k + 0*k**5 + 0 + 6*k**2 + 0*k**3 - 3\/40*k**6 + 1\/24*k**4. What is the second derivative of h(a) wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - ((32 - 44) + -1 + 7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6120 a factor of 5472573310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52565\/26 + -2022. Let v = -4\/39 - n. Find the common denominator of v and (2\/(-95))\/(8\/710).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/((-1)\/(5 + 1)). What is the units digit of (0 - f\/2) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 39*j - 20*j - 8*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22377? (a) 2\/173 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18842 + -1.2567309809.\nAnswer: 18840.7432690191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 3. Let d be n(6). Let f = d + -11. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716169 is divided by 1482.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*p + 77962, -3*h - 144*p = -148*p - 46780. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.79, 3, -6\/7, 17, 2\/5 in descending order.\nAnswer: 17, 3, 0.79, 2\/5, -6\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 5*o - 3*o)*(1 - 1 + 2)*(-48 + 147 + 82) to y + t*o and give t.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138735 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-63)\/12)\/((-3)\/8). Let o be 3 + -4 - (-10)\/n. What is the closest to -1 in o, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + (2 - 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5048, 5036, 5024?\n\"Answer: -12*u + 5060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 = 5*v, i + i = -3*v - 2. Let m(f) = -f + 3. Let u(a) = -6*a + 13. Let h = 360 + -370. Let q(g) = h*m(g) + 2*u(g). Calculate q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57488580 divided by -51885\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)*a**(-3\/20)*(a**9)**(-4\/15))**(-4\/17) assuming a is positive.\nAnswer: a**(163\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 12*u - 27. Let m be t(-6). Let p be 6\/8 + m\/4. Let y(a) = -a - 14. Give y(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -503 + 500. What is the nearest to -7\/3 in -0.1, -1.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w + 2. Let s be q(-1). Let p be ((-4)\/(-8))\/(s\/8). Let j = 90 + -90.4. Sort -2, j, p in ascending order.\nAnswer: -2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9127472km in micrometers?\nAnswer: 912747200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 + v**3\/6 - 6*v. Let p be (9 + -1)*(-2)\/4. List the prime factors of z(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -12.6, 0.1, -2372?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c - m, 69 = 5*m + 59. Solve -3*a - 17 = 2*u, -u = -a - 0 - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 11. Let z = c + 14. Let g = 13 - z. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -52*k**3 + 22*k**2 + 12*k - 12. Suppose -2*j = p - 16, 85*j = 89*j - p - 14. Let u(w) = 21*w**3 - 9*w**2 - 5*w + 5. Determine j*q(i) + 12*u(i).\nAnswer: -8*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(54\/(-81))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7 + 754*i**2 + 4*i**3 - 336*i**2 - 7*i - 413*i**2. Let p(v) = -4*v**3 - 5*v**2 + 6*v + 6. Determine 6*b(y) + 7*p(y).\nAnswer: -4*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72)*-1)\/(sqrt(576)\/sqrt(3)))\/(3*(sqrt(200) - sqrt(8) - (sqrt(2) - -5*sqrt(6)\/sqrt(3)))).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((-1)\/(-12)). Let i = k + 5. Let m = 1 + -1. Which is the nearest to m? (a) i (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -607, -605, -603, -601?\n\"Answer: 2*o - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -3. Let d = 5 + p. List the prime factors of (12\/(-4))\/d + 7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from kvkkvkkkvk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3794 rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2 (c) -1\/3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 90, 138, 186, 234?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8 + 3*o**2 + 0*o**2 - 1 - 7*o - 2*o**2. Is y(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518477 is divided by 258578.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12565888.\nAnswer: 2, 127, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -m - 3*m. Let u = -16 - m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwtwwtwtw.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 355424851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h - 1\/12*h**4 + 1\/3*h**3 + 0 + 0*h**2. Find the second derivative of m(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 20 - (-6 + -14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 3\/2, 1\/5, 0.017 in decreasing order.\nAnswer: 17, 5, 3\/2, 1\/5, 0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.3, 840, 3, 5, -1\/3, -1 in descending order.\nAnswer: 840, 5, 3, 1\/5, -0.3, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 129 = 2*u - 231 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 7*j**2 + 4*j. Give r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-481815)\/(-136) - 4\/(-34). Let z = i - 3548. Calculate the common denominator of z and 83\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2110 + 7757 = -49109. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 693, 1402, 2109, 2814, 3517, 4218, 4917?\n\"Answer: -i**2 + 712*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23840807*p - 1599*p**3 + 23840807*p + 3654*p**3 + 2787*p**3.\nAnswer: 4842*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/5 + 308*n**3\/5 + 3249*n**2 + 31100*n + 49700 = 0. Calculate n.\nAnswer: -35, -10, -2, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1d1?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 65*f + 5. Let y be -2*(3 + 5\/(-2)). Let u be (-1)\/2*(-11 + y). Is x(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*x - 3 + 265*x**3 - 590*x**3 + 1328*x**3 wrt x.\nAnswer: 6018*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) 0.58 (c) 3\/10 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59a84 - -24a3?\nAnswer: 61477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 10. Let r(y) be the second derivative of -3*y**3\/2 + 647*y. What is r(n(t))?\nAnswer: 18*t - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d + 2. Let c be r(0). Suppose -5*x + 93 = -6*m + 7*m, -4*m + c*x = -306. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, j: 1, f: 6}. What is prob of picking 1 j and 3 f?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305 divided by 29?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6283.8919 to 0 decimal places.\nAnswer: -6284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 970403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65607593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5042 and 35?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 6*m**4 - 13 - 5*m**3 + 5*m**3 - 2*m**2 to the form u*m**3 + h*m**2 + a + l*m**4 + s*m and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**2. Suppose -3*w + 0*w = -9. Let c(p) = p**2 - w*p**2 + p**2. What is m(c(k))?\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2910 = -3*l, 3*l - 4478 = -5*p - 1538. Suppose 315 = 12*i - p. What is the remainder when i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 243508.8 grams?\nAnswer: 243508800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - m + 2. Let k = 52 + -50. Let b be r(k). What is the units digit of b\/(-180) - (-2464)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -67, -64, -61, -58?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**2 - 11*y + 9. Let x(k) = -4*k**2 + 5*k - 4. Give 3*j(m) + 7*x(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -79*a + 1. Let c = 30 - 31. Is z(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 7*f + 3. Let p(r) = -2*r**2 + 7*r - 2. Let m(t) = 2*o(t) + 3*p(t). Find the second derivative of m(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125720679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 1. Let n = -3 - -3. Suppose -y - 3*k + 3 = 0, n*y + 2*k + 6 = 2*y. Determine d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5784.319 litres?\nAnswer: 5784319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4349244 millilitres in litres?\nAnswer: 0.0004349244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-350)*-100*((-4)\/(-2))\/28?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -88 + (-1)\/(-5 - -4). Let p = g + 90. Solve 0 = -5*c - 0*c - p*o - 5, 3*o = 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 166122 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110961 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 19 + (15 - 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 + 2*m + 15. Calculate v(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 231 = 101. Let r = 53 - n. Let m = r - -53. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*x**4 + 190*x**2 - 190*x**2 + (-x - x + 5*x)*(-19*x**3 + 174*x - 174*x).\nAnswer: -38*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/(-190) + 21\/105. Which is the nearest to -1\/7? (a) -0.1 (b) j (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9653.066 to the nearest one hundred.\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 19*d - 8265. Suppose 4*a = -k + 1749, -3*k + 5*k = -4*a + 1754. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (sqrt(5445) - sqrt(5445)*1) + 6*((sqrt(5445) + 1 - sqrt(5445)) + sqrt(5445)))*-4*-2)**2.\nAnswer: 811008*sqrt(5) + 200728576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 687, 1383, 2089, 2811, 3555, 4327, 5133, 5979?\n\"Answer: z**3 - z**2 + 692*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 2:24 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5*c**4\/24 - 5*c**3\/3 - 7*c**2. Let y be j(5). Factor -2 - 36*r**3 + 23*r**2 - y*r**2 + 2 - 44*r**4.\nAnswer: -4*r**2*(r + 1)*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -218*m - 54. Let i be q(-4). Let o = i + -458. Is 361 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2773 - -14001. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:35 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 35 = 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1165 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 210559.\nAnswer: -3\/210559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 - 12*d**4 + 4*d**3 + 28*d**2 - 16 = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/34 in 5, 46\/3, 7.35?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*s = -2*y - 2, s = -3*y + 32. Let t = 1 - 2. What are the prime factors of 1 + t + -3 + y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7162.12 micrograms?\nAnswer: 7162120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 + 0 + 1 - 13*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 18 = 0. Let l(u) = -5*u + s*u + 9 - 9. Let q(y) = 84*y - 25 - 63*y + 25. Give q(l(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8755 is divided by 79.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtr when three letters picked without replacement from vvtrvrrrtv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 1. Let h(g) = -6*g**2 - 6*g + 14. Let z(l) = 12*l**2 + 10*l - 25. Let q(b) = -7*h(b) - 4*z(b). Determine -p(m) - q(m).\nAnswer: 5*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3762 + 3238. What is the second biggest value in 5, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, u: 2, j: 1}. What is prob of sequence vu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214807320 divided by -3320.\nAnswer: 64701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**3 - 549*r**2 + 5918*r + 560. Determine a(79).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 - (-2 + 20\/8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvgv when four letters picked without replacement from {v: 4, g: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 5814, 0 in decreasing order.\nAnswer: 5814, 0, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1982502.\nAnswer: 3965004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Let l be 2\/(-40)*-2*2. Let w = -12733\/2 - -6366. Which is the closest to y? (a) l (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -394.2091999 - 0.449.\nAnswer: -394.6581999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3668)\/(-465) - 8) + (178\/(-15) - (-250 + 238))\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a74d3 (base 14) to base 10.\nAnswer: 5244753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14507 or 166\/5?\nAnswer: 14507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636907983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -696 - 12*o + 230 + 229 + 237. Let p(q) = 9*q**2 + q - q - 5*q**2. What is p(r(b))?\nAnswer: 576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 3, u: 4, z: 1, q: 1}. What is prob of sequence qvuv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/6 + 8\/(-12). Suppose 3*f - 12 = -0*f + 4*g, -4*f - 3*g = v. Solve 3*q - 11 = -f*c - 4*c, -4*c + 3 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 52 (c) -2\/57 (d) -1\/10 (e) 19\/2 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 145949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**2 - 2 - 6*t**3 + 8*t**3 - 3*t**2 + 2*t + t to j + h*t + z*t**2 + o*t**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r + 51*r - 63 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 8 - -11 - (48\/8 - 4). Solve -a*r + 25 = 5*v + 20, -5*v - 2*r = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51236 - 130606?\nAnswer: -57350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 473194529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c054 - -1?\nAnswer: c055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11326*v**3 + 9805*v**3 + 8403*v**3 - 3*v**2 - 589*v**3.\nAnswer: 28945*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -138*h - 2. Let g(s) = -37*s - 2. Calculate f(g(l)).\nAnswer: 5106*l + 274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - d - 1. Let j be u(-1). Let k = j + 1. Solve 8 = 5*x + s, -k*x - s - 12 = -8*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6358706 rounded to three dps?\nAnswer: -2.636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 17 + 9)*(79*y**2 - 26*y**2 - 42*y**2) - 2*y**2 + 4 - 4.\nAnswer: 218*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**2\/3 - 4168*x\/3 - 423016\/3 = 0 for x.\nAnswer: -242, -874\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11323 + 103?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 - s - 2. Let j(z) = 67*z**4 + 15*z**3 - 4*z**2 + 2564*z - 4. Let f(b) = -j(b) + 2*v(b). Find the second derivative of f(c) wrt c.\nAnswer: -804*c**2 - 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g**3 + 5*g**2 + 5*g - 5. Suppose 40*b - 11*b + 24 = 17*b. Let i(v) = -2*v**2 - v**3 + 2 - v - v - 6*v**3. Give b*s(f) - 5*i(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178\/15 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 - 269 - 1440*o**2.\nAnswer: -1440*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 + 0.027\nAnswer: -0.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -7, -4, 110, 6.\nAnswer: -7, -4, 2, 6, 8, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from maaymmaammy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 - -1)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - h - 7*h - 11 in the form i + x*h and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1679012, 3358025, 5037038, 6716051, 8395064?\n\"Answer: 1679013*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*2\/(-732) - (-42)\/252. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 19 + 34)*(3*l - l - 4*l).\nAnswer: -144*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.051 - 1890444.\nAnswer: -1890443.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 q, and 1 i when four letters picked without replacement from {q: 4, h: 6, i: 1, z: 5, e: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1831132 centimeters to nanometers.\nAnswer: 1831132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185.1 - -185. What is the closest to -1 in m, 4, 25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -40, -3, 52, 131, 240, 385, 572?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyyk when four letters picked without replacement from xxfyyyyfyyykuy.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j**5 + 0*j + 73\/210*j**7 - 11\/8*j**4 + 0*j**6 - 1\/6*j**3 + 0 + 24*j**2. What is the second derivative of x(b) wrt b?\nAnswer: 876*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3364257768?\nAnswer: 2, 3, 2467, 56821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -575 + 578. Which is the smallest value? (a) -1.1 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f - 10. Let l be m(-2). Let a = l + 37. Suppose 0*y + 56 = a*y. Calculate the highest common factor of y and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 + 1 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262.15646 - 0.09646. Let y = 262 - j. Let b = 4 + 1. What is the nearest to 0.2 in y, 6\/5, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-27)\/(g**(-1\/6)*g**9*g) assuming g is positive.\nAnswer: g**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*c + 9 = 2*z, 2*z = 4*c - 6. Let q(t) = 4*t**3 - 2*t - 1. Let p be q(2). Calculate the remainder when z + (p - 3\/(-3)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -67 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r - 1876931 + 1876931 - 22*r + 46*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9. Suppose -2*d - d + 4*h + 46 = i, 2*h = -2. Let b(g) = 21*g**2 + 2*g - 3. Calculate the smallest common multiple of b(1) and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 0.1, 0.5, -0.2, 12, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 17*q - 11. Let o be u(16). Which is the third biggest value? (a) o (b) -4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -0.97.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:24 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1326067715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596671062 - 3.\nAnswer: -596671065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.982 - -0.018. Let g = -59 + n. Let p = g + 25. What is the third smallest value in 8, 4, p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*j = -24, -24*j = w - 29*j - 29. Let g(f) be the second derivative of -f**4\/12 - 5*f**3\/6 - 2*f. What is g(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 58*g - 108108. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4372 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 1. Let m(j) = 29*j. Let x(y) = -169*y - 2. Let w(z) = -11*m(z) - 2*x(z). Determine -5*f(d) + w(d).\nAnswer: 24*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 11*f**2 - 36*f - 18. What is the lowest common multiple of 36 and t(14)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28734, -28728, -28722?\nAnswer: -28716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*u**2 + u - 434010*u**3 + 9*u**2 - 3 - u + 433999*u**3 + 5*u**4 to the form k + j*u + z*u**4 + s*u**3 + m*u**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-12)*3\/(-2). Suppose -5 = -b*l - 3*l. Let p = l + 2. Solve -p*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 195 = 2*m + 5*y, -117*m + 241*m - 119*m + 4*y = -183 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 0 (b) -1 (c) 2 (d) -45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2*y**2 + 3*y**2 + (2*y - y + 0*y)*(2 - y - 2) + 2*y**2 + 3*y**2 - 3*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + (1 + -6 - (-607 - -615)) - 89?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 24*z - 27. List the prime factors of u(19).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4008, 1, -48 in descending order.\nAnswer: 3, 1, -48, -4008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4270 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41888393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 3 - 7) + -38 + 36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613952283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Suppose -j*u + 6*u = 48. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 + -8.3. Suppose 3*x = -2*x - 5, 0 = 2*q - 4*x - 6. Which is the smallest value? (a) q (b) -1\/6 (c) s (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12000 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -17 + 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 30 = 5*p, -39*a = -42*a - 3*p + 7*p - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(275))**2 + sqrt(275) + sqrt(275) + 1 + 4 - -1*(1*sqrt(275)*-4*-5)**2)*-2.\nAnswer: -222228 - 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15.989 * -10264\nAnswer: -164111.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -301.520508 to 1 dp.\nAnswer: -301.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, j: 1, v: 4}. What is prob of sequence av?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cee when three letters picked without replacement from eceeecccecec?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - v + 5. Let i be (-3)\/2*(-8)\/6. Suppose 4*l = 7*l - 6. Let c(b) = 1 + 16*b + 2*b**l - 17*b + 3. Determine i*d(r) - 3*c(r).\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**4 - 5576*d**3 + 796*d**2.\nAnswer: 4*d**2*(d - 199)*(7*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjljljjjjljjjljjjj.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f + 119 - 119)*(-f - 2*f + 2*f)*(f + 2*f - f) + (17 - 17 + 6*f)*(-2*f**2 - 6*f**2 + 7*f**2) to the form l*f**2 + x*f**3 + n + r*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6621*t + 679. What is the hundreds digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328755777?\nAnswer: 3, 7, 233, 67189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s + 4*s**2 - 5*s**2 + 28 - 25. Let p be z(9). Let c be 6\/(-24)*12\/9. What is the second biggest value in c, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h + 4. Let j(u) = -30*u - 9. Suppose 183*v - 1029 - 329 = -11*v. What is v*q(b) + 3*j(b)?\nAnswer: 15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.57 - 49.8. Let r = -0.23 - g. Let d = 2.9 + -3. Which is the nearest to r? (a) d (b) -5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4 - 115898*a**3 + 3246714*a**2 + 115898*a - 3246712 = 0. What is a?\nAnswer: -57977, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 156 = -3*p - 2*p, 40 = w + p. What are the prime factors of w\/10 + 6\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915*b + a = 917*b - 55682, b + 4*a = 27841. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 0)\/(-8)*8. Let h(k) = -1 + 3 + m*k - 2*k. Suppose -3*c = -1252 + 1246. Let u(a) = 2*a + 3. Determine c*u(x) - 3*h(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3625919.\nAnswer: 3\/3625919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let i(l) = l. Let h(u) = -3*f(u) - 5*i(u). Let p = -5 - -8. Let m(t) = 3*t**2 - 2*t**2 + p - 3. What is m(h(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - t**2 + (-3 + 2 + 3)*(0*t + t**2 + 0*t) + (-75*t + 59*t - 29*t)*(-1 + 1 - 2*t) - 4*t**2 + 2*t**2 + 0*t**2.\nAnswer: 89*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1219 + -1058. What is the fourth smallest value in 1\/7, -2, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let m(n) be the second derivative of 31*n**4\/3 + n**2 + 316*n. Calculate m(i(f)).\nAnswer: 124*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 44. Suppose 0 = 4*i - 9 + 5. Let h = q + i. Solve -d = -h + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/(46\/1012)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 6, 76 in decreasing order.\nAnswer: 76, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25. Let t = 2 - b. Suppose -6*v + v + 65 = t. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -74. Suppose a*j - 12*j + 1176 = 0. Suppose 5*b - j = -27. What is the lowest common multiple of b and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-16\/3)*h)**(1\/54)*h**(-31)\/(h**25*h) assuming h is positive.\nAnswer: h**(-4622\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4 + 3 - 2*x + 1. Let m(f) be the first derivative of -4*f**3\/3 + 1. Give m(d(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:26 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**2 + 5 + 2\/5*s**5 + 0*s - 1\/2*s**4 - 4\/3*s**3. Factor r(a).\nAnswer: 2*a**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 366.3017ml?\nAnswer: 0.3663017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3188 = 2*u - 4*h, h - 7568 = -3*u - 2779. Which is greater: u or 1595?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + a**2 - 4*a - 3. Let s be q(-2). Let z(r) = 38 - 79 + 4*r + s. Let y(k) = -k. Give z(y(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -6829*c**5\/5 + 13*c**2 - 88*c - 11959. What is the second derivative of s(j) wrt j?\nAnswer: -81948*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 36 - 49. Let c(o) = -452*o - 459 + 455 - 160*o. Let u be c(i). What is u rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2450 and -6.28.\nAnswer: 15386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -28, -11, 24, 83, 172, 297, 464?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.71? (a) -1\/4 (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 642998 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -24.\nAnswer: -73\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288438 is divided by 480?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -52*d - 2. Determine m(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22*(6 + -5) + -4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 71, 0.347, -1\/13, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3602341 - -1?\nAnswer: -3602340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*l**2 - l**3 - 48*l**2 + 3*l**3 + 3*l**2 - 3*l**3 - 3*l**2 + 0*l**3 + 0*l**3 + l**3 + (4*l**3 - 2*l**3 - 3*l**3)*(0 - 3 + 2).\nAnswer: l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -11. Let g be (-23)\/(-46)*10 - (-22)\/(-5). What is the nearest to 2\/3 in g, -1\/5, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 9, p: 8}. Give prob of sequence pt.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**2. Let i(r) = 1337*r + 21. Let o be i(3). Let x(u) = 4032 - 12*u - o. Give h(x(z)).\nAnswer: -1440*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 485310 and 20660340.\nAnswer: 144622380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.85 and -2.\nAnswer: 15.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -122443, -122431, -122389, -122299, -122143, -121903, -121561?\n\"Answer: 3*m**3 - 3*m**2 - 122443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-36))\/((72\/8)\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*b + 18 = 0, x - 17 + 8 = 4*b. Suppose 5*l = -2*s + 46, 2*l = -0*l + 8. Let a = s - 6. Is a < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 5 + 5)*(-r - 3*r + 5*r) + r**2 + 2*r**2 - r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 13 + 4*m + 11*m**2 - 3*m**2 - 12*m. Let q be y(-9). Suppose 2 = -t, 3*t = -p + 2 + q. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 - 5.63. Let m = 8 + u. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/129 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 9*a + 52. Determine m(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 106 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2431.11.\nAnswer: -2429.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - (-2 - 2). Suppose 0*x + p*x - 85 = -5*g, -3*x + 4*g + 16 = 0. Calculate the highest common divisor of x and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-4*(3*sqrt(208) - sqrt(208)) - (-1*sqrt(104)*2)\/(sqrt(1568)\/sqrt(4)))**2.\nAnswer: 211551028\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.38? (a) 2\/5 (b) 569\/19 (c) -30\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14845?\nAnswer: 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + (0 + sqrt(833))*4 + 0)*-5*2)**2.\nAnswer: -403200*sqrt(17) + 47995200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3006 = 129*k - 11004 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40922 and 406112.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1385 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 15.9. Which is the third smallest value? (a) 0.5 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000289592053 to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -964 by -482.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3526 + -1706. Suppose -36*x + 43*x = l. What is the highest common factor of 156 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*(-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 3 + 1 - 2. Let m be 4*3\/(-3 - 3). Let b be -1 + -2 - m - 1. What is j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2974, 7, 2, -4, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:17 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -360, 356, 1380, 2724, 4400, 6420, 8796?\nAnswer: 11540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97301 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**6\/720 - j**4\/4 + 3*j. Let s(r) be the third derivative of m(r). Let p(l) = -l. What is p(s(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2. Let g(f) be the third derivative of 0*f**3 + 3*f**2 + 0 + 0*f - 1\/12*f**4. Give g(p(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let z(u) = 7*u**3 + 1 - u - 11*u**f + u. Is z(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f - 26718 = 72*f - 533652. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1313*z - 18413. Calculate d(14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2941 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 10\/3*g**3 - 6*g - 2\/3*g**4 + 0.\nAnswer: -2*g*(g - 3)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.71 + 0.01. Let f = h - -0.7000056. Round f to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-30 - (14 - (8 + -13) - 16)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 31*y**2 + 487*y + 133. Give v(-11).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 42 + h**2 + 2*h**2 - 52*h + 104*h - 63*h. What is the remainder when j(19) is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.619 + -37.4. What is t rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -905?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 2075674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*c + 107960 = 0, -4*c = 73*a - 70*a - 64779. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(33)*1)\/sqrt(11) - sqrt(432)*2*6)**2.\nAnswer: 58800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17430650 or 17430639?\nAnswer: 17430650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12849*6\nAnswer: -77094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 8*w - 3. Suppose 0 = -3*k + 5 + 13. Let n be m(k). Suppose 2*p - n = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 4*y**2 - 3*y. Let a be b(3). Let j(m) = m**2 + 16. Does 5 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 + 27. What is v(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 146 + 359. Suppose 3*o = -4*d + 517, -3*o - 5*d = -4*d - g. List the prime factors of o.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -247b + -4?\nAnswer: -2483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31922137 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 i when four letters picked without replacement from {i: 1, z: 1, o: 2, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 4, p: 2, w: 1}. Give prob of sequence pyw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929320 divided by 385864?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.86 in 68, -13, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 10 - 8 - 27.\nAnswer: -p - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 111603\/360 + -7 - (5 + -2). Let h = w + -300. What is the second smallest value in 4, h, 0, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7624 and 41.\nAnswer: 312584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 107679726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53*(3 - 6)\/(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsv when three letters picked without replacement from {v: 9, s: 7, p: 2, f: 1}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*l - 16851015, 5*c = 155*l - 159*l + 13480775. What is l rounded to the nearest ten thousand?\nAnswer: 3370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 2059474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**2\/c)\/c)**35)**(-8\/7))**(-2\/57) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*b - 10 + 48, -2*b - 76 = 2*i. Suppose 3*g + 264 = 4*x + g, x - 3*g = 71. Let w = x + i. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 16, -2\/9, -4\/7, -0.01 in increasing order.\nAnswer: -4\/7, -2\/9, -1\/5, -0.01, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4160 and 13108940.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -5*i**7\/42 + i**5\/10 + i**4\/6 + 22*i**3\/3 + 196*i. Find the third derivative of l(a) wrt a.\nAnswer: -300*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x + 14*x - 81*x + 21*x + 17*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1772661 = -17582*b - 3632*b + 287681 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 5, 98, 23408.\nAnswer: 3, 5, 6, 98, 23408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000788331238 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/11 + 322384*r\/11 + 5158656\/11 = 0?\nAnswer: -16, 161208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/10)*g**16 assuming g is positive.\nAnswer: g**(163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*k**4 + 3*h*k - 54*k**5 + 27*k wrt k?\nAnswer: -24*h*k**2 - 1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1911 take away -1.14?\nAnswer: -1909.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-5 + 13)) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 43. Determine d(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmfmffmmmfmmmmm?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*k - 63 + 29 = 0, 0 = -3*a - 4*k + 30. Solve 9*h = a*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4341.075l?\nAnswer: 4341075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 2*p + 4*u - 52, -5*p + 30*p - 73 = 2*p - 3*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2531 and 1.\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5 = 2*j + x, -j + x = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b + 4*b - 3*b - 2*b. Let i(l) = -4*l**3 + 2*l**2 + l - 3. Let n(d) = i(d) + 2*o(d). Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*l*n**3 + 1601*l*n*q**2 + 2*l*q - 25*l - 14*n**3*q**2 + 6*n**3 wrt q.\nAnswer: 3202*l*n - 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z + 2. Let r(x) = 2*x - 3. Let s(v) = -v + 10. Let d be s(7). Let u be r(d). What is the units digit of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -7783*k + 7782*k + 3*f, -31*f = 3*k + 88 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 16 (c) 0.1 (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 75*w**4\/2 - 651*w + 605. What is the derivative of f(x) wrt x?\nAnswer: 450*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14814 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*i**5 + 50668497*d**3*i**3 - d**3 + 11*d**2*i**2 + d**2 - 1571*d - 4*i - 16 wrt i.\nAnswer: -60*d**3*i**2 + 304010982*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724 a factor of 715428636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 6. Let w(y) = -1065*y + 15977. Let l be w(15). What is the smallest value in -0.3, l, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 615\/109, -3\/4 in descending order.\nAnswer: 615\/109, 4\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3 - 1 - -1 - (17640\/(-120) - -127).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 11. Calculate w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -27375, -41 in descending order.\nAnswer: 2, 1, -41, -27375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234421055 (base 6) to base 12.\nAnswer: -159178b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 256\/15*n**3 - 66*n**2 + 7\/75*n**6 - 16\/5*n**4 + 0 + 6\/175*n**7 + 1\/420*n**8 + 0*n - 56\/75*n**5. Factor s(j).\nAnswer: 4*(j - 2)*(j - 1)*(j + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -43*j**6\/120 + 19*j**3\/3 - 8*j**2. Differentiate v(c) wrt c.\nAnswer: -129*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53164537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 19 - 2*t + 0*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -86*z**3\/3 + 1125*z**2\/2 - 1503. Find the second derivative of n(w) wrt w.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 20547 + 0*c**3 + 3*c**3 + 20547.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1077 - 3233\/3. Sort -2\/5, l, 0.1, -0.03 in descending order.\nAnswer: 0.1, -0.03, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 76. Let a be (28\/6)\/(p\/12). Let g(m) = m**2 + 3*m - 2. Let n be g(-4). Is a greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.89 - -13.49. What is the third smallest value in -5, k, 1\/3, 23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 22?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 368088673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {e: 5, h: 2, f: 13}?\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2004810 - -21271535297\/11026455. Let z = -3471 + 5401. Let k = h - z. Find the common denominator of 45\/4 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-5 - -3)) + 2. Suppose 0 = 8*c - 3*c - 25. Suppose c*d = 5*q + 10, -a*d - 2 = 2*q - 4. Sort 2, 4, q in ascending order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9)*(f**19\/f)\/f*f*f\/f**(-20)*f**(-4\/9) assuming f is positive.\nAnswer: f**(266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0 + 1\/6*w**3 + 5*w + 115\/2*w**2. Is r(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2 - 4*j**3 + 18*j**3 + 2*j**2 wrt j.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by (-4)\/(-5) + (-1749)\/(-795) + 78\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -510. Let f(d) = w*d**2 + 2723*d**2 + 6245*d**2 + 2 + 3*d. Let o be f(-3). Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 1297692*j.\nAnswer: 4*j*(j - 324423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 0 + 0*m**6 + 0*m**3 + 83\/210*m**7 - 5\/4*m**5 + 0*m**4 + 102*m**2. Find the third derivative of h(w) wrt w.\nAnswer: 1992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 33. Let u be d(-7). Suppose 0 = u*p - 3*v - 24, 0 = -4*v - 16 + 4. Suppose 2*i = 2, -8*y + p*y + 191 = i. Does 38 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-20)\/(-33)*55\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29\/15 + -21\/10. Put o, 2, -1\/5, 65 in ascending order.\nAnswer: -1\/5, o, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 10*h + 1110. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deededdede. What is prob of picking 2 d and 1 e?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/(-2) - (-4)\/2. Let u be f\/(-5)*(-10 - (-4 + -1)). Calculate the highest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9057940921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 9*l - 6. Solve l = -t - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23848 and 42804992?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5870460, 0 in increasing order.\nAnswer: -5870460, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -72 + 0*6\/(-36). Let q be (2\/6)\/(-2 - 150\/u). Solve -4*v - q = -8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 110 = -17*k. Calculate the greatest common factor of k and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u\/(u\/(u**(-1\/4)\/u))*(u**(2\/3))**(-46))**(-24) assuming u is positive.\nAnswer: u**598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -3 (c) 4\/5 (d) -14 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-1 - 8)) + 0 + (-7 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 158, 326, 494, 662?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72965, 72786, 72479, 72038, 71457, 70730, 69851?\nAnswer: 68814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1202024*m**3 + 825 - 1202025*m**3 + 1306 + 12*m**2 wrt m.\nAnswer: -3*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 981174\/7 + -140160. Factor -12 + 6\/7*x**3 + 36\/7*x**2 - f*x.\nAnswer: 6*(x - 2)*(x + 1)*(x + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-8 - 48\/(-3)) + -4 + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 2*k**2 + 4 - 4 + 4*k - 3 + 0 as f*k**2 + b + o*k + z*k**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*n = 196, -4*n = q - 16 - 12. 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 254 minutes after 8:14 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11)*j**(-3))**(-2\/83)*(j*j**(1\/4))**(-4\/13)\/((j**(-4\/9)\/j)\/j**3) assuming j is positive.\nAnswer: j**(440929\/106821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10982 = 188*v + 3274. Calculate the remainder when 651 is divided by v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59200.8 + 59211. Let u be (-3)\/4 - 1\/(-1). Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 7*d**2 - 3*d - 20. Give c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 101*x - 1305. Let d(c) = c**3 - 7*c**2 + 4*c + 8. Calculate the remainder when d(7) is divided by s(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -539*o**2 - 8*o - 4. Calculate y(2).\nAnswer: -2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.996871 nanometers in micrometers?\nAnswer: 0.008996871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -37, -24, 5, 0.2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yusgussuysu. What is prob of picking 2 y and 1 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 23049. Let s be (52732\/8)\/((-1)\/2). Let t = s + w. What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/8303 and -41\/7942.\nAnswer: 182666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*n + 95 = 172*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, 3, 20, 53, 108, 191, 308, 465?\n\"Answer: g**3 - g**2 + 3*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*u + 2)*(-17 + 21 + 27) - 5*u + 2*u + 2*u + 2 - 2 - 2*u)*(6 - 6 + u).\nAnswer: 59*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676 divided by 4.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14632, 14610, 14586, 14560, 14532?\nAnswer: 14502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121583*q**3 - 371*q**2 + 709709294*q.\nAnswer: 729498*q - 742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 - 17*f - 3. Let z(q) = 2*q**3 + q + 3. Let a(j) = -2*v(j) - 2*z(j). Factor a(g).\nAnswer: -2*g*(g - 2)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from arraaarappaa.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 28\/103, -0.5.\nAnswer: -5, -0.5, 28\/103, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 20*g - 14. Let p be s(10). Let m be (-3)\/(-2)*32\/168*7. What is the third derivative of p*q**3 - 217*q**3 - 10*q**m + 36*q**2 wrt q?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35750 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((27\/2)\/3)\/((-75)\/(-200)). Suppose -f + 1 = 0, -2*p + c*f + 1 = 11*f. Which is greater: 1\/180 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 540900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-5 + 28 + -12) - (2 - -26).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081937088 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81*((-1204)\/252)\/43?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3808950 (base 12) to base 3.\nAnswer: -202122000111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 2*z - 14. List the prime factors of t(-17).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + 2 + 2 - (52 - 51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**5 - 1255*p**4\/4 + 1270*p**3\/3 + 1260*p**2 + 1787. Factor b(i).\nAnswer: -5*i*(i - 2)*(i + 1)*(i + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 2*d**2 + 6*d - 1. Let l be f(5). Suppose 5*g + 14 = l. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -524.021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b**4 - 1340*b**3\/3 - 3676*b**2\/9 - 1148*b\/9 - 40\/3 = 0 for b.\nAnswer: -15, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22239.61 grams to nanograms.\nAnswer: 22239610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/83190366 and 133\/18.\nAnswer: 83190366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7439 - 29919\/4. Let k = -41 - i. Let s = 29 - 28.9. What is the closest to k in -2, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 75*n**2 + 34*n + 60. What is the lowest common multiple of 15 and t(-37)?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16 + 4*v**3 - 3*v**3 - 43*v**2 + 55*v**2. Let d be y(-12). Which is greater: d or 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q = 25*q - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -23*o + 32. Let s(j) = 20*j - 28. Let q(l) = 7*r(l) + 8*s(l). Let h(m) = 3*m - 358. Give q(h(u)).\nAnswer: -3*u + 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -72, -83, -94?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 116\/5. Which is the biggest value? (a) 1\/6 (b) s (c) 0.4 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 12*a = 8. Let c be (12 + -15)\/((-9)\/6). Solve -m + c*m = a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200906*p**6 + 12141*p**2 - p + 5?\nAnswer: -24108720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 92cad?\nAnswer: 92cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32494)\/616 - 1\/((-1)\/8)) + (-21)\/(-28)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/480 + 3*i**5\/160 + i**4\/16 - 5*i**3\/3 + 10*i**2. Let v(o) be the first derivative of c(o). Find t, given that v(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 2)*(-5*d + 2*d + 2*d) + d - 5*d + d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-6)\/v)\/v**(-4))\/(v**(-1))**(10\/3))\/(((v*v\/(v**(-2\/7)\/v))\/v*v)**(-5\/6)\/((v\/(v*v**(-2\/5)*v))\/v**(-6))) assuming v is positive.\nAnswer: v**(593\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372087189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 12871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -1)*-1*6 + -6*(sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008) + 3)))**2.\nAnswer: 3456*sqrt(7) + 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-76))\/(27\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2265945 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2527\nAnswer: -3\/2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2784011617 + -14616060946729\/5250. Let h be (-1496)\/(-5250) + 4\/(-14). Let p = h - s. Calculate the common denominator of 71\/14 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 559, 558, 557, 556, 555, 554?\n\"Answer: -u + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -16277243?\nAnswer: 16277250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2\/3, -2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 54. Let n be (b\/(-27))\/(6\/27). Solve -2*l + 7 = l + 5*g, g = -n*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.9 - -85. What is the nearest to o in -7, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4 + 7175057*k**3 + 17160457067493*k**2 + 13680711064239634139*k - 136808826695278157690 = 0.\nAnswer: -2391689, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((4 - 3 - 0) + 8) - 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9435711, -9435704, -9435695, -9435684, -9435671, -9435656, -9435639?\n\"Answer: r**2 + 4*r - 9435716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/(98\/35*5\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301\/684 + 1\/228. Let f = -629 + 1231. Let z = f + -602. Which is the nearest to z? (a) -7 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - 71534 = -61*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21426061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {g: 3, m: 4, v: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3433*w**2 - 3*w - 19. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*r + 69, -k - 3 = -4*r + 28. Let l(j) = -j**2 - 11*j + 16. Calculate the lowest common multiple of l(k) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19712 or 20285?\nAnswer: 19712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 1. Let v be 2*(-1 - (-5 + 3)). Suppose v*n = -n + 6. What is the tens digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 1, w: 4, x: 1, c: 1}. What is prob of picking 1 c and 2 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135.2984356 + -135.\nAnswer: 0.2984356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4547*a - 4541*a + 9083*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -6998.\nAnswer: -118966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1408 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 89 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -82. Let u(q) be the third derivative of -1\/120*q**6 - 1\/3*q**3 + 1\/30*q**5 + 0*q - 5*q**2 + k + 1\/24*q**4. Factor u(r).\nAnswer: -(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -31, 3\/4, 26\/45, -1\/11, -174, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167909438?\nAnswer: 2, 83954719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -453.2888.\nAnswer: -9.065776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 0*b**2 - 3*b**2)*(-11 + 11 + 3*b) - 2*b**3 - 2*b + 2*b to l*b**2 + z*b + r + c*b**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -5, -746, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {u: 11, n: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 1\/2*a**2 - 4*a - 99. Suppose -5*r - 16 = 19. What is p(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + -1)*-2 + 1 + -6*(sqrt(288) + 0)*1)*-2)**2.\nAnswer: -2304*sqrt(2) + 73764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/i)\/i**(-4\/11) assuming i is positive.\nAnswer: i**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 64 - 92*b + 188*b - 91*b. Let h be a(-12). Solve -n + 4*k = 11, -2*n = -5*n - h*k + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1046*s - 6*s**2 + 503*s - 1446*s - 38*s - 693*s)*(-4 + 2 + 1).\nAnswer: 6*s**2 + 2720*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Let m(i) = -i**2 + 6*i + 5. Let o be m(c). Let l be (-108 + -2)*(-4 + 5 - 2). What is the greatest common divisor of l and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y**2 + 4*y + 10. Let j be x(-12). Suppose -68*k + 66*k = j. Let g = k + 1734. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 368*r**2 - 3326*r\/3 - 740.\nAnswer: 2*(r - 555)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19419, -77547, -174441, -310107, -484551, -697779?\n\"Answer: -c**3 - 19377*c**2 + 10*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1554757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofc when three letters picked without replacement from {o: 1, x: 1, e: 1, q: 1, c: 1, f: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -25. Let h = -48 + x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.4 + -0.8. Let z = d - 6. Let t = 142422 + -142422.2. Sort t, 0.01, z in descending order.\nAnswer: 0.01, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 18*f**2 - 29*f + 76. Calculate c(16).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/7 or 5?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -488 + 2\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2984, -11840, -26602, -47270, -73844, -106324, -144710?\nAnswer: -189002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4555444126.\nAnswer: 2, 673, 3384431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.9 + 38. Suppose 2*n + 3*n + 5 = 0. Is n < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*l - 8386, a - 5*l + 4187 = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, p: 1, y: 10}. Give prob of picking 1 p and 2 y.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/156)\/(2308\/11640 + 377\/65 + -6)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/264 and -71\/84?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o + 1. Let b = 48 + o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -11*s + 14*s - 14, -3*l - 4 = -4*s. Let j(m) = m**2 + 10*m + 10. Let v be j(-8). Sort v, 1, s in descending order.\nAnswer: 1, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 8*u + 10*u**2 + u**3 + 20 - 8 + 13. Let x be q(-11). What is the second derivative of 5*z**3 + 12*z - 15*z**3 + 2*z - z**x wrt z?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520255, 520273, 520303, 520351, 520423, 520525?\nAnswer: 520663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 10. Let q be (-3256)\/(-72) + ((-29)\/9 - -3). Suppose -q*m = -46*m + 5. Solve d*u - 2 = 3*t, 0 = -m*t - u - u + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1 - (-3 + 1)). Suppose -h + 5*r = 22, 4*h + r - 11 = 6. Solve z = -x - h*k - 11, -k = 4*x - 3 + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1143 + -1139. Let z = -7 - -7.78. Let g = z - -0.22. Sort o, g, -10 in decreasing order.\nAnswer: o, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 35 = 4*z, 7*p + 4*z = 3*p + 28. Let x(u) = -u + 9. Let v be x(p). Suppose -v*f + f + 4 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (1 + -4))*-5. Suppose 5*a = 4*y + 23, 0 = m*a + 10 + 15. Let b be 83 - 4\/y*3. What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 457778 - 97974 + 190276. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6302 or -6313?\nAnswer: -6302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -232 and -2020648963681.\nAnswer: -2020648963913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207274 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9275, -18560, -27845, -37130, -46415?\n\"Answer: -9285*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 10. Let g be 1\/(36\/60 - (-52)\/(-95)). Let s be a(g). Let o(w) = s*w**2 - 419*w + 419*w + 1. Calculate o(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*y - 15. Let m(v) = v**3 + v**2 - 2*v + 2. Let k be m(-4). Let s = k + y. Calculate the remainder when 66 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*r - 3*v, 2*r = 3*r + 3*v + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from pfpppfholplflp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(82940\/29)*(-105)\/(-42).\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -163676 and 16.\nAnswer: -2618816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(1300)) - (sqrt(13) + sqrt(78)\/(sqrt(6) - (sqrt(18)\/sqrt(3) - sqrt(6))) - ((sqrt(130) - 1*sqrt(130)) + sqrt(130))\/sqrt(10)))**2.\nAnswer: -328*sqrt(13) + 21869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 1 + 1)*(3*z**2 + 0*z**2 - z**2)*(1 - 4 + 1)*(4*z - 4*z + z) - 2*z**4 + z**4 - 6*z**4 to m + s*z**2 + k*z**4 + x*z + r*z**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-4)\/16)\/((-1)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/425491 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57244 or 57245?\nAnswer: 57245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(1100)*5 + sqrt(1100) + sqrt(1100))**2 - (sqrt(1100) + 2 + (sqrt(1100) + -5)**2)).\nAnswer: 540*sqrt(11) + 316644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.20734 rounded to 1 decimal place?\nAnswer: -46.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*i**4 + 4*i**3 = 0 for i.\nAnswer: -2\/83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 1 - 5. Let d(m) = 3*m - 1. Let v be d(u). Suppose -v*i - 3*s + 147 = 0, 3*i - 96 = -i + 3*s. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42830886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/7 + 928*u**3\/7 + 8482*u**2\/7 - 45952*u\/7 + 36543\/7 = 0?\nAnswer: -13, 1, 3, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 7*z - z - 6*z + 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 86*n + 561. Let q be l(35). Let i be (-16)\/10 + (-2)\/(-1). Which is the closest to i? (a) -4 (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-4 - -3)) + -9 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*4*(9 - 140\/16). Let t(a) be the third derivative of p + 5\/3*a**3 - 20*a**2 + 0*a - 5\/12*a**4 + 1\/60*a**5. Calculate t(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 15. Suppose 2*i + 8 = 3*n, -12 = n + i + w*i. Solve -2*f - 2 + n = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((7 + -3 - 1) + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -43*z**3 - 325*z**2 - 16. Let x(l) = 19*l**3 + 164*l**2 + 7. Calculate 3*u(s) + 7*x(s).\nAnswer: 4*s**3 + 173*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000 + -120020101112?\nAnswer: -120020111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:22 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2. Let u(z) = 1811*z. Calculate u(r(i)).\nAnswer: 7244*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.544 less than 0.4?\nAnswer: 0.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5 and -25\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 7435.\nAnswer: -743.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9413 - 0.0587. Let q be (1\/4)\/((-1)\/2). What is the smallest value in z, q, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4 + 900*f**3 - 41390*f**2 + 80100*f - 39605 = 0?\nAnswer: 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 14. Let l = 757 + -757.2. Sort p, l, -1.\nAnswer: p, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.025 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 plus -0.2?\nAnswer: -693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -5\/3, -2\/3, 3, 0.02, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/6 + c**2 - 7*c. Give x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 2, j: 1, c: 3}. What is prob of picking 1 j and 1 i?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.375 + -0.505. What is d rounded to one decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/30 + -4)\/(4\/50) + (-4737)\/(-14211).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845 and 7670.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 37, -0.2, -4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123998 or -127223?\nAnswer: -127223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 709073411 to the power of 1\/2, to the nearest integer?\nAnswer: 26628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9366 - 5.88. Let d = 196.8566 - h. Let u = d + -182. Round u to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 0.74. Let x = j + -0.4. What is the third smallest value in -1, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 119.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*x = -21, 4*m + 0*x = 2*x - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 93. Let j = 17 + s. Let b = -54.99999885 + j. What is b rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3324065*g - 12*g**3 - 3324065*g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 81 = 153. Suppose s + 143 = -4*d. Let v be 1\/(-2) - d\/70. Which is the second smallest value? (a) v (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 2*o**3 + 4 - 5*o - o**3 + 4*o**3. Let u be w(6). Suppose 19 = 3*n - 26. Calculate the highest common factor of n and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - 1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30262\/14 - (-33)\/77?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 5*p + 1. Suppose -42 = -0*o - 3*o. Let s = -70 + 89. Let m(n) = -s + n**2 + 21 + n**2 + o*n. What is 3*m(c) - 8*x(c)?\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1010100?\nAnswer: -1010033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 93964200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 713790 divided by -142758.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -69. Solve -5*g + 2*a - v = 1, -3 = -g + 4*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488924660 divided by -1321418\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1744 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = 5*j. Suppose -5*u - 2084 = -7*u + 2*i, -j*u = i - 4163. What is the remainder when u is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50648?\nAnswer: 2, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + g + 3. Suppose 0*b + o = 2*b + 10, 4*b + 24 = 3*o. Let q be i(b). Let p = -4 - q. What is the remainder when 40 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((0 - 3) + 2 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 11:28 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:45 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -56, -76, -96, -116?\n\"Answer: -20*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 4*n**2 + n - 3 - n**2. Suppose -12 = -5*h + 3. Let x be o(h). What is the greatest common factor of x and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -22*z + 10*z. Let y(c) = -c + 9. Let r be y(7). Put 6, z, r in descending order.\nAnswer: 6, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(b - 2*b + 0*b)*(0 - 2 + 4 + (3 - 4 - 2)*(3 - 3 - 1) + 1 - 1 + 6).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -25*c**3 - 581790*c**2 - 2093945*c + 4071900 = 0?\nAnswer: -23268, -5, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5\/17, 3, -1, -148 in descending order.\nAnswer: 3, -0.1, -5\/17, -1, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 divided by 90?\nAnswer: 491\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7209 (base 14) in base 4?\nAnswer: 10302121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:21 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + b**2 - 2*b**2. Let q(y) be the first derivative of -y**5\/60 - y**3\/3 - 1. Let s(a) be the third derivative of q(a). Give s(p(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289030 is divided by 57767.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n + 6*n + 4*n - 3*n - 274 as v*n + l and give l.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:59 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 1305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 69*t**2 + 35*t + 96. Give b(-35).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1474 divide 4234770597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187920 - 59069 = -1847*p - 2202*p for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2662\/849 - 3\/1415. Let b = a + -14\/5. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227095681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7239829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.5 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 593\/5, -21.7, 1, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (sqrt(17) - (sqrt(17) + -1*sqrt(17)) - sqrt(17)))*1*-6)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 1119*u**3 + 2409*u**3 + 1783*u**3 + 0*u**2.\nAnswer: 5311*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12856765 to the nearest integer?\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 85*q - 1263. What is u(-65)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5 + 7\/5*p + 0*p**2 - 1\/5*p**3.\nAnswer: -(p - 2)*(p - 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -9, -0.24, -1\/9, 2\/15?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 1. Let s(r) be the first derivative of 16*r**3\/3 + 48*r + 2317. Determine -2*s(f) - 96*x(f).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3236798 is divided by 1078928.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38199 and -1.686537.\nAnswer: 38197.313463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + 397. What are the prime factors of g?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0453 - -0.0453. Put x, -3, 5, 0.06 in increasing order.\nAnswer: -3, x, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d = 812 + 1044. Suppose 0 = -3*v - 15 + 33. Do d and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 35*x**2 + 6*x + 11*x - 13*x.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*g + 3*g + 6, -w - g - 2 = 0. Let h be (-1)\/((w - -5)\/(-9)). Solve -h*d + 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(168\/(-32))*24. Let j(g) = g**3 + 29*g**2 - 103*g + 13. What are the prime factors of j(o)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 12:14 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/(m*m*m\/m**(-21)*m*m))\/m*m)*m*m*m\/((m*m\/((m\/(m\/(m*m\/m**23)))\/m))\/m))\/((m\/(m*m\/m**(-14)))\/m)**36 assuming m is positive.\nAnswer: m**581","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23635 divided by -43?\nAnswer: 23635\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 23, 35?\n\"Answer: 12*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 0*h + 0*h + 3*h - 7. Let n be (-4)\/(3\/(15\/(-20))). Let w(p) = p - 1. Give n*j(l) - 6*w(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2776 + -0.1\nAnswer: -2776.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17602\/27 - -652. Let h = r - -44\/135. Which is the smallest value? (a) h (b) 119 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = 5*r - 2, 2*r - 4 = 0. Solve -27 = 7*v + d*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -21*r + 6. Let s(t) = -4*t + 1. Let g(c) = -c**3 - 5*c**2 - 3*c - 17. Let j be g(-5). What is j*x(q) + 11*s(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23514848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nltttllltlntt. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10262, -19327, -28392, -37457, -46522, -55587?\nAnswer: -64652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 100, 95, 90, 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337724044.\nAnswer: 2, 7, 31, 389083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43601 less than 7.475?\nAnswer: 7.91101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26069789, -26069792, -26069795, -26069798?\nAnswer: -26069801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) 26 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - q + 6 = 2*q, -r + 4*q = 8. Suppose h = -2*n + 12, -n = -r*n - 5. Let a be ((-6)\/3 + h)\/(-2). What is the second smallest value in 3, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*s - 0*s + 2*k, 0*s - 6*s = -23*s - k - 71 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**7\/210 - a**5\/60 + 3*a**2\/2 - 3*a. Let r(s) be the first derivative of n(s). Find the third derivative of r(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) 1\/4 (c) 0 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ec4 (base 15) in base 10?\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 2, j: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -343, -326, -307, -286, -263, -238?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + w + 2. Let h be u(1). Suppose -2*p + g + 228 = 0, h*p - 95 = -3*g + 486. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -431 + 59. Let n = t + 372.941. Let d = n + 0.019. Round d to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 3*u + 5. Let w(b) = -3*b - 4. Determine 4*s(n) + 5*w(n).\nAnswer: -4*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -134, -100, -36, 64, 206, 396, 640?\n\"Answer: a**3 + 9*a**2 - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 231\/(-84))*-4 + (2 - -60) + -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104 = -7991698*r + 7991714*r for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 84 - 2 + 2 + 1 - 4 + 5 + 1 + 1 - 3 + 4 + (5 - 4 + 0)*(-1 + 0 + 2) + 7 - 4 + 9)*(-2 + m + 2) to the form d*m + z and give d.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*-2*1. Let y = 1.081 - 0.081. Which is the fourth smallest value? (a) -0.1 (b) y (c) -22 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252) + 1 + sqrt(252) + -2 + 0)**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {h: 4, m: 3, z: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-4)\/(-176)*4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/5 + 28\/5 + -6. Factor 37*j**2 - u*j**5 - 6*j**3 + 3*j**4 - 25*j**2 - 6*j**2 + 7*j**4 - 24*j**2.\nAnswer: -2*j**2*(j - 3)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((8\/9)\/2)\/(-2). Let c(s) = -s**3 + 11*s**2 - 12*s - 57. Let k be c(9). What is the closest to 1\/2 in 2\/13, i, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 18*g**2 + 13*g + 4. Calculate n(19).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 1. Let j be l(1). Suppose z - 2*z - 37 = j*a, z = a - 43. Is z <= -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 1 = 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 179, -5, 5 in increasing order.\nAnswer: -5, 1, 3, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -2238090\nAnswer: 19\/2238090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 9*g + 1. Let m(n) = -11*n**2 - 36*n + 4. Let i(z) = -m(z) + 4*s(z). Let v(u) = 17*u - 5. Give i(v(h)).\nAnswer: 867*h**2 - 510*h + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 154686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 4\/((-20)\/25). Suppose q = -j + 128 - 123. Solve -5*y - 12 = -4*w - y, 4*y = j*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t + 17. Let r(q) = q - q**2 - 19 + t + 4*q. Let l be -2*((-1)\/(-1) - 3). Give r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - sqrt(88)*1*-6)\/sqrt(8) + (sqrt(176)*1 + sqrt(11))*5 - (4*(sqrt(704) + 1)*-6*6)**2.\nAnswer: -14618880 - 331744*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let z(v) = -9*v + 685010. Calculate z(y(g)).\nAnswer: 18*g**2 + 685010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0268 + 3.8032. Round d to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5486 - -5528. Let w be (40\/12 - -3)*-18. What is the common denominator of a and 0 + -2 + w\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*3\/(-1)*(-12924)\/7180.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 6. Suppose -5*z = -z - 56. Suppose 0 = -5*c + 3*c - z. Let r be o(c). Let n(s) = 3*s**3. Determine n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 122 - 79 = -209 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -110*y + 113. Let x(s) = -111*s + 115. Let r(l) = -4*x(l) + 5*z(l). What is the first derivative of r(h) wrt h?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12891782 + -8827672. Let l(d) = 994873*d - 1. Let a be l(7). Let r = a - z. Round r to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2\/5, 12, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 - -123. What is the nearest to -0.1 in 0.3, m, 4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-15))\/((-64)\/(-96)))\/((-511)\/14).\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.8, -1\/42, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 6*n - n + 0*n + 300 - 2*n in the form j + q*n and give j.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 4 (c) 358 (d) -8 (e) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Let i be r(2). Suppose -9 - 1 = -5*l. Put i, 4, l in descending order.\nAnswer: 4, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -59, -72, -87, -104, -123, -144?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p - 18*p + p**3 + 36*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w = 53*w + 2084. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, 9, 65, 8, -171 in decreasing order.\nAnswer: 65, 9, 8, 1, -2, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*r + 92 = 490, 2*k + r = 398. What is the remainder when k is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -19 - (-43 + 13 - -14 - -25).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4*21\/(-56))\/4. Sort -0.3, -47, 3, s in ascending order.\nAnswer: -47, -0.3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -1736, -5690, -13396, -26108, -45080?\nAnswer: -71566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -1\/2 (c) -2\/4607 (d) 0.4 (e) -2\/9 (f) -0.248\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85.67 - 0.33. Let n = u + 85.999957. What is n rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7989, -7952, -7875, -7746, -7553, -7284?\nAnswer: -6927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 246 = 1843 - 409. What is the remainder when 141 is divided by o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19585 or -25471?\nAnswer: -19585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (-2*(5*sqrt(1300)*-1 + (-2*sqrt(1300) - sqrt(1300)) + 1)*5)**2) + -4.\nAnswer: -16000*sqrt(13) + 8320094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/774326 and 43\/119?\nAnswer: 13163542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 165?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101221002022120 (base 3) to base 14\nAnswer: -ab2978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 58 = 188. Let r = k - 19. Let t(g) = -g**2 + 6*g + 6. What is t(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) 3795\/8 (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4784125, -9568251, -14352375, -19136497?\n\"Answer: w**2 - 4784129*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*f + 215*f - 390 = 338*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3512 - 2386. Let o be 80\/200 + (-1 - f\/(-10)). What is the highest common divisor of o and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 1, l: 1, u: 4}. Give prob of picking 1 k, 1 l, and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52995 is divided by 616.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -1328 + 1303. Suppose -4*z = -5*v + n - 1, 0 = z + v - 8. Solve z = -5*d - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-265)\/(-55) - 2\/(-11). Suppose w - x*w = -20. Let p = w - -2. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-7))**(3\/2))**(2\/39))**(-36))**(-21) assuming f is positive.\nAnswer: f**(-5292\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9215, -1, -4, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4290\/21049 + 1\/2037. Find the common denominator of l and 27\/2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 2*s, -5*v - 9 = -3*s. Let j be 0 - (v + 3 + 0). Sort j, 1, 3 in ascending order.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 10*x - 5. Let f = 1 + -6. Let b(h) = -3*h**2 - 15*h + 7. Let k(r) = f*b(r) - 7*z(r). What is k(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1378433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494 + 496. Solve -o + 15 = -x*q, -4 = -5*q - 3*o - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1150*p + 1342*p + 1 + 1975*p + (-p + 5*p - 5*p)*(2 - 6 + 2).\nAnswer: 2169*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105\/17561 + -1750669\/31399068. Find the common denominator of v and 151\/36.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76174209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18098749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 363\/6 + -4 - 3\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (504\/(-396))\/(14\/77)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) - (-5494)\/(-205)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j + 17. Let v be w(-2). Let p be (-294)\/v - 1\/9. Is -78\/7 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -399b02 (base 13) to base 8.\nAnswer: -5237662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 5:35 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.22913*1\nAnswer: -1.22913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 281 and -40965?\nAnswer: -11511165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**3 - 4*j + 7. Suppose -c = -6*k + 31, 60*k = 4*c + 64*k - 16. Let s(i) = i - 1. Determine c*u(b) - 5*s(b).\nAnswer: -8*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 325443 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 11:50 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbobbbbnb. What is prob of sequence bonb?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 121054c2?\nAnswer: -121054bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 + -1033212?\nAnswer: -1031320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v**3*x**2 + 3*v**3*x - 7*v*x**2 - 16*x wrt x?\nAnswer: -14*v**3 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1665180266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -57468581 rounded to the nearest 100000?\nAnswer: -57500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80223 - 46669. Calculate the greatest common factor of p and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m\/m**(-5))\/m*m)*m*m**(1\/2))\/(m*m**2)**(-20) assuming m is positive.\nAnswer: m**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682348 or -20?\nAnswer: -682348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) - -1*sqrt(8)) - -3*sqrt(10)\/sqrt(2) - (-1 + sqrt(125) + sqrt(125) + -4))**2.\nAnswer: -65*sqrt(5) + 945\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/51 and -10\/467721?\nAnswer: 467721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(6\/3237) + (-696)\/87 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/50775 or 1?\nAnswer: 2\/50775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:09 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.0381\nAnswer: -0.0381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let o(w) = -3 - 2 - 55*w + 1 + 20*w + 33*w. Give g(o(c)).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 6:29 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 + -374 - (0 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -653842?\nAnswer: -653842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -239456437.2053 and -5.5.\nAnswer: -239456442.7053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3021 + 102031?\nAnswer: 33010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 32*y + 112. Let z be n(-3). Solve -6*k = 2*k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*r**2)*(0*r + 6*r - r)*(-6*r + 2*r + 2*r + (-2*r + r + 7*r)*(-3 + 5 - 5)).\nAnswer: -300*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 34190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:34 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-1)\/1 + 1. Suppose 0 = 15*g - 12 - 78. Let j be 10\/g - 38\/(-114). Solve -p + j*p = 0, -p - 8 = -w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21\/117127?\nAnswer: -21\/117127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-4)\/1 + 4). Solve 0 = -4*n - 22 + g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiqihkhiii. What is prob of picking 1 i and 1 q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -35 - (-8 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.03 (c) 6 (d) -6 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836 greater than or equal to 2837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2. Let h = -35 + 38. Let w(j) be the third derivative of 0*j + 1\/30*j**5 + 3*j**2 + 0*j**4 + 0*j**h + 0. What is w(u(z))?\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10162 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1907*i**3*k**3 + 132*i**3 + 365*i**2*k - 1781*k**4 - k**2 wrt k.\nAnswer: -11442*i**3 - 42744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 != -23213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from ldvllw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53903 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -929\/120, 0.5, 1\/3?\nAnswer: -929\/120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/72 and -99\/26920.\nAnswer: 242280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 8*d - 9. Determine o(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6154 and 93602.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 - 236 = -5*f + 4*r, -10*f - 3*r = -64 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4800185 to the nearest integer?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l - 15366 = -15879 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:51 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrprrrkrrsrrsr. Give prob of picking 3 r.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 8\/3, 3.3, 0.3, 2, 39\/10, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x + 42*x - 27*x)*(-15 + 34 + 6)*(4 - 7 + 1).\nAnswer: -1150*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(665\/(-670) + 1). Let r = 203 + u. Solve 0 = -6*m - r - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 2110*n + 21 = 2111*n, -2*w = 5*n - 41 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2682 + 11777 + 74253 + 23859 + 16895)*(0*x + 3*x - 2*x + (x + x - x)*(-1 + 2 - 3) - 2 - x + 2 - 3*x + 2*x + 2*x) as v*x + k and give v.\nAnswer: -124102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 16. Let j = 26.055 + v. Round j to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2192 - -2144. What is the closest to h in -2\/3, 2\/9, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 23. Let v be z(-6). Let u be 2\/(-12) - 363\/(-18). Solve 4*p - 5*w = -13, 0*w - u = -v*p - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t**2 + 19*t**2 + 4*t**2)*(15*t - 5*t + 0*t).\nAnswer: 370*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4746 to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6752540.\nAnswer: 2, 5, 337627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101120 - -400320?\nAnswer: 255200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 359 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*p = 328*p - 766800. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 3 - (-10)\/(-5). Let w be (-18)\/(-4) - (-2)\/4. Sort u, w, -4 in descending order.\nAnswer: w, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1301848*k**5 - 5*k**3 + 2032*k**2 + 613*k + 51.\nAnswer: -78110880*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-21)\/(-9) + (-4)\/(-48)*-31?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*d - 1. Let z be d\/((-36)\/(-172)) - -5. Let b = 0.1 + -0.3. What is the closest to b in -2\/5, 8, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*m + 18 = -4*a, 2*m = -4*a - 4. Solve 4*z = -5*y + 5 + a, 3*z - 5 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 9*g + 4*p - 19, 19*g = 2*p + 49 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 + 52 - 70 + 20)*(3*n + n - 3*n).\nAnswer: 5*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21222 - 0?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 1. Let q(w) = -28*w - 7. Give -30*b(y) + 5*q(y).\nAnswer: -20*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/2 (b) -2511 (c) -0.933\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53287, -6, 0.4 in decreasing order.\nAnswer: 53287, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2379\/5 - 933\/2. Calculate the common denominator of 101\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 338.\nAnswer: 40222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 - 28*u - 129. List the prime factors of p(15).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1407\/(-1421) + (-1 - -2). Let f = k + -1031\/1624. Let l = f - -1\/2. Is -1 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29874 (base 14) to base 2.\nAnswer: 11001001100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)*b)**(2\/17))**(-41)*(b**5*b**7)\/((b\/(b*b**2))\/b**(1\/5)) assuming b is positive.\nAnswer: b**(2186\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102\/5*d**2 - 864*d - 2\/15*d**3 - 31104\/5 = 0 for d.\nAnswer: -72, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 11*z**8\/56 - 13*z**6\/30 + z**5\/5 + 11*z**4\/12 - 77*z**3\/6 + 4907*z. Find the third derivative of h(m) wrt m.\nAnswer: 1320*m**3 - 312*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/8)\/((-21)\/(-182)). Suppose -6*l + 4*l = -5*m + 21, -m - 4*l + y = 0. Suppose -4*a + 11 + 1 = 0. Sort m, 7, a in increasing order.\nAnswer: a, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 16 - 12)*(2*y - 2*y + y**3) + (1 - 1 + 2*y**2)*(-3*y + 0*y + y) - 3*y**2 + 3*y**2 - y**3 + 1 - 1 - 2*y**3 + y - 2*y**3 - y.\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9625 divided by 1925?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2 + 2*p - 2. Let i(w) = -2*w + 10. Let l be i(7). Determine f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:26 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 58418*f\/11 + 21240.\nAnswer: 2*(f - 29205)*(f - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 k(q) = -q - 3*q**2 - q + 3 - 3*q. Let n(t) = -11*t + 2*t - 5*t**2 - 2 + 7. Let z(c) = -4*c - 4. Let u be z(0). Give u*n(g) + 7*k(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.228 + -3.228. Sort -2\/5, 0.05, f, -0.3 in descending order.\nAnswer: 0.05, -0.3, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**4 - 1756*o**3 - 19920*o**2 - 70500*o - 70250 = 0. Calculate o.\nAnswer: -281, -5, -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*j**5 + 13*j**3 - 374*j?\nAnswer: -1380*j**3 + 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 18688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002326 to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1*-1*sqrt(99) + sqrt(99) + -3*1*sqrt(99))\/(sqrt(81)*5*-2).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Suppose -j*i - 75 = -9*i - 3*u, 5 = -u. Let x(b) = b + 15. Let w be x(3). Calculate the highest common factor of w and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = -3. Let t(v) = v**2 - 1. Let n = 3 - 1. Let z(y) = 20 - 5*y**n - 8 - 5*y**2. Give a*z(w) - 12*t(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 8752302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18)**(2\/83)\/(f**(-2\/53))**(18\/7) assuming f is positive.\nAnswer: f**(16344\/30793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + -2?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let f(o) = -102*o**2 + 11*o - 11. Let h(q) = -51*q**2 + 6*q - 6. Let t(c) = 6*f(c) - 11*h(c). Give p(t(l)).\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -7212 and -17197567.\nAnswer: -17204779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9352 and 2?\nAnswer: 9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 + 2*b + 1. Let q be j(-1). Suppose 3*x - 10 = q. Suppose 5*n - 14 = -m + 6, -n - 100 = -x*m. What is the least common multiple of m and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/2 + 2739*t**2 + 433291*t\/2 + 213906 = 0?\nAnswer: -77, -1, 5556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-225)\/(-10)))\/((-63262)\/(-6730))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 o when three letters picked without replacement from {o: 1, i: 1, k: 1, q: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 0. Suppose 4*z - 3 = -2*b + 13, 4 = -2*z + 2*b. Let j(l) = -z*l - 3 + 7 - 2. Determine j(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6) - (-8)\/(-24). Let w(j) = -6*j**2 + 2*j - 1. What is w(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 11*n**2 - 7*n + 11. Let q be i(-9). Suppose f + 3*f - q = 0. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00810592178 to 6 dps.\nAnswer: -0.008106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001564 (base 7) in base 4?\nAnswer: -130320023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 + 3*h - 6. Let y be v(-4). What is the units digit of ((-6)\/y)\/((-15)\/(-270))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 20 = 13*h, a = 4*h - 13. Suppose 0 = -4*b - w + 16 - 7, 4*b = -4*w + 24. Sort -16, b, a, -1 in decreasing order.\nAnswer: a, b, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veev when four letters picked without replacement from vvzzzzzvzvvvvzee?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3753 = -y, -3*y - 123*a + 11259 = -128*a. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11961 and 256497.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 50 + 28 + 3289*z.\nAnswer: 3289*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65531532 by -24244.\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 6. What is u(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2 - 3*i + 7*i + 3 - 1. Let d = 11 + -4. Is 16 a factor of r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1824*a*f**3 + 11*a*f**2 - 129926*a*f - 46*a - 66*f**3 - 3*f**2 - f - 3 wrt f.\nAnswer: 10944*a*f + 22*a - 396*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from qzzfqfqeqzqqffeqeqfq?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 6 - 7 - 3*x - x**4 + 0*x**4 + x**3 as h*x**4 + b*x**2 + u*x + v*x**3 + n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 339 - 392.4. What is q rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 345.9 * 4.\nAnswer: 1383.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5954*t + 208277. Determine j(35).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2576 or 1?\nAnswer: 2576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20334 less than or equal to 20335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*z = -133*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, -4\/7, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 161754653 - -114837\nAnswer: 161869490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.73, 29, 1\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (443 - 8 + 516 - 77)*(-2 + 35 + 3 - l) as a + c*l and give c.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-304)\/133))\/((-1596)\/19380)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000283224528 to 7 decimal places.\nAnswer: 0.0002832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 2*h**2 + 0*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-660)\/(-616))\/(3\/(-2))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 562.0032 + -562. Let c = 0.4968 + j. What is the biggest value in 0.3, 1, -3\/7, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10380*m = -10426*m - 2300 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -0*g - g. Suppose 8 = 4*c + 4*k, k = 2*c + c - 6. Let s(p) = 1 - c*p + g + 0. Calculate s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 3451.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**3 - 35*a**3 + 79*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 730497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + -2 + 84. Let w = -37 + q. Let f(n) = n**2 - 7*n - 6. Let i be f(-7). Calculate the highest common factor of w and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 3429*c**4\/4 - 905*c**2 + 6752. What is the second derivative of n(p) wrt p?\nAnswer: 20574*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640 - 4\/3*b**4 - 128\/3*b + 232\/3*b**2 + 20\/3*b**3 = 0. What is b?\nAnswer: -4, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 0. Suppose 12 = 3*y - p*y. Suppose 2*j = 2*a + y - 0, 2*j - 2 = 4*a. Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {w: 2, h: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -8 + (5 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*j - 179*j + 0*l = -8*l + 4 - 51, -3*j - 5*l - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3107*h**2 - 2642*h**2 - 1863*h**2.\nAnswer: -7612*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t. Suppose t = 4*c - 15 + 3. Suppose 0*k - 429 = 3*k - c*f, 2*k + f + 292 = 0. Round k to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:21 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 40) + -2 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 18}. What is prob of sequence xxx?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2949*g**2 - 2*g. Let p be w(-2). What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -165, -571, -1359, -2655?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -78.87.\nAnswer: 77.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 5, 20, -13 in descending order.\nAnswer: 20, 5, -13, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -29, -10511.\nAnswer: -10511, -29, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 574 and 3444.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64883 and 7895979?\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/12)\/t)\/(((t*t**(2\/3)*t)\/t)\/t*t))\/(t\/(t**3*t))**(6\/7) assuming t is positive.\nAnswer: t**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -305335?\nAnswer: -305351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244 + 246. Let x(k) = -k - 1. Let g(d) = -4*d**3 - 2*d - 2. Calculate w*x(r) - g(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from {r: 6, b: 10, i: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((403\/(-2678))\/31). Solve 2*o - 117 = -a for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**7\/5040 + d**6\/36 + d**5\/5 - 8*d**2. Let r(a) be the third derivative of i(a). What is the derivative of r(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-21))\/((-344)\/56 + 6). Solve 3*m = -r*u, u = 5*m - 2*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 357, 906, 1813, 3072, 4677?\n\"Answer: -x**3 + 185*x**2 + x + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 845261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 25.86?\nAnswer: 25.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806330 divided by 161266.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66698261 a multiple of 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24998.43 litres to millilitres.\nAnswer: 24998430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -1.9. Let x = -3 + y. Let f = -82347\/4 - -20586. What is the closest to x in f, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3)\/((-20)\/25 - -1). Let h be (-3 - (-279)\/15) + (-2)\/l. Determine b, given that 5*b**3 + 4*b**2 + 42*b + h - 10*b - 17*b**3 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*h - 55. List the prime factors of 112 - ((-15)\/h + -3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 + 745. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0*h + 3*h)*(0 + 0 - 2*h) - 3 - 2*h**2 + 3 + 2255 + 47*h**2 + 55*h**2 - 2258 as f*h**2 + r + z*h and give f.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 2 + -32 + 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000147888276 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 90. Let l(g) = 10*g + 270. What is 4*l(r) - 14*z(r)?\nAnswer: -2*r - 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, y: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**2\/2 + 5*j + 24. Give x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18425, -73624, -165621, -294416, -460009, -662400, -901589?\nAnswer: -1177576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 - 4 - f + 2. Let w(q) be the second derivative of 0*q**3 + 0*q**2 - 9 + 11\/12*q**4 - 5*q. Give i(w(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.6. Let j be ((-3249)\/57)\/((-3)\/(-2)). Let k be (1048\/j)\/(-4) + -6 - 1. Sort 3\/8, b, -0.2, k.\nAnswer: -0.2, k, b, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = i + 8. What is the common denominator of (i\/(-56))\/((-2)\/6) and 91\/282?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*c + 2*c - 2, 5*c = -y + 22. Suppose 2*x = x - y*z + 801, 4*z - 2411 = -3*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(6*11\/24222). Is a smaller than 369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2. Let u(m) = -m - 1. Let o(i) = 1. Let b(a) = 2*o(a) + 2*u(a). Let j(t) = t. Let v(x) = -b(x) - 6*j(x). What is q(v(w))?\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (345 - (1 - 2))*2\/(-4). Let u = x - -249. Are 75 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 - 4 = 0. Suppose -3*t + w = 4*g + 4, 4*g = 4*t + 8. Suppose -4*p + 26 = -2*d, 2*p - 4*d - 9 - 13 = t. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 1 (c) -1\/2 (d) 14 (e) -27\/26 (f) 2\/25 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**2\/2 + 567*h\/2 = 0?\nAnswer: 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 432016893 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3140 and 64841?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 19182*x\/5 + 683620.\nAnswer: -2*(x - 175)*(x + 9766)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10111110001001100101 (base 2) to base 15\nAnswer: -105b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-82)\/8. Let v = -4 - -8. Solve -2*f = v*n + r, -2*f = -4*n + 2*n + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 9*z - 4, 2*z - 26 = -b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*p - 6, -l + 4*l - 5*p = -15. What is the units digit of l + -4 + 726\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/153793 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.3633, -2\/13, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1653.5 - -1653.4999949895. What is u rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5524*r + 16451. Calculate p(3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 2:50 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 38*u + 7*u**2 - 31*u)*(-3 + 3 - 2).\nAnswer: -20*u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 + -298. What is the remainder when 54 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-3)*4\/(-50). Let s = i + 23\/60. Factor 1\/4*d**4 + s*d - 1\/4*d**3 - 1\/4*d**2 + 0.\nAnswer: d*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 58\/5 - 6\/(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040 and 12.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5751276966\nAnswer: 5751276964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*387\/(-26730) + (-108)\/(-1620).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37 + -0.03. Let r = 2.7 - 0.7. Which is the second smallest value? (a) f (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/42 - 5*f**3\/7 - 16*f**2\/7 - f - 15. Factor q(z).\nAnswer: 2*(z - 16)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + y + 8, y = 5*f - 26. Suppose -l = -f*l + 45. Solve o = 4*o + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 8*w + 3. Let v be g(8). Suppose -10*p + 11*p - v = 0. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 + -133.02. What is the closest to h in 2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1728)*-1*3 - sqrt(1728) - 3*-1*sqrt(1728))\/((sqrt(72) + sqrt(72)*1 + sqrt(72))\/sqrt(12)*-5*-4).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d + -d6?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229 - 173. Let y(f) = -2*f. Let z be y(-4). What is the greatest common factor of z and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 16*u**2 + 13*u - 51. Give p(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-2 + 2)\/1. Let m(z) = 34*z + 15. Let g be m(d). Suppose g = 2*t - p - 4*p, 4*p = 5*t - 335. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*y - 229*y = 12. Solve -n + y*n - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(8\/28) + -25 + 24. Suppose -5*v + 41 = -19. Let q = v - x. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w - 4. Let a be k(3). Suppose -4*i + 4*o = -i - a, -5*i + o = -32. Suppose 0 = -8*n + 21*n - 234. What is the greatest common factor of i and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-208)\/(-390))\/(6\/(-15)))\/(6\/(-90)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*1*sqrt(99)\/sqrt(3)*-1)\/(6*3*(sqrt(75) + 1*sqrt(75) + sqrt(75))).\nAnswer: -2*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0 - 5 - 7*c - 2*c**2 + 0*c**2 + 3*c**2. Is z(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 10*h**2\/9 - h\/3.\nAnswer: -h*(h + 3)*(3*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/3 - 179380*a**4\/9 + 1340775808*a**3\/9 - 893770816*a**2\/9 = 0.\nAnswer: 0, 2\/3, 14948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 1, z: 2, k: 1, e: 1}. What is prob of sequence kz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 148, 149?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.05544*-10861\nAnswer: 602.13384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*b - 0. Let h be -20*b\/12*1. Let g = h + 4. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 8*m - 63. Let b(j) = 6*j + 5*j - m*j - j. Let c(u) = 6*u**2 - u**2 - 6*u**2. What is c(b(d))?\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149, 297, 445, 593?\n\"Answer: 148*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by (-9860)\/(-220) + 2 + 40\/(-22).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 145 + 145.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2125*a**3 - a**2 - 4*a. Let z be c(-4). Round z to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 36.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 1, -86 in ascending order.\nAnswer: -86, -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 8:41 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*x - c - 6, -4*x = 3*c - 11. Calculate the lowest common multiple of x and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11508 and 6?\nAnswer: 11508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0441164 hours to minutes.\nAnswer: 2.646984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/29, 15, -0.2, -3?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919116573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, l: 3}. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -28*s**2 - s + 16. Let a(q) = 25*q**2 + q - 14. Calculate -3*a(n) - 2*o(n).\nAnswer: -19*n**2 - n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39398 - 11?\nAnswer: -393a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b7b (base 14) in base 8?\nAnswer: -164761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t - 5*t**2 + 10*t)*(-2*t - 1 + 1)*(-3*t**2 - 9*t**2 + t**2).\nAnswer: -110*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -71 + 52 + (-2 - 0 - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2340*h + 67607. Give x(-29).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4478 + 93*j**2 + 4478.\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 16. Let i(m) = m**3 + 18*m - 7*m + 3*m**2 - u*m - 2. Let t be i(-2). Put t, -4, 2 in ascending order.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.992 + -0.008. What is the fourth biggest value in -6, i, 5, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 32. Suppose 218 - 3 = 5*s + 4*c, -3*c = 2*s - 79. Let q = s + p. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181731 - 181787.9964. Let i = -69 + 12. Let a = i - k. What is a rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 6*p**2 - 15*p + 50. Let h be c(5). Which is bigger: 7\/37 or h?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*k + k**3 - 20*k**2 + k**3 - 143*k as p + q*k**3 + o*k**2 + z*k and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4056 and 4886466?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.2 + 12.15. Which is the second biggest value? (a) h (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27626.\nAnswer: 2, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40016 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3*j)\/(j**1*j)*(j**(-2\/19)\/j)\/(j\/(j*j**(-2\/3)\/j)*j) assuming j is positive.\nAnswer: j**(-44\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 102*y + 5 - 6.\nAnswer: -102*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06147? (a) 26 (b) 4 (c) -5 (d) 26\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9850389 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16828*x**2 - x - 128463 wrt x.\nAnswer: -33656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsssssffssszszffffz. Give prob of picking 2 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + t - 3 = 0, 152*m - 154*m + 5*t = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Calculate the remainder when 15 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 4, -16*j + 112 = 8*j - 4*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 5, -3, -0.1, -2\/3, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 2. Let x be r(2). Let m(g) = -4*g + 0*g + 1 + 3*g. Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28723.2mm in kilometers?\nAnswer: 0.0287232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92641157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 + 290*z**2 - 285*z = 0?\nAnswer: 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 327 = 6*h. Suppose -8 = -2*x + g, 20 = x + 4*g + 43. Calculate the lowest common multiple of x and h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 629 + -624. Let j = 29 - -9. Solve f*m + 13 = j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1027*q + 576 - 282 - 294 as o*q + p and give o.\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - z**2 + (2*z + 0 + 0)*(-3 + z + 3) + (3*z - z + z)*(-4*z + 2*z - z))*(118*z - 115*z + 2 + 1).\nAnswer: -24*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -14 - 27 - (51 + -49).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 19*w**5\/60 + 5*w**4\/6 + 20*w**2. What is the second derivative of p(a) wrt a?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27147 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 9. Let i be 2 - 0 - 0\/1. Let d be w(i). Suppose -2*o + d*o = -15, -2*b - 94 = 2*o. Which is smaller: b or -40?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 10}. What is prob of picking 4 c?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/5)*y)\/((y\/y**5)\/y))\/(y**(2\/13)\/(y**(-2\/3)*y)))**21 assuming y is positive.\nAnswer: y**(8981\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.302 - -0.102. What is the nearest to 1\/3 in r, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - a**3 + 15*a - 4*a**3 - 19*a.\nAnswer: -a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 - -2.09. Let m = w - 0.3. Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 1. Suppose -2*u = t - 0*t + 3, -2*u - 4*t = 18. Let x be p(u). Suppose x*b + 8 = 2*b. Solve 0 = -5*g - 2*w - 8, b = 2*g + 2*w + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 36*t + 1400. Let u be o(-32). Calculate the highest common divisor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -39. Suppose 7*o - 14 = -x*o. Factor 0*f + 0 + 2\/5*f**o.\nAnswer: 2*f**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 20*k**2 - 2*k + 41. Let s be l(20). Solve -3*c - s - 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -37.99977. Round w to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v*v**2)\/(((v*v\/((v**(-7)\/v)\/v))\/v)\/v**(1\/8))*(v*v**4)\/v*v\/(v*v\/(v*v**(-3)\/v*v))*((v*v**(2\/15))\/v)\/v**(-1) assuming v is positive.\nAnswer: v**(-1289\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 + 371*r**3\/4 - 8923*r**2\/2 - 4554*r.\nAnswer: r*(r - 44)*(r + 1)*(r + 414)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8862440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/(-8)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2 = 8*z. Let v = 20 + z. What is the least common multiple of 2\/(((-8)\/12)\/(-2)) and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*g - 567*g + 62*g.\nAnswer: -909*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u - 1697 + 1683. Let k(p) = -69*p**2 - 2*p. Give k(u).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -2. Suppose 3*r - f - 1 = 0, -2*r + 5*r + 2*f = g. Is (-4)\/r + 2 - -19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257268052204 + 4*u + 257268052204.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.5 (c) -18331.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n - 88. Let m(g) = -2. Calculate l(o) - 2*m(o).\nAnswer: -11*o - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/27)\/h**(-2\/11))**(1\/15) assuming h is positive.\nAnswer: h**(76\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4456320.\nAnswer: 2, 3, 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2888 - 2331. Let s = -2202 - h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4088 + -4085. Let u(d) be the second derivative of 10*d**3\/3 - 3*d**2 - 2*d. Let n be u(f). What is the highest common divisor of 135 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, x: 5, r: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15 + 177 + 228 + 563*p**2 - 95 + 262 wrt p?\nAnswer: 1126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 5*o - 14. Let w(d) = d**2 - 6*d + 13. Let z(q) = -7*a(q) - 6*w(q). What is the remainder when 79 is divided by z(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8741 < -8735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 10 (b) -0.2 (c) -6 (d) 3\/8 (e) -1\/197\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (2 + (1 - 2)). Let z be (-1 + -6)*(r - -3). Let y(l) = l**3 + 7*l**2 - 4*l - 6. Is y(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 3. Let d be m(0). Let t(x) = 27*x - 74. Let p(f) = 8*f - 24. Let c(y) = -14*p(y) + 4*t(y). Let z be c(8). Solve 0 = -5*k - z + d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 792 + 767, -3*p = -2*f + 8 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*l**3*y**2*z**2 - 3*l**3*y**2*z + 2*l**3*y**2 - 3*l**3*z + 17*l**2*y**2*z**2 - 2*l*y**2 - 32*y**2*z wrt z.\nAnswer: -86*l**3*y**2 + 34*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/89, 2, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4123446*a. Let g(h) = 17*h. Determine k(g(y)).\nAnswer: 70098582*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -18872, 4, -5 in increasing order.\nAnswer: -18872, -5, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1659 and 8092770?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911038*i + 986 = -911072*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1479 + -1474. Determine v, given that 2\/5*v + 0 + 3\/5*v**4 - 4\/5*v**3 + 2\/5*v**c - 3\/5*v**2 = 0.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 261 - 69. Suppose -3*u + l = -6. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(-1\/23)*(i\/(((i**0*i)\/i)\/i))**(-43))**(-2\/33) assuming i is positive.\nAnswer: i**(7913\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + 6 + -3 + 0 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -474 + 479. Sort 2\/11, 68, a.\nAnswer: 2\/11, a, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/172073 + 1231870571\/1032438. Let b = 2556 + -1370. Let a = o - b. What is the common denominator of 44\/5 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c - 3. Let r be f(-1). Let k(q) = -2*q + 4. Let a be k(3). Let i = a + 2. Solve 5*h + i = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-3))\/(-5 - 119\/(-21)). Let b be 0 + ((-25)\/5)\/i. Determine u, given that -b - 19\/4*u**2 - 1\/8*u**5 - 7\/2*u - u**4 - 25\/8*u**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(3*y + 2*y - 2*y)*(6*y**4 - y**4 - y**4 + (4*y**3 + 13*y**3 - 3*y**3)*(4*y + 0*y - 2*y)).\nAnswer: 96*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/70 - g**6\/10 - 3*g**5\/20 + 2*g**2. Factor r(u).\nAnswer: -3*u**2*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.04 + -26.2056.\nAnswer: -23.1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/34 - (-32)\/(-306)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -16. Let x = 20 + l. Solve 0 = -r + 4, -x*o - 4*r + 4 = -0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5686 less than 16807.18?\nAnswer: 16805.6114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37 and 443.1.\nAnswer: 406.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5088 and 117024?\nAnswer: 117024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11804\/25 greater than 473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2356\/11555 - 9\/2311. What is the closest to -3\/56 in w, 0.3, 4, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-4*j + 5*j + 0*j) + 0*j + 2*j - 3*j - 3 - j + 3 - j + 0*j - 2*j to the form o*j + b and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 609280 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30*(-10)\/3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 22*y + 13*y + 0.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -28. Let k = o + 35. Suppose 5*l = 5*x + 1265, k*l - 1265 = -3*x - x. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4530 and 6132110?\nAnswer: 18396330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from {y: 13, i: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 28. Let q be (m + 0 - 0) + (2 - -391). Suppose -2*d + 7*d = q. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.139 - 3.899. Round a to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161861868 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -9, -2*t + 3 = 2*d + 5. Suppose 4*x = -z + t + 11, -z + 10 = 3*x. Solve x*r - 4 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34200 is divided by 3043.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388\/(-582)*54\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z - 18*z = 68 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75265902?\nAnswer: 2, 3, 17, 163, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-560)\/42))\/((6\/(-500))\/((-14)\/35))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -5*u + 25, 0 = u - 5*c - 5. Suppose 35*m - 20*m**2 + 35*m**u + 10 - 5 - 55*m**3 + 10*m**4 - 15*m**3 + 5 = 0. Calculate m.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 - 8250450*c**4 - 17017497801485*c**3 - 68069628186460*c**2 + 476488750378140*c - 544558873591328 = 0. Calculate c.\nAnswer: -4125223, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 780 + -a1?\nAnswer: 6bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 58 + 2*i**2 + 27*i + 13*i as r*i**2 + d*i + g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211022230331222 - -3?\nAnswer: 211022230331231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**2 + 6*g + 1. Suppose 1 = 2*y - y. Let c(u) = 0*u**2 + 33*u - 4*u**2 - 34*u + 5*u**2 + 0*u**2. Calculate y*i(p) + 6*c(p).\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2022 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2, 3, -16, 5 in decreasing order.\nAnswer: 5, 3, 2, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25)\/j)**48*j**(1\/18)\/(j\/j**(-1\/5)) assuming j is positive.\nAnswer: j**(-112423\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -q - 7, 5*x - 9 + 0 = 3*q. Suppose -27 + q = -5*f. Let a be (-13*(-1)\/f - 3)*-390. Calculate the highest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3418911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + i - 990 = 0, -2*i - 1520 = 4*v - 200. Is -326 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6218 and 6434.\nAnswer: 20003306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 10*c - 1. Let p(g) = -18*g**2 + 48*g - 7. Let f(h) = -p(h) + 5*x(h). Let a(m) = 168*m**2 + 27*m + 27. What is 2*a(k) - 27*f(k)?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 5446\/(-28) + 3\/(-2). Let l = y + 252. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6242 - -187241\/30. Calculate the common denominator of 17\/684 and p.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + 36. Suppose -2*b + f = -0*b. Calculate the remainder when 142 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -224046567 - -2?\nAnswer: -224046565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k**2*w + 7*k**2 - 10458*w**2 - 790 wrt w.\nAnswer: -6*k**2 - 20916*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, 3\/17, 0, -2\/7 in descending order.\nAnswer: 189, 3\/17, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545 + -1341401?\nAnswer: -1342350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 385.21845 milliseconds?\nAnswer: 0.000004458546875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:32 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 - 6*f**2 - 111*f - 410. Calculate the remainder when m(-4) is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1634164995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a = 72, 0*c - 2*c + 68 = -a. Let l be 45040\/144 - (-220)\/99. What is the greatest common factor of c and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7194385 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 - ((-46 - -26) + (1 - (4 + -11)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 282718 - 3107139\/11. Let z = 251 - x. What is the third smallest value in 4, z, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3401, -3430, -3453, -3470, -3481?\n\"Answer: 3*x**2 - 38*x - 3366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -24*p - 3 - 8*p + 29*p. Let n(i) = -i**2 + 5*i + 5. Suppose -5*m - 2*q = 7, m + q - 2*q + 7 = 0. Determine m*n(o) - 5*j(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26684486?\nAnswer: 2, 13342243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/474 and 34\/869?\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1521592 and 43\/2092189.\nAnswer: 16737512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -5, -68996\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 2144*g + 8596. Give t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43589848, 43589827, 43589786, 43589719, 43589620, 43589483, 43589302?\nAnswer: 43589071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 15*a + 56. Let q(w) = -w**2 + 1. Let b(k) = -m(k) + 3*q(k). What are the prime factors of b(16)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 77891*n. Let b(q) = 673*q**2. Determine p(b(o)).\nAnswer: 52420643*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-17)\/r*r))\/r**(1\/5))\/((r*r**(1\/2)\/r)\/(r\/r**(-4\/13))) assuming r is positive.\nAnswer: r**(2289\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -57, -85, -113?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12 + 8. Let q be 35\/(-15) + g\/3. Let m = 38.7 - 38.5. What is the closest to q in 0, -0.7, m?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4160 and 4925960?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.678 minus -2811?\nAnswer: 2810.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9936 is divided by 354?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283848129.000074 + 283847657. Let p = -472 - z. Round p to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose -3*r + 8*r + 20 = 0, -24 = -z*h - 2*r. What is the least common multiple of h and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.35 (b) 4\/5 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/1020)\/((2*1)\/(-10))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 + 88. Let n = b + 81. Calculate the greatest common factor of n and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*l - 1157 - 2171 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 - 15*z**2 + 10*z**2)*(508*z**2 + 302 - 302) to the form a*z + l*z**2 + j*z**4 + m*z**3 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12727 + 19916. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:34 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -3*h**4\/4 - 44*h**3\/3 + 82*h**2. Let m be s(-5). Solve -2*z = -7*z - f + 9, -8 = -m*z + 4*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1300 and ((-285)\/(-300))\/(26*3\/21).\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -492*d**2 + 4281*d**2 - 41*d**3 + 45*d**3 - 118*d**2 + 689*d**2 as j*d**2 + k*d + z*d**3 + p and give j.\nAnswer: 4360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -139\/2 in -129, -0.2, -0.4?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 2624?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(((t\/(t\/t**23))\/t)\/t))\/t*t)\/(t\/(t*t\/(t*t\/t**(1\/27)))) assuming t is positive.\nAnswer: t**(-539\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-1106)*6\/15\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9406 (b) 0.1 (c) 1\/17 (d) 1 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 13. Suppose 0 = 3*c + 21 + 12. Calculate u(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183 and 12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -q + 46. Let u(c) be the first derivative of 15\/4*c**4 + 0*c**2 + 11 + 0*c**q + c**5 + 0*c. Factor u(h).\nAnswer: 5*h**3*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 - 4*y + 1. Suppose -8*h = -2*h - 24. Let b be x(h). Solve -5*n - m = b, 6*m - 1 = -2*n + 3*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 51984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 126*g + 780. Let k be f(-23). Sort k, -3, 2, 179, 5 in decreasing order.\nAnswer: 179, 5, 2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -23. Suppose 0 = -y + 9 + 24. What is the greatest common factor of w and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2782, -2789, -2796, -2803, -2810, -2817?\n\"Answer: -7*r - 2775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 13. Let y(u) = -6*u - 24. Let c(m) = -5*p(m) - 3*y(m). Calculate c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c*c**8\/c*c)**32 assuming c is positive.\nAnswer: c**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 + 0.5708\nAnswer: -4.2292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-614)\/(-6) - (-1)\/3. Let o = c - 701\/6. What is the common denominator of o and (-3)\/((-12)\/94)*6\/(-30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126299, 252707, 379115, 505523?\n\"Answer: 126408*z - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 7*f**2 - 4*f + 6. Suppose k = 1, -7*c + 15 = -5*c + 3*k. What is l(c)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let s(w) = 3*w + 2. Let g be s(-2). Let d be v(g). Which is the third smallest value? (a) 1\/2 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 5, 2\/9, 47753, -1\/8, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 1, h: 3, i: 7, w: 1}. What is prob of sequence ir?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7899818 plus -1.4781?\nAnswer: -4.2680818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 1194*j**2 - 19960*j + 57663. Give b(-1177).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1426237*s**5 - 22*s**4 - 2*s**2 - 365*s + 94680?\nAnswer: -85574220*s**2 - 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q + 3. Let o be z(-3). Suppose o*g - 85 = g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*n**3 - 19*n**3 + 740*n**2 + 80*n**3 - 11*n**3 - 33*n**3 - 106032 + 33088*n.\nAnswer: 4*(n - 3)*(n + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27220 - 27225. Sort 664, q, 4, 1\/9 in increasing order.\nAnswer: q, 1\/9, 4, 664","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - (-25)\/(-42). Suppose -8 = -2*x + 3*t, 0*t + 5 = -3*x - 4*t. Is x bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 5*z**2 - 2*z + 20. Let j be d(5). Suppose 0 = j*t - 4*t - 2226. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 + 36*r - 49. Give m(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 + 3*v**4\/8 + 2*v**3\/3 - 4*v**2. Calculate the least common multiple of p(9) and 1 - (0 - 0\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-9 + (-23 + 14 - -20)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17306 + 64505. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -198, -1 in descending order.\nAnswer: 3\/8, -1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/6 + 125*f**2\/6 + 500*f\/3 + 1250\/3.\nAnswer: 5*(f + 5)*(f + 10)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10)\/(180\/(-80))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**3\/4 - 103*p**2\/2 + 182*p + 144 = 0?\nAnswer: -72, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30479 = 2*u + 5*g, 3*u + 79*g - 45781 = 84*g. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5460 and 273.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 719 - 486. Calculate the remainder when f is divided by ((-385)\/(-25) - 15)\/((-8)\/(-1180)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 2, x: 1, v: 1}. Give prob of sequence rgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 35. Let o = l - 15. Let c(y) = 26*y + 2. Is 7 a factor of c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 - 12*l - 1. What is m(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2*g**5\/5 + 49*g**4\/2 + 47*g**3\/3 - 19*g**2\/2 - 901. Find the third derivative of q(r) wrt r.\nAnswer: 48*r + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*g - 8. Suppose v = -3 + g. What is the remainder when 14 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 238048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 22*k - 10. Suppose 15*y - 190 = k*y. Suppose 4*c + y = 3*j, 4*j + 36 = 4*c + 92. What is the least common multiple of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -2*b - 2174, 3*b = 3. Suppose -4*k + p + 1712 = 0. Suppose -10*i + k = -566. What is the remainder when i is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 120. Are 16 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0)*(-3 - 2*u + 3) - 2762*u - 2449*u - 1257*u in the form q + t*u and give t.\nAnswer: -6462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 27226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.1 (b) -3 (c) 53 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(252)*-5)**2.\nAnswer: 2041200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:30 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1701852 - 4?\nAnswer: 1701848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/9 (b) 113 (c) 2\/13 (d) -0.5 (e) -3 (f) -19.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*p, 5*a - 13*p - 58 = -9*p. Let x(b) = -b**3 + 13 - 3*b - 9*b + 11*b**2 + b. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*t**3 + 2*t - 3*t**3 - 3*t - 2*t wrt t?\nAnswer: -90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1817, -1808, -1785, -1742, -1673, -1572?\n\"Answer: a**3 + a**2 - a - 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03147 and 0.0635?\nAnswer: -0.001998345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318825266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r. Suppose r*c + 2*c = 4. Suppose -c*v + 56 = 2*v - u, -u + 64 = 4*v. Calculate the remainder when 29 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 45*i**2 - 9. Let b(h) = -11*h**2 + 2. Give 9*b(z) + 2*p(z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*d*j*x**2 + 56*b**3*d*j - 2*b**3*j*x + 2*b**3*x - b**2*d + 7*b*d*j*x**2 + b*d*j*x - d*x**3 wrt x?\nAnswer: -4*b**3*d*j + 14*b*d*j - 6*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -465, -1022, -1667, -2394, -3197, -4070, -5007?\n\"Answer: b**3 - 50*b**2 - 414*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 0 + 5)*(-3*x + 5*x - x) + 2*x - 5*x + x + 0*x - 4*x - x)*(3*x**3 - 2*x**3 + 0*x**2 + 6*x**2) to c*x**3 + o*x**2 + r + a*x + b*x**4 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 3*s**2 - s + 2. Let x be k(-3). Suppose 3 = -x*j - 3*h, -4 = 2*h + 2*h. Suppose -12 = -j*p - 3*p. Solve p*z = -z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 1:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*o**4*x + 2*o**4 - 8*o**3*u**2 - o**2*u*x - o**2*x + 5*o*u**2*x + 7*o*u wrt o?\nAnswer: -432*o*x + 48*o - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8592822 and 146076?\nAnswer: 635868828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 - -263. Suppose 2*u - l = 0, -34*o = -33*o + 2*u - 8. Let c(y) = -y**2 - y + 2. Determine c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i - a - 5, i + 3*a = 2. Suppose 7*s - 35901 = -i*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 303432.318 minutes?\nAnswer: 30.1024125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let r(f) = 2932*f**2. Give r(h(z)).\nAnswer: 11728*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7073137 is divided by 544055.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40556017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1738\/174 - (-112 + (-76 - -198))?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-48)\/10 + (-18)\/6)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(4050)*2 - sqrt(4050) - sqrt(4050)) + -4 + -2*sqrt(4050) + sqrt(4050) + -2)*-1 + 5)**2.\nAnswer: 1260*sqrt(2) + 4246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.9 in 3, -12, 51\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + sqrt(2)*-2) + 2*sqrt(32).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -895962, -896161, -896360, -896559?\n\"Answer: -199*x - 895763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + 146 + -92 - -14.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 24 = -g. Suppose -2*u + g = 5*u. Suppose -u*o + 182 = -31. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*d - 762, 0 = -3*d + 2*d - 4. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 154 = 4*u. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333045567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 86 + 9 = 0. Calculate the remainder when o is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 13 + 20)*(2*o - 3*o + 3*o).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - (8 - (-5 - -15 - 5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4533 = -8*j + 4003. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -92.143. Let k = -0.643 - l. What is the nearest to -0.1 in k, 0, 6, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r = 14794 - 8562 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l + 21*l - 7 + 28*l + 4*l**3 - 72*l to f*l**3 + d*l**2 + v + g*l and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709490129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44 - 28*c**2 + 22*c - 14*c + 44.\nAnswer: -4*c*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2070)\/(-50))\/(-23))\/(9\/6)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times -0.286\nAnswer: -0.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/119 + 5\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2261*p + 560710. Determine u(248).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -15*s**2 - 13*s**2 + 5*s**2. Let b(f) = 5*f. Let t(y) = 3*y**2 + 5*y. Let i(j) = -b(j) + t(j). What is i(p(q))?\nAnswer: 1587*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 54\/10)*45. Calculate the least common multiple of 165 and (8 - 10)*(3 - d\/(-4)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -17 + 2 + -1 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -97c43b (base 15) to base 10\nAnswer: -7230206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2 - 4) + (-12 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 35. Let w be r(-12). Suppose 5*t = 4*t. Suppose 0*i - 2*i - 10 = 0. Which is the nearest to w? (a) -1\/5 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26613486*c**2*h**5 - 27*c**2*h**2 - 2*c**2*h - 8*c*h**2 + 24*h**2 - h + 9 wrt h?\nAnswer: -1596809160*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 262627444 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -24041*h**2 - 47. Let w(s) = 10*s**2. What is t(w(f))?\nAnswer: -2404100*f**4 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398 + 19*b**5 + 394 - b**4 - 789 - 5*b**2 wrt b?\nAnswer: 1140*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2. Let h(j) = j**3 + 2*j**2 - j. Let y(m) = -2*f(m) + h(m). Find the second derivative of y(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - m = -4*m - 7, 4*t - m = 19. Let c be 185\/35 - (-2)\/(-7). Suppose 5*q + t*r = 660, -c*q + 624 = -r - 30. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - 6*n**2 + 2*n**2)*(1 + 2 - 1199*n - 4 + 1) as u*n + k*n**3 + m + i*n**2 and give k.\nAnswer: 3597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -2*d**3 + 22*d. Let j(c) = 5*c**2. Calculate j(i(l)).\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*j**3*u**3 - 9*j**3*u**2 - j**2*u**3 - 2*j**2*u**2 + u**6 + 3 wrt u?\nAnswer: 1902*j**3 - 6*j**2 + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-720.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 27.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3172*c + 587. Let k(q) = -3171*q - 685. Determine -7*h(y) - 6*k(y).\nAnswer: -3178*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-48)\/(-96))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -2*x + 3*v, -6*v - 8 = -4*v. Suppose 3*a - 2*u = 51, -u + 8 = a - 4. Calculate the highest common divisor of x and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14677 and 21375357.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52877, -105790, -158775, -211868, -265105?\nAnswer: -318522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2893818 bigger than -2893767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*(-20)\/(-130))\/2\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11830, -11814, -11776, -11704, -11586, -11410?\n\"Answer: 2*t**3 - t**2 + 5*t - 11836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2324.077 - -2323. Round m to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 468, 699, 928, 1155, 1380, 1603?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5493 = 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2 + 0*u - 2\/3*u**3 - 2. What is the second derivative of n(z) wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 16. Suppose 0 = -0*m - m - 3*r + 4, -2*r - 8 = 2*m. Let j be w(m). Let b(v) = -v**2 + 39 + j*v - 2*v - 37. Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -938.\nAnswer: -1\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18\/13, 1.4, 2\/3, 1?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -675*t - 566*t - 3858*t - 1645*t as j + u*t and give u.\nAnswer: -6744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 3*d + 4*d)*(d - d + 2*d**2) + 4*d + d**3 - 4*d + 7*d**3 - d**3 - 2*d**3 + 4*d**3 - d**3 - 5*d**3)*(1 - 1 - d).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = j - 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/3 - 20*u**4\/3 + 58*u**3 - 280*u**2\/3 + 128*u\/3 = 0. Calculate u.\nAnswer: -16, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-112) + 43\/7. Suppose 2*f - 3*p - 433 = -m*p, -427 = -2*f - 5*p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23788083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 49 - 21. Let w be d\/(-3) + 2\/(-3). Solve 14 + 2 = w*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1072 + -948. What is the remainder when n is divided by 73?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93724, -93708, -93682, -93646, -93600, -93544, -93478?\nAnswer: -93402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 3. Let n be s(5). Let o(b) = b**2 - 5*b + 2. Let j be o(3). What is the units digit of 2 + j + (n - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -134. Let v = 173\/3 + i. Which is the biggest value? (a) -3\/5 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 31*z**2 + 5*z - 141. Calculate g(31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 10 - 11 + c)*(-3 + 1 + 0 + (-2 + 1 + 2)*(-4 + 2 + 0)).\nAnswer: 12*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/6)\/((8 + -2)\/(-576)). Calculate the greatest common divisor of 96 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43828223 rounded to four dps?\nAnswer: 0.4383","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 7*i**3 + 0*i**3 + (5*i + 0*i - 3*i)*(i**2 - 3*i**2 + i**2))*(0*i + 2*i - 5*i).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + 1 - -3 - (270 + -246 + -5).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -3*r**2\/2 + 2*r - 170. Let c be 3 + 8*(-3)\/3. Let m be 1\/2 - c\/2. Determine o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-10)*(-8)\/(-6). Let r = 633 + -633.4. Do d and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -10, -3\/5, -2\/3 in descending order.\nAnswer: 0.1, -3\/5, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - n = 4*t + 11, 0 = -3*t + n - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-300)*(6032\/286)\/(-29)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 202200011110100?\nAnswer: -202200011110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230748 by -804.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a + 791994 = 2*v, 198006 = -a - 2*v. Round a to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/3 - 1297*n**4\/3 + 2590*n**3\/3 + 2*n**2\/3 - 2591*n\/3 + 1295\/3 = 0.\nAnswer: -1, 1, 1295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**3\/3 - 6. Let x(m) = 7*m**2. Give x(t(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z*z**(1\/3)\/z))*z)\/z)\/(z*z**(-6))*z**(2\/11)\/(z\/(z\/((z\/(z\/z**(2\/21)*z))\/z))) assuming z is positive.\nAnswer: z**(1945\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozooozzzkzo. Give prob of picking 2 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -91*a**3\/3 + 72. Let q(x) = 2*x**2. Give y(q(o)).\nAnswer: -364*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 3*d**5 + 2*d**5 + (2*d**3 - d**3 + d**3)*(-d**2 + 5*d**2 + d**2).\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 33, 2, -10\/7, -2\/17 in ascending order.\nAnswer: -10\/7, -2\/17, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*16\/(-48)*(-1)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 10*x**2 + 9. Let r be k(10). Is r at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.106 + 2.11619. What is i rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -2619 (c) -0.63 (d) 3 (e) -0.4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5074.042 micrometers?\nAnswer: 0.5074042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29123934.\nAnswer: 2, 3, 7, 23, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a + 3*a)*(2 - 2 - a**2)*(a + 0*a - 7*a).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*a - 16, 2*n - 4*a = -n - 9. Let d be (-1 + 1)*(-1)\/n. Let l be ((-20)\/4 - -6)\/((-5)\/(-10)). Put -2, l, d in decreasing order.\nAnswer: l, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 71. Let i be 47\/(-2) + z\/(-42). Which is bigger: i or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 5, v: 11, g: 1}. Give prob of picking 2 v and 1 q.\nAnswer: 275\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h - 54 + h**2 + 57 - 9*h. Let i be y(9). What is the units digit of 2*-3*(1 + (-38)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/405 and 47\/270?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*u + 22, -3*w - 1 = -2*u - 6. Let z = 3 - -2. Suppose z*g + 3*c = 39, -9 = -u*g + 3*g - 5*c. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2 + 3) + 70 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7467 + 7464. Which is the smallest value? (a) 2882 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 + 6*i - 6. Let z be 0 + -1 - (-5 - (-4)\/4). Let u(j) = 7*j + 0*j**2 - 7 - 5*j**2 + 0*j - z*j**2. Give -7*g(m) + 6*u(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 203*c + 201*c - 404*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/5, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2926, 11683, 26210, 46447, 72334, 103811, 140818, 183295?\n\"Answer: -10*u**3 + 2945*u**2 - 8*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/16837 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4789.551 weeks?\nAnswer: 48278674.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4569.209 meters to nanometers.\nAnswer: 4569209000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n - 4*n - 3*n + 0*n + 5*n + (-1 + 3 - 1)*(0 + 0 + n) + (-1 + 5 - 2)*(0*n + 2*n - 5*n).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8881903 rounded to the nearest 100000?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/6 - v**3\/2 + 4*v**2. Let r be (0 + (-14)\/(-2))\/1. Let j(d) = 9*d - 7. Calculate r*z(u) - 3*j(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r + 4*d - 52 = -153*r, 4*r - 2*d = -26 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/1055769 and -49\/27071.\nAnswer: 1055769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 - 210*b**2 + 3515*b - 3300 = 0. Calculate b.\nAnswer: -55, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1002472*q + 3278. Let j(o) = 1224*o + 4. Give -6*d(u) + 4917*j(u).\nAnswer: 3576*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -188*n**2\/7 - 58243888*n\/7 + 4956928\/7 = 0. What is n?\nAnswer: -309808, 4\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/8*t**3 - 81\/4 + 153\/8*t - 21\/4*t**2 = 0. What is t?\nAnswer: 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*48135)\/(-6) - -12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:03 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43534283.\nAnswer: 13, 223, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 9, 35, 81, 153, 257?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12253\/542 - 29\/271. Factor 0*o**2 + 0*o + 0 + 33\/2*o**4 + 3*o**3 + x*o**5.\nAnswer: 3*o**3*(3*o + 1)*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1374590 + 9293454.\nAnswer: 10668044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 4*k**2 + 4*k - 11. Let o be z(5). Let y = -714 + o. Let l = y - -497. Is 35 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 - 5. Let j = -0.6 + g. Let p = 1.043 - 0.243. Which is the closest to j? (a) 2\/5 (b) 1\/8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.370459g to kilograms.\nAnswer: 0.000370459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8867\/9 - 985. Sort 7, 0.5, -2, i in increasing order.\nAnswer: -2, i, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/16)*u)**41*u**(-9)*u\/((u\/u**(-44))\/u) assuming u is positive.\nAnswer: u**(-135\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2268*a - 6344. Calculate the lowest common multiple of p(-10) and 16.\nAnswer: 16336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3796537mm?\nAnswer: 0.0000003796537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4461, 9703, 14945, 20187, 25429, 30671?\n\"Answer: 5242*c - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 32*t + 196. Calculate s(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + f + 2 - 9*f + 24*f.\nAnswer: 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 + 5*u**3 - 86 + 0*u + 4*u**2 + 0*u in the form j*u**2 + g*u + h*u**3 + x and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7879*c = -269701 - 15691 + 50007 - 95533 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - 2*m)*(7*m**2 - 5*m**2 + 16*m**2).\nAnswer: -54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3009*f**3 + 3019*f**3 + 3029*f**3 - 9054*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (108\/(-30))\/(34\/68*4\/(-5)). Let j = 56 - 26. What is the derivative of 45*t - 15*t - j - n*t wrt t?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6286 is divided by 6267.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3822 + 10419 = 0. Suppose -13*q + n = 1211. Calculate the greatest common divisor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10846.\nAnswer: 2, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614 + 1323. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131 or -0.168845?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 810?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 203, 542, 1017, 1628, 2375, 3258?\n\"Answer: 68*j**2 - j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -588508974616 + 1.7\nAnswer: -588508974614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1 - (7\/(-21) - -1). Which is the second biggest value? (a) w (b) -6 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129115, -258203, -387291, -516379, -645467, -774555?\nAnswer: -903643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 - 2*p - 2. Let v(t) = -t**2 - t. What is -2*v(k) + 2*y(k)?\nAnswer: -8*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222042638 is divided by 3940.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-5 + -59))\/(7\/133) and -41\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 30, 40, 62, 102, 166?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 10. Let v(h) = 3*h - 30. Let r(w) = -8*b(w) - 3*v(w). Let m be r(10). Put 4, m, 6 in descending order.\nAnswer: 6, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114507976 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**3\/6 + 641*w**2\/2 - w. Suppose 0 = 582*q - 578*q. Is r(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -24*v + 30*v. Solve 0 = c + v, -14 = -u - 4*c - 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3582*d - 2*n = 3584*d - 20, 4*n - 43 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 811595 and 15170?\nAnswer: 1623190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.9024 * -0.2\nAnswer: 0.38048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(((-104)\/117)\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 98c10 - 267?\nAnswer: 98976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.5 times 9029?\nAnswer: -600428.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:00 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (1 - (-1)\/(-1)). Let w = -0.9 + 0.8. What is the third biggest value in w, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 50, 132, 260, 440, 678, 980?\n\"Answer: a**3 + 14*a**2 - 7*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 388*i**2\/3 - 782*i\/3 - 392\/3.\nAnswer: 2*(i - 196)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 28 = -5*d, -2*p + 11 + 1 = d. Suppose 0 = -p*r - 3*r + 27709. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -788, -3217, -7282, -12983, -20320?\n\"Answer: -818*l**2 + 25*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bff04 (base 16) in base 6?\nAnswer: -141444432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2*k**6\/75 - 2*k**5\/25 + k**4\/5 + 8*k**3\/15 - 8*k**2\/5 - 5*k - 6. Let b(c) be the first derivative of r(c). Factor b(n).\nAnswer: -4*(n - 1)**2*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 7*r**2 + 12*r**2 + 3683*r**3 - 3685*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 499408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.78229\nAnswer: -3.91145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((45\/30)\/(6\/8)). Solve q = -w + 3*p - 2*p + 7, 0 = -w + 3*p + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mytytr. Give prob of picking 2 y and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 - p**2 + p + 1. Suppose 3*n + 2 = -5*d, n + 2 = -4*d - n. Calculate the smallest common multiple of b(d) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-45)*h*h*h*h**(-5\/6)*h*h*(h**(-6)\/h)**(-28) assuming h is positive.\nAnswer: h**(931\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8532)\/(-234))\/(-79)*(-3)\/((-135)\/(-10))?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1831 divide 18381409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -257.\nAnswer: -13\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 24*b + 23*b - 76 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 20, -4*q = 4*v - 204669 - 90315. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25878 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7095, 7160, 7225?\n\"Answer: 65*c + 7030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*j = -3*z - 108*j + 5, -5*z = -5*j - 35. Solve -4*w - z*p + p = 0, -10 = -2*w + 3*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.8. Let w = g - 4.8. Let q = 27 + -187\/7. What is the biggest value in q, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 7. Let z be g(-5). Let r = 74 + -73. Let v = r + z. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 - v**2 + 1. Factor w(t).\nAnswer: -t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 17*s**2 - 114*s - 92. What is f(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 5. Suppose -3*g + 0 + a = 0. Solve 7 - 29 = 2*m - 3*s, g*s - 32 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -o, -3*o + 25 = -2*r + r. Suppose a - o = -a. Let j(z) = z**3 - 4*z**2 + z - 4. Let h be j(a). Calculate the highest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 24 - (-3 - (3 + -4 + -5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**7\/3360 + 11*j**6\/1440 + j**5\/12 + j**4\/2 - 16*j**3\/3 + 72*j**2. Let f(s) be the first derivative of i(s). Factor f(g).\nAnswer: (g + 3)*(g + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(272)*-1)*6)**2.\nAnswer: -864*sqrt(17) + 10116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.035 + 0.045. Let u = -0.02 - g. Let b = u - -3.1. Does b = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1231343?\nAnswer: -1231350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7\/((-63)\/(-6))*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 604257 and 264423?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001198464 rounded to 7 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1812 (b) -17 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + v = 4*v - 12, 4*v = 16. Suppose -8*l + 116 + 92 = x. Calculate the greatest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1 - 2 - 1 + 1 + (6 - 2 - 2)*(1 - 1 - 3))*(2*o - o - 3*o).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 0 - (-6 - -1). Suppose r*u + u = 5*o - 830, 3*o + 342 = -2*u. List the prime factors of u\/(-27) - 4\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Suppose o*q - 46 = -k + 36, 0 = -4*k - 12. Let r(t) = -t + 3. Calculate the remainder when q is divided by r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0174 + -0.1174. Let z = -0.07 - 0.03. What is the nearest to i in -2.8, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200)*2 + sqrt(200))\/sqrt(4) - sqrt(50))**2 - sqrt(50).\nAnswer: -5*sqrt(2) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 119932.56 plus 0.402335?\nAnswer: 119932.962335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12375*t - 1932*t - 11802*t + 1 + 7509*t to the form j*t + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1278, 2555, 3832, 5109, 6386?\n\"Answer: 1277*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272340.\nAnswer: 2, 3, 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37176332242.56 + 37177924492.659999. Let p = 1592242.1 - t. Let f = 8 + p. What is f rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 111588*d**2 + 34816791*d - 2727313254.\nAnswer: 3*(d - 36882)*(d - 157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*w, 5*w = 3*t - 5 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*h - 157. Let a = h + -37. Solve 0*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15*65\/117.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11327 - p**2 - 11327.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - x + 6 = 0, -5*w = -4*x - 1 - 1. Let b(m) = m**2 + 19*m + 64. Let a be b(-15). Solve -a = -w*r - 0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145708282?\nAnswer: 2, 647, 112603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74 or -228.8?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**2 - 85*h**3 + 14*h - 18*h + 5*h - 3*h**3.\nAnswer: -88*h**3 + 16*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/((-13)\/12 - -1). Let l be 4\/14 + o\/7. Let n be (-4)\/10 - 44\/l. Is n >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14627852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849250584.\nAnswer: 2, 3, 7, 13, 227, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -1\/3 (b) 6 (c) 7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + -24)\/((-1)\/19 - 0). Suppose 0 = -24*r + 28*r - f. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 41834736*w**2.\nAnswer: -3*w**2*(w + 13944912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (719*s - 424*s - 792*s - 260*s)*(-5*s**2 + s**2 + 3*s**2)*(1 + s - 1).\nAnswer: 757*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1587 - -2347. Is 76 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -739*g + 1. Let u(d) = 4*d. Give l(u(w)).\nAnswer: -2956*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 - 9*a**2 + 3*a - 7. Let w(g) = 5*g**3 + 9*g**2 - 4*g + 8. Determine 6*r(c) + 5*w(c).\nAnswer: c**3 - 9*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:01 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20352610 + -105?\nAnswer: 20352503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t - 1. Let i be 7 + (-4 - t - -3). Put 2, 3\/4, i in ascending order.\nAnswer: 3\/4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16*(-108)\/(-1152))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-288)*49\/(-42)*48\/84\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 707833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1128483 to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67053422*x**3 - 188628845.\nAnswer: -201160266*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7*y - 6 = 0, 6*f - 4*y = f + 30. Calculate the remainder when 46 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507571 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-340605)\/189225)\/((-6)\/40).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0. Let a = -11 - -6. Let z = a + 3. Are j and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/23)*g\/((g\/g**0)\/g)*g*g**(1\/6)*g*g*g\/g**(-9) assuming g is positive.\nAnswer: g**(1967\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + 5. Suppose -4*s = 2*w + 12, -9 = 3*w + 3*s - 0*s. Suppose w = 3*v + v. Give i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39639 + 39924. Solve 0 = 24*l - m + 309 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 25*n - 1169. Let q be w(24). Solve 4 = -2*f + 2*c, 2*f + 0*f - 5*c = -q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25498 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 6 - 3) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5179200948.00000655 + 5179201084. Let q = x + -136. Round q to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275a78 (base 12) to base 4\nAnswer: -2133122330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i. Let n(p) = -9*p**2 - 5*p. Let o(t) = 13*t**2 + 7*t. Let b(a) = -7*n(a) - 5*o(a). Determine b(w(s)).\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/2 + 4*d**3\/3 - d**2 - 304. Determine n(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42391.2 times 82?\nAnswer: -3476078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10903750*a*f**2 + 4462*a*f + 5*a + f + 9 wrt f.\nAnswer: -21807500*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:21 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*r*z**3 + 10*l*r*z**2 - l*r*z - 2170*l*z**3 + 10*l*z + 122*r*z**3 + 58*z**2 - z wrt z?\nAnswer: 12*l*r - 13020*l + 732*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t - 8 = 0, 160 = q + 2*t. Let c = q + -160. What is the greatest common factor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -14 + (-5 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605))*4 - (1 + sqrt(180) + 1).\nAnswer: -2 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97729733779 - -2?\nAnswer: -97729733777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-28) + 4\/(-7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, -0.2, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59f9 (base 16) to base 5.\nAnswer: -1214113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.44, 7, -3\/4, -4 in ascending order.\nAnswer: -6.44, -4, -3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 5. Suppose 43*y - 30 = 48*y. Calculate z(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(((-4)\/3)\/(626\/2817))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**4 - 3*b**3 - 29750*b - 2*b**2 + 29752*b - 3*b**4 in the form d*b**2 + a*b + w + r*b**3 + u*b**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -123, -323, -707, -1335, -2267?\n\"Answer: -10*v**3 - 2*v**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o**3 + 3*o**2 - 284*o - 71. Let s(v) = -2*v**3 + v**2 - 71*v - 16. Calculate -2*d(t) + 9*s(t).\nAnswer: 2*t**3 + 3*t**2 - 71*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 12*f + 12. Which is the closest to 2? (a) -2\/5 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*3\/(-18)*-14. Suppose u - a = 3. Calculate the least common multiple of u and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252 + 1266\/5. Let u = 479 + -474. What is the smallest value in -0.4, x, 3, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33 - (-2 - -2)) + -2. Let r(x) = 37*x - 2. Let t be r(1). Let d = t - f. Sort -13, d, -5.\nAnswer: -13, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2563596 divided by -61038.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 15*i**2 - 17*i - 14. Let o be q(-16). Let v(l) be the second derivative of -1\/60*l**5 + 0*l**3 - 4*l + 0*l**o + 0 + 1\/36*l**4. Factor v(m).\nAnswer: -m**2*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*-1 + (-5)\/(-133)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 2*a + 3. Let t be s(0). Solve 3*w + w = -5*c + 25, 5*c = t*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1334423 * -1.8.\nAnswer: -2401961.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1389, -1392, -1397, -1404, -1413, -1424?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 33. Let k be l(-26). Suppose 4*n + 3*s - 106 = 0, -5*n + 8*n = -2*s + 80. Calculate the highest common factor of n and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.95 + -24. Let r = 0 - -0.05. Let p = r - f. What is the closest to p in 1\/4, -2\/7, -3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/8 - 9\/4*c + 3\/8*c**2.\nAnswer: 3*(c - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380950303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6102.4 + 0.75.\nAnswer: 6103.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:13 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2 + 0*u**2 - 10 - 1 + 3*u**2 + 13*u. What is the units digit of z(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126152 + -14?\nAnswer: 126136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251310 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbjsjjjsjss. What is prob of picking 2 s and 2 j?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 6:45 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.522 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 38. Let r = -30 + d. Solve 9 = -w - 3*c, 3*w + r*w + 4*c + 23 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -53. Let m = 26.9999984 - u. Round m to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 358, -35.2, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*z**4 + 2*z**3 + 135*z wrt z?\nAnswer: -1704*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from eeieie.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*i = -5*f + 16, -4*f = 4*i - 24. Suppose -57*z + 4 = -56*z. Factor -m**z + m**4 - m + 2*m**5 - f*m**4 - m + 4*m**2.\nAnswer: 2*m*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efdusdu. Give prob of sequence fe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 33. Let t be ((-5)\/15*1)\/((-1)\/15). Does 22 divide 11*((3 - t) + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -626525?\nAnswer: -626522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 9016*k**3 + 28*k**2 + 63088*k - 54096 = 0.\nAnswer: -2254, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*t - 1335*t + 304*t + 307*t - 2*t**2 + 340*t.\nAnswer: -2*t**2 - 45*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 306*p - 310. What are the prime factors of j(5)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*l + 334*l + 308*l.\nAnswer: 885*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-59688)\/(-252))\/((-2)\/(-14)). Suppose l - h + 243 = -5*r, 4*r = -3*l + 4267. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312000 - 30?\nAnswer: -2312030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312076847 is divided by 2481?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 304297058 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23000879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 208 = -3*g. Suppose 2*h - g = -16. Is h at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = -4*c, 7*c = u + 2*c - 13. Factor -4*m**5 + 2*m**3 + 14*m**3 - 8*m**2 - 4*m**u.\nAnswer: -4*m**2*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002956 to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*f = 375*f + 54. What is the greatest common factor of f and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 + -196 + 90 + 57?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -313c + 86?\nAnswer: -30b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111010101 + 1?\nAnswer: 110111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 9260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 + 138. Which is the nearest to -2\/115? (a) p (b) -3 (c) 2\/13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -4 - -3 - -2. Suppose 3*n = 7*n. Solve -8 = m*u - n*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15061.2*-0.2\nAnswer: 3012.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 333b919 - 2?\nAnswer: 333b917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:59 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + g + 3. Let x be b(6). What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25602 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 2*sqrt(88))\/(sqrt(44)*-4).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 1562 - 1562 - 1643*t**2.\nAnswer: -1643*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.000368 * 0.1\nAnswer: 0.0000368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -108*u + 1. Let n be v(-1). Let s = -60 + n. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - (7 + -4)) - 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*t - 6*t**2 + 2*t**4 - 133*t + 2 - 4 to q*t**2 + c*t**4 + l*t**3 + u + a*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 - -0.03. Let z = -2.3 + o. Let r(n) = -221*n + 19664. Let m be r(89). Which is the nearest to z? (a) m (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:38 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 + 8*y + 15. Let v be i(-7). What is the second derivative of -23*f**4 + 3*f + v*f + 17*f wrt f?\nAnswer: -276*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f**2 + 260*f + 339. Determine x(20).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 51. Let x(g) = -5*g + 9. Let q(n) = 4*n - 7. Let p(a) = c*x(a) + 6*q(a). Let y(v) = 3*v - 7. Give 5*p(u) + 2*y(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 17*j**5\/12 + 5*j**4\/24 - 5*j**3\/6 - 9*j**2 - 3. What is the tens digit of x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(30)\/sqrt(6)) + (sqrt(280)*3 + sqrt(280) + sqrt(280))\/sqrt(10) + -2 + 3*(0 + sqrt(1008)))**2*3.\nAnswer: -576*sqrt(7) + 48396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -80*o - 54. List the prime factors of x(-5).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5257532 divided by -4\nAnswer: 1314383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16195\/36 + 1343\/3. What is the common denominator of v and -83\/400?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.714664um to millimeters.\nAnswer: 0.000714664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1222?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275141 + 659832. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*s + 102, 2*s + 4*d - 57 = -7. Let k = s - -4. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12302*f + 120 = 12297*f + 5*o, -10*o - 50 = 0 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29850 - 46926. Let p = c + 273119\/16. Find the common denominator of 43\/2 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {t: 6, q: 2, k: 3, i: 1, x: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -5\/2*s**4 + 0*s + 35\/3*s**3 + 5*s**2 - 7*s**5 - 21. Suppose m(k) = 0. Calculate k.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = 0, 3*f - c + 90 = 4*f. Let a be (27\/4)\/(33\/f). Let n be a\/(-45) + (-22)\/(-5). Which is greater: 36\/7 or n?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**15*t)*t**15\/t)**(-7\/4))**(3\/10))**(-19\/2) assuming t is positive.\nAnswer: t**(-399\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8568 + -8565. Solve i = -c*q + 2*i - 13, -5*i = -5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(-40) + 6\/10. Suppose -2*h + 25 = 5*x, h + 4*x - 17 = -6. Let f be (-3)\/h + 143\/165. Which is the nearest to 4? (a) s (b) -2\/19 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-7 - 1) - (45 + -45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + t = -35, 0 = -2*d + 2*t + 3*t - 46. Let w = 22 + d. What is the least common multiple of 5 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 200241 = -473887. Suppose -8*h + t = -2640. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-1)*(2\/(-6) - -2). Let w(r) = 9*r + 1. Let s be w(-1). Let o = s - f. Solve 3*n - o*n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 7*a**2 + 8*a - 2. Let i be f(6). Let s(x) = 4 + 20*x - 18*x - i. Suppose 4*n - 7 = 17. Give s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g - 5. Let b be p(-2). Let n = 13 - b. Factor -4\/3*o - 1\/3*o**n - 1.\nAnswer: -(o + 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 - 195 - 969285*w.\nAnswer: -969285*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n. Suppose 192 = -16*o + 13*o. Let p = -78 - o. Let j(s) = 70*s - 14. Let z(y) = 14*y - 3. Let u(v) = p*z(v) + 3*j(v). Calculate i(u(f)).\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625794 is divided by 2652.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000181532037 rounded to six dps?\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5747388*d*q**2*y**2 - 20*d*q**2*y - 61390*d*q*y**2 + d*q + d + q*y**2 + y wrt q.\nAnswer: -11494776*d*y**2 - 40*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/3276 and 137\/156.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-225)*215 - (-2)\/5. Solve 4*u - v = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(1 - 2))\/(-2). Let r(c) = -14*c + 12. Let g be r(2). Let u be (2\/(-8)*3)\/(78\/g). What is the nearest to i in -1, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -119*b**3 + 51*b**2 + 3*b - 2. Let c(a) = 120*a**2 - a - 59*a**2 + 1 - 59*a**2. Let w(k) = -2*c(k) - x(k). Find the third derivative of w(j) wrt j.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*i + 9, 8*i - 4*i - 12 = 0. Suppose c = -27*v + 26*v + 2. Is 9 a factor of (1\/v)\/((-16)\/(-512))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*t**2 + 0*t - 22*t**2 - t)*(38*t + t - 8*t).\nAnswer: 124*t**3 - 31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (-1 - (-20 - -11)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6839149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jveeqvecvqjeve. What is prob of picking 1 q, 1 v, 1 j, and 1 e?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from -214440564.\nAnswer: -214440561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3357*q + 723*q + 28560 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1828*r**4 - 1820*r**3 + 8*r**2 = 0.\nAnswer: -1, 0, 2\/457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -239.99841 - -240. Round z to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*l + 58*l - 2196 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*n - 10, a + n = -a + 5. Let g = 0 - a. Let t(o) = -o + 14. Calculate the remainder when 41 is divided by t(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - v**3 - 6 - 3*v**3 - v + 5*v**2. Let t be b(3). Which is bigger: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:36 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 955648\/(-11199) + 94\/1.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.3813766 rounded to three dps?\nAnswer: 38.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 - -625\/2. Find the common denominator of o and 101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5)\/(-2*8\/4140*23).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1671 < -1\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 141, 210, 277?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668446999?\nAnswer: 43, 902351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 57*m**2 - 2730*m - 149. Calculate b(-88).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*w - 5*w. Suppose -4*d = -2*g + 7*g - 5, 5*d + w*g = 19. Suppose -3*y + 168 - 49 = -4*b, 0 = -4*y + d*b + 159. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 7. Let s be j(-5). Suppose -5*i + 26 = 2*k, -4*i + 5*i + 2*k - 10 = 0. Find the second derivative of b + 2*b**i - 5*b**4 + s*b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2747*u**2 - 143 - 5*u - 2744*u**2 - 155 in the form b*u**2 + m + j*u and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 12bc?\nAnswer: 12cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-10) - (-598)\/(-320) and ((-582)\/112)\/(-1) - (-50 + 23 - -32).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -564 - -152.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/21 + 200260*z**2\/21 + 2002750*z\/21 + 1669000\/7.\nAnswer: -2*(z - 100140)*(z + 5)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/13))\/((a*a**(2\/11))\/a))\/(a*a**23*a*a\/a**26))**(-1\/18) assuming a is positive.\nAnswer: a**(-14\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 3*q**2 - 2*q**2)*((-4 - 4 + 6)*(-6*q + 3*q + q) + 3*q - 6*q + 13*q) + 4*q**3 + q**2 - q**2.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 2820620*s**2 = 0.\nAnswer: 0, 564124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18396 and 31536?\nAnswer: 220752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 11*n**6\/40 - n**5\/30 + n**4\/12 - n**3\/6 + 4*n**2. Let a be v(1). Let r = a - 4. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n + 6*n**2 - 7*n + (-2 + 3 - 3)*(n - n - 3*n**2) + (-1 + 2 + 1)*(-2*n**2 + 3 - 3) in the form a*n + u + c*n**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 976 and 0.2.\nAnswer: 976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.949 - 4.051. Which is the closest to -1? (a) -0.07 (b) -0.3 (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0100511596 to five dps.\nAnswer: -0.01005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a factor of 348316452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/7)\/(j**3*j)*(j\/(j*(j*j\/((j\/((j\/(j**(1\/35)*j))\/j))\/j*j*j)*j*j)\/j*j))\/j*j**(-20\/7) assuming j is positive.\nAnswer: j**(-299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 1819 = 30*p - 1244 for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/26887 - -591532\/241983. What is the common denominator of t and ((-109)\/(-4))\/(0 - -15)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-1612)\/2574)\/((-2)\/11).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 1464, 2538, 4018, 5892, 8148, 10774?\nAnswer: 13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/7 + (-310)\/28*194\/(-1940). Let c(b) be the second derivative of -z*b**4 - 54*b**2 + 0 - 6*b**3 + 25*b. Factor c(g).\nAnswer: -3*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234*l + 339*l - 40*l - 185*l + 388*l to d*l + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/(-18) - (-5 + 31\/6). Suppose g*l - 2*u = 13, -3*l = -u - 6 - 5. Solve -23 = -5*k + 2*s, k + 4*k - 3 = -l*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*b + 65, -46 = 2*b - 6*b + 2*j. Let n = -5 + b. Find the third derivative of 0*z**4 + 3*z**2 + 0*z**4 - 4*z**5 + z**n wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13741222.\nAnswer: 2, 11, 624601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 35. Let j = 87 + -351\/4. What is the biggest value in j, -2, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117262 (base 9) to base 14\nAnswer: -1bbc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - g - 2 = -k, -5*g + 5 = 0. Suppose -2*q = 19 - k. Let v(f) = 5*f - 328. Let p(b) = -4*b + 275. Let m(h) = 6*p(h) + 5*v(h). Give m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.64491 decades to years.\nAnswer: 716.4491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.159839 - 2.16. What is o rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 105 = 22*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1413 in 0.1, 5, -5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18623*l + 18557*l = -1782 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 1234*q - 1159147\/2.\nAnswer: -(q + 631)*(q + 1837)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/4)\/((-2)\/(-116)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -604 + -273. Let l = 936.7 + u. Let x = l - 60. Sort 2\/3, -1\/4, -1\/2, x in increasing order.\nAnswer: -1\/2, x, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11733 plus 36?\nAnswer: -11697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 12*s - 3. Let u(x) = 1 + 4*x - 2*x**2 - 6*x**2 + 4*x**2 + 3*x**2. Let z(f) = 2*b(f) + 7*u(f). Determine z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**5 + 4*c**3 - 4*c**3)*((-1 + 4 - 2)*(0 - 2 + 3) + (3 - 4 + 3)*(3 - 4 + 5) - 6 + 5 + 0 + 1 - 1 - 6).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 4*c. Let f(y) = y**3 + y**2 + 5*y. What is 3*a(w) + 2*f(w)?\nAnswer: 2*w**3 - 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j**(-2\/9)\/j)*j*j))\/j)**37*j**(-2\/25)\/j**(1\/11))**(-47))**22 assuming j is positive.\nAnswer: j**(36384862\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 310\/84 - (-4)\/(-4) and 9\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-210)*(9 + 0 + (-752)\/48).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 3, 10 in ascending order.\nAnswer: -9, -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11439 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, -2\/9, 2, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/16 and 1\/4588?\nAnswer: 18352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(132\/(-3))\/(-6 + 8). Solve h + 19 = w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83158, -166367, -249628, -332965, -416402, -499963?\nAnswer: -583672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - m = -13, 158*m - 27 = -3*t + 155*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m**2 - 3*m. Let f be r(0). Solve -3*l + 4*y = f, 5*l - y - 9 = -26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -61. Let m(l) = 2*l**2 + 3*l + 4. Let x(c) = c + 1. Determine h*m(a) - 2*x(a).\nAnswer: 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**16\/(g**(-1))**(-43) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26 + (1 - -3) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3822*v - 3949*v = 14351 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/15)\/(8\/10). Let x = 0.01 - -19.99. Let p = x - 15. Which is the third biggest value? (a) 0.1 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2420325*g**2 + 806775*g**2 + 806769*g**2 + 806779*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -49, -114, -193, -280, -369, -454?\n\"Answer: n**3 - 16*n**2 - 4*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13822064*v**2 + 9711224 wrt v?\nAnswer: -27644128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 17*t + 6 = 2*o, o = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q. Let z be i(1). Let v(u) = 6*u**3 - 2*u**2 + u. Let t(r) = -7*r**3 + 2*r**2 - r. Let l be 5 + (2 - 3) + 2. Calculate l*v(a) + z*t(a).\nAnswer: a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442 + -1?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3376*k + 7450 with respect to k.\nAnswer: -3376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-3) - 1) + (-4)\/6. Suppose x = 163*q - 169*q - 6. Let a(r) = -8*r**3 - 2*r**2 + 1. Determine a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 + 1208*q - 1208*q.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -25.0513?\nAnswer: -7.51539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + 1003?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, 2\/9, 19, 0.1, 4\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*t - 12 = 2, 0 = 2*j + 3*t + 16. What is the remainder when 104 is divided by (-107)\/j - ((-12)\/20 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, j: 3}. Give prob of sequence yj.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*p - 4*y + 1, -2*y = 4*p - 30. Solve 2*x = -x + p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*m - 6053921 = 0, -86375 + 2104250 = f - 14*m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(1792)*-4)**2 + 5)*-4.\nAnswer: -458756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 23 (c) -84\/13 (d) 18.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -5*y + 3*w - 19, 3*y + 13 = -w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 12 + -9 + (-3)\/(3\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -40689420?\nAnswer: -16275768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(-3*(-12)\/(-288))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 + 24 = 0. Suppose i = w + 7*w. Which is greater: w or -8\/31?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14756 and 70.\nAnswer: 73780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.63. Let v = 0.37 - s. Let q = -1 - -5. What is the biggest value in v, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -95 + 26 - -31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.03563, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -56, -48?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 + 40*n**2 - 24*n**2 as i*n**2 + c + w*n and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 - k**4\/2 + 43*k**3\/2 + 61*k**2\/2 - k\/2 - 10 = 0. What is k?\nAnswer: -4, -1, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*o**2 - 27 - 37 - 39*o**2 - 2*o - 11.\nAnswer: 5*o**2 - 2*o - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/15)\/((24\/(-1560)*13)\/(1\/(-34))).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, -8\/9, -0.4, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -12. Which is the biggest value? (a) -0.06 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u - f + 44, 5 = f. Let z = 13 + u. Solve -b - 3 = 2*g, z = g + 4*b + 16 - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 42*g**2 + g + 1. Let x be c(-1). Suppose 191 = 3*u - 5*v, 8*v - 3*v - 241 = -3*u. Let t = u + -9. Calculate the highest common divisor of x and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a + 25. Let t be i(4). Let h be 186299997\/t - (-11)\/(-99). What is h rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -2.3. Let r = 52 + -19. Let h be r\/198*(-12)\/(-19). Sort u, 0.4, h in ascending order.\nAnswer: u, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 7. Let j be o(-9). Solve 0 = 4*u - j*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*t + 3, c - 6 = -5*t + 4*c. Suppose 5*b - 300 = t*s, 5*b + 5*s - 363 = -103. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*b + 169*b - 140390. Is b a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33657*u**2 + 7*u - 3312?\nAnswer: -67314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 1155 + 105*i**3 - 44*i**3 - 37*i**3 - 209 - 26*i**3 as u*i + h*i**2 + z*i**3 + b and give b.\nAnswer: -1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68.1 - 56. Let f = 36.9 - t. Round f to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33427?\nAnswer: 33427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5082388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*u - 12 = 5, -2*s - 22 = -5*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:14 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/93495780 and 103\/14246976.\nAnswer: 1495932480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10942 - -361. Let y = m + 10440.59. Let x = 141 + y. What is x rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7059456?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3882*s - 13*s**4 + 4*s**2 - 79 + 5*s**3 + 3882*s + 42*s**4 wrt s?\nAnswer: 696*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*i = -33, b - 15*i + 12*i - 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) 0.1 (c) -0.08 (d) 2 (e) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2571915 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6762845 months in years?\nAnswer: 0.139690375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*122\/(-10065) - -1*(-563)\/(-11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -90*p**2 - 1016*p - 221. What is the derivative of q(z) wrt z?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 75*t + 2007. Let q be f(-18). Sort q, 4, -16.7 in ascending order.\nAnswer: -16.7, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/42)\/(3\/6). Suppose 0 = 3*y - 0*y. Put 5, g, y in ascending order.\nAnswer: y, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 8 + 0*s + s + 7 + s**3 to a*s + k*s**2 + q + y*s**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.57 + -510.57. Let q = m - -508. Which is the nearest to q? (a) 3 (b) -1 (c) 4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1283 * -5.\nAnswer: -6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by ((-4)\/(-8)*-2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 8. Find the common denominator of (-242)\/(-36) + v\/(-4) and 49\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = 2*y, 20 = 4*u + 5*y + 1. Let p(n) = 7*n**2 - 2*n. Calculate the remainder when p(-2) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26006, 52217, 78440, 104681, 130946, 157241?\nAnswer: 183572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*o + 31. Is -8 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1758189 grams to tonnes.\nAnswer: 0.0000001758189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -3.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*u = 2*v + 736, -161 = -v - 5*u. Suppose -v = 2*f - 7*f + 3*i, -f + 29 = 3*i. What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 0.5, -2\/5, 3\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 7. What is w(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2. Let d(o) = -767*o. Give d(z(g)).\nAnswer: -4602*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-6))\/(869\/(-1422) + 3\/(-54)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 89 - 65)*(4*o**2 - 6*o**2 + 0*o**2)*(-4 + 6 - 1).\nAnswer: 114*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*a - 21. Let z(y) = -y**2 + 0 + 4*y + 2*y + 6. Let b be z(a). Sort b, -2\/15, 3 in descending order.\nAnswer: 3, -2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1 + (-5 - 1 + 4)*(-3 + 1 + 3))*(-2*a - a + a) - 1 + 1 + a to the form p*a + k and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {z: 1, v: 1, q: 1, h: 1, r: 2, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -13152523?\nAnswer: 13152514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -64374459 not equal to -64374459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*k**3 - 619*k**2 + 619*k**2)*(-k**2 + 2*k**2 + 3*k**2).\nAnswer: -80*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 45 = -0. What is the greatest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 - 43*j + 61. Let v be t(9). Sort 2, -1, 57, -4, v in descending order.\nAnswer: 57, 2, -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164798, -659190, -1483182, -2636774, -4119966, -5932758, -8075150?\nAnswer: -10547142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 u when four letters picked without replacement from {u: 16, q: 4}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.70936291 rounded to 2 decimal places?\nAnswer: 12.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.5875 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61292 is divided by 8755.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 + 24 = 0. Let c be t\/4 - (-5)\/(-2). Sort -1, c, 3.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from vvvvvdxvxxvvvvv.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308 - 279.8. Let t = m + -29.2. Let b be (-2)\/3*(-3)\/5. What is the nearest to 0 in b, 6\/11, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 12*u**2 + 177*u + 1066. Determine o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*u - 5*j + 26, 0 = -3*u - 2*j + 4. Let h(i) = -i**2 - 3*i. Let c be h(u). Let g be -5 + c\/(3 - 1). Let o(t) = t + 5. Calculate o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 1. Let q(l) = -l + 1. Let w be -1*4\/12*9. Let x(h) = w*j(h) - 6*q(h). Differentiate x(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1.8618\nAnswer: -1.1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 + 8301*k**4 + 5*k**2 - 510*k + 1.\nAnswer: -120*k**2 + 199224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 2 (b) 60 (c) -0.5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*l**2 - 3*l + 19 wrt l?\nAnswer: -58*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (5 - (-1 + -3)) - 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/120 + 7*x**5\/60 + 5*x**4\/12 - 3*x**3\/2 - x**2. Let o be w(8). Let b = o - 4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(22\/(-6))\/(-11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -5, 0.3, 1726795, 0.4 in descending order.\nAnswer: 1726795, 3, 0.5, 0.4, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 28. Let d(g) = g**2 + 3 + 9 - 4*g**2 + 10*g + w*g**2. Does 21 divide d(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73319282 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-3)\/(-2*sqrt(360)) + ((sqrt(275) - sqrt(275)*-2*-1) + -1 + -2)**2.\nAnswer: 119*sqrt(11)\/4 + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, j: 6, o: 3}. What is prob of picking 1 o and 3 j?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Suppose 0 = 4*h - 5*k + 23 + 5, -k = 2*h. Let n(q) = 18. Let g(o) = -o. Let s(p) = h*g(p) - n(p). Determine s(v(x)).\nAnswer: -2*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*n - 3*r, -5*n - 2*r + 14 = -3*n. Suppose -3*s = n*s. Let g(m) = s*m + 4 - 6*m + 5*m. Give g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5\/2 + 9*o**4 - 6*o**3 - 36*o**2 = 0.\nAnswer: -6, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. List the prime factors of m*3\/(-9) - -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1444795, -1444932, -1445159, -1445476?\n\"Answer: -45*v**2 - 2*v - 1444748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(19\/9 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/40 + t**3\/4 + t**2\/2 + 50*t. Factor p(x).\nAnswer: -(x - 2)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227256.814 rounded to the nearest one hundred?\nAnswer: -227300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703198.\nAnswer: 2, 31, 59729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j**3 - j**2 + 2*j - 2. What is u(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - -217. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)*g*g*g**(-7)*g\/(g*g**(-14))*g\/(g\/g**(-8\/7)) assuming g is positive.\nAnswer: g**(151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -83. Solve 3*t - 14 = -f, -n*t = 5*f - 3*t + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u. Let s = -145 + 242. Let r(m) = s - 7*m - 189 + 92. Calculate -7*b(k) + 6*r(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0) + 1 + 0. What is the second derivative of 2*n**2 + 0*n**2 + 6*n**5 + 4*n - k*n**2 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**5\/7 - 536*n**4\/7 - 5052*n**3\/7 - 1952*n**2 - 9152*n\/7 = 0.\nAnswer: -4, -1, 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/50*770\/(-33) and 38\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y - 26568 = 4329 - 270847. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.64 + -863.36. Which is smaller: -6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0, -0.5, 2\/30167, 5?\nAnswer: 2\/30167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 231, 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let g(n) = 45*n - 22*n - 22*n. Give j(g(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62255 and 4505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -3 (c) 3 (d) -551.6 (e) 3\/4 (f) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -5.09 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 + r**2)*(3 - 3 + 3*r)*(18*r - 583 + 583).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -25 - 3*z**3 + 22*z**2 - 2*z**2 + z**3 + 53*z + z**3 + 0*z**3. Is l(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let f = 1 + w. Let b be (-1*(-3)\/9)\/((31\/9)\/31). Are b and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v**2 - 58*v**2 + 24*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.8194 millimeters to meters.\nAnswer: 0.2388194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x + 5*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 - 2*z - 1. Let m be q(1). Is (m - 15\/(-2))*14 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:18 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*t**3 + (2*t - 2*t - t**2)*(-2*t - 2 + 2) - 5*t**3 + t**3 + 0*t**3 + (1 + 1 - 4)*(3*t**3 - 3*t**3 - 2*t**3).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 3975190*o + 71555040.\nAnswer: -5*(o - 18)*(o + 795056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6443695, 12887438, 19331181, 25774924, 32218667?\n\"Answer: 6443743*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 130*r**2 + 12*r + 3143. Let x(c) = 65*c**2 + 6*c + 1571. Let u(n) = -3*h(n) + 7*x(n). What is the first derivative of u(a) wrt a?\nAnswer: 130*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9736709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, b: 1, r: 2, y: 1, x: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*q + 76*q - 2457 = 75*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58035 - 58056 = 21*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g + 16. Let n be (-25)\/(3*g\/(-5568000)). Round n to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - y + 20 = 0, 0 = 4*f - y + 10 - 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 2*r - 4*r + 2)*((5 - 4 - 2)*(-4*r + 2*r + r) - 4*r + 0*r + r) in the form l + k*r + y*r**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*203\/28 + 7)*-24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -13. Let z = 18 + -14. What is the greatest common factor of o and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*q + 24, -20*j + j = -3*q + 5*q + 564 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcxk when four letters picked without replacement from kdkcdcxckqklk.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-1) - (-357)\/(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63843858 and 56750096?\nAnswer: 510750864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/7)\/q)**(3\/26))**(15\/7) assuming q is positive.\nAnswer: q**(-225\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)\/2*4. Calculate the highest common divisor of 36 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (0 - 18 - (-3 - (74 + -65))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1107652.7 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - 27. Let u = 11535\/4 - 2843. Let b = m + u. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.249 * 4.\nAnswer: 44.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**4 - 24*m**3 - 34*m**2 - 10*m + 10. Let p(c) = c**4 - c**3 - 7*c**3 - 3*c - 7*c**2 - 4*c**2 + 0 + 3. Let k(x) = -3*g(x) + 10*p(x). Factor k(y).\nAnswer: -2*y**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**2 - 1. Let n be v(-1). Let i = n - 4. Suppose -k = -i*w - 6 + 17, 16 = 5*w + k. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-209583)\/1373295 + (-1)\/(-3)*(-27)\/(-63).\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564 + -583. Let p(b) = -15*b - 279. Let w be p(t). Calculate the greatest common divisor of w and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 2*d + 5. Suppose 19 = 3*b - 2*j, 2*b - 4*j - 30 + 4 = 0. Let a(l) = l**2 - 2*l - 4. Determine b*a(w) + 2*v(w).\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 3299*a - 19830 = 0.\nAnswer: -6, 3305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - 1487994.77?\nAnswer: -1487993.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 + 2*x - 3. Let p(w) = -w**3 - w**2 + 41*w - 2. Let r be p(-7). Does 9 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 + 20 = 0. What is the smallest common multiple of 1909\/115 + -17 - (-794)\/10 and k?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 + 305 - (-1 - -27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -32*s - 12. Let g(a) = 45377 - 22691 - 22687. What is -f(d) + 10*g(d)?\nAnswer: 32*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-710)\/(-8) + (-3)\/(-12). What is the common denominator of 25\/(-10)*j\/(-5) and 2\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**4 - 169*k**2 + 0*k**3 + k**3 + 522*k**2 - 172*k**2 + 1 - 171*k**2 to v*k + s*k**2 + x*k**4 + q*k**3 + a and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 2, k: 2, b: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 15 - 13 = 22, 0 = -2*b + 3*b - 4*u - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/3 - 966398*q**2\/3 + 3865616*q\/3 - 3865624\/3 = 0?\nAnswer: -483203, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*r = -304, -z + 3*z = 5*r + 115. Suppose 13*l = 8*l + z. Suppose -2*h = -42 + l. What is the remainder when 28 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -47 + 14 + 51\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 5)*1*-1. Let c(v) = 21*v - 2. Let g be c(4). Suppose -l + 84 = 3*l - w*r, -4*l + r = -g. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -253*g + 246*g. Which is the second smallest value? (a) g (b) 0.3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7315 and 280060?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1442720674 divided by -84865922.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-26) + 18040\/22880?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*w = -125*w - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 * 0.0174061\nAnswer: 0.0007484623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.144033 millennia in years?\nAnswer: 3144.033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from npppaaampp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20330*a**2 - 38800*a**2 + 21098*a**2 to d*a + v + g*a**2 and give g.\nAnswer: 2628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 4, y: 2, q: 3, r: 2}. Give prob of picking 1 t, 1 z, and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by -5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60801 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10010000101000111010010011?\nAnswer: -10010000101000111010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vovr when four letters picked without replacement from {v: 10, o: 3, r: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/4, -2\/119, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -32*m - 69. Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32335, 64713, 97091, 129469, 161847?\nAnswer: 194225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 4*r - 7. Suppose 3*s = -5*b + 56, -12 = -2*s + b + 2*b. Suppose -4*l = -2*l - s. Calculate the remainder when 9 is divided by j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/366702 and -85\/12?\nAnswer: 733404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1\/4 (c) 1\/28 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/336 and 111\/160.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56251 times 2?\nAnswer: 1.12502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 71318*a - 3 = 2*o - 71316*a + 15 - 2, 20 = -5*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2016, 2019, 2018, 2013?\n\"Answer: -2*d**2 + 9*d + 2009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*6*((((sqrt(272) - (1 + sqrt(272))) + sqrt(17))**2 - (-2 + sqrt(153))**2) + 3).\nAnswer: -816 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1980\/(-8))\/(13\/(-130)*5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:16 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) 2 (c) 0.13 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 1455*q**3\/2 - 2865*q**2 - q + 622. What is the derivative of h(j) wrt j?\nAnswer: 4365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3775 by 3.\nAnswer: -3775\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -178, -264, -350?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3633, 7352, 11071, 14790, 18509, 22228?\nAnswer: 25947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:35 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-7)*(-3)\/12*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47090 and 327390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 290 - (20 + -11 - 0). Solve 0 = 4*w + j - 297 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2290*l - 2131?\nAnswer: -2290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2385, -19068, -64357, -152556, -297969, -514900, -817653, -1220532?\nAnswer: -1737841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78056595 by -3279.\nAnswer: -23805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2363201 and 976.\nAnswer: 37811216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = 3*b - 19, 4*b + 11 = 3*k. Solve 4*d = -2*p - 8, -2*d - 2 = -k*p - d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104 - 116) + -2 + -1 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1\/3)*u)**(4\/29)\/((u\/u**(-4\/9))\/u**(2\/9))*(u*u\/u**(2\/7))**(26\/9)*u**2\/(u\/u**(1\/2)) assuming u is positive.\nAnswer: u**(20791\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3 - 391*y**2 + 51*y - 395*y**2 + 1186*y**2 - 396*y**2. Calculate a(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 11*y**3\/3 - y**2 + y + 16. Suppose -u + 3*u + 4 = 0, 5*u + 5 = -5*v. What is g(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262 - 262. Solve x = -3*j - 5 - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410 (base 9) to base 11.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -1. Let y be (-2)\/3 + 3\/18. Sort q, y, 2\/7.\nAnswer: y, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4167*u + 1574192 - 1574192 - 4320*u to the form y*u + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + 654.2022?\nAnswer: 725.2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(30)\/(sqrt(3) - 1*sqrt(3) - sqrt(3)))\/sqrt(2))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 7, -5, 17\/61 in descending order.\nAnswer: 7, 17\/61, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = -18*b + 31*b - 10*b - 2728 for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let h = 5 + -4. Let n(i) = -2*i**2 - 2*i + 1. Let s be n(h). Let q(k) = 4*k + 4. Calculate s*t(p) - q(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/36176 and 113\/87856?\nAnswer: 614992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664057?\nAnswer: 43, 38699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83370 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 67?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4\/11 - 15898*w**3\/11 + 1545030*w**2\/11 + 3137746*w\/11 + 1576820\/11 = 0?\nAnswer: -8045, -1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -11 - (0 + (-2 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 99 = -4*w. Let t = w - 44. Let g be t + (-1)\/(1\/(-4599)). Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/7)*a))**(-2\/67)\/(a**(-1))**(-2\/25))**(-1\/18) assuming a is positive.\nAnswer: a**(244\/105525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -0.4, 7, 0.15, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + (-7 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 5*z - 1. Is 33 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/(-140)*(-1)\/2. Which is the closest to 0.4? (a) -0.1 (b) 0.03 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4\/7*l - 2*l**2 = 0. What is l?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*v - 3*z - 51, 3*v - 3*z - 21 = 0. What is the highest common divisor of v and 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*c**3 - 32*a**2*c + 191*a*c**5 + 3*c wrt c.\nAnswer: -12*a**2*c + 3820*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 61*c**3\/3 - 23*c**2\/2 - 51*c. Is s(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3385.37 and 7173.\nAnswer: 3787.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1960)\/(-1568)*(-2)\/(-20). Put -2\/9, 239, j in descending order.\nAnswer: 239, j, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75057 + 1?\nAnswer: 75058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:53 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 8041280.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -25*y - 10*y + 50*y. Let c(n) be the second derivative of -n**5\/20 + 7*n**4\/12 - 5*n**3\/6 + 3*n**2 + n. Determine c(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*k = -7*z + 131*k - 41, -2*k = 5*z + 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31076)\/(-2 + 35\/18). Let w = z + -919368. What is w rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1527 + 2292. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 6 + (-18 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.611 + 0.211. What is the fourth biggest value in -3, 11, -0.5, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 7}. Give prob of sequence aba.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*q + 39, -d = -0*d + q - 51. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1675*c + 55. Let v(h) = 62*h + 2. Let g(b) = -2*u(b) + 55*v(b). Let z(o) = 2*o. What is z(g(y))?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)\/(sqrt(8)\/sqrt(2) + sqrt(4)))\/(sqrt(288)*-2).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from bbdddndbndbdbbd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -16628927.842 to the nearest 1000.\nAnswer: -16629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 - 3*q + 1. Let v be w(3). Suppose 2*b - 7 = v. Let c be (-6)\/b*(-100)\/5. Round c to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1)\/(-3) + (-53)\/(-30). Let y be -5 + 2 + (-14)\/(-10). Let j = y + r. Is j less than -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**3 + 2*b**2 - 2*b + 1. Suppose 0 = -4*w - 465 + 469. Calculate h(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2517*x - 799 = -2470*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-40)\/24 - 40\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 7*u - 19. Let f be q(9). Let x be -2 - (0\/2 - 1) - f. Suppose x = -5*i + 3*t + 202, 16 = -0*t - 4*t. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 759 - 759.00178. Round l to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44720.6 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12053439*g + 565391.\nAnswer: 12053439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 89. What is the fourth biggest value in -3\/8, 0.1, 3\/8, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -3, -4, 4, -254.\nAnswer: -254, -7, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011 + -10101?\nAnswer: 1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*s*x**2 + 789018534*s - 21141182*x**3 wrt x.\nAnswer: -34*s*x - 63423546*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1508 + -559. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3)*r*r)**(-3\/7)*(r**1)**27 assuming r is positive.\nAnswer: r**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - -54 - (-28 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -750\/25921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n**2 + 0*n - 20 - 20\/3*n**3 + 5\/4*n**4. What is the third derivative of w(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1123, -1497, -1871, -2245, -2619?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 206*l + 9306. Let g be f(-45). Let h be -3*(16\/6 - 2). Let u be (h - 1)\/((-3)\/2). Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 - 11746 = -289*g + 579 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.492 (c) -1\/1305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9)*3)\/((28\/4)\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85153.73um in millimeters?\nAnswer: 85.15373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0 - v**2 + 3\/2*v**3 - v**4 + 1\/4*v + 1\/4*v**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -12) + -1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**2 + 28*n**2 + 55*n**2 + (-6*n + n + 2*n)*(-2*n + 4*n - 3*n) + 4*n**2 - 2*n**2 - 3*n**2 to b + o*n**2 + p*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -39*u**2 - 1761*u - 86. Calculate c(-45).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38249, 38259, 38283, 38327, 38397, 38499?\nAnswer: 38639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m = 0. Suppose m*p = -p - 1. Sort p, 3, 0 in increasing order.\nAnswer: p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -157*b**2 + b + 63. Let h(a) = -158*a**2 + a + 64. Let m(u) = -2*h(u) + 3*j(u). Differentiate m(i) with respect to i.\nAnswer: -310*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2692 + 4506. What is the hundreds digit of (1 - 2)\/(-1) + l + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvu when three letters picked without replacement from ahvaahaaaahvabuaaa?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3 - a**2 + 1748*a. Determine f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c + 1. Let i be n(0). Suppose -4*o - 4 - i = 5*k, 2*k = -10. Solve o*m + 4 = q, 0 - 4 = 4*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4132 - 12411?\nAnswer: -4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10524016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 19*i + 1\/3*i**3 - 4*i**2 + 1\/12*i**4 + 0. What are the prime factors of s(7)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddgg when four letters picked without replacement from {g: 2, d: 2, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47545 and 1295.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*-4)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -5\/312 (c) -1\/7 (d) 1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 + 181 + -166?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5444.533 centuries to years.\nAnswer: 544453.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28.9 + 76510\nAnswer: 76538.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 9 - 9)*(-1 + u**2 + 1) + 2*u**3 - 15*u**3 - 34*u**3 + (0 + 3 - 7)*(-4*u**3 + 0*u**3 + 2*u**3).\nAnswer: -35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 9695 = 8305. Let s be a\/(6 + 32882\/(-5480)). Round s to the nearest one hundred thousand.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 5. Let l(y) = -2*y**2 + 3*y + 4. Let k be l(3). Let o be h(k). Suppose o*m + m = 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7*h = -2*h - 14, 0 = 5*k + h + 3. Let m be 5\/(-1) + (k - 2). What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-286 - -261) + -7 + 1 - -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*f - 44740 = 0, -5*f = -0*f - 10. Let n be 2\/((-3)\/l*-2). Let y = -33481\/9 + n. Find the common denominator of y and 3\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*k + 55, -4*y = k - 3*k + 22. Suppose k - 2 = 3*i. Calculate the remainder when 4 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y - 3. Let h(a) = 7434*a**2 - 6608*a - 19824. What is -3*h(j) + 19824*v(j)?\nAnswer: -2478*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -41*q**2\/2 - 1. Let j(h) = 13*h**2 + 12*h + 6. Let t(z) = 35*z**2 + 32*z + 16. Let s(x) = -8*j(x) + 3*t(x). What is s(w(d))?\nAnswer: 1681*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -6311497?\nAnswer: 94672455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.3 - 17.3. What is the second biggest value in -5, -56, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5, v = -2*v - 2*c - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5497, -5434, -5383, -5350, -5341?\nAnswer: -5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrbffofpro. What is prob of picking 1 r and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1920 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76174387651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*d + 13, d + 4*g - 19 + 6 = 0. Suppose 0 = -3*z - 5*j + 23 + 17, 5*z - 3*j = 44. Solve 5*f + 0 = 5*w + z, 2*w - f = -d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/15)\/(6*1\/(-10)). Solve 0*g - 16 = 4*g, c*h = 3*g + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -3 - -9 - 5 - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00582699 to 6 dps.\nAnswer: -0.005827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466075449441 + -41?\nAnswer: 2466075449400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.18 and -1138499947.\nAnswer: -1138499946.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/4340*-20 + ((-25714)\/7553 - (-1 - 2)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-4576)\/(-851055)))\/((-1458)\/54). Let i = 3\/4576 + t. Find the common denominator of 9\/5 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -986)*(-6 + 80\/10). Which is smaller: g or 1967?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let r(p) = p. Let b be r(1). Suppose 4 - b = j. Solve 0 = -z*n + j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 24*n**2 - 9*n - 2. Let m(g) = -17*g**2 + 6*g + 1. Let w(z) = 5*f(z) + 7*m(z). Calculate w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c - 19*c - 86 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 4, e: 2, m: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3512147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7*290\/630 + 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(2*sqrt(2)))\/(2*sqrt(100)).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11578.95 nanoseconds in microseconds?\nAnswer: 11.57895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00119 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1 - 38*i + 2 + 0 - 3 + 1. Let l(x) = 2*x**2. Give q(l(f)).\nAnswer: -76*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94, -205, -332, -481, -658, -869, -1120?\n\"Answer: -n**3 - 2*n**2 - 98*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d + 1. Let i be o(1). Suppose 2*n - i = 3. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose -k = 3*j - 3, -2*k - 5*j + 3 + v = 0. Suppose -f = -k*f - 2. Which is greater: f or 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 4*q - 5. Let b be 2\/(-12) - (-152)\/48. Let z(n) = n**2 + 2*n + 2. Determine b*g(r) + 7*z(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16462 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 4:40 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2008 - 2006. Solve 3*d - 4*c + 26 = 0, p*c - 12 - 6 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -157 + 0*(1 + 0). Let f = k - -94. Let o = f - -251\/4. Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399954581*j - 124328839.\nAnswer: -399954581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2326\/(-11630) + (-3 + 12\/15)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 572396662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 4 + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153450 by 30690.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197\/(-399)*(-40)\/(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -16*x**3 - 6*x**2 - 17*x + 9. Let a be d(-5). Suppose -158*z = -150*z - a. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -492, -511, -530, -549?\n\"Answer: -19*s - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1240316um in nanometers?\nAnswer: 124.0316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -516.\nAnswer: -1\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 - (-2 - (-11 + 15) - -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -48*n + 56*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 6)*(-33*p + 74*p + 2 - 33*p)*(25*p - 25*p - 5*p**2).\nAnswer: 320*p**3 + 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) -0.4 (d) 235\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36124 is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29840 - 63451 = 771*n for n.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.36554 - 1009.\nAnswer: -1005.63446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86418 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 728*z + 733*z = 376, d = 2*z - 148 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 12 - 2 + 3. Let y(c) = c**2 + 8*c - 9. Let n be y(-9). Is u(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 971.\nAnswer: 14\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -10*z + 13*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16580 + -16570. Sort r, -5, -9, 4 in decreasing order.\nAnswer: r, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10306, -10407, -10580, -10831, -11166, -11591, -12112, -12735?\n\"Answer: -w**3 - 30*w**2 - 4*w - 10271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 356000*t\/9 - 15842000000\/9.\nAnswer: -2*(t + 89000)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/3574013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63540 = -39*a + 45*a. Is (2\/(-3))\/((-10)\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44909095 by -11.\nAnswer: 4082645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - q**2 + q - 1. Let k be s(1). Let r be (0 - 0)\/(k - 2). Let m be ((-25)\/(-6))\/5*(-6)\/(-15). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1328\/80*(20 + 21 - 46)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*1*(8 + -3) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = 5*t, t + 7 + 2 = 2*r. Solve 20 = -r*a - 4*d + 16, -a - 4*d + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 (base 8) in base 2?\nAnswer: 1010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2*i + i - 33407.\nAnswer: i - 33407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2226*w - 24492. Determine n(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3348 (b) 0.3 (c) -9 (d) -0.1 (e) 1\/2 (f) -3.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 72, 270, 662, 1314?\n\"Answer: 11*u**3 - 2*u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 - 1 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.48 + 0.52. Let y = 20.9946 - b. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*w = 150*w + 134. Which is smaller: 602\/9 or w?\nAnswer: 602\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/((-8)\/12). Let b = a - -19. Let k(w) = -45*w. Let x be k(-1). What is the highest common factor of x and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 2, a: 10, j: 1, b: 2, o: 3}. Give prob of sequence kbk.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**2*s**2 + 4*p**2*s + 5*p*s**4 - 3*p*s**3 + 101*p*s wrt s.\nAnswer: 4*p**2 + 60*p*s**2 - 18*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccchhcchhchhc. What is prob of sequence cc?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-602)\/(-344)*(-3)\/(-7))\/(3\/58364) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 11*f + 24. Calculate r(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2, -1\/2, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42201 is divided by 1834?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o - 12, 3*o + 3481 = 2*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:18 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 51218756?\nAnswer: 5736500672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 3. Suppose 51*y + 45 = 60*y. Which is the nearest to 2? (a) q (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*i + 99, -5*i - 167 - 318 = 5*m. List the prime factors of (150\/8)\/((-36)\/m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54473 and -0.03?\nAnswer: 1634.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -9 + 7)\/6. Sort -1, v, -3.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208050491?\nAnswer: 11, 701, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/6, -20, -5, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-17)*h*h\/((h\/(h\/(h\/(h\/(h**(-7)\/h))))*h*h)\/h) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -921*b**2 - 2506*b?\nAnswer: -1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -7)\/((-1)\/(-2)). Let n be 11\/(-4) + (-2)\/8. Is 541\/(n\/6*h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 651, 969, 1427, 2067, 2931, 4061?\nAnswer: 5499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0911 - -0.9089. Let v = -0.064 - -0.864. What is the closest to -0.1 in 2, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1842 - 982. Let r be q\/(-14) + (-6)\/(-14). Let o = r + 103. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l**2 + 16*l - 28. Let y be d(4). Solve i = -y, 4*v - 3*v + 3 = -i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/8 + w**3\/6 - 19*w**2 - 133*w. Let f(u) be the first derivative of c(u). Determine f(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2143873 litres to millilitres.\nAnswer: 214.3873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2716706350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/5))\/y)\/y**0*(y*y\/(y**(-4)\/y)*y)**(-4\/25) assuming y is positive.\nAnswer: y**(-47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557111?\nAnswer: 149, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/28)\/(((-5)\/2)\/(-5)). Let f = 13 - 13.18. Let r = f + 2.18. Which is the closest to q? (a) 2\/17 (b) r (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00788 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -5, 2871, 0.2, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 109205 divided by -339?\nAnswer: -109205\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g - 11. Let q be r(0). Suppose x = 4*m + 84, m + 11 + 27 = -4*x. Let u = q - m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15847009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttdtdd. What is prob of picking 2 d and 1 t?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 44096.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125280\/(-16704))\/((12\/28)\/((-1)\/2)).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = -3*s - 4, 2*r - 23 = 3*s. Let u = -212 + 215. Solve o - u = -0*o, -r*x - 4 = 4*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**5 + 4*p**5 + 5*p**5)*(3 - 2 - 3) + 14*p**5 - 6*p**5 + 15*p**5.\nAnswer: 13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2072601988 to the nearest integer?\nAnswer: 45526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 22*t - 8840\/3.\nAnswer: 2*(t - 85)*(t + 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u. Suppose 0 = 4*r - 4*k - 35 - 25, -3*k - 15 = u. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 654\/(-15) - 2\/5. Let j = 40 + i. What is the remainder when j\/((-12)\/3)*3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4113286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-90)\/(-75)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3 + 6*u**2 + 3*u**3 - u**3 = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4 - 4. Let d be 3 - ((-10)\/2 + 2). Suppose 3*g + 3 - d = 0. Calculate the remainder when b is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**9\/252 + n**8\/6 - 41*n**5\/60 + 92*n**2. What is the third derivative of m(v) wrt v?\nAnswer: -240*v**3 + 3360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 less than -97298.36?\nAnswer: -97298.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116583.4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 110. Let p = 105 + w. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:04 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -191 (c) 35304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 30*o. Let j(q) = 6066*q**2. Determine f(j(p)).\nAnswer: 110389068*p**4 - 181980*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:45 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s**2 + 7*s - 13. Let v(f) = f**2 + 2. Let d(t) = q(t) + 3*v(t). Let y(r) = -4*r**2 + 3*r - 3. What is -6*d(i) + 14*y(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153630.\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - -2.04. Let u = -3 - p. What is the nearest to -0.1 in u, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 0*x**4 + 0*x - 11\/6*x**6 + 0*x**5 - 13\/3*x**3 + 0*x**2 - 13. Find the third derivative of d(c) wrt c.\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258 - -265. Let s = -75461\/234 + 2905\/9. Let q = s - -1\/26. Which is the second biggest value? (a) 2\/9 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78.9574 and 2?\nAnswer: -157.9148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -876 divided by -4?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.19. Let i be ((-6)\/9)\/((-8)\/(-6)). Which is the nearest to i? (a) w (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 9. Suppose 4*g - 1 = 11. Suppose -2*b = i, -b + g*i = i. Determine y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1084496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354831 is divided by 122.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 943 and 3634.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498*z - 999 = -609*z. Solve -16 = 9*d - 5*d - 2*h, 3*h = d + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31315.7 - -25622. Let v = 6144 + w. Let z = 415 - v. What is z rounded to zero dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(1694)*2)\/(sqrt(77)\/(sqrt(55)\/(sqrt(5)*1))*-5).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighteenths of a hour?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 15*o. Let z be i(-15). Solve z*g - 4*g - 13 = 5*f, 0 = -5*g - 4*f - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*p. Suppose 2*g - l - 2*l - 5 = 0, p*l = 3*g - 12. Suppose 0*k = 5*k - 15. What is the remainder when g is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 5. Let q be h(2). Let l(y) = -1. Let s(w) = w + 1. Let p(n) = -l(n) - s(n). Let j(a) = 2*a - 3. Determine q*p(c) + j(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a**2 + 4*a + 3. Determine f(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**6\/90 - k**5\/15 - k**4\/12 + 5*k**3\/9 + 4*k**2\/3 + 386*k. Factor v(i).\nAnswer: (i - 4)*(i - 2)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 5*k. Solve k*i - 10 = -0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*w - 13 + 3 = 0, m - 2*w = -10 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43109 + 0.43. What is y rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/7 of a week in days?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*m + 132*m = -1584. Find the common denominator of -31\/8 and 114\/m + 2 + 0\/5.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 n when four letters picked without replacement from {p: 4, n: 3, v: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 4, e: 7, k: 4, g: 1}. Give prob of picking 1 e, 2 y, and 1 g.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 211, 272, 279, 214, 59, -204?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1323*v - 1830. Let g be l(-22). Round g to the nearest 100.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150645 to the power of 1\/2, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = 2. Let w = 1158 + -939. Let x(r) = w + r - 219. Let u(a) = 16*a. What is p*u(j) - 42*x(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523 - 271. Suppose -5*y + y + u = 0. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18180\/1515)\/((-11)\/((-165)\/(-10)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 >= -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(9*v + 0*v + 5*v) to j + s*v and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*a - 22*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -0.4, -20, 16, -1\/156?\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4\/5 - 1368584*n**3\/5 + 117061148116*n**2\/5 + 93652203120*n + 93653298000.\nAnswer: 4*(n - 171075)**2*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -j - 32 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 19.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 2*h + 42. Let i(y) = -3*y**2 + y - 42. Determine -3*a(w) - 4*i(w).\nAnswer: 3*w**2 + 2*w + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -200000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.6 + 24.4. Let o = c - 27. Is 0.05 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -1308685.\nAnswer: 9\/1308685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 2*f + 4*f - 6*f - 5 + 4*f. Let s(r) be the second derivative of r**3\/6 - r**2\/2 + 5*r. Determine -i(j) + 2*s(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628 and 19069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 868*r**2 - 58735*r\/4.\nAnswer: -r*(r + 17)*(r + 3455)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -58626700 rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 13. Let n(h) = 2*h**2 - 6. Let i(v) = -2*c(v) + 5*n(v). Factor i(m).\nAnswer: 4*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4\/7, -1, -0.5 in descending order.\nAnswer: -0.5, -4\/7, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)\/(t\/((t\/t**10)\/t)))\/((t\/(t**5\/t)*t)\/t**(5\/2)))**(-4\/9) assuming t is positive.\nAnswer: t**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3203 - -67234\/21. Find the common denominator of (-92)\/345*-365*((-3)\/4)\/(-3) and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 2489*b - 66475. Let a be h(-27). Suppose -3*k = -5*n - 18 - 34, -5*k - 16 = n. Put -4, 1, a, n in increasing order.\nAnswer: n, -4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:33 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1\/3*w**4 - 4*w**2 + 0*w + 1\/15*w**5 + 0 + 0*w**3. What is the second derivative of c(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 - 228. Let p(w) = 4*w + 79. Let h be p(v). Solve 2*i + 1 = b, -b - h*b - 1 = -3*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 0. Let k(v) = 3*v - 3 - 2*v + 0*v. Let x be k(2). Sort x, j, 3 in decreasing order.\nAnswer: 3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 65. Which is the nearest to -1\/3? (a) u (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(-16 + 16 + 13*n) + (-n - n + n)*(2 - 3 + 0).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 5. Let a be w(-6). Let r = -4 + a. Solve -n + r = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = 12. Solve 5*d + 5*v + g + 4 = 0, 3*d + 18 = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1224049 + 36129062\nAnswer: 37353111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616 + 317.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-2 - -13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5, -0.021, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 103. What is the lowest common multiple of 108 and b?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-221)\/52 - -4)*4*-16. Solve 3*l + l + 3*f = -c, -2*l = -2*f + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1953022.\nAnswer: -3\/1953022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2 - sqrt(66))*-1 + (-5*1*sqrt(66) - sqrt(66)))\/((sqrt(6) + 3*sqrt(384))*-5)*2.\nAnswer: 6*sqrt(11)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*u + 0 = -2, 2*l + 2*u = -14. Let s be (-2*l\/(-20))\/1. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 450 = -4*g, -3*u - 2*g = -427 - 232. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -6, -19, -50, -105?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l**3 - 3*l**2 + 3*l + 1. Let s(y) = 16*y**3 - 6*y**2 + 7*y + 2. Determine 7*r(x) - 3*s(x).\nAnswer: 8*x**3 - 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -2.9. Let r = -10.129 - -10.629. Which is the nearest to f? (a) r (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let p(k) = -2*k. Let z(a) = -2*i(a) - 3*p(a). Let q(y) = -32*y. Determine q(z(c)).\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/10*3)\/((-4)\/(-60)). Suppose -54 + j = -3*w. Calculate the highest common divisor of 42 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 9*x + 9. Let s be i(8). Let f be 2630\/s*(-5)\/80. Let o = f - -164. What is the smallest value in -4, 0.06, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-6) - 2)\/(1\/(-3)). Let l(w) = -w**3 - 11*w**2 - 8*w + 12. Give l(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 16*b**2 - 3*b + 15. Let j = -52 + 54. Suppose -3*l + 4 = 5*p + 69, j*p + 52 = 4*l. What is the units digit of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 233*f**2 - 2. Let k(s) = s**2. What is k(i(j))?\nAnswer: 54289*j**4 - 932*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43294747 divided by 6?\nAnswer: -43294747\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -794*z + 28. Let c(r) = -391*r + 13. What is 9*c(a) - 4*k(a)?\nAnswer: -343*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 6*v**2 + 60*v + 233. What is the remainder when o(-7) is divided by 117?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 - 3*q**3 - q**3 - q**3 - q + 9582*q**2 - 511*q**2 to the form s*q**2 + b*q + m*q**3 + r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4 + 9\/(-6). Let u = 16 - 15.64. Let q = 4.64 + u. What is the biggest value in q, 0.07, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -450*z + 9441. Calculate d(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265d7a (base 15) to base 10.\nAnswer: 1842415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9494633 divided by 4.\nAnswer: 9494633\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 0 - -1*2. Let n(r) = -4*r**3 + 6*r**2 + 15*r + 32. Let c(b) = 5*b**3 - 6*b**2 - 17*b - 38. Let l(o) = 5*c(o) + 6*n(o). Calculate l(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7004 * -35\nAnswer: -245140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1123445?\nAnswer: 1123446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/216 and 77\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/195)\/(12\/1290) + -3 + 3. Do z and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1447589586 from 607.\nAnswer: -1447588979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26637 by 3.\nAnswer: 8879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let d(i) = 97*i. Give -3*d(m) + 6*u(m).\nAnswer: -303*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*a - 4*a + 6*a)*(0 + 3 - 2) + 18*a + 29*a + 9*a)*(2*a + a + 0*a) to l + r*a + y*a**2 and give y.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.103 + 56.467. Let v = j + -60. Round v to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 9871440134?\nAnswer: -9871440133.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m + 118. Let l(t) = 682*t**2 - t. What is d(l(w))?\nAnswer: -4774*w**2 + 7*w + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9495821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14800906 by 1.\nAnswer: 14800906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -149?\nAnswer: -7\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 840.0138us in seconds?\nAnswer: 0.0008400138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*j - 2*u, 0 = -j - 4*u - 94836 + 94889. Suppose -39 = c - 2*c - 4*s, -s + 54 = c. Sort c, -1, j.\nAnswer: -1, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*c, -5*i = -10*i - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, -6, -42, -92, -156, -234, -326?\n\"Answer: -7*h**2 - h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 5\/6*l**3 - 1\/15*l**5 - 12*l**2 - 1\/24*l**4 + 0*l - 1\/120*l**6 + 0. What is the units digit of i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6436*n**2 + 6441*n**2 - 12872*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10156 by -2539.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 46. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 0.1, -0.64, -3, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44125\/9 + 4903. Let f be (38\/2)\/((-20)\/8). Let t = 36\/5 + f. What is the fourth biggest value in -5, t, 0.5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1173 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1941878447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 15\/7, 0.2, 1\/4, 7, 1\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16 = 2*g, -1 - 19 = -5*g. Suppose 4 = 3*u - 11. Calculate the least common multiple of v and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-2\/9)\/(z*z**(-7)*z\/(z\/(z*z*z**(2\/3)))) assuming z is positive.\nAnswer: z**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11868.\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*v + 6004*v + 5306*v + 358.\nAnswer: 10289*v + 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 less than 183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10548*g - 9963*g - 49140 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005281126 rounded to six dps?\nAnswer: 0.000528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38000 and 35720?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - sqrt(468)*2) + -3 + sqrt(468) + ((sqrt(104) - 3*sqrt(104))\/sqrt(8)*-3)**2.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*w - 7*w + 20, 0 = 4*w + 3*f - 35. Solve 24 = 3*b - w*n, -3*n + 0 = 5*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 2*p - p, -10 = -2*p - 2*g. Suppose 3*l + 1005 = -p*l. Let o = -62 - l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3010\/3657 or -2?\nAnswer: -3010\/3657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 385*s - 15475. Determine c(39).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/9 - 8*z**2\/3 + 56*z\/9 = 0.\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*q + 113 + 33, -3*q = 4*s - 98. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1217*p + 1222*p + 136 = -5*n + 2442*p, -20*n + 4*p = 568 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13456734 - -0.1.\nAnswer: 13456734.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10237, -10232, -10225, -10216, -10205, -10192, -10177?\nAnswer: -10160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -2)\/(7\/(7\/(-2))). Let o(h) = 4*h**2 + 5*h - 5. Let n(k) = -172*k**2 - 165*k**2 + 335*k**2 + 2 - 2*k. Calculate m*o(a) - 5*n(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2586*q - 665. What is the hundreds digit of z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3. Suppose 12 = 3*p - 4*p - 4*m, -p + 8 = -m. Let o(x) be the third derivative of -x**6\/20 - x**2. What is p*b(j) + 5*o(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28224)\/(-12 + 4) - 10.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - 136. Solve -n*r = -3 - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 5:52 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Find the third derivative of o*i**2 + 2*i**3 - 2*i**3 - 5*i**4 + i**2 wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 >= -2317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -83. Let l = -69 + k. Suppose -l*r = -2*r - 50. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:54 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42417 - 42417 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*l + 2 = 0, 0 = 3*u - 6*u + 4*l + 10. Suppose 2*q = -4*a + 10, 0*q = -a - 2*q + 10. Solve 0 = -a*n - u*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v)\/(v\/(v\/(v**0*v))) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 2*p**2 - 43*p**3 - 24 + 28*p**3 + 4 + 8 + 9 to l*p + j + b*p**3 + d*p**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101.6 - -101.59908336. What is q rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*c = -12904, 6*c - 9668 = -3*s + 10*c. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400566466 + -0.1058.\nAnswer: -400566466.1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 894, 1158, 1422?\n\"Answer: 264*y + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**10)\/h)\/h)\/h*h\/h**(1\/2)*h**9\/(h*h**(-5)*h) assuming h is positive.\nAnswer: sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 36*f - 2. Let s be r(2). Suppose 3*a + s - 25 = 0. Let q = a - -37. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*r + 119 = -310*r - g, 3*r - 3*g - 117 = 0. Calculate the remainder when r is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 30. Suppose 2*c = -7 + 3. Sort 2, j, c in descending order.\nAnswer: 2, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8080 and -13\/10100.\nAnswer: 40400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 9*t + 1. Let l be r(6). Calculate the greatest common factor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10 and -109\/1792208132.\nAnswer: 8961040660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (183\/(-315) + (-2)\/7). Let n = -1\/15 + p. Which is the third smallest value? (a) n (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8736 times -0.5?\nAnswer: -4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 3663\/758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-10)\/(-7)*(-18)\/72?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 16*b**2\/9 + 62*b\/9 - 44\/9.\nAnswer: -2*(b - 2)*(b - 1)*(b + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46c (base 15) to base 4.\nAnswer: 33222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + d**4 - 3*d**4)*(-6*d - 6*d - 28*d) + 0*d**5 - d**5 + 6*d**5.\nAnswer: 45*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 1 + -15 + 26. Solve -2*p = -6*p - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272431, 9, -5.\nAnswer: -272431, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 397770.0726014 and -17.\nAnswer: 397753.0726014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 8*s + 10 = 0. Put s, -5, -4 in decreasing order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - 3*l + 0*l)*(-3 - 3*l**2 + 3) + 8 + 8*l**3 - 8)*((l - 2*l + 0*l)*(0*l + 4*l - 2*l) + 4*l**2 + 0 + 0).\nAnswer: 28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 5*u + 4. Let q be v(-4). Let t(j) = 2*j**2 + 26 + q*j + 18 - j - 8. What is the tens digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*h + 12, -2*b - 327 = -2*h - 323 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**8\/336 + s**7\/210 + 3*s**6\/20 - 5*s**5\/6 + 47*s**4\/24 - 5*s**3\/2 + 3*s**2 + 41. Factor k(q).\nAnswer: -(q - 3)*(q - 1)**3*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*1026\nAnswer: 9234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146292609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 c when four letters picked without replacement from ttctct.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 10*v - 12. Suppose 70*f - 76*f - 48 = 0. Let w be y(f). Solve -4*b + 1 + 11 = -w*d, 3*d - 4*b + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11\/3 + 4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*m**2 - 378*m**2 - 3*m**3 + 20*m - 20*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -413\/747 + 9\/83. Let d = 2577\/7 + -369. Let g be ((-5)\/10)\/((-180)\/48). Which is the closest to -2\/7? (a) v (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3 = -s. Let g(p) = -p**3 - 5*p**2 + 12*p. Let b be g(2). Is s less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1157, 12, 4, -83, 1, 3 in descending order.\nAnswer: 12, 4, 3, 1, -83, -1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, -2, -51, -152, -323, -582?\n\"Answer: -3*m**3 + m**2 + 3*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - 3) + 3 - -4) + 1 + -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggkk when four letters picked without replacement from gkkdgnnkrrnkd.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 21*w**2 - 22*w + 27. Let h be y(20). Let n(i) = -2*i - 18. Calculate n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296616, 296654, 296740, 296898, 297152?\nAnswer: 297526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, h: 2, b: 9, l: 1, y: 1}. Give prob of sequence hibi.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by -2 - (-11 + (-7 - -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14)*-11*(-9)\/528.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {n: 3, p: 5, b: 1, s: 4, q: 2, i: 5}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (-4 + 2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = -5*s, -2*q - 13 = -3*s - 29. What is the remainder when 13 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227710080 divided by 2880?\nAnswer: 79066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 6. Let c(a) = -2*a**2 - 4*a**2 + 5*a**z - a**2. Let o(v) = 22*v**2. Determine o(c(u)).\nAnswer: 88*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 44 + 23 + 24 + (-r + 0*r - r)*(-5 + 0 + 2).\nAnswer: 9*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x**3 + 5345*x**2 + x - 165949 wrt x?\nAnswer: -6*x**2 + 10690*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 + (-1 - -1). Let q be 4*(0 - 1)*w. Suppose 2*g + 5*r = 9, -q*r - 6 = -3*g + 42. 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: Expand (-3*q + 2*q + 0*q)*(-1 + 3 - 1) - 4*q + 2*q + 4*q + (q + q - 4*q)*(3 - 2 - 3).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-12) - 2) + -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*m - 0. Suppose 3*x - 5*i = 76, 0 = 2*x + m*i - 30 - 46. What is the common denominator of x and (2\/11)\/((-2)\/38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 852 and 6.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 25*f**2 - f**2 - 10*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfs when three letters picked without replacement from {z: 3, f: 1, n: 4, q: 1, d: 1, s: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by -16?\nAnswer: -155\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397983950?\nAnswer: 2, 5, 7, 13, 23, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2499, 1357, 215, -927?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 9*y - 9. Let g(k) = k**3 + 5*k**2 - 14*k - 1. Let a be g(-7). Let f be t(a). Solve 3*m = -4 - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (11 - -1 - 27) - 13.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i)*(4*i**4 - 2*i**4 + i**4) + 0 + 0 + i**5.\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 1. Let v(j) = 10*j**2 - 15*j + 15. Let y(r) = -15*l(r) - v(r). Let s(p) = -2*p**2. Give s(y(q)).\nAnswer: -1250*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1628 and 440.\nAnswer: 16280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhyhyhyhhhhh?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/660)\/((-20)\/(-75))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 + 234.079. Let g = n - -4.921. Sort 0, g, -4, -10 in decreasing order.\nAnswer: g, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -279*f - 76. Calculate s(1).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15773416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, 3, -6589.\nAnswer: -6589, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = -i + 1, -3*m - 24 = -2*i. Solve -3*l + 0*l = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 33*w - 378. Let h(x) = 3*x**2 + 58*x - 756. Give -7*b(p) + 4*h(p).\nAnswer: -2*p**2 + p - 378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23519 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhzz when four letters picked without replacement from wnknkwsnnnwnzkhsn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6788 divided by 852.\nAnswer: 1697\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 3, e: 2, j: 2}. Give prob of picking 1 e and 3 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22021, -87808, -197451, -350950, -548305, -789516?\n\"Answer: -21928*l**2 - 3*l - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8774266 to the nearest integer?\nAnswer: 2962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 613*a**3. Is v(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357 and 15?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + -3 + (-3 - -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + 71*y - 944. Determine j(-30).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.3 + 19. Let z = -4 - -7. Let t be (-2)\/4*(-2)\/z. Put a, t, -0.5 in decreasing order.\nAnswer: t, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, -5, 2\/13, 18949, -44?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 16*z - 14*z + 1005, 2*f = 4*z + 402. Calculate the remainder when f is divided by 111.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127009 is divided by 31748.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -360 (b) -8 (c) 0 (d) 3 (e) -258\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -1\/27*h**4 + 0*h**3 + 0*h + 121\/540*h**6 - 58*h**2 - 1\/135*h**5 + 121\/1890*h**7 + 0. Determine s so that q(s) = 0.\nAnswer: -2, -2\/11, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 330. Let y be t(0). Suppose 5*s - y = 10. Let j = -15 - -32. What is the highest common divisor of j and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let t = -477 + 618. Let v(o) = -116*o - 218*o - t*o - 3 + 3. Give w(v(d)).\nAnswer: -950*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1159)\/570) + 1443\/(-90).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2) + 0\/(-6). Suppose -6*w - 74 - 4 = q. Let m = 50 + w. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 4:20 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 57600 = 3*l, -3*b + 38400 = -b + l. Round b to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 13*i + 20 = -4*i, 2*a = 5*i - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0*o - 1\/24*o**4 - o**2 + 1\/120*o**6 - 1\/3*o**3 + 1\/30*o**5 + 0. Let k be u(-2). Does k = -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825877517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*n - 296. Let y be (2\/7)\/(-8 - (-1625)\/203). Suppose 16*z + y = 17*z. What is the remainder when n is divided by z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 99831?\nAnswer: 99831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 16\/5*j**5 + 8*j**4 + 13\/2*j**2 + 10*j**3 - 2 + 1\/2*j**6 + 2*j. Find o such that b(o) = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*g**2 + 250080*g + 7832000.\nAnswer: 4*(g + 8900)*(7*g + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8570 + -5765. Is c a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/340194*59)\/((-5)\/15*-4)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 48, -91, 3 in ascending order.\nAnswer: -91, -1, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 - 2*n. Suppose -y + 3*u = 9, 1 = y + 3*u - 2. Let p be i(y). Suppose p*q = 11*q - 345. What is the highest common factor of 46 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/17 - 12008*a\/17 - 5841960\/17 = 0. Calculate a.\nAnswer: -5470, -534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281 + -195. Find q such that 22*q**2 - 10 - q**2 - v*q - 2 + 9*q**2 = 0.\nAnswer: -2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2871 * 9.\nAnswer: 25839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/4 + (6\/(-234))\/((-64)\/1248)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499204197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g + 0*g**2 - 130\/3*g**3 + 107 + 107\/4*g**4. What is the third derivative of n(x) wrt x?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose b = -c - 9 + 39. What is the remainder when c is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/15 + 25*h**2\/2 + h + 21. Let r(p) be the first derivative of w(p). Determine r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 287.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 + 318\/(-30))\/(-3). What is the biggest value in o, -366, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -143, -238, -333, -428?\n\"Answer: -95*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 323315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101100100 - -100?\nAnswer: 100010101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*r - 3 - 7, -4*r + 31 = 5*f. Let l be 0 + (2 - f) + 2. Let u be (1 - (-8)\/2) + l. What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3191 = 8*y - 527. Are y and -333 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614675 divided by 24587?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 + 11*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18199\/70 - -260. Let u = h - -31\/280. Factor -1\/8*n**2 + 0 - u*n**3 + 1\/8*n**4 + 1\/8*n.\nAnswer: n*(n - 1)**2*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 2\/3*p**3 + 3*p + 1\/12*p**4 - 7\/2*p**2 + 0. What is the least common multiple of 14 and h(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 + -2 - (11 + 11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 3*t)*(t + 5*t - 4*t)*(-4*t**2 + 2*t**2 + t**2) to i*t**3 + u + b*t**4 + q*t + r*t**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 1\/80*i**5 + 17*i**2 + 7\/320*i**6 + 0*i**3 - 3*i + 3\/896*i**8 + 0*i**4 + 1\/70*i**7 + 0. Factor t(p).\nAnswer: 3*p**2*(p + 1)**2*(3*p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -6*(-2)\/4. What is the second derivative of -7*d**p + 3*d**5 + d + 0*d wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -119.6. Let h = -8.2 + y. What is the nearest to 4 in 2\/9, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141743848 divided by 35435962.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 68?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 46*b**3 - 3*b**2 + b - 52. What is the remainder when x(4) is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1728 = 3*d - 11*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50919793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**2 - 41*h - 45. What is the hundreds digit of j(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -264, -279, -306, -345?\n\"Answer: -6*n**2 + 3*n - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613424 = 114875*s - 114891*s. What are the prime factors of s?\nAnswer: 7, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6332928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25463.5129 take away 11?\nAnswer: -25474.5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + -25. Let z = y - -151. Factor 4*t + t**2 - z*t**3 - 3*t**2 + 61*t**3.\nAnswer: -2*t*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 - 2*t - 2. Suppose 2*v + 34 = 30. Let f(d) = -2*d**3 - 3*d**2 - 3*d - 3. Give v*f(y) + 3*u(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*z - 6. Suppose -4*d = -i - 16, -d - i = -0*d - z. Suppose -2*t - 5*x = -0*t - 81, 5*t + d*x = 245. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaaaaaaaaaaaaahaaa. What is prob of sequence ap?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*b - 105, 160 = -10*a + 2*b + 370 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35096086.\nAnswer: 2, 101, 173743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 + -24011?\nAnswer: -24141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205\/99 - 17\/9. Sort 0.3, -0.4, b, -1 in descending order.\nAnswer: 0.3, b, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -23*b**2 + 1658*b - 226. Give n(72).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -860.9057 + -0.0943. Let m = t - -869. Which is the fourth biggest value? (a) -0.1 (b) m (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -3442224120?\nAnswer: -3442224130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 656798*u**4 + 66*u**2 + 1109*u wrt u?\nAnswer: 15763152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 5:23 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7404*g**2 + 160*g**2 + 4757*g**2 - 2*g + 2408*g**2.\nAnswer: 14729*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835098383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 20 = a. Let l(c) = 6*c + 2. Let g be l(-5). Let h = g + 77. What is the remainder when h is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 - 2 + 2)*(2 + 5 - 2).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -67515.30169 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 686, 751, 828, 923?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, d: 4, o: 4, x: 3}. Give prob of sequence xwd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from {c: 3, x: 3, e: 5, l: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.290547327.\nAnswer: -1.452736635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/2 - ((7 - -3) + (-237 - -236)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 17*v - 55. Calculate s(9).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 5*q + 8. Let w(j) = j**3 - j. Suppose -2*x + 7 = 5. Let u(b) = x*n(b) + 5*w(b). What is the derivative of u(y) wrt y?\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 111011?\nAnswer: -110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 28138\/(-309518) + 1 + (-98)\/132\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180) + -4)*-3 - -4*(((sqrt(405) + -4)**2 - sqrt(405)) + 2).\nAnswer: -288*sqrt(5) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9231 - 1133016.\nAnswer: -1123785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/14)\/(9\/12). Suppose -636 + 2010 = l*i. List the prime factors of i.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 13, 11, 9?\n\"Answer: -2*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 33728?\nAnswer: -33736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-3)\/12)\/(3\/12). What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 + -8. Let t = -0.09 + 0.39. What is the fourth biggest value in -0.3, 3, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39964 is divided by 39960.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -60, -88, -132, -198, -292?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -93, -140, -187, -234, -281?\n\"Answer: -47*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21751, -21774, -21805, -21844, -21891, -21946?\nAnswer: -22009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/50)\/(114\/(-760))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12*4 + 13. Let l be 98\/x*(-18)\/(-7). Let -4*t - 7*t**3 - 4*t**5 + t**3 + 16*t**4 - l*t**3 + 16*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44688 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/120 - 7*k**5\/60 - k**4\/3 + 8*k**3\/3 + 19*k**2. Solve z(t) = 0 for t.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*m - 2 - 1495*m - 196*m to the form x*m + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:35 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16719 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4949, -9898, -14847, -19796, -24745?\n\"Answer: -4949*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*o**3 - 196*o + 71432 wrt o?\nAnswer: 234*o**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p - 12*p + 7*p - 16*p as t + q*p and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -515 - -624. What is the least common multiple of 2 and u?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 28770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046132 is divided by 186012.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*d - 173*d = -270 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 89*h**2 - 28*h - 195. Let v(a) = 32*a**2 - 10*a - 65. Determine 6*g(n) - 17*v(n).\nAnswer: -10*n**2 + 2*n - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198117306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446662 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 18*r - 0*r. Suppose r*o + 20 - 5 = 0. Put 1, o, -14 in decreasing order.\nAnswer: 1, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/8 of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115188045 is divided by 828.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192221272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -1024?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1500)\/(-24))\/25*(0 - -20). Suppose -4*p = -5*p + 18. Calculate the smallest common multiple of ((-225)\/i)\/(2 + 23\/(-10)) and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 89 = -2*h. Let o(z) = z**2 - 5*z - 7. Let n be o(10). Suppose h*g - 126 = 2*y, -5*y + n = g - 2*y. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25e7 (base 16) to base 5\nAnswer: 302303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 + 4*l**2 - l - 2. Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*a = 24, 2712*z - 2715*z - 2*a = 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**2 + 0 - 1\/15*o**5 + 0*o + 0*o**4 + 0*o**3. Determine q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 2, m: 4, p: 3}. What is prob of picking 1 g, 2 m, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 - 7*l**4 - 5 - 2 wrt l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684531.\nAnswer: 2684531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)**(-2\/5)\/(o*o**(-14)*(o**(-12)\/o)\/o))**(8\/5) assuming o is positive.\nAnswer: o**(984\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 5 + -3 + 1. Sort -3, f, 7 in descending order.\nAnswer: 7, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (27 - 25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1010333104?\nAnswer: 1010333103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/450 + 209*a**4\/90 - 419*a**3\/45 - 3*a**2 + 681*a. Find h, given that n(h) = 0.\nAnswer: -419, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:58 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2\/3)))**(-21)*(((c*c\/((c\/c**(-1))\/c))\/c*c)\/c)**(4\/19))**(23\/2) assuming c is positive.\nAnswer: c**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*-1 + (-22)\/(-4). Suppose f - 1 = -v - 0, v - h*f + 19 = 0. What are the prime factors of (-490)\/(-25) - v\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61831.5673 + -61826. Let u = -5.025 + y. Round u to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/84 - 3*i**6\/40 + 2*i**5\/5 - i**4\/24 + 7291*i**3\/6 + 1599*i**2 + 3. Find the second derivative of n(x) wrt x.\nAnswer: -80*x**3 - 54*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s. Solve -3*j = c + 3, -c + 2*j = -s*c - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1229248575 to the nearest integer?\nAnswer: 35061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1661610405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30*2*(125\/20 - 4). Calculate the highest common divisor of 54 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Let s(n) = n**2 - 3*n - 2. Let a be s(4). Let w(t) = 6*t**2 + 6*t**2 + 4*t**a - 5*t**2. Give c(w(b)).\nAnswer: -363*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -30. Let n = 5 - j. Solve n*c - y = 3, -4*c - y - 6 = y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.769\nAnswer: -2.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -2, 2 in increasing order.\nAnswer: -4, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 - 6*q + 2. Let m(k) = -5*k**2 + 6*k - 2. Suppose -r - 2*r - 21 = 0. Calculate r*m(s) - 6*b(s).\nAnswer: -s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*y - 388, y + 281 = 5*d - 225. Let f = -101 + d. Calculate the common denominator of (6\/(-15)*(-150)\/(-72))\/f and -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130 - -5?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 190 + (-71 - 35)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddodnqddyqmndyomqo. Give prob of picking 2 y.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 4592 = 6*t. Solve -t*x = -288*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 59 = 27*f. Let p be f + 21 + -7 + 4. Sort -5, 5, p in decreasing order.\nAnswer: p, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201153 (base 6) in base 3?\nAnswer: -210201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168649806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89710, 89671, 89634, 89599, 89566, 89535?\nAnswer: 89506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -4*p + 0*p**2 + 0 - 1\/54*p**4 + 0*p**3. Factor r(s).\nAnswer: -2*s**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 10812?\nAnswer: 32436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2 + 4*b - 12. Suppose -1 - 95 = 16*q. Let m(g) = -7*g**2 + 4*g - 13. Let v(l) = q*i(l) + 5*m(l). What is v(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34458303 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 11*k**2 - 85*k + 737. Give u(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/3 - 4\/(-6). Suppose v = -0*v. Suppose -5*b + g + 490 = v, b + 2*g = -3*b + 406. What is the greatest common factor of l and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -126.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5549719 (base 10) to base 13.\nAnswer: -11c4076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*s - 12 = 0, l + s = 5*s + 8. Solve -8 = -l*o + r, 2*r - 23 = -5*o - 0*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3429*g**4 - 1480*g**3 - 48194732*g**2?\nAnswer: 82296*g - 8880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 106\/(-3) + (-1)\/(-3). Let r be 19\/(-42) + (-10)\/q. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246*t - 17696 = 7224 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(308))\/sqrt(7))\/(-5*sqrt(36)) + 2.\nAnswer: 2*sqrt(11)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -238645683*m**2 + 107028*m - 12.\nAnswer: -3*(8919*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 4.6. Let m = q - 22.5. Let p = m + 18.99994. 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: Two letters picked without replacement from {h: 5, n: 1, j: 1, w: 2, u: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/11, -2\/9, 5\/4, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76)*5)\/((sqrt(40)\/sqrt(2))\/sqrt(5)) - (5 + ((sqrt(1216) - (sqrt(1216) + sqrt(1216) + -1))*-6)**2).\nAnswer: -43817 + 567*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40 - 68 = 0. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -246, -303, -360, -417?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267494 or -267703?\nAnswer: -267703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j - 2. Let c be d(4). Let a be c\/3*(-29 - 1). Suppose -5*s = x - 13 - 12, 0 = -4*x - a. Calculate the smallest common multiple of 2 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttxttxxl. What is prob of picking 2 t and 2 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-5 - -5) + 2 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 7*f**3 + 0*f**4 + 1323*f + 123*f**4 + 1052*f - 1298*f wrt f?\nAnswer: 1476*f**2 + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -20) + (-3 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 4*v - 14. Let p = -16 - -22. Let b be t(p). Suppose -6*r + 12 = -3*r - 2*l, 19 = 5*r - 3*l. Sort b, r, 1 in decreasing order.\nAnswer: r, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 33*f**2 + 15 + 35 - 50.\nAnswer: 29*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 - 18 = 0. Calculate the remainder when (-61*4\/2)\/(k\/2) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.82 + 0.18. Sort f, 0.4, 0.21.\nAnswer: 0.21, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1593.524.\nAnswer: 637.4096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 390.5189 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122752 divided by 56.\nAnswer: -2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebbbbbbbe. Give prob of picking 2 b.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2909634191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.005098ug in grams?\nAnswer: 0.000005005098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11304.697061 rounded to the nearest integer?\nAnswer: -11305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Let u = -0.1 + p. Let x = 0.5 - u. Put 5, x, -0.2 in increasing order.\nAnswer: x, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000295575 rounded to 7 dps?\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -777*y**3 - 9*y - 4 wrt y.\nAnswer: -4662*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0444365292 to 6 decimal places.\nAnswer: 0.044437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*j - 20*j = -152*j + 4836 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 + 245 = 5*k. Let r = -69 + k. What is the common denominator of r and -37\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-654)\/(-34) - -7 - 9672\/372?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**3\/6 - 5*d**2\/2 + d. List the prime factors of m(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 460931940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233959348?\nAnswer: 2, 7, 8355691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/3)*w*w*w\/(((w*w**(-1\/2))\/w*w)\/w)*w)**(-36) assuming w is positive.\nAnswer: w**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 (base 7) in base 2?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0, 4, 102, 42, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + 1*(1 + sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175)*-4 + 1 + -1 + 4))**2.\nAnswer: -70*sqrt(7) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bexwmxbexbhm. What is prob of sequence he?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajaaajaajaa. What is prob of picking 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 13*t - 49. Is r(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14019, 56458, 127189, 226212, 353527, 509134?\n\"Answer: 14146*a**2 + a - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5381?\nAnswer: 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 2154*g**2 - 4299*g + 2148.\nAnswer: -3*(g - 716)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:29 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/33 - 466\/(-22). Let i = v + -4. What is the highest common factor of i and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/132 - (-246)\/22. Let k = 14 - f. Let d = -10.7 + 11. Which is the third biggest value? (a) 2\/13 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 169 + 4*b + 180 + 163 + 2*b**2 - 493. Is 7 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 0, 2*h + 3*b = -b - 30. Round h to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 17*r**3\/6 + 329*r + 2. Let v(w) = -2*w + w - w. Determine i(v(c)).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/((-882)\/(-7)))\/((-6)\/(-27)). Are 205 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 77*w**3 + 77*w**2. Let o(b) = -14*b**3 - 14*b**2. Let q(y) = 5*j(y) + 28*o(y). What is the third derivative of q(g) wrt g?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.9 (b) -0.027 (c) 4\/7 (d) -2\/5 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*f + 4 = -8, 5*c - 16 = -4*f. Sort -1, c, 1, -17 in descending order.\nAnswer: 1, c, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*p = 11, -6 = -p - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5889*k + 11837. Give p(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3912728 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 33. Let b be h(-30). Suppose -5*k = -5*z - 175, -4*k - b*z + 15 = -3*k. Calculate the remainder when 31 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.9. Suppose -q - 5*u + 32 = 0, -6*u = -228*q + 230*q - 40. Which is the second biggest value? (a) y (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*k**6 - 18910*k**5 - 14*k**2 + 30323*k?\nAnswer: 3360*k**3 - 1134600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5.6.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:15 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 20\/25*5. Solve 0 = 2*j - 4*j - 4*t + x, 4*t - 22 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3276 and 24076?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 184 = 3*m. What is the remainder when 158 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p - 545. Let f be d(68). Let y(w) = -45*w**3 - 2*w**2 + w + 2. Calculate y(f).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(4\/11)\/c)*c*c*c\/c**(-10))\/(c**(1\/4)*c\/(c**(4\/13)*c)*c) assuming c is positive.\nAnswer: c**(7261\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*g = -461, -2*g + 3*g - 3 = 0. Let s be 2 - (4 + 392\/h). Is s >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50426 (base 8) in base 10?\nAnswer: 20758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -41. Solve -2 + j = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 - 226*a**2 - 67 + 135 to the form r*a**2 + n + f*a and give r.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 187856 divided by 472?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*k. Suppose 2*p - 5*g - 552 - 697 = 0, -k*p - 4*g + 1222 = 0. Suppose -8*m = -p - 119. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*t = 4*t - 12, 2*t = 5*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/9 + 20\/(-90). Is -19 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2922 * -0.5\nAnswer: -1461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 2. Let k be ((2 + 13)\/b)\/(-1). Let p = 31 - 26. Solve -5*y = -p - k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 6) to base 2\nAnswer: 11010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53132658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 - 5*m - 3. Is 18 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**25*i*i*i)\/i*i**(-1\/3) assuming i is positive.\nAnswer: i**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-2 - 8) + (24 - (19 + -8)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.224195 decades?\nAnswer: 42.24195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 2*w**3 + 0*w**5 + 0*w**5 + (-177*w + 177*w + 34*w**4)*(-4*w + 9*w + 0*w) + (-4*w**3 + w**3 + 0*w**3)*(-1 + 1 - 2*w**2).\nAnswer: 178*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvzvvzvvvvvv. What is prob of sequence zzvv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 = 17*n + 521. Solve n*p = 5*c - 25, -2*c + c = 5*p - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11289628939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 45665084.3 to the nearest 100000.\nAnswer: 45700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212120 + -10102201?\nAnswer: -1120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12\/35)\/((-750)\/(-1875))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8*w - 16. Let b be ((-4)\/8)\/(5\/w). Which is smaller: 2\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 12*h**2 - 70*h - 295. Determine i(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 172*o - 4238. What is c(-22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25343\/18 + 1408. Let b = -711 + 7117\/10. What is the common denominator of k and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 less than or equal to 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -48. Let h(o) be the first derivative of 0*o**2 - 2\/3*o**3 + j*o + 2. Let y(q) = -2*q. What is h(y(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (134\/268)\/(2\/12 + 0). Is (16041\/6)\/(r\/((-18)\/(-3))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17469355.\nAnswer: 5, 107, 32653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -5 + -2 + -4 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -108 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10*q - 82 = 8*q, 3*p - 2*q = 98. Calculate the least common multiple of 4 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.93596707 - 0.06442293. Let b = -33 - k. Round b to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343042490 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 29*i = 28*i - 5, 1 = -l - 3*i. Solve l*y - 7*y - 5*u = 20, 4*y = 3*u + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 69. What is b(-16)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - b**4\/8 + 7*b**3\/6 - 6*b**2. Let o be v(-5). Let j = o - -46. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 7*f**2 + 5*f + 8. Let i be z(6). Suppose i*m = -0*m - 2*l + 220, m - 2*l = 107. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 4*l. Determine y, given that 15*y + l*y**2 - y**2 - 15*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110 - 111000?\nAnswer: -100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 455 + 463. Let l(h) = 55*h**3 - h - 1. Give l(w).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52267.34 from 197080.\nAnswer: 144812.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 + 0.1. Let q = 4 + j. Let g = 0.6 - 0.3. Put g, 3, q in decreasing order.\nAnswer: 3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8079 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 115969, 231686, 347403, 463120?\n\"Answer: 115717*a + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/1205 or 22\/13?\nAnswer: -24\/1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 29584 + 70265\nAnswer: 99849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i**2. Let x(l) = -14*l. Determine z(x(n)).\nAnswer: -6272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*u - 24 = 0, -5*q + 5*u + 27 + 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 3*s - 3. Let r be (-11)\/3 - (-3)\/(-9). Let v be z(r). Is v bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z + 33. Let f = z - 13. Find q, given that -f*q**4 + q**3 + q**4 + 3*q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1619 + -474. Suppose 0 = -7*p + 2*p + f. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rii when three letters picked without replacement from {r: 2, i: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t - 26*t + 4*t - 25*t**5 wrt t?\nAnswer: -500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*n = -22, m + 3*n = -4*m. Calculate the common denominator of -1 - m - (-940)\/250 and -20\/13.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 1505 = -3*j. Let i = j - -541. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89224 - -89222.43258. What is b rounded to two dps?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u - 1. Let q = 6 - u. Suppose 2*r + 3*r = -2*b + 222, -q*b - r + 555 = 0. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 83. Let i be (13\/(-4) - (-1)\/1) + j. Which is the closest to -2? (a) 3 (b) i (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-78))\/(23\/46)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1183245*i**2 + 15*i**3 + 1183245*i**2.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1037027670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595 and 388043530.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*w**2 - 139*w**2 - 241*w**2 + 50*w**2.\nAnswer: -605*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/6 + 11\/2. What is the closest to 0 in -1\/4, 0.3, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/59)\/l*l**(-1\/5))**28 assuming l is positive.\nAnswer: l**(-10192\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2068 - 96 = 0. Let h = 848 - r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 40, 15, -14, -47, -84, -125?\n\"Answer: -2*r**2 - 15*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 318180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, f: 6, j: 1, y: 6}. What is prob of sequence aff?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55069815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 - 1. Let f(r) = -9*r**3 + 8*r**2 + 12*r + 5. What is f(t) + 6*i(t)?\nAnswer: -3*t**3 - 4*t**2 + 12*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 + 6. Let c(a) = -a**2 - 9*a - 2. Let x be c(-9). Let d be v(x). Is (10\/d)\/((-3)\/8685*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 770 = 5*a, 5*a - 4*m + 740 = 0. Let g = a - -250. What is the greatest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 5336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7*k + 2*k = 0. Let g be -1 - (k + (-52)\/16)*4. Let n = -6 + g. Solve -2*o = n - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - f + 72. Let b be w(0). What is the greatest common divisor of b and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19580 + 19579.9. What is the third biggest value in p, -32, -1.6?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:11 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(5*12\/8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*q - a, 0 = -4*q + 4*a + 19 + 17. Suppose 9*n - q*n = 50. Do n and 24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i**(-2\/19)*(i**1)**(-11\/4))**(-31) assuming i is positive.\nAnswer: i**(8587\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (22 + -2 - 13) - (-11 - 1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, z: 1, x: 1, q: 1, t: 1}. Give prob of picking 1 a and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240067 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1156722 to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 21. Let o be y(-6). Solve o*h - 37 = 5*c, 2*c + 3*c + 13 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 1, n: 2, z: 3, o: 2, g: 4}. Give prob of picking 3 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 4. What is the smallest common multiple of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 50 + 118 = 0. What is the least common multiple of 18 and (63\/i)\/((-5)\/(-60))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 2 e when four letters picked without replacement from gmhee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2674 (base 10) to base 3.\nAnswer: 10200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320481499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (325\/11700)\/((-1)\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*o - 40, 0 = 36*y - 43*y + 4*y - 3*o + 66 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 + 5*g - 1. Determine c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21876 - (1 + 0))*75200\/(-70). Round b to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 - 22*i**4 - 13*i**4)*(0*i - i + 3*i) - 878*i**4 + 120*i**5 + 878*i**4.\nAnswer: 52*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7185332 + 2796023 = -5*b, -b + 7985114 = 4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1a59113?\nAnswer: 1a59110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1098, 2197, 3296, 4395, 5494?\n\"Answer: 1099*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111010?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1416 + 1415.9832. Let q = 27425.6832 - 27452. Let u = q - b. What is u rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 17*k - 77*k - 55*k to r + d*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19fc21 + b?\nAnswer: 19fc2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h - 8 = 0, -4*y = 3*h - 96. What is the greatest common factor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3683 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 438 and 4062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -946, -945, -944, -943?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 2*x + 4*x)*(-8 - 6 + 9 + 2*x**2) as n*x + t*x**3 + o + j*x**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 times -0.4?\nAnswer: -368.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-4)*t**(6\/7))\/(t**23*t\/((((t*t**4)\/t)\/t*t)\/t)))**44 assuming t is positive.\nAnswer: t**(-6820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*d + 1603 + 86*d - 1603 in the form y + u*d and give u.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 288*l + 7498 + 4816 = 410*l for l.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/3570 and 49\/1812.\nAnswer: 1078140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70663\/11 - -6429. What is the common denominator of d and (2 + 21)*(-10)\/50?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {b: 6, i: 3, k: 1, d: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -63\/2. Suppose -5*l + 8 - 18 = 0. Which is the nearest to k? (a) -0.2 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 19*g**2 - 22*g + 62. Let r be v(18). Which is greater: r or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -1464, -1978, -2490, -3000?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42a2891 (base 11) in base 5?\nAnswer: -3413332421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3*g. Suppose -5*s + 13 = -12, 4*h + 9 = 5*s. List the prime factors of q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 23*p - 158 - 232 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**3 + 52*x**2 + 18*x - 15. What is f(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 11. Let g be (-4)\/x*(-5)\/10. Let h = 181 - 902\/5. What is the third smallest value in h, g, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 81, 12, 3, -37 in decreasing order.\nAnswer: 81, 12, 3, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2. Let r(m) = 2*m + 6. Suppose 13 = 3*a - 17. Suppose 0 = -3*p - 3*x - 12, -2*p - 2*x + 4 = -3*x. Suppose 3*c + 14 + a = p. Give c*i(h) + 3*r(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, -0.4, -1, 1473?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + -6 - 13) + -15 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (10 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*b, 2*b = 3*r + 12 - 18. Suppose r = 32*u + 8*u - 80. Solve -5*c - 35 = 4*v - u*v, -40 = 5*c + 3*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2724 - 2724. Solve -5*o - 20 + 5 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132035 + 0.09.\nAnswer: 132035.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, b: 1, r: 2, z: 3, n: 3, m: 1}. Give prob of picking 1 r and 2 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen quarters of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/353 or 1?\nAnswer: 12\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67847318.\nAnswer: 2, 7, 11, 440567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 - 1. Let f be (-7)\/(-2)*24\/14. Suppose -b = -3*r + f, -r + 2*b = 7*b + 14. Let t be r\/6 - 3\/18. Determine h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let m(c) = 8*c - 4*c - c**2 - 1 + 5*c. Let n be m(9). Is z less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 + 3*u**2 - 6*u**2 - 8 + u + u**3 + 4. Let s be q(2). Let r be -1*((-9)\/(-1))\/(-3). Sort -2, r, s in descending order.\nAnswer: r, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -17\/2 (c) 13.3 (d) -464 (e) 4\/9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -118. Solve m - 27 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 - 7*g. Calculate v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -8, 0.101, -6.4, 0.3 in decreasing order.\nAnswer: 0.3, 0.101, -4, -5, -6.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 1. Suppose 0*d - m = 2*d - b, 2*d - 2*b + 2 = 0. Let a(k) = -8*k - 3. Let c(p) = -7*p - 3. What is d*c(f) + 5*a(f)?\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*y - 14. Suppose -4 = -4*r - y*m, r - 2*r + 5*m - 10 = 0. Solve -4*s = -r*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182632043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253\/10 - -139\/5. Which is the nearest to -5? (a) 2\/21 (b) k (c) -49 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 42. Suppose -5*j + g + 62 = 0. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*t = 23, 2*w + 2*t + 1 = -w. Solve 4 - 15 = w*d + k, 4*d - 3*k = -32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 59*j**2 - 3*j - 2. Let d be x(-1). Let k = d + -60. Suppose u + 13 - 8 = k. Put 5, 4, u in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898.6362ms to minutes.\nAnswer: 0.01497727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:59 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49850 and 4.\nAnswer: 99700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-10))\/(6\/(-20)). Let k be (u\/6)\/(4\/18). Factor -2*l**2 + 4*l**4 - 2*l**4 - 2*l**3 + 5*l**5 - k*l**5.\nAnswer: 2*l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92988 by 23247.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37143111 + -68543111. What is n rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 29. Suppose 0 = -4*g + 35 + 5. What is the least common multiple of g and (-38)\/(-4) - (12\/8 - a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 29475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12 and 87\/274.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1306729?\nAnswer: 522691.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -40. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - 9 - (7 - (-50 - 5))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -91?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-154)\/(-10) + 4\/(-10). Let j be (3*(-6)\/(-9))\/((-4)\/(-6)). What is the greatest common divisor of x and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 a when three letters picked without replacement from aaaaagavaagavga.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - -0.1. Let j = 0 + l. Suppose 3*t + 3*i = 0, 2*t - 2*i = 7*t + 15. Which is the closest to j? (a) 2\/15 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 11728\/237, -69?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 - 16.231916?\nAnswer: 1055.768084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**8\/28 - v**4\/12 + 10*v. What is the third derivative of f(d) wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 786238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/48)\/(2\/(-8)*-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/41 - -3897\/82. Calculate the common denominator of -41\/42 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3237 + -4630.8880538?\nAnswer: -1393.8880538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26998, -53995, -80988, -107977?\n\"Answer: 2*k**2 - 27003*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdgdvvdddigviii. Give prob of sequence dggd.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11403738 divided by -11403738\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-129) - 2\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - h**2 - h - 2. Let o(g) = 2*g**3 + g**2 + 2*g + 3. What is -4*o(f) - 6*t(f)?\nAnswer: 4*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-2 + 342\/165))\/(2\/(-33))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33\/52 - -3\/26. Suppose -42*i + 7 = -35*i. Let m(k) = -2*k**3 - 3*k**2 + 2*k. Let r be m(i). What is the biggest value in 5\/3, c, r?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003041968 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 + b + 5. Let k be j(-4). Suppose -9 = -5*r + k. What is the derivative of -2 + 2*h - 3*h + r + 1 wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125697 + 22668 = 178*p - 305535. Calculate the highest common divisor of 1050 and p.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1017 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-13\/5)*o*(o\/(o*o**(1\/4)))\/o)\/(o**(2\/15)*o**(4\/9)) assuming o is positive.\nAnswer: o**(-437\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2963 - 602. Let j = 3354 - a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618924 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 9*s + 9. Let y(u) = u**2 + 9*u + 9. Let t(r) = -5*c(r) + 4*y(r). Calculate the remainder when t(-6) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) - 2\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -43. Let u = 18 - f. Suppose -2*k + 6*k = 0. Sort -1\/4, k, u.\nAnswer: u, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*i + 1626 = 127*i. Solve -i*s + 9 = 3*a, 6*a - 7*a + 2*s + 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*4)\/6*(-2)\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -56.35 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 4:28 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:35 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -224334 divided by 112167\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.25995735 rounded to 4 decimal places?\nAnswer: 4.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*h + 16 = 0, h = -a + 2*a - 8. Suppose a*j = 3*j + 245. Let g(z) = -2 + 2 + j*z - 56*z. Let m(v) = 3*v. What is g(m(s))?\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457095 is divided by 232.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6585 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 n(b) = 1. Let r(k) = -2*k**3 - 3*k - 2. Suppose -2*w - 2*v = -256, 122 = -0*w + w + 4*v. Let q = w + -134. Give q*n(u) - r(u).\nAnswer: 2*u**3 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100222122 (base 4) in base 14?\nAnswer: 1ac30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -9*v - 592. Let z = v + 442. Is 35 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70428.\nAnswer: 2, 3, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - y - 11 = 0, 4*y + 25 = -5*u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 6, 0.2, -1, -10.49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-1\/28)\/((y\/y**0)\/(y*y**(-2))))**(-17) assuming y is positive.\nAnswer: y**(2363\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 + 2*b - 2. Suppose -5*r + r - 92 = 0. Let t = -28 - r. Give x(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**2 - b**2 + 3*b**2)*(2*b - 2*b + 2*b) - 28651*b + 28651*b + 368*b**3 + 11 + 6 - 15 + 5*b**3 to the form j + c*b + x*b**3 + m*b**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*b*m*z**3 + 2*b*m - b*z**3 - 416*b*z - 2*m**2*z**3 + z wrt m.\nAnswer: 132*b*z**3 + 2*b - 4*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10609.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(56)\/(sqrt(14)\/sqrt(7)) - sqrt(28))**2 + (-5*(sqrt(343) - (sqrt(343) - (2 + sqrt(343)))))**2.\nAnswer: 700*sqrt(7) + 8703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*p - 179*p + 134*p - 6*p in the form t + l*p and give l.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 2)*(-6 + 7). List the prime factors of ((-12)\/10)\/(n\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 14 = -2*l, -5*m - 7708 + 7686 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9069 + -9034. Which is the third biggest value? (a) -0.4 (b) -2\/7 (c) -2 (d) n (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 2*c)*(3 - 5 + 1) + (194 + 6*c - 194)*(3 + 2 - 4) - 2*c + 0*c + 3*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/4 - i**3\/3 - 6*i - 3012. Determine s(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -0.14495.\nAnswer: 0.11596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4877869 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from buvcrcuz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 8*y - 2*y)*(-9*y - 3*y + 2*y)*(-1 + 1 - 5*y + (2 + 3 - 2)*(5*y + y - 4*y)).\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**4 + 162*t**2 + 105. Let d(a) = -2*a**4 - 161*a**2 - 104. Let n(s) = -7*d(s) - 6*z(s). What is the derivative of n(b) wrt b?\nAnswer: 8*b**3 + 310*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13 + 1 - 2*k**2 - 15 + 3*k**2. Let z be 2*-5 - (-675)\/75. Let n(m) = m - 3*m - 7 + 1 + 3*m**2. Give z*n(a) + 5*o(a).\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/12 - 14*u**2 + 113*u\/4 - 1719. Determine z so that l(z) = 0.\nAnswer: -113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {n: 6, b: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q - 12. Let n(w) = -w - 1. Let y be n(q). Suppose -2*c = y*g + 1 - 25, -2*g - c = -22. Calculate the highest common factor of g and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465720 divided by 2?\nAnswer: 732860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2. Suppose 6 = 4*f - 2*f. Suppose 0 = -2*l + 2*q - 4, 0 = -4*l - f*q + 20. Let p(m) = 4 - m**l + 0 - 4. Determine b(p(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 15\/371 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25426 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let v be b\/2*(-6)\/(-1). Sort v, 1, -3 in descending order.\nAnswer: v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*p = 62, -4*k + 60 = -5*p + p. Suppose 0 = -6*l + k - 1. Solve -l*q + 5*q = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 12*h. Solve -a = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5785 (base 9) to base 14\nAnswer: 17c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (45 + -59 - -80).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14037, 14033, 14027, 14019, 14009, 13997?\n\"Answer: -n**2 - n + 14039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 522541 + 10?\nAnswer: 522551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6568453 millennia?\nAnswer: 656.8453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 110 - 116 + 226.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 789 = -5*h - 254, 3*h = -3*z + 321. Calculate the remainder when 961 is divided by h.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + k + 2. Let d(b) = 18*b**2 - 5*b - 8. Let t(g) = 15*g**2 - 4*g - 7. Let v(h) = -2*d(h) + 3*t(h). What is 14*f(r) + 6*v(r)?\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1000111111?\nAnswer: -1001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 733697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/210 - 13*p**5\/60 + 17*p**4\/24 + 112*p**2. What is the second derivative of l(o) wrt o?\nAnswer: 12*o**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 2. Suppose 0*i = 2*i - 6. Let q(y) = -10 + i*y - 5*y + 3*y + 11. Let b(h) = -2*h**2 - 5*h - 4. Calculate u*q(c) - b(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9590019?\nAnswer: 3, 1429, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/5 - -5)\/(-2). Is (20 - 22)\/(k\/52) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 129812 = 3*o, -94*l + 90*l + 173008 = 4*o. Is o a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 24*p**2 + 3*p. Let f(y) = 16*y**2 + 2*y. Calculate -7*f(x) + 5*z(x).\nAnswer: 8*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 0. Differentiate n - 3 + d**2 - 2*d**2 wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 616155 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.215184 hours in nanoseconds?\nAnswer: 29574662400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 19. Let g = -494 - -486. Give x(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**2 - 16*n + 0 + 1\/39*n**3 - 1\/78*n**4. Factor v(q).\nAnswer: -2*q*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -15.6. Put -0.2, 3\/7, y in descending order.\nAnswer: 3\/7, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 580*z**2 - 9521*z - 8940.\nAnswer: (z - 596)*(z + 1)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 3*k + 3. Let h be x(1). Solve -3 = v - h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.5, -3, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/5*1820\/39. Let x be (-47)\/(-7) - (-16)\/c. Suppose x*k - 4*k = 30. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 953454870 to the nearest 1000000.\nAnswer: 953000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-4) + 234\/12. Suppose y*i - 23*i - 30 = 0. Sort i, -4\/5, 0, -1 in descending order.\nAnswer: 0, -4\/5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 14. Let i be q(-12). Suppose -3*l + 3*t = l - 13, 9 = i*l + t. Solve l*g = 19 + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(243)*-2 + -5 + sqrt(243)*-2*1))**2 + -2.\nAnswer: 12960*sqrt(3) + 140866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 23357*b**2 + 3*b**3 - 25 + b**3 + 23356*b**2.\nAnswer: 4*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -4123.5.\nAnswer: 37111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -324 + 100. Suppose 1 + 23 = 3*w + 4*x, -5*w - 5*x + 35 = 0. Calculate the highest common factor of w and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(4\/(-3) + 1). Let g be 1\/t + 40\/12. Find the first derivative of -h + g*h - 1 + h wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x + x + (5 - 5 + 3)*(x - 3*x + x) + (1 + 4 - 3)*(2*x + 3*x - 7*x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4182*b = -4177*b + 30 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**4 - 24*b**3 + 20*b**2 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 316*k - 5. Let d(z) be the third derivative of z**4\/12 - 5994*z**2. Give d(y(n)).\nAnswer: 632*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let n be ((-2)\/7)\/((-1)\/(-2)). Let h = -3.5 - -3. Put y, n, h in increasing order.\nAnswer: y, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19417 (base 10) in base 11?\nAnswer: -13652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 152426033?\nAnswer: -152426027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192535 litres in millilitres?\nAnswer: 192.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 59 = 19. Solve i**4 + 16 - 60*i + 6 + 14 + 13*i**2 + 6*i**3 + l*i**3 = 0 for i.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6366 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/5 + 598*z**4\/5 - 2958*z**3\/5 - 4156*z**2\/5 + 2959*z\/5 + 3558\/5 = 0. Calculate z.\nAnswer: -1, 1, 6, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 58 = -5*d + 25, 4*d = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -45*x**2\/2 - 52*x + 69. Differentiate p(q) with respect to q.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*0\/5. Let o be 1 + -2 + 3\/15. Is p equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 4*u**2 - 7*u - 5. Let y(z) be the second derivative of z**5\/5 + 5*z**4\/12 - 4*z**3\/3 - 3*z**2 + 2*z - 21. Give 6*d(r) - 5*y(r).\nAnswer: -2*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6442642.\nAnswer: 2, 3221321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175750016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z + 3*u - 28, 7 = z + 5*u. Suppose 0 = -4*o + 4*q - z*q + 11, -4*o - 4*q + 12 = 0. Solve -n + o + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/9)*k**(-5\/4))**(-2\/19))**21)**49 assuming k is positive.\nAnswer: k**(18179\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110280069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 45. Let r be o(-7). Solve 0 = r*h + 5*q - 19, -2*h + 4*q - 28 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = -8. What is the remainder when 26 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 219370722*a**2 + 45497384 wrt a?\nAnswer: 438741444*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h - 5*h - 258 - 276 - 283 + 854. Calculate b(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31400585, -31400578, -31400567, -31400552, -31400533?\n\"Answer: 2*d**2 + d - 31400588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*s)*(2*s**3 + s**3 - 2*s**3) - 14 - 39*s**3 - s + 42*s**3 + s**4 + 7.\nAnswer: 3*s**4 + 3*s**3 - s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -0.3, 1, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let f(b) be the first derivative of 9 + 0*b + 3\/2*b**2. What is f(q(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/3*(-4)\/10. Suppose 2900 = 98*v - 73*v. What is the third biggest value in s, 2\/3, v, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/8)*a)\/(a*a\/(a\/(a\/a**(-1\/6))*a))*a**28*(a\/a**(-22\/7)*a)\/a assuming a is positive.\nAnswer: a**(5309\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 - 2*g**4 + 2*g**4 + (3 + 1 - 5)*(-3*g**4 + 4*g**4 - 5*g**4).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19111 (base 12) in base 10?\nAnswer: -36445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 7) to base 2.\nAnswer: -1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -164, -249, -334, -419, -504?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-8)\/(-60))\/(-1))\/((-24)\/9). Let n(a) be the second derivative of 1\/4*a**4 + o*a**5 + 0 - 3*a + a**2 + 2\/3*a**3. Determine n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/18)*m*m*m)\/m*(m\/(m\/(m*m**13\/m)))\/m*m*m\/(m\/(m\/(m*m**(5\/2)*m)))*m*m*m\/m**16*m assuming m is positive.\nAnswer: m**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-7) - -1 - 14) + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 188 = -m + 5*m, -25 = -m - 5*c. Let p be (18\/m)\/((-42)\/10). Let d = -363\/7 + 52. Sort -3, d, p in ascending order.\nAnswer: -3, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -2, 925.16, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 - (88 + (22 - 115))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {s: 1, h: 2, y: 2, x: 1, d: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 6:18 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-15) + (-93)\/(-155).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1507, -3011, -4515?\n\"Answer: -1504*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -26*p**4\/3 + 31*p**3\/6 - p + 21. Find the second derivative of c(w) wrt w.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - 1\/(-3). Suppose j = -4*a - 12 + 64. Suppose 5*v + a - 3 = 5*s, -3*s - 34 = 5*v. Is -3 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35500 take away 1435774540?\nAnswer: -1435739040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.11 (b) -0.5 (c) 1\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*o - 109*o = -6. Which is the fourth biggest value? (a) o (b) 0.27 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 11*r + 144. What is v(18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 2\/((-4)\/32*4))*(-59)\/(-6)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.8. Let w = -0.0518 + -1.9802. Let o = -0.032 - w. Which is the closest to j? (a) -1 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/7 (c) -1\/5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1537 and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6159265 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 2. Is (-45)\/t - 2\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3795*w - 3796*w + 4383 + 11159 to the form u + r*w and give u.\nAnswer: 15542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.51 + 20.41. Let g = 6 + -6.4. Suppose 3 - 5 = -2*i. What is the closest to i in g, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7194 = -5*l - 3*i + 122, 0 = -5*l + 3*i + 7334. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15 + -3 + 46\/30\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*q - 5*q**3 + 39*q**3 + 7*q - 85*q.\nAnswer: 34*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let m = 51 - 51. Suppose -q - 13*q + 42 = m. Solve -q - c = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-7 - (0 + -2)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 17934*t**2 + 1798400*t + 135005000\/3.\nAnswer: -2*(t - 27001)*(t + 50)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**9\/1680 - j**8\/224 + j**7\/840 + j**6\/40 - 5*j**4\/2 - 18*j**2. Let g(a) be the second derivative of w(a). Factor g(m).\nAnswer: 3*m*(m - 3)*(m - 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 3. Let o(h) = -h + 5*h - 3*h + 1 - 2*h. Suppose l = 4*l + 3. Let t(i) = -3*i - 1. Let g be t(l). Determine g*f(w) - 5*o(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57040*m**3 - 32228 - 32227 + 64455.\nAnswer: 57040*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scssfccfccfcccff. What is prob of sequence sffs?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u**0*u))*u*u**7)\/(u*u**(-1)*u*u\/(u*u**(5\/2)*u*u)) assuming u is positive.\nAnswer: u**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 + 2*j - 1. Let m(i) = 2*i**3 + 8*i**2 - 7*i + 4. Calculate 2*m(c) + 7*n(c).\nAnswer: -3*c**3 - 5*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbbix. Give prob of sequence xb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 420*u - 2270. Give i(75).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -27*q**2 + 159*q - 207. Determine c(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*0\/(-14)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.5? (a) 0.4 (b) -58 (c) 0.1 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8594351695 - 5?\nAnswer: -3.1405648305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from madmaadaawdmddmmaaa. Give prob of sequence da.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5412747833.\nAnswer: 29, 109, 1712353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 3031. Let x(z) = -5*z**2 - 545*z. Calculate m(x(g)).\nAnswer: -15*g**2 - 1635*g + 3031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(11) - sqrt(77)\/(sqrt(21)\/sqrt(3))) - (0 + 2 + sqrt(11) + sqrt(11))) + 4)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704895399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5 + 35*j**4 - 35*j**3 - 115*j**2 + 40*j + 80 = 0 for j.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 25 + 7. Suppose -6*t = y - 2*t - 99, 0 = y + 2*t - 97. Suppose g = -4*b + y, 0*g - 185 = -2*g - p*b. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 44 = -12*p - 8*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k. Let p = 0 - k. Find the second derivative of i**2 + p*i**2 + 0*i + i wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350159 divided by 149.\nAnswer: 350159\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35 - -27 - (-1264)\/156)\/66. Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 5:02 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524 + -538. Do k and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11104243102 (base 5) to base 10\nAnswer: 12181027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1161 - 1546321?\nAnswer: -1550512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - (27896 + -17)\/3. Are z and -9298 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w. Suppose w = 3*t - 17 - 22. Suppose -o + 5*g = 9, o + 4*g = -4*o + t. Solve m + o = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328050584 to the power of 1\/2, to the nearest integer?\nAnswer: 18112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 231787 times -0.0326\nAnswer: -7556.2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*m + 5 = 32, -50 = -3*b - 5*m. Let v = -11 + b. Differentiate -3*n**v + n**4 - 3 + 4 with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 998*h + 202965. Calculate o(-654).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 4, 57, 0, -2 in decreasing order.\nAnswer: 57, 5, 4, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.33 rounded to one dp?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -250. Let x(w) = w - k*w + 16*w. Let u(t) = 20*t**2 + 1. Calculate x(u(c)).\nAnswer: 40*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 1. Let s be g(-9). Let w = s - 30. Put w, 0, 2 in decreasing order.\nAnswer: w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/60 - m**4\/6 - m**3\/6 + 19*m**2 - 6*m. Give j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m**(-1\/3)\/m)\/(m**(3\/5)*m\/(m**(4\/9)\/m)))\/((m*m**6)\/m**3*(m**(-1))**13) assuming m is positive.\nAnswer: m**(293\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*c**3 + 15*c**3 - 23*c**3.\nAnswer: 217*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 7859*c - 3731*c.\nAnswer: 4128*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (84\/(-20))\/(-6*4\/1160). Solve -6*c - i = -215 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1394 divide 943738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*k = -0*k + 65, 0 = -j - 3*k - 17. What are the prime factors of (24\/j)\/((-24)\/2320)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from erueubvs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 932 = -4*j, 12 = -m - 4*j + 208. Let c = -124 - m. Let p be 164\/c + 4\/(-22). Sort -5, 1, p in ascending order.\nAnswer: -5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose w*b = 2*b - 4. Calculate the smallest common multiple of (-230)\/(-15) - (-4)\/6 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1323)\/56 - (-275)\/440?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -18. Suppose 5*c + s*k + k - 226 = 0, -5*k + 79 = 2*c. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0 + 40 + -28 + 53 + -4.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/4 + 91*o**3 - 7115*o**2\/2 - 961*o - 4. What is the derivative of t(g) wrt g?\nAnswer: 6*g + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 3*s + 23, -w - 2*w - s = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 67. Sort -2, 5, q in decreasing order.\nAnswer: 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 522*c**2 - 216 - 160*c - 140*c - 2308*c**3 + 2119*c**3 + 15*c**4.\nAnswer: 3*(c - 9)*(c - 2)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + 3107280 + -29 + 48. What is w rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -31\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.9 - -4.1. Let w = -21 + i. Let g = 1.1 + -0.1. What is the second biggest value in g, 2, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5901560 and 22540.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.501682 to two dps.\nAnswer: -416.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15182*z + 14. Let p(f) = 341596*f + 316. What is -7*p(l) + 158*u(l)?\nAnswer: 7584*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -66. What is the highest common divisor of c and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 11) to base 13.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(33\/(-5) + 6). Let b(i) be the first derivative of -3*i + 0*i**2 + 0*i**3 - 1\/5*i**a + 0*i**4 - 4. What is the derivative of b(q) wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*k + 17, -59*k - 3*u = -55*k - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268964 is divided by 1359?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmcmhcplec. Give prob of sequence lhp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 548 and 158372?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 + f. Let w be 4 + -6 + -1 + 5. Let q be 1\/3*0 - w. Calculate the remainder when 2 is divided by x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3388)\/(-605))\/((-4)\/10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(2*x + 3*x - 7*x)*(3*x - 2*x + x)*(0*x**2 + 3*x**2 - x**2) to u*x + t*x**2 + n*x**4 + h*x**3 + b and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14565, -58263, -131095, -233061, -364161, -524395?\n\"Answer: -14567*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-432))\/((-4)\/72)*5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -398 and 611919070.\nAnswer: 611918672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 16. Let v(t) = 17*t + 62. Let l be v(-4). Give w(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 140 = 20*k - 596. Solve 32*y = k*y - 120 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5152 - 5152 + 7*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62936*n - 56670.\nAnswer: 62936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00833 to 4 decimal places.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128930667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*6*6*-6)\/(((sqrt(64) - sqrt(64)*-2)*-3)\/(sqrt(200) + -1*sqrt(200) + sqrt(200))).\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48130*n + 48144*n - 112 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -33*u**3 + 8*u + 19*u**3 - 22*u**2 + 6*u**3 - 77. Factor i(w).\nAnswer: -4*(w + 2)*(6*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 9. Let f = -3 + r. Suppose 0 = -z + 11 + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2790 is divided by 1232.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20889.768 and -0.4?\nAnswer: -8355.9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Let p = s + 11. Calculate the remainder when 46 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1302140 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067.0225 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/(32\/80)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 + 4*b**3 - 6*b**3 - 7*b**3 - b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36526?\nAnswer: 2, 7, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 o when three letters picked without replacement from cvcsoccvuuccuccco.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 39\/(-12). Suppose -33 = -d*c - 12. Let l be (-1)\/28 - (-2)\/c. Which is smaller: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1\/30*s**6 + 0*s**4 + 2\/3*s**3 + 0 + 0*s**5 + 2*s + 0*s**2. Find the second derivative of f(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18004 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 65. Suppose -365 = -g*r + 211. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-126)\/(-168).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 605 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k**3 - 2*k**2 + 3*k + 4. Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 13. Let v(y) = -y - 12. What is -4*o(s) + 5*v(s)?\nAnswer: -s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 14*z - 11. Let w be d(15). Suppose -6*p + 66 = -w*p. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30783, -30786, -30787, -30786, -30783?\nAnswer: -30778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (2 - 0))\/((-3)\/(-9)). Suppose 6*f - 8 = 2*f. What is the first derivative of 1 + 0 + 0*z**2 + l*z**f wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c**4*r**2 + 2*c**4 + 15*c**3*r**2 + 13*c**2 + 15*c*r**2 wrt c?\nAnswer: 216*c*r**2 + 48*c + 90*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((-3)\/(-2)*67\/(-201))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74681?\nAnswer: 17, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/4)\/(2\/20). Let j = -5 + 7. Suppose x = 4*r + 5*s - 15, j*r - 3*s - 8 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/6 - -29\/12. Let m = -0.4 - 0.6. Which is the third smallest value? (a) 4 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {n: 5, p: 3, i: 1, g: 1, r: 8, y: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*s + 10. Let b(a) = 13*a**2 + 5*a + 5. Let i(u) = u**3 + 13*u**2 + 4*u + 4. Let h(g) = s*i(g) - 4*b(g). Find the third derivative of h(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223423.\nAnswer: 223423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2249.59 + -2249. What is the second smallest value in 3\/14, w, -4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c = -17*c - 70*c + 2680 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (728\/(-21))\/(-4)*84\/56\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and 13\/121449.\nAnswer: 1214490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -105.891748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*n + 750 = 83*n - 75*n. Solve -224*z = -222*z - n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -7 (b) -0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - -43238?\nAnswer: 43264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 905698 and 15402.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -219, 274 in decreasing order.\nAnswer: 274, -13, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133*p**3 - 2668*p**2 + 4948*p - 288.\nAnswer: (p - 18)*(p - 2)*(133*p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -18*t + 1. Let b be 1*-1*(0 + -5). Suppose -121 = -28*o - 37. Suppose 3*a + b*m = -22, o*a + m = -m - 7. Determine r(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 766, -10, 1 in ascending order.\nAnswer: -10, -1, 1, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -30. Let u = -12.61 - -0.81. Let t = s - u. What is the closest to 0.2 in -1, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**5 + 3*q**5 + q**5 - 56*q**5 - 33 + 33 + (-1 + 1 + 2*q)*(-1 + 1 - q**4) + 2*q**2 + q**5 - 2*q**2.\nAnswer: -58*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + -27. Let h = 58 + -31. Suppose -h - 11 = -2*m. What is the remainder when y is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 9. Let o be (-102)\/9*(1 - (-14 + v)). Let u = -88 - o. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxr when four letters picked without replacement from rxrxrxr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 2*c, 5*c + 4 = -6. Suppose 4*g - n = -v, -2*g + 5*v = 1 + 2. Solve q = -o - o - 6, -5*o - g = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/1*(-309)\/(-6). Let m = j - -152. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Let n(z) = z**2 - z. Let t(w) = w**3 - w**2 + w. Let b(s) = 2*n(s) + t(s). Let a be b(0). What is the second biggest value in -2\/3, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 10*c**2 - c + 14. Let a be h(10). Let m(x) = 2*x + 6*x**2 - 2 - x**3 - 5*x - 3. Is m(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -200, 0.05, 2\/2231?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2650 - -2657.047. Let g = w - 0.047. Let y = g + -6.6. What is the third smallest value in -1\/8, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/6 + 2*u**3\/3 - u. Let j be q(5). Let o = 73 - j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 354 + -496. Let t = l + 127. What is the nearest to 2\/7 in t, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*l - 480 = 151*l. Let g(f) = 2*f**2 + 3*f - 8. Let q(m) = 3*m**2 + 2*m - 9. Let z(i) = -5*g(i) + 4*q(i). Let j be z(5). Solve -l*k = -1 - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396)*-2 - sqrt(396))) + -1.\nAnswer: -1 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 54498 and -119 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/253, -9\/11, -2, 0.054 in increasing order.\nAnswer: -3, -2, -9\/11, -1\/253, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1537139 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 104*(-16)\/128 + 23 + 7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5025304305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4849\/364 - 13)*(-7)\/6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from gjgggggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113688344 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 17*p - 2*p - 4*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 - 3*w - 12. Let v be f(-6). Suppose c + v = 3*c, 2*m + 3*c = -7991. What is m rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2544105264648.31?\nAnswer: 2544105264645.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/310 and -17\/18?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 37, 32, 27, 22?\n\"Answer: -5*f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38596175*h*w**2 - 121*w**2 - 20006 wrt h?\nAnswer: -38596175*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -57*u - 440. Let z be y(-8). Let h(m) be the third derivative of -1\/15*m**3 - z*m**2 + 1\/40*m**4 + 0 - 1\/300*m**5 + 0*m. Factor h(q).\nAnswer: -(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/17 (c) 190.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = 25*j + 6. Suppose -j + 59 = y. What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1362. Let b(u) = -6*u**2. Calculate b(l(v)).\nAnswer: -6*v**2 - 16344*v - 11130264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**7\/735 + i**6\/420 - i**5\/210 - i**4\/84 + 29*i**2\/2 - 6. Let v(p) be the second derivative of r(p). Factor v(q).\nAnswer: 2*q*(q - 1)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -844*i**2 + 10. Let y(q) = 2*q**2 - 3. Calculate -h(t) - 3*y(t).\nAnswer: 838*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35\/3, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**7\/42 - u**6\/30 + u**5\/10 + u**4\/6 - u**3\/6 - u**2\/2 - 388*u. Factor a(p).\nAnswer: -(p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 32 = 3*x - 5*k, 2*k = -4*x - 24. Let t(c) = c**2 + 556 + 8*c - 4*c - 561. What is the tens digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -83\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475 + -462. Suppose -4*z + 11 = 3. Solve -5*h + 2*u = -0*h + 23, z*h + 3*u = -g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912, -907, -902, -897?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 389*g**8\/56 - g**6\/30 + 7*g**4\/12 + 2*g**3\/3 + g - 184. What is the third derivative of s(x) wrt x?\nAnswer: 46680*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 750072*k - 744040*k as x*k + y and give x.\nAnswer: 6032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1605 = -5*u + 3*o, -3*u - 977 = -6*u - o. Let v = 648 - u. What is the highest common factor of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*((sqrt(1331) + sqrt(1331) + 0 + sqrt(1331))*6)**2.\nAnswer: 5174928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -1*8\/4. Suppose -3*j + 5*n = 11, -j = -2*j + 3*n + 3. Let u be (j\/(-10))\/(15\/50). Solve 2*b - u = -q*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -602*t**2 + 21*t - 19*t + 4*t**5 + 6*t**5 + 215*t**4 - 381*t**2 - 115*t**2 wrt t.\nAnswer: 600*t**2 + 5160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + p + 3*p + 14, -19 = 3*o + 5*p. Let u be (o - 82\/8) + 9\/36. Let v = 12 + u. Calculate the least common multiple of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.4 (c) 0.1 (d) -42279\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/8)\/(9\/24). What is the second derivative of 18*q**2 + 13*q**5 - 3*q - 8 - q**3 + 21*q**2 - 39*q**y wrt q?\nAnswer: 260*q**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 16. Let c(i) = i + 15. Let s be c(-12). Let u be (s - (13 - -3))\/1. Let j be y(u). Solve -6 = j*n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 + 77*j**4 + 394*j**2 + j wrt j?\nAnswer: -60*j**2 + 1848*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 7:44 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24 - -6)\/(1\/1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.17165 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 543*w - 548*w - 22, 20*q + 49 = -4*q - 4*w - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/12 - 3*d**3\/2 + 4*d**2 - d. Let w be r(-10). Let v = 4 + w. Solve 6 = v*i - 0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-2 + 4)\/2. Suppose -18 = a*t + 77. Let h = t + 38. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11185 < 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 16*a = 11*a + 10, -4*h + 5*a + 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1180*q**4 - 1161*q**3 - 10894129*q**2 wrt q?\nAnswer: -28320*q - 6966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -133021020 (base 4) in base 3?\nAnswer: -20110222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 327222046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21908, -43424, -64942, -86462, -107984, -129508?\n\"Answer: -n**2 - 21513*n - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.037*-0.1.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 5\/(-3))*3. Let h(k) = -9751*k**3 - 2*k**2 + k + 2. Let j be h(w). Round j to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d + 61. What is the hundreds digit of i(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2311.\nAnswer: 11555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9158, 7878, 5744, 2756, -1086?\nAnswer: -5782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.252 - -0.252. Which is the fourth biggest value? (a) 2 (b) q (c) 0.279 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 11458*x**2\/5 + 547527*x\/5 - 349146.\nAnswer: (x - 3)*(x + 51)*(x + 11410)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlv. What is prob of picking 1 v and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -15. Let c be (g + -31)*(-76)\/6. Is ((-14)\/(-4))\/(7\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 127*w - 140 = 0. Put w, -74, 46 in descending order.\nAnswer: 46, w, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(1053) + -2 - (4 + (2*sqrt(1053) + sqrt(1053) - sqrt(1053) - sqrt(1053)))) - (-5*(sqrt(1053) + -1) + -1)*-6)**2.\nAnswer: -7776*sqrt(13) + 1364832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 299894627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2762, -2755, -2748, -2741?\n\"Answer: 7*o - 2769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 4, -66, -224, -500?\n\"Answer: -5*l**3 + l**2 + 20*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -13*x**2\/6 - x\/6 = 0?\nAnswer: -1\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*8\/(-32)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 64760832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 + 4*h + 7. Let j be p(-3). Solve -2*g - a - j = 2*g, 6 = g + 2*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 2*x**3\/15 - 36*x**2 - 728*x\/5 + 508. Factor j(a).\nAnswer: 2*(a - 182)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 5. Let m(x) = -x - 1. Let l(q) = 5*m(q) + w(q). Let p(u) = -18*u**2. Determine p(l(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g**3 + 39*g**3 + 51*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:58 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 408 = 423. Solve 20 - 5 = -y*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -0. Let x be ((-4)\/z)\/(3\/(-30)). Let y(q) = -q**3 + 8*q**2 + 2*q - 2. What is the smallest common multiple of y(x) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 15 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 640503, -0.4, -0.3, -3\/7, -2\/9 in increasing order.\nAnswer: -3\/7, -0.4, -0.3, -2\/9, 640503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -m - 16, -4*m + 5*f - 3 + 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.42, 6\/11, 3, -0.3, 0.515.\nAnswer: -0.3, 0.42, 0.515, 6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/8, -138\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -137407 to the nearest one thousand.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 + 17.9. Let d = k + -9. Let i be 3\/(-9)*(3 - 0). Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let h = w + -0.1. Let p = -17.8 + 18. Which is the third biggest value? (a) h (b) p (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75526072*k**3 - 82456147 wrt k?\nAnswer: 226578216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 279?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.97. Let n = p - 0.23. What is the second smallest value in n, 1, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*s - 12 = 0, 2*u = 2*s - 0 + 8. Let b = 287 - 286. What is the second biggest value in u, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 3*p**2 - 4*p - 4. Let s be 50\/6 - 7\/((-42)\/4). Suppose 6 = s*y - 12*y. Let q be r(y). Solve -5*m + 26 = i, q*i + m = 5*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1234?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 6*d - 5. Let j be g(-3). Solve -6*o + j = -10*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.77 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i - 2*b = 0, -4*i - 3*b + 28 = 0. Suppose 0 = -i*v + 2*s - 14, 6 = v + 5*s - 7. Let n be (-4)\/14*v\/4. Sort -2, 4, n in decreasing order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 + 2*n + 10. Calculate s(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 30 = -2*d, -82*q + 86*q = -d - 2*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + -3 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640367130.\nAnswer: 2, 3, 5, 19, 1301, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 11*v**7\/7 - v**3 - 6. Find the third derivative of n(m) wrt m.\nAnswer: 1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2960 and 2590?\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.33 rounded to zero dps?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11456 and -61\/164576.\nAnswer: 58918208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/10 (b) 0.23 (c) 88 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1125 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8622488 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 0.05. Let v = 1.06 - 142.06. Let o = v + 142. Is o not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/225)\/(((-3655)\/85)\/129)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 100, 86, 72?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q**4 + 3*q**2 + (3*q**3 - 5*q**3 + 3*q**3)*(5*q - q - 3*q))*(0 - q + 0).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - -10. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181224054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**19*(n*n**(-2\/37)\/n*n)\/n assuming n is positive.\nAnswer: n**(701\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19681461 - 19682361.99965. Let y = j - -901. What is y rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1664*n + 370 = -1660*n, 9 = -9*n. What is the greatest common factor of o and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*o*w + d**3*o - 7*d**3*w**2 - d*o*w**2 + 13*w**2 with respect to o.\nAnswer: -d**3*w + d**3 - d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 97. Suppose a = -4*s + 33 + 27. Solve -7*z + 4*z = s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 26)*(-4)\/(-42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2157 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72.14 and 3802.\nAnswer: -274276.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 22*p - 20*p. Suppose 2*x = -p*r + 21, -5*x - 4*r + 60 = r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2433*i = -2120*i + 5008 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10475292 and -15\/4.\nAnswer: 10475292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 2. Let s be w(-1). Solve -5*b - s*x = -11, b - x = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 69?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30688\/10629 - 2\/1181. Find the common denominator of l and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2505481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 50. Sort 2, 4, j, -3 in decreasing order.\nAnswer: 4, 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.034850734 and 0.02884.\nAnswer: -0.006010734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8. Suppose 0*k - p*k + 20200025 = r, -40400025 = -2*r - 5*k. Round r to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 20 = -2*y, y - 3 = 5*h + 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027 = n - 325. Let z = -16121539\/11 + 1466945. Let j = z - n. What is the common denominator of j and 25\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 472566390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3108\/105 + -16 + ((-16)\/10)\/(-2). Let c(l) be the first derivative of 26\/15*l**3 + 18\/25*l**5 + 84\/5*l**2 - 21\/5*l**4 - 11 + v*l. Solve c(b) = 0 for b.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66134365 is divided by 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/42*1\/(-6). What is the third biggest value in r, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/57266950 and 75\/32069492.\nAnswer: 801737300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824345 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 = -4*f + 19, -4*f = l - 40. Let g(a) = a**2 - 8*a - 10. What is g(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tffv when four letters picked without replacement from vsbftfh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3968036*2\nAnswer: -7936072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228) + sqrt(228))*-5)\/(sqrt(1452)*4 - sqrt(1452)) - (5*4*sqrt(95))\/(sqrt(5) + 6*sqrt(40)\/sqrt(8)).\nAnswer: -730*sqrt(19)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5853*i. Let w(u) = -136*u. What is w(h(z))?\nAnswer: -796008*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6))\/h**3*(h**(-1)*h)**(-2))**(1\/6) assuming h is positive.\nAnswer: h**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1)*2\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 + 11*g. Let d(s) = 6*s**2 + 8*s - 3. Give 3*d(t) - 2*o(t).\nAnswer: 4*t**2 + 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h + 6*h**4 + 6*h**4 + 15*h**4 - 3*h**4 wrt h.\nAnswer: 288*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555208 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -673, -1500, -2637, -4072?\nAnswer: -5793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 + -8)*-2)\/(-1). Let o = z - -8. Which is the second biggest value? (a) o (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 100\/15343419 and -7\/15.\nAnswer: 76717095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/3, 0.5, -289\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 262326418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1675364 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2846 divided by 2299.\nAnswer: 2846\/2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1086576165 to the nearest integer?\nAnswer: 32963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g + 6*g)*(5*g**2 - 14*g**2 + g + g).\nAnswer: -9*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (290*-2034)\/(-9)*1. What is x rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + t + 2*t - 7*t**2 - 276*t**2.\nAnswer: -283*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1830 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02078138463 rounded to five decimal places?\nAnswer: 0.02078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121860063847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + (-33)\/(-5) + -5. Let q = 8\/5 - n. Put -3, -4, -0.4, q in ascending order.\nAnswer: -4, -3, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -2*r - 1\/12*r**3 - 1\/12*r**4 + 1\/120*r**6 + 1\/40*r**5 + 3\/8*r**2 + 16. Let o(k) = 0. Calculate k.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y = -653 + 172 - 1779 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3\/440, 16, -3, -555?\nAnswer: -3\/440","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 37626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 248\/(-14) - (-54)\/(-189). Suppose 0*c + 4*q = 2*c + 40, -c - 10 = 3*q. Let p = c - s. Solve b - h = -7, -4*b + p*h - 4*h = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 + 20*t + 30. Let x(o) = -2*o**2 + 13*o + 20. Let s(n) = -5*g(n) + 7*x(n). What is the least common multiple of s(11) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*3\/2 + -5. Let y be 3 - (-4 + z + 3). Solve 4*r + 16 = -w + y, 2*w + 2*r + 14 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107\/11 + -1395\/88. Let g be (-8 - -6) + -5 + 2. Is p smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 54\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 53179184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/199989 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078129571?\nAnswer: 1078129571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/7, -106, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16785112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.374985525 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*a**3 - 340\/3*a + 112 + 88\/3*a**2 = 0. What is a?\nAnswer: 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Let v(n) = -u*n + 0*n + n - n. Let z(b) = 0*b**2 + 0*b**2 + b**2. Calculate v(z(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*x**4 + 280*f*x**3 + 9*f*x**2 - 3*f*x + 13*f - 319*x**4 - 7*x**3 + 4*x wrt x?\nAnswer: 48*f*x + 1680*f - 7656*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*p - 4*u - 17, -4*p - 4*u = 4. Solve p*y + 12 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/30 and 3 + -8 - 8\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 1715 + 3064 - 3151 = 0 for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -17. Let z = 0.1 + 0. Let p = 0 - z. Which is the smallest value? (a) 4 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/11)\/(8\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2*p**6\/15 + 16*p**5\/5 - 46*p**4\/3 - 96*p**3 - 162*p**2 + 2*p - 32. Factor c(d).\nAnswer: -4*(d - 9)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1666768, -2, 1\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 232545.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 174*h - 1073. Calculate s(-91).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 9:16 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55795, 223163, 502113, 892645, 1394759?\nAnswer: 2008455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*(-1)\/(-4) + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - a**3 + 4*a**2)*(a + 2*a - 5*a) + (-5*a - 2*a**2 + 5*a)*(2*a**2 - 2 + 2) - a**3 + a**3 + a**4.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008617 rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c + 2*c**3)*(-9*c - c - 9*c + (-c + 2*c - 2*c)*(122 - 260 + 389) - c - 5*c + 4*c).\nAnswer: -544*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253017 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.4, -0.06, -4, -0.05?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84.9999961 + -85. Round k to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:18 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -29 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 8, -3*x + 3*m = -m - 68. Let d be (-5)\/x + 294\/(-8). Let f = 43 + d. Let y(b) = b**2 - 5*b. What is y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572439813?\nAnswer: 3, 11, 17346661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, -7, -2, 0, 2\/5 in decreasing order.\nAnswer: 188, 2\/5, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 7047 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9*(-4 - (-68665)\/17170). Let b = 87575\/13736 + q. Find the common denominator of b and -29\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131\/15 + 28\/3. Let q(x) = x**2 - 4*x - 23. Let n be q(7). Which is the biggest value? (a) g (b) n (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*u - 27898 + 27763, 10*b + 3*u = -450 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -11. Let t be ((-8)\/2 - -2) + 1. Let u = -0.6 - -3.6. Put t, b, u in decreasing order.\nAnswer: b, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/90*6\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:48 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, c: 2, w: 2, z: 1}. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-12))\/(485\/582)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**3 + 6*y**2 + 15*y - 6. Let l(m) = -m**3 - m**2 - m + 1. Let z = -15 - -21. Let r(a) = z*l(a) + h(a). Find the second derivative of r(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9801 divided by -11.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/18 and -49\/3576.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -412 - -415. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23625 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Suppose 0 = -4*l - 0*l + 3*z, 4*l = 5*z. Let a(f) be the third derivative of l*f - 4*f**2 + 1\/12*f**4 + 0*f**3 + 0. Determine r(a(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -0.3349.\nAnswer: -17.6651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 17*n + 20. Let g be l(18). Solve -g*m = 2*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = a + 4*a. Let q = 0 + a. Let i = 9 + q. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1760 + 2678. Calculate the highest common factor of b and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7184 divided by -3?\nAnswer: 7184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2224 = 4*g, 3*j = 2*g + 1262 + 74. Let q = 156118 - 156068. Calculate the remainder when j is divided by q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -5, -2412 in ascending order.\nAnswer: -2412, -151, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/14)\/((-649)\/(-44) + -20)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (1 + -2) - -4. Let m(x) = 5*x + 6. Let d be (-15)\/(-6)*(-8)\/5. Let r(u) = -4*u - 6. Let g(w) = d*r(w) - 3*m(w). Calculate g(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 11*l**3 - 7*l**5 + 168*l + 491761*l**4 - 340*l**2 + 3*l**5 - 491757*l**4 + 161*l**3 = 0.\nAnswer: -7, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -ba?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74\/35 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-1.9507.\nAnswer: -19.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1479 - -1479. Let w = 793 - 53923\/68. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spspspsspppssssssb. What is prob of picking 2 p and 1 b?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 + 5. Suppose s*k - 8 = k. Suppose 9*w = 7*w. Solve w*i + 8 = -k*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*b**2 + 8*b**2 - 11*b**2)*(-b + b + b)*(1 + 8*b + 3 - 3*b) in the form c*b**3 + d + g*b**4 + j*b**2 + p*b and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 + 293*a**2 + 1991*a wrt a?\nAnswer: -12*a**2 + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 3*c - 3*c)*(5*c + 0*c - 3*c) + 23155 - 23155 + 435*c**2 in the form p*c**2 + x + k*c and give p.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4645 is divided by 186.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5930 + 429. What are the prime factors of j?\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*c*k**2*p - 18*c*p**3 + 80*k**2*p**3 - k**2 + p**3 with respect to c.\nAnswer: 101*k**2*p - 18*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43557 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 128 = f + 3*f. Sort f, 3, -3, -407 in decreasing order.\nAnswer: f, 3, -3, -407","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -316\/114417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.66993t to grams.\nAnswer: 89669930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.8 * -2180.\nAnswer: -49704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012 (base 4) to base 5.\nAnswer: -4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:33 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i**2 + 93 - 93)*(1 + 1 + 0 + 0 + 2 - 4 + (4 - 2 - 1)*(-2 + 2 + 2)) in the form n + l*i + s*i**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**8\/560 + 3*k**7\/350 + k**6\/100 - k**5\/50 - 3*k**4\/40 - k**3\/10 - 2*k**2. Determine v, given that d(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/63)\/(1498\/5778)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:34 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -22334*m + 11. Give f(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3057849, 3057856, 3057863, 3057870, 3057877, 3057884?\nAnswer: 3057891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from iffffffffffif?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvk when three letters picked without replacement from aakcv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000655632 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129, 369, 609, 849, 1089?\n\"Answer: 240*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 219*h**2 - 3*h**3 + 131*h**2.\nAnswer: -2*h**3 + 350*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, -1\/5, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*p + 2. Let n(r) = 5*r**3 - 3*r**2 - 9*r. Let o(i) = 4*i**3 - 2*i**3 - 16*i - 2*i**2 + 12*i + i**2. What is p*n(f) - 9*o(f)?\nAnswer: 2*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 = -y, -21 = -3*y + 5*v + 10. Solve -8 - y = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4720 - 4709. What is the nearest to 3 in 9, 2\/7, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/8 - l**5\/60 + l**4\/12 - l**3\/6 + 5*l**2. What are the prime factors of d(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-three fifths of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3547.955 + -3548. Which is the third smallest value? (a) 5 (b) -0.05 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9677*o**3 - 4762*o**3 + 6 - 4821*o**3.\nAnswer: 94*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1924 + 0.7076. Let u = -45\/148 - -2\/37. What is the closest to u in -4, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2118*m - 1 - 535*m - 394*m as p + u*m and give u.\nAnswer: -3047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (1*sqrt(187) - sqrt(187)) + sqrt(187))\/sqrt(11) + -1.\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202089553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h + 42. Suppose -96 = -3*p - p. Let q be u(p). Calculate the greatest common factor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 7*h**2 + 3*h + 12. Determine k(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2288 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 x, and 1 t when four letters picked without replacement from {c: 1, x: 2, t: 1, a: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.1, -4, -566.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 78. What are the prime factors of 12\/(-30)*-131 + r\/(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3208*t - 3213*t. Put 14, t, 3, -3 in decreasing order.\nAnswer: 14, 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-126*u + 33*u - 132*u) as p*u + o and give p.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + -33 - 24 - 73.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*v + 2 - 3, 5*q + v = -20. Let n(r) = 3*r**2 + 5*r + 3. What are the prime factors of n(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbcgggccggcgggcc. What is prob of picking 2 c and 2 g?\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3119\/2 (c) 251\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19684 - 8804. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 1b848?\nAnswer: -1b854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41 + ((-16 - -9) + 21 - 0)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35*((-64)\/(-20) + -4). Let j = f - 27. Put j, -3, 3 in decreasing order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 842a3?\nAnswer: -842a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142309 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 + 2*r**2 + 2*r + 1. Suppose -2*l + 5 - 7 = 0. What is g(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose 2*b + 142 = 2*y, -302 = -o*y - 4*y - 5*b. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (390\/70)\/(((-378)\/(-196))\/9).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3628*v - 54*v**2 - 50*v**2 - 20967*v + 105*v**2 to r*v + h*v**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2351*r**2 - 15*r + 35. What is the tens digit of j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + 36. Let z = -9 + 4. Let s(w) = -w**2 - 6*w + 7. Let y be s(z). Calculate the highest common divisor of y and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/210 and 67\/1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12 - 39\/18. Let o be (12\/18 + b)*3. Let i be 1\/o + 3208\/32. Calculate the highest common factor of 150 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299108 * -25\nAnswer: -7477700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2413651 greater than or equal to -2413650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 8 (c) 188 (d) -1\/59 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8 = -0*z - 4*z, -5*z = h - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 935*z**2 - 1035*z**2 + 839*z**2 to o + i*z**2 + b*z and give i.\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01208491 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 22*k + 15*k = 9*k + 2480 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 36. Let l be w(-15). Suppose -l*m = -5*m. Suppose -14*q + 12*q + 8 = m. Sort q, -3, -2 in descending order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.058, 1\/4, -2\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139 * -0.4.\nAnswer: -55.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**2*x*z - 2*p**2*z - p**2 + 6*p*x*z + 20*x*z - 2*x - 3*z wrt p?\nAnswer: 6*p*x*z - 4*p*z - 2*p + 6*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let x(f) = -f. Let c(w) = -4*v(w) + 3*x(w). Let y = -5 + 4. Let p(r) = -r**3 + r. Let j be (2\/(-2))\/(0 + 1). What is j*p(g) + y*c(g)?\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 28\/(-12))*9. Suppose 174 = 5*w - 8*w - 3*h, -w = -q*h + 58. Is w > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v + v. Let i be 2 - 9\/(5 - v). Let x = 1762\/9 - 196. Is i at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -19*r**4\/8 - 19*r**3\/6 - 9*r**2. Let u(t) = 29*t + 10. Let b(n) = 7*u(n) + 3*w(n). Differentiate b(p) wrt p.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 6. Let j(u) = 4*u**2 - 4*u**2 + s*u**2. Let a(t) = -8*t + 3. Let w(m) = 7*m - 2. Let k(d) = 2*a(d) + 3*w(d). Calculate j(k(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*v**3 + 152*v**2 - 4*v**4 + 140*v + 20*v**4 - 108*v.\nAnswer: 4*v*(v + 2)*(v + 4)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 - (233 - 106) - ((2 - (-1 + -30)) + 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1446, 2875, 4304, 5733, 7162, 8591?\n\"Answer: 1429*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4859*b**2. Let c(f) = -15043*f**2. Give c(l(s)).\nAnswer: -355163439883*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/8)\/(3\/(-12)). Let k = -10 - d. Is ((-2)\/k)\/((-2)\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 - 2. Calculate the remainder when h is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315 - -315.000343. What is k rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -135, -1264, -2393, -3522, -4651?\n\"Answer: -1129*s + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 32, 6, -58, -172, -348, -598, -934?\n\"Answer: -2*r**3 - r**2 + 17*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18759 divided by -39?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2338573, 4677248, 7015923, 9354598, 11693273, 14031948?\n\"Answer: 2338675*l - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 1 q when three letters picked without replacement from aaasqkqqsqk.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2 + 632*t + 49928 = 0.\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -959084804 != -959084804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.224, 0, 5, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-4)\/(-144)*-2). Let d be 3 + h\/21 + 0. Let b = -0.3 + 0.2. What is the third biggest value in 2, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/25244323 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6595.219 seconds?\nAnswer: 6595219000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114\/199 or 1?\nAnswer: 114\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11992256*y**2 - y + 52095889?\nAnswer: -23984512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -62 (b) 20718 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1) + -5)*-1. Let b = d + -2. Let u(w) = -w**3 - 5*w**2 + 4*w - 7. Let q be u(-6). Solve b*h - 15 + 39 = q*p, -16 = -4*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. Let r(c) = 2*c - 4. Let z be r(3). Let i(d) = -d**z + 2*d**2 + d - 2*d + 2. Calculate i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.39607525822 minus -7784?\nAnswer: 7782.60392474178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let r(k) = 984*k**2 - k - 10. What is u(r(m))?\nAnswer: 984*m**2 - m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m**2 - 3*m**2 + 5*m**2 as s*m + v + l*m**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*a**2*s**3 + 79*a**2*s**2 - 79*a**2*s - 209*a*s + 22*s**3 - 4 wrt s.\nAnswer: 186*a**2*s + 158*a**2 + 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12*(-36)\/(-432))\/((-2)\/1028*2). Do 257 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 3*i**2 - i + 3. Suppose 1 = 3*q + 10, -5*o - 4*q - 47 = 0. Let s = 3 + o. Give f(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265362.\nAnswer: 2, 3, 47, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 3 + -2 + 9. Suppose m = -q + 29. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-741)\/9 - 2\/3. Let b = -52 - p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 17*i**2 - 23*i - 20. Let z(w) = -w**3 + 6*w**2 + 8*w + 7. Let k(a) = -6*x(a) - 17*z(a). Calculate k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {w: 2, a: 1, g: 1, j: 1, s: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 10 = -4*n, -235*n + 240*n + 29 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31112122130 (base 4) to base 13\nAnswer: 956c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 0 + 0 + (3*f**2 - 2*f**2 - 2*f**2)*(-10*f + 4 - 4))*(6*f**2 - f**2 + 2 - 10*f**2).\nAnswer: -35*f**5 + 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(343) + 4 + sqrt(343))**2 - (-5 + sqrt(7)*-3)**2).\nAnswer: -6500 - 410*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 26*g**2 - 27*g - 18. Let i be u(-9). Suppose 3*m - 4*o - i = 0, -90*m - 1543 = -92*m - o. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (33 + 16 + -8 - 48)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4*2)\/((-4)\/(-40)). Suppose -k - 3*k = l*j - 147, 0 = 2*k - 6. Calculate the least common multiple of j and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -7*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jok. What is prob of sequence ko?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61669?\nAnswer: 83, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -155969?\nAnswer: -155954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 13*i - 51. Let z(f) = 2*f**2. Determine h(z(j)).\nAnswer: -12*j**4 + 26*j**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 7*x + 16. Let k be y(-8). Suppose 4*n + 2*l - 288 = 0, -k = -2*n + 4*l - 7*l. What is the highest common divisor of 518 and n?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*0.18176.\nAnswer: -2.54464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -15*l + 143. What is the greatest common divisor of 871 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979403111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*n**2 + 0*n**3 + 2*n**3 - 77*n**2.\nAnswer: 2*n**3 + 183*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrxvsrsrvvrr. What is prob of sequence xrvv?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 + 6*b**2 + 160*b**2.\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-43124*f**2 - 382*f - 330*f - 2 + 43123*f**2) as a*f**2 + d + n*f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648285427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2\/15*r**5 + 11\/6*r**4 - 1\/9*r**6 + 14\/9*r**3 + 241 - 16\/3*r - 10\/3*r**2. Suppose v(d) = 0. Calculate d.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -215, -435, -655, -875, -1095?\n\"Answer: -220*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137158 - 61080. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4228510 by -422851.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 5*p. Let o(b) = 2*b. Calculate 4*j(q) - 10*o(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13111?\nAnswer: 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 37879332?\nAnswer: 113637996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 8. Let l(s) = -s. Give -2*l(j) + p(j).\nAnswer: -j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 919511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*h + 5*f - 257, 0 = 2*h + 5*f - 175. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462735*a = -460504*a - 240948 for a.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*c - 9 = 0, 18*k + 6*c - 36 = 16*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from {f: 5, g: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 666955291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -100. Let v(c) = c**2 + 13*c + 4. Let i be v(-13). Suppose -i*t = 2*t - l. Solve 0 = t*a - 5*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -i*o - o = 2*t, 6 = 3*t + 3*o. Put 5, -3\/5, t in increasing order.\nAnswer: -3\/5, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -286, -893, -2058, -3967, -6806, -10761, -16018?\n\"Answer: -31*b**3 - 18*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -500*x**5 + 9606900*x**4 + 40355760*x**3 + 39203968*x**2 + 14451840*x + 1844928 = 0.\nAnswer: -3, -2\/5, 19218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -256?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m - 1757 = -3*h, 3*m = -3. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4737 and 27?\nAnswer: 42633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1589, 3325, 6219, 10271, 15481, 21849?\nAnswer: 29375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 6 + u + 5. Give p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 2. Let c be x(10). Suppose 4*k - k = -6, -z - 4*k + 54 = 0. What is the highest common divisor of c and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:37 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3\/12 + 1329077*g**2\/12 - 3101151*g\/2 + 2658126 = 0.\nAnswer: 2, 12, 1329063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.0926 - 1.0026. Which is smaller: -129 or m?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcccfffcfcfcfcf. What is prob of sequence cfcc?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -15*w**4\/8 - 109*w**3\/6 - 12*w**2 - 4. Is p(-5) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4515*r - 1191*r + 6956*r - 1252*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 592, 1001, 1492, 2065, 2720, 3457?\nAnswer: 4276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4 - 93816258*u**3 - 321333517*u**2.\nAnswer: -48*u - 562897548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83097107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(62\/(-2819667)*(-6)\/4). Let f = -2728793\/90 + a. Find the common denominator of -47\/50 and f.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12144644 divided by 264014?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 17*c. Calculate i(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 0 + (-2 + 0 - -116). Suppose k + 5*o + b = 3*k, -k + 50 = 3*o. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1\/(-2)*-5. Suppose -n - r = 4*n. Which is the nearest to n? (a) 4 (b) -5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7156860?\nAnswer: 2, 3, 5, 101, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*u - 1302, u - 2*k = k + 661. Suppose 7*l - u - 1872 = 0. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -5254*g**7\/21 - 11*g**4\/12 + 40*g**3\/3 + 2*g + 1675. What is the third derivative of s(w) wrt w?\nAnswer: -630480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116466937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - (4 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60569.176 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 3, e: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29333 - -1414.633.\nAnswer: -27918.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038489 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61824317 divided by 47.\nAnswer: -1315411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((35200\/715)\/32)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r + 172 + 367 = -16*r. Let v(w) = w**2 + w - 45. What is v(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/389 in 2, -2, -4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*u - 4*f, 26*u - 28*u + 2*f = 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 20*l + 30. Let i be t(17). Let n = -105 - i. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296668601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Suppose 0 = 20*m - 15*m + 15. Let t(j) = -2*j + 2. Determine m*t(p) - 5*z(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 6*b + 4. Let i be a(6). Suppose 209 = -4*j - d - 0*d, -5*j + i*d = 235. Let l = -38 - j. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u + 56*u + 65144 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -7.5. What is the third biggest value in 0.3, 0.6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490 is divided by 158.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12)*(1 + (10 - 3)). Let y = -23 + 23.18. Which is the third biggest value? (a) y (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 38*r**2 - 338*r - 285. Calculate t(22).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5769cb (base 14) in base 7?\nAnswer: 34204444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 - 19296*f - 19300 = 0. What is f?\nAnswer: -1, 4825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 1 = 8*j - 659 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = 4*k + 11*a, 203*a - 201*a = 4*k - 296 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)*r**(-3))\/(r\/((r*r\/(r\/((r\/(r*r*r**(-2\/7)))\/r))*r)\/r)*r\/((r\/(r**(-2\/9)\/r))\/r)) assuming r is positive.\nAnswer: r**(-1289\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -16)\/1 - (-74)\/2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - m**3 + 0*m**3 + ((0*m + 2*m - m)*(0 + 0 + 1) - 7*m + 8*m + 4*m)*(0*m + m + m)*(2*m - 19 + 19) as p*m**3 + n*m**2 + x*m + k and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/70)\/((-504)\/2016).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 117. Let u = q - -75.02. Which is the smallest value? (a) u (b) 0.11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 2*w - 2. Let y(c) = -c + 1. Let o be (14\/(-21))\/(2\/3). Give o*z(d) - 2*y(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h)*(4 - 4 - 2*h) + (-6*h**2 + 6*h**2 - 9*h**2)*(44 - 25 - 20).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-4992)*52)\/((-3)\/488*-2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -74, -93, -112?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**2 + d + 36*d**2 - d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - 16. Let j(d) = 6*d - 4. Let p be j(q). What are the prime factors of (p\/(-6))\/(4\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3680 at most -3682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1341?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-620)\/(-248)*8\/(-230).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1016 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = 3. Let r(m) = -4*m**2 + 0 - m**3 + 5 + 0. Let c be r(b). What is the greatest common divisor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 113229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 6. Let w be y(-3). Suppose 0 = -w*z + 16*z - 572. Calculate the remainder when z is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244518, 5, -5 in decreasing order.\nAnswer: 244518, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/12 + (-401)\/(-20))*159\/477. Is z equal to 3\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5)\/(-2))\/(55\/(-4) - -1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - t**5 + 3*t**5 - 3*t**5 + (5*t - 2*t - 2*t)*(-5*t**4 + 2*t**4 + t**4).\nAnswer: -3*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*b - b + w, -4*w - 6 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 3, w: 1, q: 3, v: 2, b: 2}. What is prob of picking 1 b and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 6:55 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 123710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/9)*k**(4\/5)*(k**5*k)\/(k\/(k**(-2\/9)\/k)*k))\/(k*k**(-6\/11)*k\/(k**(-1)\/k)*(k\/(k\/k**(-2\/27)))\/k**(-6\/5)) assuming k is positive.\nAnswer: k**(-664\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327 and 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87*z - 21*z**2 + 87*z)*(0 + 4 - 6) + (-2*z - 3 + 3)*(0*z + 4*z - 5*z) as u + p*z**2 + r*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3458 and 21983?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 15. Let b be g(17). Let r be 3\/((-9)\/(-21)) + -3. Solve -i - 5*v + r - 18 = 0, -b = -2*i + 5*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1779149565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - (-4 + sqrt(288) + 1) - sqrt(8)\/(sqrt(32)\/(sqrt(72)\/sqrt(9))).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14655*i**2 + 32*i - 109 wrt i?\nAnswer: 29310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 25 + 14 = 0. Let p be (m\/(-2) - 1)*4. What is the common denominator of 3 - 1\/(p\/148) and -59\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 12*d**2 - 8*d - 12. Does 12 divide f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 2. Let j be c(-7). Let b = -18 + j. Suppose f - 5*f = -b. Solve -7 = y - 4*r + 4, 5*y - 11 = -f*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {e: 5, m: 6, u: 2, j: 1, h: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1342300 - 221?\nAnswer: -1342521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5663, -11325, -16987, -22649, -28311, -33973?\nAnswer: -39635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434*b**5 + 5571*b**4 + 4*b**3 + 106100*b**2 + 317.\nAnswer: -26040*b**2 + 133704*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 65099?\nAnswer: -65099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27985631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + 290?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33503?\nAnswer: 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14713881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n - 6. Let s(p) be the third derivative of -p**5\/60 - p**4\/24 - 5*p**3\/6 + p**2. Let v = 107411 + -107406. Determine v*s(k) - 4*r(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2228, 2229, 2230?\n\"Answer: s + 2227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 167 in -0.3, 3\/2, 0.2, 123, 5.8?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101 and 4179077.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:23 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/44 and 49\/34.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15752?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t\/((t**(-12)\/t)\/t)*t)\/t*t)**(-6)*t**(9\/7)*t*t**(-31) assuming t is positive.\nAnswer: t**(-957\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6290 + -6291)*((-2)\/(6\/(-13)) - 0)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8105.778 and 3?\nAnswer: -24317.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3, j + 4*r = 2*r + 167. List the prime factors of j.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1903604626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 + 894?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 93386003775.8.\nAnswer: 93386003770.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 4\/5 (c) 21775 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 67 + -2 + -47 + -12.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmcfmmmfmmmdfffffc. Give prob of picking 1 m and 1 f.\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 13. Let q be z(-3). Let l be 0\/(q\/(-1)) + 18\/(-12). Put 3, 0, 0.3, l in descending order.\nAnswer: 3, 0.3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1208 and 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 6*z**2 - 3*z + 9. Let s be b(6). Let a = 52 + s. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 33951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*y = 0, p + 2*p - y = -12. Let m(n) = -731*n - 34. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -16. Let y(a) = 2*a + 9. Let g be y(w). Is (0 - -2) + (-403)\/g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -13, 4.\nAnswer: -13, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 54321399*s\/5.\nAnswer: -3*s*(s - 18107133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -5 (c) -634\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 46 + 8*h - 19 - 11.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -3)\/(172\/8 - 2). Let j = -1.3 - -1. What is the third smallest value in 0.2, j, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 48*p**2. Let s(j) = 5*j. Give s(g(f)).\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -18*v - 122 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 14*h = 45073. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1413 divided by -219250\nAnswer: -1413\/219250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 2*j**2 + 2. Let h(s) = 1. Suppose -2*m = -4*z + 10, 0 = -z - 2*m - 5. Determine z*v(f) - 2*h(f).\nAnswer: -f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -20. Find the second derivative of 9 - 3*n - 4*n - 9 - t*n**2 wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*y - 55, 0 = 3*y - 4*y + 5. Is 4\/(-6) - 214\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2322\/122 + 1080\/(-32940).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*h**4 + 1960 + 1064*h + 1002\/5*h**2 + 76\/5*h**3.\nAnswer: 2*(h + 5)**2*(h + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25452*t**2 + 15366*t**2 + 14376*t**2 + 5*t**2 - 6*t**2 + 2*t**2 + (-t + 4*t - 2*t)*(2*t - 3*t - t))*(-3 + 1 + 1).\nAnswer: -4289*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 - r - 1. Let u be m(-1). Let c be 1 - (-8 - (-4 - 0)). Solve 4*b - c = 3*l + 16, l - u*b + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 9*w + 6. Differentiate 0*o**2 + 42*o + 2*o**3 + 50 - 77 - 104 + 0*o**w wrt o.\nAnswer: 6*o**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -2881, -6634, -11963, -18868, -27349?\nAnswer: -37406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkxdz. What is prob of picking 1 d and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1941, 37, 5.\nAnswer: 5, 37, 1941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 5:16 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-47) + 981312\/30004800.\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-49)\/(r\/(r\/(r\/r**(-2\/5)))*r**1) assuming r is positive.\nAnswer: r**(-747\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31525 + -31543.9512. Let h = n + 19. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 + 1 + u + u - 7 - u.\nAnswer: u + 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 6*f - 2*f)*(-2*f**4 + 0*f + 0*f) + (-3*f**4 - f**3 + f**3)*(-5*f + 6*f + f) - 23*f**3 + 11*f**5 + 23*f**3.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 35205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*p - 27335 - 9340 + 3601 = 11908 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thxhtttttxxhxtthh. Give prob of picking 1 t and 1 h.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 195\/150 - 40\/50. Let p(l) be the second derivative of 1\/2*l**5 + 0*l**4 + 4*l + 0 - z*l**3 + 0*l**2. What is the second derivative of p(t) wrt t?\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odoe when four letters picked without replacement from {d: 6, e: 2, b: 2, i: 1, o: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 4*o - 3. Let j be b(-5). Solve -4*a + 18 = -j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 527?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185436*f**3*g**3 + f**3*g**2 + 11*f**3 + 4*f**2*g**2 - 38*f*g**4 - 284*g**2 + 6*g wrt g.\nAnswer: 1112616*f**3 - 912*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 5. Determine n(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - h)*(-30*h**2 - 283*h + 283*h) + 0*h**3 + 2*h**3 - h**3 + (-3 - 1 + 2)*(h**2 + h**3 - h**2).\nAnswer: -61*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 7*c**2 - c + 10. Let v be i(7). Let r be 0 - (-13 + 3) - v. Suppose -r*p + 210 = -2*p. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = i, 3*i + 2*b = 4*i. What is the units digit of i + 4 + -2 - -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from aazaaaaaaaaaaaaaaaaz.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 8. Suppose -i*k - 5 = -17. Suppose -k*j + 24 = 9. Solve 1 = j*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*o. Let v be (-2)\/o - (3 + -4). Let c(u) = -3*u**v - 3*u + 2*u**3 + 5*u - u**2 - 4 - 3*u. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + i. Let q be d(3). Suppose 3*m + 6 = 0, -4*r - r - 35 = -5*m. Let f be q\/(r\/(-12) - 1). Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 2*n + 21, 5*n = -5*k. Calculate the remainder when 50 is divided by (28\/8 + k)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2077 (base 14) to base 11.\nAnswer: -4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**8\/1680 + a**5\/20 + a**4\/24 - 2*a**2. Let j(z) be the second derivative of m(z). What is the derivative of j(o) wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74294?\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381908, -381906, -381904, -381902, -381900?\nAnswer: -381898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 685682741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -114. Is p a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h + h + h - 3*h + 15. Let y be w(8). Solve 0 = -y*a + 4*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -405\/2 + 203. Let q be (-1 + -2)\/((-13)\/((-78)\/48)). Which is the nearest to i? (a) q (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/39603 and 52\/753?\nAnswer: 9940353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 5374317.\nAnswer: 32245902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdxxbbxbxdb. Give prob of sequence dddx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 3*u**2 - 4*u + 2. Let k be h(2). Let c be 1*(-1)\/k*18. Suppose -b = -124 + 52. Calculate the greatest common factor of b and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v**2 - 6*v + 6. Let p be n(4). Let q(s) be the second derivative of s**5\/10 + s**4\/6 - s**3\/6 + s**2 - 3*s + 97. Determine q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3 - 3 - o**3 - 7*o - 3*o**2 - 4. Calculate the remainder when 72 + 12\/5*41\/(3034\/185) is divided by z(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134*g**4 + 159*g**2?\nAnswer: -3216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293015.\nAnswer: 5, 58603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7 and 35\/3508.\nAnswer: 24556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105 + 50 + 78*x - 54 + 28*x with respect to x.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2383 - 788 + 3325*j - 798 - 797 - 3*j + 3*j - 2*j + (-j - 2*j + j)*(1 - 1 + 2) - 4*j - 2*j + 4*j to the form t*j + y and give t.\nAnswer: 3317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 53. What is the units digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 6*m + 2*m)*(-414 - 2041 + 1391 - 2770)*(m**2 - 4*m**2 + 4*m**2) in the form r*m**2 + v*m + w + a*m**3 and give a.\nAnswer: 3834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3 - 14*o**2 - 20*o = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*v**2 + 2620*g**2 - 208945*v**2 with respect to g.\nAnswer: -2*g*v**2 + 5240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -298*v**3 - 10*v**2 + 8*v + 1. Determine u(1).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, 46 + 64 = 2*y - l. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913*v**2 + 895*v**2 + 969*v**2 - 2767*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 103. Let j be o(21). Let i(p) be the second derivative of 0 + 3\/2*p**j - p - 1\/6*p**3. What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -22*j + 74 + 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.43, 153, 0.1, -28?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-17))\/(-3*2\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11327594 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 4. Suppose 0 = -5*f - a + 22. Find the second derivative of -d**4 + 3*d**f + 3*d - 7*d - d**4 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtttttbtttttttqtt. What is prob of picking 3 t?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004437103 rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10610166 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 12 + -49 + 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 730 divide 629140280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4619, -4781, -4943, -5105, -5267, -5429?\n\"Answer: -162*u - 4457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 3*s**2 + 4*s - 10*s + (4*s + s - 3*s)*(-3*s - s + 2*s) + 306*s**2 + 1096 - 1096 + (-s - 5*s + 4*s)*(-1 + 2*s + 1).\nAnswer: 299*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -2*i**3\/3 - 9*i**2\/2 + 6*i. Let g be u(-4). What is the highest common divisor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7 - 1. Let p = -426 - -426. Suppose p*o + 0 - 2\/5*o**3 + 4\/5*o**a = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 24. Suppose 0 = -6*x - 3 - 105. What is the smallest common multiple of ((-2)\/3)\/((-2)\/3) and b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048816 is divided by 60259.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = o + 7, -3*r = o - 2. Sort -4, 0.8, r in increasing order.\nAnswer: -4, 0.8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, 3, 102 in descending order.\nAnswer: 102, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 504 + -504.4. Let g = 100 - 100.59. Let z = -0.09 - g. What is the nearest to t in z, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.35 + 7. Let z = -1.05 + s. Sort -0.05, z, -5.\nAnswer: -5, z, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14222*f**3*h**2*t - 6*f**3*h + f**3*t + 2*f**3 + 1383*f**2*h**2 - 38*f**2*t + f*h*t + f*t + h**2 + h*t wrt f.\nAnswer: 85332*h**2*t - 36*h + 6*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 26*j**2 + 31*j + 117. Let l be d(-27). Solve -k - l = -11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - -44. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-38)*s)**(-2\/5)\/(s**(-4\/11)*s**(-20\/3)))**(-40) assuming s is positive.\nAnswer: s**(-28816\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-3*4\/72). Let f = 93 - a. Suppose f*y = -5*l + 75, 4*y - 4*l = l + 135. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*1*84\/(-36)*6\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1549176, 6196715, 13942614, 24786873, 38729492, 55770471?\n\"Answer: 1549180*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in -0.4, 0.1, -8, 3, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3189*i**3 - 29*i**2 - 5*i + 1?\nAnswer: -19134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26288 = -2149*v - 382*v - 755*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 683191 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 26410368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5 - 6. Let f = j + 4. Solve f*m + g + 11 = 0, 4*m - 3*g + g = -18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 6\/(-10)*-5. Suppose -p*y = 26 - 68. What is the remainder when 83 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 111?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3 (c) 1447 (d) 9 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 14*j**2 + 24*j**2 + 24*j**2.\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 11 + 15 - 4*j + (-j - j + j)*(3 - 2 + 1).\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2 + 2*o + 3. Let v be l(-3). Let a = 69 + v. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*c - 46, 5*d + 23 = c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) - 5*sqrt(72))**2.\nAnswer: 6728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c - 2*p, 0*c + 4*c - 3*p - 10 = 0. Let g be 2\/(-6) - (-76)\/(-6). Let q = -10 - g. What is the greatest common factor of q and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204171 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59820422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -555361505?\nAnswer: -555361462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41951.\nAnswer: 7, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*z = 931*z - 363 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 22*q**2 + 54*q - 29. What is c(-19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338466 is divided by 362?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 4)*(2 - 1). Is k at most 4\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50944456.\nAnswer: 2, 617, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2)*1) + (sqrt(3) - (-1 + sqrt(3) + 3)) + 5 + ((-3*sqrt(432))**2*3 - 1*sqrt(432)*1).\nAnswer: -11*sqrt(3) + 11667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5800 and 2195416?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 30*k**2 - 73*k + 11. Let q be b(-7). What is the highest common divisor of q and 3483?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-14))\/(3\/(-4)). Let q = -8 + 6. Sort 3, f, q in ascending order.\nAnswer: q, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 1157 = -2*k + 4387. What is the remainder when k is divided by 180?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 580 + -577. Let p(y) be the second derivative of -1\/2*y**n + 0 + 1\/2*y**2 - 10*y. Determine p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 + -112. Suppose -n + 63 = 4*n + 4*m, -5*n - 3*m = -o. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 + (18 + -18 - 76)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130303, -260628, -390981, -521362, -651771, -782208?\n\"Answer: -14*l**2 - 130283*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.0783 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 378\/324 + (-3970)\/(-12)?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1265 divide 256634345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/17 - 4*g**4\/17 + 6*g**3\/17 = 0. What is g?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18296120, 18296121, 18296122?\nAnswer: 18296123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q. Let a be h(-3). Suppose -v + 17 - a = 0. Let n be (1*(-252)\/30)\/(6\/(-20)). Calculate the highest common factor of n and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107594561\/540 - 199249. What is the common denominator of o and 119\/180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23453261?\nAnswer: 13, 23, 78439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(8\/(-888)). Suppose -4*j - 3*k + l = 0, -5*j - 4*k = -j - 32. What is the smallest common multiple of 7 and j?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-12) + (-2)\/(-6). Let h = -5 + t. Does 11 divide (11\/h)\/1*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*k + 59. Suppose 2*t - 3 - k = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by -18*25\/(-3150)*1421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 4*d + 9. Let y = -34 - -49. What is the remainder when f(-4) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 65, 53, 43, 35, 29, 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1\/3, -17, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + i)*(2*i - 2*i - i) + 12*i**2 + 20*i**2 - 11*i**2 to the form w + z*i**2 + t*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 38. Is 9 a factor of j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12*(46605\/20 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -11. Let i = s + -2. Solve 2*r = -i + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + w)*(-2*w**4 + 3*w**4 - 2*w**4 + 0 + 2*w**4 + 0 + (2*w + 2*w - 2*w)*(-3 + 3 + w**3) + 15772*w + 0*w**4 + 4*w**4 - 15878*w - 2*w**3).\nAnswer: -21*w**5 + 6*w**4 + 318*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -936099, -936100, -936101, -936102?\n\"Answer: -v - 936098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 18, 91, 198, 333, 490, 663, 846?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/70 and -1\/470.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24355282 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 93609?\nAnswer: 93609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/13)\/n*(n**9*n*n)\/n*(n*n*n**(12\/7))\/n**18 assuming n is positive.\nAnswer: n**(-467\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 575\/(-46))*(-8)\/(-14) + -9.\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.3 - 21.2. What is g rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2*o + 72, 5*o + 5 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 0 + 43 - 5*u + 3*u.\nAnswer: u + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 27*u - 20900 = 15*u - 16676 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 4, j: 3, r: 1, p: 4, d: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 32. What is the smallest common multiple of 20 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**7\/5040 + w**6\/72 - w**5\/60 + 2*w**2. Let q(r) be the third derivative of k(r). Give q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -217*t + 212*t - 100, -4*a + 81 = -5*t for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1310 * -6.\nAnswer: -7860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2 + 4*l + 10. List the prime factors of o(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36968720 - 428720. What is d rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(21\/(-378)). Let b(l) = -l - 9. Let d be b(a). Let y be (d + -45)*-1 - (-4 - -3). Calculate the greatest common divisor of y and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735576039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -504006*m**5 + m**2 - 221325*m + 7 wrt m?\nAnswer: -10080120*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -200*a. Let p(c) be the first derivative of 3*c**2\/2 - 236. Determine p(z(x)).\nAnswer: -600*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 241*w**3 + 5*w**2 + 6*w + 3. Let d(b) = b**3 - b**2 - b. Calculate -6*d(s) - g(s).\nAnswer: -247*s**3 + s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r**3 - 4*r**2 + 5 + 5*r**2 + 14*r**3 as f + b*r**2 + m*r**3 + o*r and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.01 + 0.01. Let a = 20.8 + r. What is the closest to -0.3 in 1, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*s = 360, 0 = 2*z - 31*s + 28*s - 720. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1141.1 and 933010.\nAnswer: 931868.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-10))\/(192\/160)*-9. Sort -2, 11, f.\nAnswer: f, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.29368 + -0.39368. Which is smaller: o or -11273?\nAnswer: -11273","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -65 (c) 1\/184915\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*d - 0 + 24, 0 = 3*d + 3*k + 18. What is the common denominator of -139\/6 and ((-6)\/(-16))\/(-2 - d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558953 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000437292 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85740538?\nAnswer: 2, 13, 43, 53, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -85. Let l = -3 + 5. Which is the third smallest value? (a) l (b) w (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 + -1111010111001111111110?\nAnswer: -1111010111010000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 502333469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let m(f) = 548*f + 173*f + 2128 + 923*f - 2128. Determine m(x(j)).\nAnswer: 1644*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, -0.1, -9, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -0.06, 2\/9, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*2 + (-22)\/((-14)\/7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + h**3 - 6*h**3)*(2 + h + 5 + 0*h)*(0*h + 5*h + 0*h).\nAnswer: -40*h**5 - 280*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3009.7 plus -0.1?\nAnswer: -3009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/13)*t*t**(-30)*t)\/(t**28*t**(6\/13)*t) assuming t is positive.\nAnswer: t**(-731\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100674 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g + r - 12 = 0, 2*r + 16 = 2*g. Suppose -5 + 20 = g*h. Calculate the remainder when 15 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1 - ((-46 - -21) + 23) - 29\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-23 + -3)) + -27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5*y + 4623776*x**3*y**3 - 992*x**2*y - 541*y**3 wrt x?\nAnswer: -60*x**2*y + 27742656*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*x**4 - 93*x**2 - 2*x + 1231754 wrt x.\nAnswer: 28*x**3 - 186*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19712563 is divided by 7807.\nAnswer: 7695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmrmmmmmmmmhpmppmmrr. What is prob of sequence mpm?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 - 3000\/19. Let d = 1.6 + -1.2. Which is the nearest to -1? (a) f (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6760)\/(-390))\/(5\/(-1)*(-8)\/10).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:37 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:42 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2205 = 17*t. Let p = t - -162. Solve -f + 4*f = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/8 - 3*a**2. Let w be 107\/4 + 120\/(-32) + 4. Let c(g) = 38*g**2 - w*g**2 - 24*g**2. What is c(f(i))?\nAnswer: -117*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:58 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8507422 and 7574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -214*h + 210*h - 14, -2*h - 4*x = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/12 + d**3\/6 + 3*d**2\/2 - 2*d. Let n be p(0). Suppose 0 = y - 0*y - n. Solve -2*r + y = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 0*j**3 - 15*j + 9*j - 6 - 2*j**2 + 9*j as g*j**3 + r*j**2 + c*j + k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/19 - 876*x\/19 + 107600\/19 = 0 for x.\nAnswer: -538, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186 - 186) + (12 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1133*n**2 - 18*n + 151. Let g(b) = -1131*b**2 - 24*b + 152. Let a(m) = 3*g(m) - 4*z(m). What is the derivative of a(r) wrt r?\nAnswer: 2278*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 1, q: 2, z: 6}. What is prob of sequence sq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187017 and 1491.\nAnswer: 92947449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f - 5. Let k(y) = -y**3 - y**2 - 3*y + 4. Let j be k(-2). Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1011\/(-9))\/((-4)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 54?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/4))**(-37)*(x\/((x*x*x**(2\/3))\/x))\/(x\/(x**0\/x*x)) assuming x is positive.\nAnswer: x**(-1019\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 17*p = -273 + 17 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2576\/68 - ((-150)\/(-170) - 1). Calculate the highest common factor of 95 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m - 3. Let v(h) = -h + 2*h**2 + 6*h**3 + 0*h**2 - 2*h**3. Let t be v(1). Determine u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2605 * 3\nAnswer: -7815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 45 + 18 + 33)*((2*y - y - 2*y)*(6*y - 4*y + 4*y) + 0 + y**2 + 0).\nAnswer: -465*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(26) + sqrt(1664)*-6)\/(sqrt(200)\/sqrt(4)))*-6.\nAnswer: 24 + 282*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2)*27\/3. Let p be q\/12*(-8)\/(-6). What is the second derivative of -3*s + 16*s + 57*s**2 - 35*s**p - 34*s**2 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlwy when four letters picked without replacement from {l: 4, y: 4, w: 2}?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and 49626.\nAnswer: 49625.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/4 - -10. What is the smallest value in z, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**6*p - 812*j**5*p**3 - 3*j**2*p**2 - 358*j*p**3 - 2 wrt j.\nAnswer: -360*j**3*p - 48720*j**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1755604 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(250\/320)*((-84)\/(-378))\/((-24)\/(-18)).\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2 - (-749)\/(-535))\/((-2)\/6245). Is d != 1250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)*x**(-10)*x**(6\/13)\/(x*x*x\/x**(-16)*x))**(-1\/44) assuming x is positive.\nAnswer: x**(309\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + 0*y)*(3 - 3 - 1) + (4*y - 5*y - 2*y + (-2*y + 3*y + 0*y)*(3 + 5 - 2))*(2 - 6 + 2).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.953 + -0.053. Let f = k + 0.1. Which is the biggest value? (a) f (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 253, 644, 1191?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from oqooqopjjqbojbp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q, -2*q + 6*q + 6 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + 10 + (4 - 11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 99, 102, 105, 108, 111?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -120*r**2 - 65. Let d be 33 + -28 - (2 - -20). Let g be ((-65)\/(-4))\/(d\/(-68)). Let u(h) = -11*h**2 - 6. Give g*u(o) - 6*i(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.378 - 13.028. Let u = 14 + m. What is u rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*o - 9, 0 = -z - 3*o + 2 + 1. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = 4*s - 553. Let q = s - 167. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 + -2 - 2) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/269 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 788099.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 24 + (-4292)\/204.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8270253, 16540521, 24810789?\nAnswer: 33081057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70) + (sqrt(70) + (sqrt(70) - (sqrt(70)*-2 + sqrt(70))) - sqrt(70))*2)\/(sqrt(10) - (-2*sqrt(1000) - sqrt(1000))).\nAnswer: 6*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 78 = 41*m - 234 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.903, -3\/7, 2, 0.05, -0.2, -28?\nAnswer: -3.903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/6)\/((40\/(-15))\/8). Which is the smallest value? (a) -1 (b) 1\/3 (c) 1\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/9*a**2 + 0*a + 2\/9*a**4 + 0 + 16\/3*a**3.\nAnswer: 2*a**2*(a - 1)*(a + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2346, -2510, -2674, -2838?\nAnswer: -3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1003 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 1 - 1)*(-92*g - 93*g + 1 + 144*g).\nAnswer: -82*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 52*v**2 - 107*v - 338. Suppose r + 620 = 6*r. Calculate the smallest common multiple of r and j(-50).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.92, -2 in increasing order.\nAnswer: -6, -2, 0.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 141*k**2 - 273*k - 630. Let f(l) = -39*l**2 + 78*l + 180. Let c(s) = 18*f(s) + 5*x(s). Let c(i) = 0. Calculate i.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.013 - -3.987. Sort t, 0, -3\/2, -2\/7.\nAnswer: -3\/2, -2\/7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6425\/75 - 5\/3. Calculate the remainder when 168 is divided by 33\/2*224\/d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38786 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -13990957?\nAnswer: 6\/13990957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f*g*z**2 - 677*f*g*z - 6*f - g + 2765 wrt z?\nAnswer: -6*f*g*z - 677*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 + 396*p**4 + 10316*p**3 + 22596*p**2 - 125568*p - 138240 = 0.\nAnswer: -48, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 27272?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 2*y**2 - 2*y - 4. Calculate the least common multiple of a(-3) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*g - 1)*(-2 + 6 - 3) + 210 - 43*g - 210 + (3*g + 0*g - 2*g)*(-4 + 0 + 2) in the form f*g + h and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9*j + 5*j = 59, 0 = m - 4*j - 15. What is the third biggest value in -3, 7, m, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0272 + 23.9728. Which is smaller: n or -1\/133?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -20*t + 112\/3 + 2\/3*t**2 = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 0*v - 3*v)*(-2*v**2 - 13*v**2 + v**2) as o*v**3 + j + n*v**2 + c*v and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 6\/115, -4 in ascending order.\nAnswer: -4, 6\/115, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*8*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 12) to base 14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + (-2 - -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {b: 6, r: 6, m: 1, f: 1, p: 5}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 5*c, -29*c + 27*c + 4*k = -24. Solve -c*q = l + 3, 10*q - 11*q - 14 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 97338 + 98102 - 195440.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75469, 75470, 75471, 75472, 75473, 75474?\nAnswer: 75475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.7351, -0.7, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 10*y + 14. Let o be j(-11). Suppose 3*k - 5*g = 26, 7*k - o*k - 32 = 4*g. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-3*s - 2*s**5 + 3*s) + 0*s**5 + 0*s**5 + s**5 + (0*s**3 - s**3 - 3*s**3)*(-2*s**2 + 5*s - 5*s).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1330 and 5.\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/129987 and -97\/132?\nAnswer: 519948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vta when three letters picked without replacement from {v: 1, w: 1, x: 2, t: 1, a: 1, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 109 = 3*x - u, -x + 13 = -3*u. Suppose -2*m = 10, m = 16*c - 11*c - 215. What is the highest common divisor of c and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**3 - 4*z**2 + 4*z**2)*(19472 + 17079 - 68367 - 55843) in the form s + k*z + h*z**3 + l*z**2 and give h.\nAnswer: 262977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9722.671 milligrams in kilograms?\nAnswer: 0.009722671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-20) + (-394)\/(-10). Suppose -d - b = -3*d. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21086346*b**5 + 48087608*b**2 wrt b?\nAnswer: 1265180760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 642\/(-107) + ((-9)\/(-2) - 7\/14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-8\/7)\/(n*n*n**(-8)*n*n*n*n**(3\/7)))\/(n**0*n**(-1\/3)*n)**(8\/3) assuming n is positive.\nAnswer: n**(-22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - (-37)\/(185\/7230). Let -13*k + m*k**3 - 1446*k**3 - 6*k**2 + 5*k = 0. Calculate k.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66808, -66806, -66804, -66802, -66800, -66798?\nAnswer: -66796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:57 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:45 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 81\/(-30))\/(12\/(-10)). Which is the closest to -1? (a) z (b) 0 (c) -0.2 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100189698 divided by -266.\nAnswer: 376653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 347074 - 216795. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -366004860 - 95\nAnswer: -366004955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -554, -141, 3, 1.\nAnswer: -554, -141, 1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0*p = 0, -20 = -i - 110*p + 111*p for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*h + 396 = -3894 - 810 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjzddj. Give prob of sequence jz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 6532 (c) 0.1 (d) -1 (e) -5\/6 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2445132 divided by 611283.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose 0 = -4*l - b + 77, 238 - 150 = 5*l + 4*b. What is the highest common factor of q and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267 is divided by 280?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(5*sqrt(324)).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.332367 or -1\/15?\nAnswer: -13.332367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, 1 u, and 1 a when four letters picked without replacement from {i: 1, u: 2, o: 1, w: 2, a: 1, d: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262 - 24. Let z = q + -334. Let r = -57 - z. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 6*b**2 - 5*b - 14. What is the units digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3050*v + 3050*v - 40*v**2)*(-373*v - 529*v - 25*v + 266*v + (0 + 0 - v)*(0 + 4 - 3)).\nAnswer: 26480*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3, -16 = 3*c + 5*h - 30. Let i(g) be the first derivative of -2\/5*g**5 - 1\/6*g**6 + 0*g + 2\/3*g**c + 12 + 1\/2*g**2 + 0*g**4. Factor i(f).\nAnswer: -f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 14*j - 5082 = 0. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3 - -3) + 1. Suppose -q*h - 190 = -6*h. Let i = 16 + 3. What is the highest common divisor of h and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161220 is divided by 1109?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 4*p + 13 = 33*c, -4 = 5*c + 3*p. Are c and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 392370782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 1634?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, p: 4, k: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -58. Suppose 0 = 3*n - 2*n + 5*u - i, -3*n + 14 = 2*u. Which is the closest to 1? (a) -5 (b) -16 (c) n (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 36, 85, 176, 327, 556, 881?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3213, 12833, 28851, 51267, 80081?\n\"Answer: 3199*l**2 + 23*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139260 divided by 3?\nAnswer: 46420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b - 40*b - 41*b + 120*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -0.37308.\nAnswer: -0.62692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.69 in -132\/5, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/8 - 3*l**3\/8 - l**2\/4.\nAnswer: -l**2*(l + 1)*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59727.8 - -64993. What is z rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/75 - (-1 - (-68)\/60). Suppose -3*g - g + 4 = m. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.68616 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -85*s**3 + 9*s**2 - 63*s - 16. Let g(i) = 57*i**3 - 6*i**2 + 45*i + 11. What is -7*g(a) - 5*j(a)?\nAnswer: 26*a**3 - 3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (390\/(-42) - -11)\/((-4)\/(-42))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 131.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 1426.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-562)\/(-24) - 8\/(-24) and -65\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6303 + 6303 - 8*c**2. Let a(v) = v - 1. Let b be a(5). Let g(t) = -5*t**2 + b*t**2 - t**2. Calculate w(g(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14.9 times 164\nAnswer: 2443.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let j(z) = 5*z + 4. Let m(l) = -44*l - 34. Let p(r) = -52*j(r) - 6*m(r). Determine p(i(u)).\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8 - (-548)\/(-48))\/(2\/(-4)) and 137\/4536?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 - -143. Let l(r) = r**3 - r**2. Let y(x) = 2*x**2 + 13*x + 23. Let a(q) = k*l(q) - y(q). What is the derivative of a(v) wrt v?\nAnswer: -6*v**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*s**3 - 134*s**3 - 2*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580916390?\nAnswer: 2, 5, 58091639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 3. Let p(g) = 2 - 6*g + a - 4 - 8. What is the smallest common multiple of 5 and p(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168864 and 28861672.\nAnswer: 346340064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 111000011011011 (base 2) to base 3\nAnswer: 1110122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 - 57*y - 398. What is l(-7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/82 and -133\/30?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3\/6 - d**2\/2 - 2*d. Let h be u(-5). Let t be (-1)\/(-2)*-2*-3. Solve -t*g + h*j - 1 = 2*g, 3*g + 5*j = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165660 and 60240.\nAnswer: 662640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -747 - 65699606\nAnswer: -65700353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + 14*u - 28. Let x(r) = -r**2 + 5*r - 9. Let h(o) = 2*c(o) - 7*x(o). Determine h(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -39*v + 920. Calculate the least common multiple of 55 and v.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f - 59. Let z(n) = -12*n + 251. What is z(a(k))?\nAnswer: -48*k + 959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 250125930 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -7 (c) 23 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2979398 and -105\/26.\nAnswer: 38732174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6569970 and 95\/4.\nAnswer: 13139940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 3\/20*y**5 + 0 - 14*y**2 + 0*y**4 - 1\/15*y**7 + 0*y**6 + 0*y**3 + 0*y. What is the third derivative of s(m) wrt m?\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957 (base 11) to base 9.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 788558 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**2 + 13*u - 4. Let f = 811 - 805. Let g(b) = -3*b**2 + 6*b - 2. Calculate f*j(y) - 13*g(y).\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1*1) - (19 + -17). Let r be -24*((-4)\/3)\/m. Let a = -23 - r. Calculate the highest common factor of a and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40303, 40301, 40297, 40291, 40283, 40273?\nAnswer: 40261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115977 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 26*y - 361. Let t be s(14). Which is the nearest to -2? (a) t (b) 13 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6555?\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 176?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1538\/51 + -524\/17. Let l = 11 - 8. Let j = 0.3 - 1.3. What is the second smallest value in j, m, 2\/5, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35190 + 15711 + 15252)*(-14*o - 4 + 6*o + 2).\nAnswer: 33816*o + 8454","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = -3*c - 6, -3*q = -15. Suppose -8*j + 640 = -3*j. Let x = j - 126. Put c, 5, x in descending order.\nAnswer: 5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 7*v + 11. Let g(n) = -3*n**2 + n + 2. Let r(j) = -g(j) + l(j). Let t(z) = 5*z**2 + 7*z + 10. Calculate 6*r(a) - 5*t(a).\nAnswer: -a**2 + a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**4 - 1\/210*r**7 - 1\/60*r**5 + 0 + 0*r + 1\/60*r**6 - 10*r**2 + 0*r**3. Determine x, given that d(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/13)\/i)\/i*i**(-3\/16)\/i)\/(i**22*i*i**(-34)) assuming i is positive.\nAnswer: i**(1673\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(192) + sqrt(192))*2 + 2)**2 + 1 + sqrt(243) + 5 + 2.\nAnswer: -119*sqrt(3) + 3084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = -3*k + 35, -31 = 4*r + k. Is -8 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71053.8666 rounded to the nearest integer?\nAnswer: -71054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738807 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 38*n**2 - 239*n + 28. Let y be g(-30). Which is the second biggest value? (a) 0.161 (b) 0.07 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 769 + 53. Let l = 140 + o. Solve -5*j - 5*t = 40, 3*j + l = 5*t - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s - 5*a + 25, -2*s - 2 = -3*a. Let o(x) = x**2 - 2*x + 1. What are the prime factors of o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22988.\nAnswer: 2, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 18. Let a = 11 - c. Let i = a - -2. What is the second smallest value in i, 0, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 14. Let h be w(6). Suppose -188 = -2*f + 5*d + 224, h*f + d - 846 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - 0) + (7 - -1) + -53 + 48?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (-3 + sqrt(684)))**2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3)*13 + 1. Let y = 28 + q. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -32\nAnswer: 13\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-11 + 1)\/(-5). Solve 5 = -5*g - y*n, 4*g - 1 + 4 = -3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14394, 57437, 129176, 229611, 358742, 516569?\n\"Answer: 14348*f**2 - f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**7\/35 - 73*y**6\/40 + 7*y**5\/4 + 9*y**4\/2 + 7*y**2 + 117*y. Factor j(i).\nAnswer: 3*i*(i - 36)*(i - 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 2*f)*(f**3 + f**3 + 0*f**3) + (-3*f + f + 0*f)*(2*f**3 + f**3 + 2*f**3).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1235 (base 6) to base 13.\nAnswer: -1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103.99 + -31306\nAnswer: -31409.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190936 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-36827)\/(-2304318))\/(7\/12)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/22441 (b) 2 (c) 0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 116, -364, -1046, -1936, -3040, -4364, -5914?\nAnswer: -7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (-85)\/20 - (-1 - (-158007)\/(-12)).\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1473*k = -1475*k - 2*g + 122, -242 = -5*k + 4*g. Let c(d) = -d**2 + 9*d - 1. Let o be (0 - (-2)\/6)*15. What is the remainder when k is divided by c(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8474 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 8, 100, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 8*w - 2. Let l be t(-7). What is the greatest common divisor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*s + 18, 0*q = q + 3*s + 13. Suppose -39 = -q*y - 2*k + 15, -4 = 4*k. What is the remainder when 111 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/5)\/f*f\/f**(-11)*f*f*((f*(f*f**(3\/10))\/f)\/f)\/(f*f**(1\/5)) assuming f is positive.\nAnswer: f**(117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1025*y - 811*y + 3481*y in the form g + d*y and give d.\nAnswer: 3695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 477.7 and -5?\nAnswer: 482.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-6)\/4)\/(3\/(-6)). Which is smaller: n or 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*t - 1357 = 177*t - 5*j, -5*t - 2*j + 2249 = 0. What is the remainder when 458 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k**4 - 6*k**3 - k**2 - 6. Let d(m) = -21*m**4 + 11*m**3 + 2*m**2 + 11. Let r(u) = 6*d(u) + 11*l(u). What is the third derivative of r(t) wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 118?\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 0*z**3 - 52*z + 25\/2*z**2 - 1\/4*z**4 + 22. Differentiate d(c) wrt c.\nAnswer: -3*c**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 10 = 3*z, -2*n + 3*n = 5*z + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -548910, -2195629, -4940168, -8782533, -13722730, -19760765, -26896644, -35130373?\n\"Answer: -z**3 - 548904*z**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 8 = -2*l, 5*l - 4*r = 7. What is the derivative of 0 - 1 - 1 + 3 + 3*x**l wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2. Let y(i) = 44*i**2 + 55*i**2 - 18*i - 150*i**2 + 32*i**2. Let k(o) = 39*o**2 + 33*o. Let t(x) = -6*k(x) - 11*y(x). Calculate t(p(d)).\nAnswer: -400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/48 + 30*9009\/(-5040)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 871650 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 129. Let m(j) = -14*j. Determine m(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let f(k) be the second derivative of k**6\/360 - k**4\/2 + 6*k. Let x(q) be the third derivative of f(q). Calculate i(x(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = h + 12, -2*u - 2 = 0. Let w = h + 13. Suppose -w*d + 31 = 11. Solve j = -j + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from rjjaajarcaarrajraa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -375 - -42?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729*f + 36085 = -698*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (973\/(-28))\/(4\/(-2560))?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + -8. Let a be (9\/l)\/(9\/(-66))*5. Calculate the greatest common divisor of 110 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-1)\/2)\/(-2). Which is smaller: x or 12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 46413900\nAnswer: 1\/23206950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 9491067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/2 + 431*y**2\/2 - 643*y + 428 = 0.\nAnswer: 1, 2, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287494, 574656, 861818, 1148980, 1436142?\nAnswer: 1723304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 100780 = -r, -5*q + 100780 = -21*r + 23*r. List the prime factors of q.\nAnswer: 2, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/11 + (0 - 1). Let l(r) = -r - 1. Let x be l(-4). Suppose -b = 5*p - 36, -20*p + x*b - 10 = -21*p. Sort p, -3, a in decreasing order.\nAnswer: p, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 + 10*f - 4. Let m be q(5). Sort m, -2, 55 in descending order.\nAnswer: 55, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/51*(-4)\/2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347*v + 428 with respect to v.\nAnswer: -347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 3*q - 9. Let s be z(5). Let y(r) = 365*r**3 + 3*r - 2. Let d be y(s). Let v = -155 + d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i + 75 = 198*i - 103*i for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let b(o) = 2290013*o - 2. Give q(b(w)).\nAnswer: 4580026*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:12 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 9d0?\nAnswer: 9d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*g - 51, 25*t = 26*t - 2*g - 3. Solve t*p - 15*p = -36 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190288 + 39892. Round l to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -8 - 8) + (1 - -34). What is the highest common factor of w and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**7\/14 - t**6\/5 + t**4\/2 + t**3\/2 + 28*t. Factor a(g).\nAnswer: -3*g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -16, -15, 8, 65, 168, 329, 560?\n\"Answer: 2*p**3 - 7*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-156)\/546*(-84)\/2. Solve 4*o - 16 = 0, 5*o - y = -8*w + 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 4. Let g(m) = -75*m + 5 + 76*m + 3. Let d be g(t). Solve 2*l - 9 = 3*i - 0, 4 = 2*l - d*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -570*k**5 - 23*k**3 - k - 2085 wrt k.\nAnswer: -11400*k**3 - 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l + 71. Calculate f(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 1.98. Let m = 50.858 + 0.142. Let o = m - 75. What is the biggest value in o, f, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-8 + 3)) + -1 - -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrriyyry. Give prob of picking 1 i, 1 r, and 1 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2260016 - 0?\nAnswer: -2260016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -1716 + 295. Suppose 208*x - k*x = -710. Is -141 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 + 38. Let i be m(0). Let w be (-5115)\/186*(-2 + (-2)\/5). Let n(s) = 23*s - i - w*s + 23*s + 19*s. Let g(p) = -2*p**2. What is g(n(a))?\nAnswer: -2*a**2 - 152*a - 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 + 2434\/3. Which is bigger: b or -0.0327?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-21)\/(-15))*(-23 + 8138\/351).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2101121120020 (base 3) to base 15\nAnswer: 1a1c5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/((-1*sqrt(64))\/sqrt(8)))\/(sqrt(192)*-3*-4 + sqrt(192)).\nAnswer: -sqrt(17)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98 or -99\/1585?\nAnswer: -99\/1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 817, 1624, 2431, 3238, 4045, 4852?\n\"Answer: 807*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 1 = -s - 2*w, -2*s - w - 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:37 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.5, 16, 1\/4762.\nAnswer: -0.5, 1\/4762, 1\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 b, and 1 d when four letters picked without replacement from {d: 2, y: 1, i: 7, b: 8}?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 41. Let z(o) = o + 14. Determine -3*u(n) - 8*z(n).\nAnswer: n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705686094 to the power of 1\/3, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (9 - (5 + 6)) - (26 - 25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 3*g + 2*g)*(-2 + 1 + 2) + (-5*g + 2*g + 2*g)*(6 - 15 - 10) as c*g + s and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-16) + 2730\/784 + -4. What is the nearest to -0.1 in f, -12, 0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 6:39 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -493 - -484. Does 27 divide a - (15300\/4)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11826\/5 + -2365. Which is the closest to 21? (a) l (b) -3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1141 = 1539. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 24. Find the second derivative of -5*q + 8*q**3 + m*q - 38*q**3 wrt q.\nAnswer: -180*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1179.8 + -1179.8065. Which is smaller: v or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5514183, -11028343, -16542505, -22056669, -27570835, -33085003, -38599173?\n\"Answer: -s**2 - 5514157*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 2. Let n(m) = 2*m - 2. Calculate -6*n(t) + 5*z(t).\nAnswer: -7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 25, 137, 357, 721, 1265?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g + 3. Let m(c) = -4. Determine -d(a) + 4*m(a).\nAnswer: -8*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -32310143?\nAnswer: 32310141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*k = k - 7, -5*a + 3*k + 17 = 0. Let y(p) be the first derivative of p**2 + 12*p + 10. Let g be y(-4). Solve -g = -2*d + a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 1, f: 1, v: 2, g: 1, y: 1, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37671 is divided by 138?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:57 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a - 4. Let l(f) = f**3 + 4*f**2 - 4*f - 17. Let i be l(-3). What is m(i)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/6)\/((-2)\/(-152)). Suppose -6*j = -j - c. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 4*g**3 - g**2 - 7 - 3*g**2 + 7*g. Let t(x) be the first derivative of x**4\/2 - x**3\/3 + x**2 - 2*x - 30420. Determine 4*c(v) - 14*t(v).\nAnswer: -4*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13829419390655 - -3.\nAnswer: -13829419390652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-104)*(-8)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/(2680\/(-144))*(-10)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4496000 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q**2 + 5*q**2 - 8*q**2 in the form j*q + x + g*q**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 19) + 7 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -11 in increasing order.\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:48 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27703 and 566?\nAnswer: -156.79898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqeqeqeeqqqqql?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a. Suppose -u + x + 11 = 0, 10*u - 4*x = 11*u + 14. Suppose 2*k + 5*r - 122 = a, u = -4*r - 2. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972123309 to the power of 1\/3, to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 10*i**2 - 21*i + 21. Let o be y(-6). Which is the nearest to -6? (a) -0.4 (b) o (c) -0.2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 2. Let c be ((-2)\/(-5))\/(1\/5). Let q be i(c). Suppose -2 - q = -2*f, o = 3*f - 9. Let z(s) = s - 1. Calculate z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -120, -318, -594, -942, -1356, -1830, -2358?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 + 6 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377351753.\nAnswer: 377351753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 181916197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 + 2376*s = 0.\nAnswer: -792, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3880, 7923, 12136, 16525, 21096, 25855?\n\"Answer: d**3 + 79*d**2 + 3799*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let l(k) = -k - 6. Suppose -16 + 4 = 2*i. Let a(r) = 5. Let z(w) = i*a(w) - 5*l(w). Calculate n(z(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8969*i**3*k + k - 12009 wrt i?\nAnswer: -26907*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 179642753 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -3\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76923, 80203, 85677, 93351, 103231, 115323?\nAnswer: 129633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 67*n - 137*n + 68*n + 18.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -16, 1\/7, -85.\nAnswer: -85, -16, -0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -15*t + 2835. Let u = t - 210. Solve 4*c = a - u, a + 2 + 11 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 863\/1289 (b) 4 (c) 0.3 (d) -0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2*i**2 - 3*i + 698. Let r(x) = -25*x + 23. Let u(c) = 224*c - 208. Let a(z) = 28*r(z) + 3*u(z). Calculate -3*a(o) - 20*q(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 37\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 26*x - 1. Let t(c) = -3*c**2 - 138*c + 16. Determine -6*k(r) + t(r).\nAnswer: 3*r**2 + 18*r + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 7*r**2 - 3*r + 9. Let b be i(-7). Find the common denominator of b\/40*(-14)\/18 and ((-2691)\/108 + -8)*4\/(-30).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29165 = -152*n + 22593 + 10410. Is n >= 396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784244 and 23066.\nAnswer: 784244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*s + 85*s + 74*s - 236*s + 2*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 77. Let l = -32 + t. Solve d + d = -2*z, -l*z = -d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -68913.8 and 85873.\nAnswer: 16959.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -19?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*q = 1787*q + 5071*q - 749910 for q.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from {r: 4, d: 6, e: 1, t: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 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: 1133b (base 14) to base 8\nAnswer: 121511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 95770 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 2, t: 1, o: 1, n: 5, f: 6}. What is prob of picking 1 n and 2 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38562857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10930951 divided by -293\nAnswer: 37307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 5108305?\nAnswer: 158357455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44897751.\nAnswer: 3, 1429, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2. Let i(f) = 5*f - 120. Let t(y) = -2*d(y) - i(y). What is the units digit of t(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from rxmmcrrmmmgk?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7847 + -7863. What is the third smallest value in 4\/7, 0.6, j, -2\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 79*g**3 - 83*g**3 + 156*g**3 + (1 + 0 - 2)*(3*g**3 + g**3 - 2*g**3) + g - g - 2*g**3 - g**3 + 3*g**2 - 3*g**2)*(-4*g + 4*g - 2*g).\nAnswer: 22*g**4 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + 47 - (-57 + 39).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 516683\/18 - 28713. What is the common denominator of p and 79\/42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s - 6. Let n be d(4). Suppose -5*k + n = 2. Suppose 5*f = -5, 4*p - 34 = -k*f + 142. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928668620 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 5. Let c be (j\/(-1))\/(3\/(-6)). Suppose 0 = -r - c + 44. Calculate the least common multiple of 6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-11 - -8) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 156754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:24 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340 + -174. Suppose -179 = 3*l + 5*p + 129, -2*l + 3*p = 237. Let o = l + i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4052806 (base 9) to base 14\nAnswer: 4035c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t - 2*d + 35 = 0, 20 = 2*t + 2*d. Suppose 0 = t*i - 35 + 10. Let r be (-45)\/2*1*-2. Calculate the highest common divisor of i and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0*g**2 + 0*g**3 - 7*g + 5\/12*g**4 + 0. Let m(n) be the third derivative of -5*n**4\/24 + 16*n**2. Determine d(m(z)).\nAnswer: 125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/87 and -26\/6351?\nAnswer: 6351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264 - 1397 - 693 - 39)*(-3*a + 2 - 2).\nAnswer: 5595*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 205*x - 2459. Calculate q(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1488734 is divided by 148567.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:30 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 27 = -4*p + 4*s, -39 = 4*p + 5*s. Let b be (-95)\/75 + p\/(-10). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-535)\/(-3))\/(170\/306). What is the highest common factor of 1819 and i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 - 2 - 4678736*h**2 + 4*h**3 - 30*h**3 + 4678737*h**2 + 2*h - 8*h**3. Calculate w(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = q + 3, 3*o - q = 3 - 6. Let c = 145 + o. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49156 + -59.23?\nAnswer: 49096.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18905 is divided by 5297.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(68) - (1 + sqrt(68) + -2))*3 + -6*-5*((sqrt(17) - sqrt(51)\/sqrt(3)) + 5))**2)*-6.\nAnswer: -140442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -444323 + 24?\nAnswer: -444244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 2}. What is prob of picking 1 a and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28503298 to the nearest integer?\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62787 = -2340*m - 40731 - 79529 + 40307 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-196))\/(-2 - (-12)\/(-21)). Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6968 + 357. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259724 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(6\/16). Suppose 3*u + 4*f = u + 48, -56 = -2*u + r*f. Suppose 3*s + u = 137. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.0622, -1\/9, 0.3, 931, 1\/13?\nAnswer: 931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273186271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, p: 1, i: 11}. What is prob of sequence pizz?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -22*i**2 + 13*i - 9. What is l(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 c when four letters picked without replacement from scccllllcclllcs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoooozoooozooooooooo. What is prob of picking 2 o?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 93*k**2 - 16729*k + 2759. What is n(-184)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795617?\nAnswer: 17, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14796159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x**2 + 388*x + 232 = 0. What is x?\nAnswer: -29\/5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**8)**(-21)\/((a*a*a*(a**(-1\/2)*a)\/a*a)\/(a**(-4\/9)*a)) assuming a is positive.\nAnswer: a**(2593\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/162096 and 85\/12217986.\nAnswer: 97743888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*m - 112*m - 48352 = 0. Is 96 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134544 is divided by 294?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at most 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4104 divided by -4104\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-8) + 1\/4. Let s = r + -4. Suppose -17 = -2*w - w - 5*y, -3*w - s*y = -14. Solve i + q + 10 = -w*q, i + 9 = -4*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) 5\/5009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((5*(sqrt(684) + -1*sqrt(684)))**2 - sqrt(684)) + (-1 + 0 + sqrt(684))**2)*-1*2.\nAnswer: -108*sqrt(19) + 4110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 5 (c) -749 (d) 0.5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**2 - 6*t + 11. Let j(o) = -3*o. What is a(j(z))?\nAnswer: -6*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**3\/3 + 6*p**2 + 33*p + 3. Let r be x(12). Find the second derivative of 9*z**5 + z - r*z**5 - 5*z wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from vvzzzzzvzzzz?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-120))\/(72\/240).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 2*z)*(-1 + 1 + 1) + 4*z - 6 + 6 + (z + 4 - 4)*(5 - 1 - 2).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 32, 72, 136, 230, 360, 532, 752?\n\"Answer: l**3 + 3*l**2 + 6*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.4. Let r = -0.07 + -0.53. Let j = i - r. Which is the second biggest value? (a) 1\/4 (b) 3\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/22)\/(2054\/11297).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546 less than 1726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26969*p**5 + 6*p**2 - p + 1452?\nAnswer: -1618140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3620697 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802150023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 - 100 = 5*c. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*h - 122. Let d(j) = 17*j + 4. Suppose l = -l - 12. Let a(y) = -8*y - 2. Calculate h*a(u) + l*d(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/25*(2 - 7\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**5)\/i**4*((i*i**0)\/i)**(2\/61))\/((i*i**0\/i*i\/(i**(-2)*i))\/(i**(1\/4))**(2\/71)) assuming i is positive.\nAnswer: i**(1\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7 - (-411 + 421)) + 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a - 72. Let l be (-4)\/a - (-86)\/18. Find the second derivative of 0*u**2 + 3*u**5 + 2*u - 7*u**l + 0*u**2 wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32088*k**2 - 8026*k + 1.\nAnswer: (4*k - 1)*(8022*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -65. Let p be 4\/42*(-21)\/u. Which is the second smallest value? (a) 4\/7 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 28. Calculate the least common multiple of ((-184)\/230)\/((-32)\/3680) and w.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 1073?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(275) + 2 + 2*sqrt(275) - (sqrt(275) + sqrt(275) + -1)*6)**2*-4*1.\nAnswer: -446780 + 14400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 4. Suppose -10 = -n - s*n. Suppose -n*l + 15 = 1. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 35*m**2 - 61*m**2 + 50*m**3 - m + 26*m**2.\nAnswer: 50*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ymmmmymmmmm.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -3.9\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 6:53 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 1, -2, -74261?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*t - 25, -5*h + h - 5*t = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316 + -315. Let x be (744\/374 + -2)*(-2)\/(-4). Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7560, -7500, -7334, -7008, -6468, -5660, -4530, -3024?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 5*o**2 - 2*o + 4. Let d(g) = -g**3 - g**2 - g + 1. Let m(r) = a(r) - d(r). What is m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 6.6662?\nAnswer: -1.99986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 451, -0.1, 2\/11 in increasing order.\nAnswer: -1, -0.1, 2\/11, 8, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88, 273, 572, 979, 1488, 2093, 2788?\n\"Answer: -b**3 + 63*b**2 + 3*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-9))\/((-215)\/(-495) - 240\/440) - 8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/385*(-98)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from trtrrwrrqtrwwwrwwr.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440692848 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16c2 - 1ebb?\nAnswer: -7f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-1 + -2 + 1 + -5 - -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -658056 (base 9) in base 2?\nAnswer: -1011111111100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8306362 to the nearest integer?\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2405 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 1\/4, -0.4, 3, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 25, 0 in decreasing order.\nAnswer: 25, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from {m: 1, d: 3, r: 2, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.2 - -2.1. Let c = z - 11.3. Is 2\/3 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -46, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001478 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22489?\nAnswer: 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*n + 80 = 0. Suppose n*w + 8 = 18*w. Suppose -8*v + w*v + 380 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*w**3 - 3*w - 22*w**3 - 2*w**2 + 0*w + 0*w - 3 in the form j*w + i*w**2 + a*w**3 + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 4*i. Suppose 2*u - 22 = 4*s, 5*u + 4 - 35 = 2*s. Suppose 0 = g + 3 - u. Suppose g*k = k + 5. Calculate y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (6 + 4 - 17) + 16 + 18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 + 50*w - 55 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*i + i - 12, -2*i = 2*l - 4. Suppose 1 - 34 = -l*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 14)*(-3 - n + 3) + (1 + 3 - 7)*(14*n - 32*n + 0*n).\nAnswer: 69*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/2997 - -1010089\/59940. Which is greater: c or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1150584 - 1150584 - 1098*t**2)*(-3*t + 0*t - t)*(2 + 1 - 5) in the form y + v*t + m*t**2 + l*t**3 and give l.\nAnswer: -8784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l)*(1 - 1 - 1) - 562*l - 624*l + 1261*l - 4 + 0*l - 2*l + l + (3*l - 5*l + 4*l)*(0 + 1 - 3).\nAnswer: 69*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from xxxxxzbzbrxzririzbir?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 4*t + 3*t + (2 - 2 + t)*(1 - 2 + 0) + 3*t + 2 + 2*t - 3*t)*(-5*t - 14*t + 7*t) as i + p*t**2 + k*t and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -49*q - 287. Calculate t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -60\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 51*p**2 - 50*p + 6. Give h(50).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89\/56 - -15\/8. Let u(v) = v**2 + v + 3. Let p be u(0). Which is the closest to 0? (a) p (b) w (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37778281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59204932 divided by -14083?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27716.64 litres?\nAnswer: 27716640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r + 21*r + 162 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -622 less than or equal to 981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104644000 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16695 and 3885?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.3 - -153. Let i = -10.8 + s. What is the fourth smallest value in i, 2\/15, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202.380455 rounded to the nearest 10?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19017 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-3)*t))**(3\/8) assuming t is positive.\nAnswer: t**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15*1\/4*-2 and -16\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -5)*1\/(-2). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 10. Suppose q - 4 = -2. Find f such that 5*f**2 - 3*f**o + f - 3*f**q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 433 - 6748*v**6 - 32690*v**5 + 145 + 4*v**2 + 32690*v**5 + v wrt v.\nAnswer: -809760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z + 1850 = 16*z. Let g = 9 + -164. Let x = z - g. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20075 - -11297. Calculate the highest common factor of 92 and p.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-36) - (-10)\/(3960\/209)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1266228383\/1265 - 1000971. Find the common denominator of j and -14\/345.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*x - 8 = 5, 5*x = -5*q - 35. Let a be q\/6*(0 - -2). Let t = -131\/20 + 27\/4. Sort -4, a, t.\nAnswer: -4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -190 (c) -1\/5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 4763328187 + 4763328187.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from {g: 5, n: 2, s: 4, z: 3, d: 1, a: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 1913\/13. Which is the second smallest value? (a) 1\/3 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 4*n**2 + n**2 + n**2 - 2*n**2 + 2*n**2 + (2 - 2 + 2*n)*(-3*n + 0*n + 4*n) + n**2 + 0*n**2 - 2*n**2)*(n**2 - 4*n**2 + n**2)*(-2*n + 0*n + 6*n).\nAnswer: -40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 5*a + 144. Solve -m = a - 74 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8352 and 6624.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**6\/6 - 107*b**5\/2 - 1055*b**4\/3 - 700*b**3 + 1901*b. Factor u(k).\nAnswer: -5*k*(k + 2)**2*(k + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*m - 2, 3*c - 2*m = 8. Suppose -c*x + 56 = 8. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 20*i**2 + 229*i + 35. Let n be c(-8). Suppose 3*z = d + 9, d - 4*d - 33 = -3*z. Put n, -3, -1, d in descending order.\nAnswer: -1, -3, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 5*y. Suppose 0 = -0*x + y*x - 4*o - 20, x = -o + 7. Find r such that 30*r**5 - 4*r**3 + 3*r**4 - 15*r**3 - 3*r**2 + x*r - 17*r**3 = 0.\nAnswer: -1, -1\/2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8922 divided by -3?\nAnswer: -2974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9\/8 (b) 1\/2 (c) 131 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/44*24\/(-18). What is the biggest value in j, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 9\/4 (c) 1\/7 (d) -5 (e) -77\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 93 = -3*c + 3*z, 5*c = z - 143. Let r = c + 20. Let v = 0 - r. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) 0.5 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -254353 bigger than -254363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -26, -24, -18, -8, 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158507773 greater than 158507773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56177*s**4*w**3 - 28436*w**3 wrt s.\nAnswer: -224708*s**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 + 0 = x, 12 = 3*v + 3*x. Let z(q) = 10*q + 32. Let y be z(-3). Solve y*p + p = v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 33. Suppose -8 = -3*t - 0*r - r, -c*r = -2*t - 6. Let v be ((-4)\/20)\/(t\/(-18)). Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-1)\/(-4)*2. Suppose s*c + 4 = -11. Let r(g) be the third derivative of -g**5\/60 - g**4\/8 - g**3\/6 - g**2. What is r(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 13 - (-2 + (-7 - -6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 22. What is the smallest common multiple of 11 and n(-16)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t + 1. Suppose -5*o + 3*g - 7 = 0, 0*g - 4*g = -2*o - 14. Suppose 0 = a - 2 + o. Calculate x(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -238\/15 or -17?\nAnswer: -238\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + 4. Let d = 30 + -27. Let o be 1 + 0 - (d - (0 - -5)). Calculate the greatest common divisor of w and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -621, -626, -633?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006924 to 6 decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -21. Let f be (5 - c) + (3 - 4). Let l(v) = 12*v**2 + f*v**2 - 8*v**2. Let p(g) = -g**2. What is l(p(k))?\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47417357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-8)\/(-14)) - (-11)\/22. Suppose z = -k*z - 805000. Round z to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 175\/(-21))*-3. Suppose -p + 1 = 0, -2*p = 4*v + 2*p. Which is the biggest value? (a) 0.1 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007947 to 5 decimal places.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(8\/9)\/z)\/z*z)\/z**(2\/63)*(z**(3\/23)*z)\/z**(-38) assuming z is positive.\nAnswer: z**(6438\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1326\/(-3315))\/((-16)\/(-920)*-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddldldlldllld?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhzh when four letters picked without replacement from zhhhhhhzhhh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(207\/(-83835)*20)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - f - 18 = 0, 3*a - 7*a - 3*f + 93 = 0. Suppose -m = 3*g + 7, -7*m - 92 = -2*m - 4*g. Let d = m + a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316*j**2 - 20*j**2 - 671*j**2 - 682*j**2.\nAnswer: -57*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(c + 0*c - 2*c) + 2*c + 1 - 1 - 6*c - 6*c + 0*c + 2*c - 23 - 32 - 4 to the form g*c + x and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77682 and 3586.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 + 21.6. Let k = q + -3.5. Round k to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7521?\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*j**2*w**5 + 4*j**2*w + 2*j**2 - 81*j*w**5 + 2*j - 826 wrt w.\nAnswer: -960*j**2*w**3 - 1620*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -838921*x**3 - 332*x**2 + 64 wrt x.\nAnswer: -5033526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/78 and -97\/14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**2 + 18*j**2 + j**3 - 29*j**2)*(226*j - 226*j + 37*j**2).\nAnswer: 37*j**5 + 111*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1047 + -548. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 30) + 11 - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = 0, 3*d = -y - 0*y + 17. Let r = d - -3. Let o be 3\/(6\/r) - 3. Is -2\/15 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/7 + 2*d**2\/7 - 32*d\/7 - 96\/7 = 0. What is d?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182703300 and 2698150?\nAnswer: 1278923100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:46 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1836.\nAnswer: -734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 bigger than -129762\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -9) + (-2 - 6) + (-11 - 49).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -159 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5844739*p**4 - 2393525 with respect to p.\nAnswer: -23378956*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, w: 2}. Give prob of sequence zww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1887 and 407?\nAnswer: 20757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*n - 9 - 7 = 0, -4*n = 3*z - 4. Let h be z\/(-2) - (2 - 0). Suppose h*i + 5*i = 95. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(65)*-2 - sqrt(65)))\/(sqrt(125)*-3))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + (-1442)\/(-70). Let x be (-8)\/(-6)*(-9)\/6. Let t = a + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:44 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*a - 2*a**2 + 1 + 4 to t + r*a + v*a**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-120) + -23 + (2331\/84 - 5).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 + l - 1. Let j(b) = -10*b**5 + 2*b**3 + 70*b**2 + 2*b - 2. Let r(u) = j(u) - 2*n(u). Find the third derivative of r(v) wrt v.\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -52.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*m - 15 = 0, -2 = m + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {q: 6, c: 2, h: 2, p: 3, e: 4, o: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3404 and -133\/18?\nAnswer: 30636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-132))\/(1\/(-33)). Solve -5*z + 2*u + v = 0, -3*z + u = -2*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -5*y**4\/6 + 7*y**3 - y**2 + 8. Is f(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 64*o + 80. Does 56 divide g(51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/7*u + 0 - 2\/7*u**2.\nAnswer: -2*u*(u + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187170649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21800526 to the nearest integer?\nAnswer: 4669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 14*n**2 + 14*n + 12. Let d be (-3)\/2*260\/30. Let k be b(d). What is the common denominator of -3*2\/(-20) + -1 + k and -43\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 163*t - 807. Determine k(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.143 + -11.14315886. What is p rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 9. Let k be t(7). Suppose 5*o + 22 = 3*a, k*a = 3*o - 2 + 28. Let i = 2 + 1. Solve 0 = 2*d + y + i, -a*y = 3*d - d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ade (base 15) to base 14.\nAnswer: -9712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 - -293536484462?\nAnswer: 293536484462.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p, o + 785 - 7307 = p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-2)\/(-4 + 6)). Suppose 0 = m*p - 2*t - 7 - 15, 2*p + 2*t - 2 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-2)\/l*l)))\/(l\/l**1))\/(l**(-16)*l**(-11)*l*l) assuming l is positive.\nAnswer: l**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9397580 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460314*i**2 + 358*i**3 - 2391*i**3 + 460314*i**2.\nAnswer: -2033*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -19, 307, 769, 1367, 2101, 2971?\n\"Answer: 68*l**2 - 14*l - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -265.91\nAnswer: -797.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoohoohhoonn. What is prob of picking 1 h and 3 o?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 1206, 1799, 2386, 2967, 3542?\nAnswer: 4111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396749 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gpgoggopgogpgogpg.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 27. Does 9 divide (-1486)\/o - 37\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 276*v + 1401. Let m be t(-5). Solve m*r = -9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)*l*l**(1\/4)*(l\/(l*l\/(l*l*(l**(5\/6)\/l*l)\/l*l*l)))\/(l**(-2\/39)*l) assuming l is positive.\nAnswer: l**(-357\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 4*l**2 + 2*l**2)*(-1 + 1 - 2*l) - l**3 - 4*l**3 + 6*l**3 + (2*l**2 + 4 - 4)*(19*l - 9*l - 8*l).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*a - 11095 = 337*a. Let q = a + 1586. Let t(g) = -4 + 3 + 0 - 22*g. Calculate t(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-20) + (-9)\/(-6). Find the third derivative of 3*q**i - 14*q**2 + 5*q**4 + q**4 - 10*q**2 wrt q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201033 - -1132?\nAnswer: -133301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7639 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - u**3)*(11*u - 3*u + u).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104287 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s - 5. Suppose -23 = -15*t + 52. Suppose t + 11 = -16*g. Let a be g\/3 + (-14)\/3. What is x(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = -6. Let w(i) = i - 1. Let s(a) = 2*a - 2. Let q(u) = n*s(u) + 8*w(u). Let z(r) = -r**2 + r - 1. What is q(m) - 2*z(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.14, -22 in ascending order.\nAnswer: -22, -0.14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-3)*279\/186\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -133294269 divided by -1?\nAnswer: 133294269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 1104.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820281.\nAnswer: 3, 7, 11, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1132907?\nAnswer: -2\/1132907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - -24355?\nAnswer: 24411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18241042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 9*n + 11*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = -3*o + 66, 6*o + 547 = 5*q + 1257 - 578 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -1\/6*g**4 - 4*g + 0*g**2 + 0 + 0*g**3. Let s(h) = -11*h**2. Give j(s(u)).\nAnswer: -242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = 0. Suppose 0*a - 4*a = p. Suppose a*k = -3*k + 24. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2120004*n + 20. Let w = 17 + -17. Suppose 2*b - 2 = -5*c + 23, w = -b. Let l be k(c). What is l rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4239 or 4241?\nAnswer: 4241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(605)*-4.\nAnswer: -44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 2 + 8 - 211*z)*(14*z + 4*z - 3*z).\nAnswer: -3165*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 10)*(-5)\/(20\/16). Suppose -2*t = 8, 3*a - d - 53 = -4*t. Let z = a + -27. Solve 0*o + z = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1081 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8817 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 4, -18\/5, -0.04, 3, 2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimimimm. What is prob of sequence im?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*s - m - 5, 2*m = 10. Let i = 223 + -85. Let n = 141 - i. Solve 2*z = -n*x + 9, 2*z + s*z = x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2183, -2269, -2323, -2333, -2287?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (68 - (13 - (-8 - -13))) + -8 - 12\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 0.4, -18, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*s - 18\/5*s**2 - 2\/5*s**3 + 18\/5 = 0 for s.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 6*d**2 - 9*d**2 - d**3 - 3*d**2 - 14*d - 8. Let a be p(-13). Solve -4*y - a*t = 14 + 2, -12 = 3*y + 4*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b7 - 5?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/4 - 4\/16. Solve 0 = -4*q - 14 - g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 8*y - 5. Let d be w(7). Suppose -d + 15 = m. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359c (base 14) to base 3\nAnswer: -110211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewwwwwewqeew. Give prob of picking 3 e and 1 q.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 5*h + 4*o - 10, 0 = -2*h - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -695 and 0.4?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 5*p + 35, -5*a - 36*p + 23 = -35*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91011 + -5911. What is a rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122)\/(-2989))\/(1\/(-7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -34, -6, 82?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(171) + -5 - (1 + (sqrt(171) + sqrt(171) + -2)**2 + sqrt(171))).\nAnswer: -689 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.401930616 rounded to 3 decimal places?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 718*z**2 + 752*z + 6. Let m(g) = -2154*g**2 - 2251*g - 16. Let x(r) = -3*m(r) - 8*p(r). What is the second derivative of x(j) wrt j?\nAnswer: 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 1:36 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*f + 4 + 28*f - 123*f + (-21*f + 31*f - 18*f)*(-4 + 0 + 2) in the form n*f + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8531 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (1 + 7)\/((-1)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73370 (base 10) to base 9\nAnswer: -121572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098 take away -31.46?\nAnswer: -2066.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5067.\nAnswer: -5\/5067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 97 = -4*p - d, -2*p + 56 = -2*d. Let h = 25 - p. Solve h = -k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2028*q - 1896*q + 3043*q - 1499*q + 5*q**2 + (-2*q**2 - 2*q + 2*q)*(-3 - 2 + 3).\nAnswer: 9*q**2 - 2380*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -34633?\nAnswer: -34633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 161, 162, 165, 170, 177, 186?\n\"Answer: u**2 - 2*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1650610665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**3 + 35*f**2 - 20*f + 11. What are the prime factors of l(11)?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3)\/(30\/(-12)*-26)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - -3*1*sqrt(170) - (sqrt(170) - (sqrt(170) - (4*(sqrt(170)*-1 + sqrt(170)) + sqrt(170)) - sqrt(170) - sqrt(170))))\/(sqrt(810)*-1*5).\nAnswer: -sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -82. Suppose 25*g - 20*g = -15. Which is the fourth smallest value? (a) -3\/2 (b) u (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 314 - 326. Let j be (0 - y\/15)\/(44\/770). Which is the second smallest value? (a) j (b) 3 (c) -0.4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 48390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17410 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(1584)*1)**2.\nAnswer: 25345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*f + 253 = 533*f. Suppose 40 = -3*g + f*g. Suppose 0 + 3\/5*i**g - 3\/5*i**3 + 6\/5*i = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*x**3 + 27*x**3 - 4*x + 3 + 30*x**3 - 85*x**3 - 7*x**4 + 2*x as b*x**4 + v + a*x**3 + r*x + y*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-4 + 442\/85. Are 1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.827 and -6039.\nAnswer: -6032.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/30)\/((-99)\/297))\/(9\/5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {u: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*c*g**2 - 2*c*g + 3*g**2 - 26*g wrt c.\nAnswer: 16*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)*1 + 1. Suppose i*j - 4*j + 16 = 0. Suppose 3*z + 1 + j = 0. Sort -1, 5, z in ascending order.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355374531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:06 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*b - 167*b + 17*b**3 + (-3*b + 0*b + 4*b)*(3 - 2*b**2 - 3) - b + b - 3*b**3 to the form j*b**3 + k + x*b + u*b**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 83. Suppose 318 = -0*d - u*d. Let h = -101 - d. Solve -h*c - 25 = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**2 - 309*m - 1281. Give n(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*d - 114, -2*d = 6*s - s - 129. Suppose -n + 1 = z - 2, -5*n = 20. Calculate the remainder when s is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, 0*d - 2*d + 5*o + 34800000 = 0. Suppose 3*t + 3*t - d = 0. What is t rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13533115243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w + 20 = 0, -3*v - 3*w + 1668 = 0. Suppose 4*h = 3*j + 556, -4*h - j + 3*j = -v. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 5:02 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27367, 27570, 27789, 28030, 28299, 28602, 28945, 29334?\nAnswer: 29775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i**3 - 4*i**3 - 5*i**3)*(3*i - 5*i + i) to the form j*i**2 + p*i + m*i**3 + k + g*i**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3\/19, 0.5, -3, -2 in descending order.\nAnswer: 0.5, 3\/19, -0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69670 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -535, -1071, -1589, -2077, -2523, -2915, -3241?\n\"Answer: 2*l**3 - 3*l**2 - 541*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-163)\/378812*-249*(-8)\/(-33)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33275 and 1936?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14910*t + 14971*t + 14498*t - 44838*t.\nAnswer: -459*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 82*z - 5. Let m(n) = 18*n - 1. Let u(y) = -9*m(y) + 2*s(y). Let c(p) = 1 - 1 - p. Give 4*c(l) + u(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Let n = 0.09 - 0.09. What is the nearest to 0 in n, w, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4\/5 - 2943*i**3\/5 + 169893*i**2 - 9698925*i - 955867500 = 0. What is i?\nAnswer: -49, 180, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 12 = -2*o. Suppose -7*t = -o*t - 160. Suppose 30*u = t*u - 60. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 76963584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f**2*g**2*n**2 - 110*f**2*g**2*n - f**2*g**2 - 9640*f**2*g*n**2 + 176*f**2*n - n wrt n.\nAnswer: -22*f**2*g**2 - 19280*f**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1733800.9 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 11. Let c(n) = n**2 + 6*n + 4. List the prime factors of c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**3 - 14*k + 366. Let n(f) = 6*f**3 + 12*f - 362. Give 5*b(l) + 6*n(l).\nAnswer: l**3 + 2*l - 342","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 383560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 10. Let v be (14\/4 - k)*-4. Which is the second biggest value? (a) v (b) -1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 + 53. Let m(b) = b**3 + 10*b**2 - 7*b - 19. Let n be m(-10). Let t = v + n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 3, w: 2, c: 5, m: 1}. What is prob of sequence umc?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2. Let r be 3 + 1*10\/(-5). Let t be y(r). Suppose 0 = -3*x + 4*b - b + 27, t*b + 29 = x. Solve 15 = -x*v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460514457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 613 + 2*r**2 - 10426.\nAnswer: 2*r**2 - 11039","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 7918?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**10\/m)\/m)\/(m**(2\/23)\/m))\/((m\/(m**(-11)*m)*m*m)\/(m**(-10)*m)))**(3\/4))**(1\/16) assuming m is positive.\nAnswer: m**(-903\/1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let b be t(15). Let l = 26 + b. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0*h + 0*h + (12 - 19 - 3)*(4*h - 3*h + h + (11 - 3 - 2)*(-2 + 2 + 3*h)).\nAnswer: -202*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + i - 30, 4*v + 4 = 5*i + 1. Sort -4, v, -5, 5 in increasing order.\nAnswer: v, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214\/(-1284)*3\/7*7\/(-8).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2070 = -24*j - 8260 + 92770. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0076+2\nAnswer: 2.0076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*f + 4*f - 54 = 0, -4*b + 3*f + 72 = 0. What is the remainder when 32 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 1\/150*c**6 + 0 + 8\/5*c**2 + 1\/2*c**3 - 17\/60*c**4 + 23*c - 3\/20*c**5. Factor g(o).\nAnswer: (o - 16)*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 1\/121, -0.11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-9)\/21*1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29568 greater than 29568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 2*b, -2*b - 3*a + 6 = -a. Let f be (-104)\/(-5) + (-1)\/(-5). Suppose -4*w - f = -1. Sort w, b, 3 in increasing order.\nAnswer: w, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 373d6?\nAnswer: 37410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 2*b - 4. Let v be 6\/((-1)\/(-3 + 6 + -8)). Let w = -27 + v. Determine i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -35*r**2 - 1642*r + 136. What is z(-47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxpp when four letters picked without replacement from {x: 4, p: 2, n: 1, f: 2, s: 4, k: 1}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2268))\/(sqrt(4) + sqrt(16)*-3) + (3*(sqrt(7) - (sqrt(7) + sqrt(7) + -1)**2) - sqrt(7)) + (sqrt(49)\/sqrt(343) - sqrt(7)).\nAnswer: -87 + 397*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39316776 and 28992.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 - t + 3. Let p be f(7). Let u = 8 - p. Let d(i) = -i**2 + 13*i + 5. Is d(u) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 13*s**2 + s + 6. Suppose -5 = -5*f + 10. Suppose -f*w - 2*w + 25 = 0. Calculate the remainder when d(13) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53852351.\nAnswer: 7, 107, 71899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8899 + 9165*m + 8899 as q*m + u and give q.\nAnswer: 9165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.4 and -583.52?\nAnswer: -3734.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 75?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/2 - 5*t**3\/3 + 4*t**2 + 21*t. Let y be h(5). Let l = 203 - y. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-15 - (-11 + (-2 - -4) + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 76*y**3 + 494*y**2 + 764*y + 345.\nAnswer: (y + 1)**2*(y + 5)*(y + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + c + 3 = 0, y + 2*c - 1 = -7. Suppose y = -k + 4*a + 1121, 3*a + 2242 = 7*k - 5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3 - 1 + 4 + 2*t. Suppose 3*m = -3*w + 9, 6*m = 5*w + 2*m - 24. What is the units digit of k(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 534\/5 - 108. Is z less than or equal to -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**8\/336 - v**5\/60 + v**2\/2 - 1. Let y(h) be the second derivative of z(h). Find the third derivative of y(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/8)\/(9\/(-12)). Suppose -3*k = -a*k. Which is greater: k or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.3. Let u = 3 + -2.96. Let h = -1.96 - u. Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15497 + 15553. What is the highest common divisor of 5446 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 26 = 6*i - 349. What is the remainder when i is divided by 26\/2 + (2 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnnw when four letters picked without replacement from wwnnw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 204 = 100. Let p be (2 - a\/34)*1\/(-2). Are -2 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211.555 rounded to 0 decimal places?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4858 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 7 = -4*j. Find the common denominator of ((-1)\/j)\/((-99)\/(-572)) and (-6)\/33 - (-4002)\/(-132).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 3.01\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(32*b**2 - 64*b**2 + 82*b**2)*(2 + 0 + 0)*(-3*b**3 - b**3 - b**3).\nAnswer: 500*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9699912 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*v + 2044384*n*v - 1808114*v wrt n.\nAnswer: 6*n**2*v + 2044384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4012028004.\nAnswer: 2, 3, 334335667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/7, 1, 9, 3, 5, 8.99, -2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620\/10 + (-27 + 8 - -11)*2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n. Let t = -11 + 15. Suppose -20 = 5*g, 2*m + 2*g = -g - t. Let c(i) = -2*i + 4 - m. Give j(c(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -383445\/34 - -11278. Find the common denominator of j and 43\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2007 and 1645963.\nAnswer: 14813667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5053126 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210787337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122\/3 + 611\/15. Which is the third biggest value? (a) -4 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 98. Let h(j) = -j**3 - 17*j**2 - 33*j - 21. Calculate the least common multiple of (2 + 8)\/(6\/4)*6 and h(z).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5923 + -6d?\nAnswer: -5991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20585, -20583, -20581, -20579, -20577?\nAnswer: -20575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - -34)\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*p - 7663*p**2 - 39*p + 7661*p**2 - 770*p**3 + 6 - 46*p in the form y*p**3 + n*p**2 + o + a*p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -a. Let d(p) = -p - 3. Let y be d(-2). Put a, y, 5 in ascending order.\nAnswer: y, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 4*p - 11, -4*m = -2*p + 4. Let i(h) = 4 - 2 - 1 + 15*h**3. Let z be i(m). Solve -3*j - 1 = -z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38038 = -11*r - 4838 + 9689. List the prime factors of r.\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1389 - 787. What is the remainder when k is divided by (-4)\/(-28) + 4992\/91?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (-2*sqrt(242))**2*-6)*1*-4 - (3*(3*(sqrt(128) - 1*sqrt(128)) + sqrt(128) + -4 + -1*sqrt(128)))**2.\nAnswer: -23376 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 3.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1408 - -1700. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 7*u + 7*u**2 + 9*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 2. Let y be s(2). Suppose y = -4*u + 16 + 8. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(3 - 3 - x)*(-2*x + 0*x + x)*(x - 27*x + x) in the form b*x**2 + y*x**3 + i + k*x and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 divided by -2.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 129713.7 and -88090461.\nAnswer: -87960747.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -240, -364, -492, -624, -760?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22010\/1207 - 18)\/(1\/(-102)*-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -440613, -880772, -1320931, -1761090, -2201249, -2641408?\n\"Answer: -440159*m - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -9*b + 1017. Suppose 4*p + z - b = 0, -4*p + 8*p - 114 = -2*z. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -3\/173, 32, 0.041?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6 + 38*z - 77*z + 40*z. Let o(q) = 4*q - 17. What is -11*f(c) + 4*o(c)?\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 3\/5, -17030, 0.04?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 1487*w**2 + 3*w - 1482*w**2 - 4*w as q*w**2 + p + l*w and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/24 - v**5\/12 - 5*v**4\/24 + 2*v**3\/3 + 15*v**2 + 6. Let t(d) = d**2 + d - 1. Give -5*t(o) - w(o).\nAnswer: -5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*d**2*l - 3*d*l**3 - 9*d*l**2 + 3*l**3 - 50862*l**2 - l - 2 with respect to d.\nAnswer: -158*d*l - 3*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -8*t + 10*t, 4*t = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 4, t: 1, a: 1, b: 1}. What is prob of sequence bqa?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/6 and -31\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -990 and -988 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 88dcc - 281?\nAnswer: 88b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.041. Let k = v + 0.03658. Round k to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 2. Let d(w) = w - 15. Let h(j) = j**3 - 10*j**2 + 2*j - 13. Let x be h(10). Let k be d(x). Is 8 a factor of n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1767041756267 and -1.2.\nAnswer: -1767041756268.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -884*t + 889*t - 435940, -3*g = 4*t - 348763. What is the ten thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 7. Calculate the remainder when 0 - (-64 - 3)*1 is divided by z(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532950 divided by 30\nAnswer: -17765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -4816, -10645, -18718, -29005, -41476, -56101?\nAnswer: -72850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101\/182 + 7\/26. Calculate the common denominator of q and 3\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(720) + sqrt(5) - (sqrt(5) - (sqrt(320) + -4 + sqrt(5))**2).\nAnswer: -96*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 - -22435?\nAnswer: 22354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - 1. Let q(l) = 4*l**2 - 31. Suppose -3*x + 2*o = -3, -5*x = -3*o - o - 5. Let y(d) = x*q(d) - 3*m(d). Differentiate y(f) wrt f.\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 - 2*y - 13. Let t be n(-9). Which is the second smallest value? (a) t (b) -0.5 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*x + 1. Suppose 5*c = -5*j + 5, 0 = -c - 2*c - 3. Suppose -z + 0*d + x = 5*d, 4*z - j*d - 10 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17456540 times -4?\nAnswer: 69826160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/20 + 5*m**4\/8 + m**2. Suppose 0 = s - 10 + 10. Suppose -5*i = -s + 5. Let z(u) = u. What is i*q(v) + 15*z(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 4*l + 2. Let q be n(-2). Suppose -d - 4 = -3, -m = d + q. Let g(i) = -15*i - 3. Does 28 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 197*b**2 - 8*b - 121. What is the thousands digit of l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 226*v**2 + 221*v - 205. Determine q(-112).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -84*y + 103*y - 1 - 2. Let l be z(1). Let p = l + -13. Solve 0 + 3 = -p*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, 41\/3, 1, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 8*w - 4. Let i be g(9). Let o = -24 - -42. Let j = o + i. Solve -2*v + j*b = 16, -v = -3*v - 2*b + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.378942605 to four dps.\nAnswer: 0.3789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234585850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/5 + 1*-2. Let l(h) = h**3 + 9*h**2 - 10*h + 5. Let g be l(z). Suppose -f = -2*u + 27, 0 = 2*f - f - g. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from tpyt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134520913 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2\/8 + ((-9375)\/140)\/(-15))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1674 + -1679. Let d be (-1)\/36 - 4\/18. Which is the closest to d? (a) -4\/9 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1381, 5115, 11221, 19705, 30573, 43831, 59485?\n\"Answer: y**3 + 1180*y**2 + 187*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 8*m - 7. Suppose 17 = -4*v - 5*b - 27, 16 = -2*v - b. Let h be i(v). Suppose -h*o + 7 = w - 16, -2*w + 18 = 3*o. Solve w*y + 0 - 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 63*j + 4*j**4 + 64*j - j**2 - 1 + 12*j**4 + 26*j**4 in the form k*j**3 + i*j**2 + z + f*j**4 + r*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -59*d**2. Let i(g) = 6*g**2 + 8*g - 4. Let q = 155 + -150. Let u(j) = 8*j**2 + 10*j - 5. Let r(m) = q*i(m) - 4*u(m). What is n(r(f))?\nAnswer: -236*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10142555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 + -0.7. Let o = u + 0.8. Let m = -76\/187 + 10\/17. Which is the biggest value? (a) 0.5 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 10*c + 20. Let f be q(-5). Let y = -28 + f. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -48. Calculate the remainder when 51 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:25 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -528600 rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 1840?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11137.77 to the nearest ten.\nAnswer: 11140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 175, -101, -663, -1613, -3053?\nAnswer: -5085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 57 (c) -3.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1483)\/(-31143))\/((-1)\/(-3)*(-46)\/(-23)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a + t - 78, 3*a = -t + 119. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 5*a)*(-3*a + 3*a - a)*(-2 + 2 + 3)*(-2 + 12 - 4)*(-3*a**2 + 3*a - 3*a).\nAnswer: -162*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126488 and 75632?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -4 - 34*-1. Let o = f - 3. Find the second derivative of -3 - 13*t**5 + 21*t + 3 - o*t wrt t.\nAnswer: -260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870374802 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/35712 and -121\/103176?\nAnswer: 51175296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86\/305 + -5\/61. Sort h, -0.2, -1\/9, 4.\nAnswer: -0.2, -1\/9, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*o - 30*o - 4, 4*z - 56 = 5*o for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 - 22*p + 122. Let c be b(11). Let y(h) = -30*h + 66*h - 28*h + 2 - c. What is y(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 3, q: 2, i: 2}. Give prob of picking 2 q and 2 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/6 + j**3\/6 + 186*j**2. Let v(k) = -3*k - 5. Let u(c) = -c - 2. Let b(w) = 5*u(w) - 2*v(w). Give -6*b(m) + 2*d(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -18472*j**3 - 3*j + 3*j**2 + 18475*j**3 + 4*j - 5. Let z(l) = 3*l**3 + 2*l**2 - 4. Calculate 2*q(k) - 3*z(k).\nAnswer: -3*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s**2 + 9*s + 9. Let g(h) = 7*h**2 + 4*h + 4. What is 9*g(z) - 4*x(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5789 greater than or equal to -5784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-13)\/(-8 - -21) + (-1420)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012210022 - -12021022?\nAnswer: 2102001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9532297 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51924 is divided by 611?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6765 divided by 56.\nAnswer: 6765\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 50 + 54 + t + t**2)*(t + 2*t - t).\nAnswer: 2*t**3 + 2*t**2 + 210*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/(2\/1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70992 and 289000.\nAnswer: 150858000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**3\/3 + p**2 + 1477*p - 24. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924 divided by -66.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 7*h + 10. Let k be q(4). Let i = -6 - -6.3. Let w = -1.3 + i. Which is the closest to w? (a) 0.1 (b) 1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26900591, -26900632, -26900687, -26900762, -26900863, -26900996, -26901167, -26901382?\nAnswer: -26901647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/c**(8\/5) assuming c is positive.\nAnswer: c**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 606*w**2 + 449*w - 1 - 1345*w + 447*w + 453*w to the form m*w**2 + o*w + y and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(567) + 2 + 1 - sqrt(567))**2 - sqrt(567)*-2*-2).\nAnswer: -36*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**3 + j**2 - j + 1272. What is the hundreds digit of n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v + 9. Let c be z(2). Suppose -5*t - 21*j + 5927 = -c*j, -2*t + 2*j = -2378. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 166.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/280 and 89\/3484824.\nAnswer: 17424120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z**3 - 21*z**2 - z. Let v(w) = 3*w**3 + 5*w**2. Let j be (-18)\/(-8) - (-1 - (-25)\/20). Give j*r(h) + 9*v(h).\nAnswer: h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -53, -119, -203, -299?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 141*s - 13. Let y(x) = 35*x - 9. Let t(j) = -70*j + 16. Let r(z) = 3*t(z) + 5*y(z). Let d(p) = 2*c(p) + 9*r(p). Let m(i) = -2*i**2. Give m(d(w)).\nAnswer: -2178*w**2 + 132*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005227362921 rounded to seven dps?\nAnswer: 0.0000523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -21. Suppose v*m - 17 = -7. Suppose -15 = -3*o, 2*x + m*o - 454010 = -0*o. Round x to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292 and 1558?\nAnswer: 227468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 2. Let g be a(-2). Let j(c) = -c**2 - 2. Let i(h) = -3*h**2 - 4. Let k(p) = -2*i(p) + 5*j(p). What is k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a1c45 (base 13) in base 4?\nAnswer: 1012301210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**7\/280 - 7*s**5\/120 + s**3 + 3*s. Let l(v) be the second derivative of n(v). Find the second derivative of l(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*a = 162*a + 36 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, y: 5, t: 4}. What is prob of sequence yyty?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 - 2*h**3 - 3*h**2 + 142*h. Suppose 2*f - 5*g = -10, 131*f - 2*g = 133*f + 10. Calculate q(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -287862\nAnswer: 6908688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 46 (b) 3 (c) -4 (d) -59 (e) 0.04 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1383*m**4*y + 1345*y wrt m.\nAnswer: -5532*m**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340 - 15*h**2 - 8*h**2 + 3*h**2.\nAnswer: -20*h**2 - 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 51798265?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404459.\nAnswer: 11, 83, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -8*(-34)\/(-4). Suppose -2*j - 4*h + 30 = -2*h, -4*j + 3*h = -l. Suppose 0*o + 12 = -3*z + 3*o, 4*o = -3*z + j. Is z <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 j when three letters picked without replacement from {z: 9, n: 1, w: 2, e: 3, b: 2, j: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144090.\nAnswer: 2, 3, 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 4*t. Let i(n) be the second derivative of n**3\/6 - 3*n**2 + 16*n + 2. Give i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047441131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(-12)\/d))\/d*d*d)\/d)**(-1\/35))**(1\/6) assuming d is positive.\nAnswer: d**(-13\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807589?\nAnswer: 443, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5478.457ml to litres.\nAnswer: 5.478457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 + -106. Which is the closest to q? (a) 1\/2 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*p - 7 = 0, -2*n + 0*p = 2*p - 2. Let y(x) = 2*x**2 - 9*x - 2. Let v be y(n). Suppose 5*q = 3*q + 6. Do q and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (2*(-3)\/84 + 94\/1316).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/284 and 133\/1704.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (91\/14)\/((-2)\/12). Let y = b - -57. What is the smallest common multiple of y and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -334*t + 72500 - 63148 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 57.\nAnswer: 164\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2908310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 20*p**2 + 27*p - 29. Let a(i) = -9*i**2 - 13*i + 14. Let k(j) = 7*a(j) + 3*d(j). Let c be k(-4). Solve -2*o - 2*l = -10, -o + 8 = -c*l + 23 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8229650?\nAnswer: 2, 5, 11, 13, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396576119 to the nearest integer?\nAnswer: 48955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 12774.\nAnswer: 804762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*z**2\/7 - 2794611*z\/7 - 2794515\/7.\nAnswer: -3*(z + 1)*(32*z + 931505)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29389467400 to the nearest 1000000.\nAnswer: 29389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 466992*l - 44812800 = 0. What is l?\nAnswer: -233400, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-25)\/(o**(-2\/3)\/(o*o**(1\/2)*o)))**31 assuming o is positive.\nAnswer: o**(589\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45014 (base 6) in base 10?\nAnswer: -6274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 1.457393043163.\nAnswer: -0.542606956837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 92.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3828641 to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) 2 (c) 0.1095 (d) 3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 9*d**2 + 38*d - 11. Give h(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/14*-1*-2 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.16 + 248.84. Let x = 252.999971 - g. What is x rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*s = -420*s + 109434. Let n = -90 + 229. Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/5 + 6*b**4\/5 - 32*b**3\/5 - 8*b**2 + 192*b\/5 - 128\/5 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -9611.\nAnswer: 6\/9611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 120\/66 - 16\/(-88). Solve 3*b + 3*d = -24, h*b - d + 6 - 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -23. Let i(g) = -3*g + 6. Let m(u) be the third derivative of -u**3\/6 + 9*u**2. Give c*i(q) - 5*m(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, q: 1, e: 5, w: 1, v: 1}. Give prob of sequence gvq.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/101515 or -1?\nAnswer: -6\/101515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6727*v + 1015767. Give r(-151).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32909 - -63952. What are the prime factors of v?\nAnswer: 37, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4\/8 + 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 + 44. Let q = -107\/3 - d. Let g = -2.41 - -1.91. Which is the nearest to -2\/3? (a) g (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v. Let a(j) = -j**2 - 5*j + 5. Let f = -12 - -17. Let y(l) = 0*l**2 + f - l**2 - 3*l - 2. Let r(p) = 3*a(p) - 5*y(p). What is r(c(u))?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10835*r + 4*r**2 + 3 + 10835*r.\nAnswer: 4*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 + 234 = -24*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-6 - (3 + -17)) + -3 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121406?\nAnswer: 2, 60703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-6))\/((-6)\/9). Calculate the greatest common divisor of b and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335 * -0.2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69, 144, 209, 258, 285?\n\"Answer: -y**3 + y**2 + 79*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/8)*s)\/(s**(2\/3)*s*s))\/((s*s**6*s)\/(s\/(s**4*s))) assuming s is positive.\nAnswer: s**(-319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 19. Give h(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 - 5*f)*(0 - 4 - 6 + (3 + 0 - 2)*(4 - 4 + 2)) as d*f + j and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 11. Suppose 4*q + 4*c = 148, -4*q - 155 = -9*q + 5*c. Suppose 0 = 4*o - 10 + q. List the prime factors of m(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 4. Let f be p(5). Suppose 5*g + 2 = a - 0, 5*g - 2*a = f. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -175, -19, -1 in ascending order.\nAnswer: -175, -19, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14586\/1326 - 3*(-10)\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1198 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -6. Let d be r\/9 + 100\/6. Calculate the greatest common factor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3455 - -1?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -15) + (-25 - 104) + 22.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 100 = -l - 3*n, -l + n + 105 = 0. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgi when three letters picked without replacement from {i: 1, g: 4, x: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.19097 millimeters to micrometers.\nAnswer: 37190.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (4 + (0 + sqrt(108) - (3*sqrt(27) - sqrt(3))) + 5)**2).\nAnswer: -72*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 2.30271656911.\nAnswer: 2.50271656911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((3131\/(-31))\/101).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 times 1064409\nAnswer: 48962.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i**4 - 3*i + 4*i - 1 - i**4. Let r(v) = -v**4 + 4*v. Let b(y) = r(y) - 4*u(y). What is the derivative of b(o) wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.146 and -32.\nAnswer: -4.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -34. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8388.248 years to months.\nAnswer: 100658.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(4\/7)\/t*t*(t\/(t\/(t*t\/(t*(t**(-1\/28)\/t*t)\/t))))\/t)\/(t*t*(t*t\/(t*t*t**(-18)))\/t*t*t**(-2\/31)) assuming t is positive.\nAnswer: t**(-14173\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 194 in -2629, -27, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -44*t + 1. What is b(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v - 1. Let g(t) = 37*t**3 - 6*t - 6. Calculate -5*g(d) + 30*j(d).\nAnswer: -155*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 16, 14, 14?\n\"Answer: i**2 - 7*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 824606221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 4924178.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*k - 174 + 20*k - 1170 + 17*k + 16*k to g + b*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/120 + 2*l**5\/15 + l**4\/3 - l**3\/2 - 2*l**2. Calculate the remainder when 61 is divided by n(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -25*o**3 + 2*o**2 - 14*o - 42. Is f(-3) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28799 + -28746.46. Sort 3, z, 5.\nAnswer: 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let a be i - (93\/30 - 2). Let h = -474 + 473.7. What is the biggest value in 5, a, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, -1563, -3389, -5155, -6855?\nAnswer: -8483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2921 - 4.7079. Which is the second smallest value? (a) -140 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1206612*-4\nAnswer: -4826448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-4) + 1\/4. Let y(i) = -i**3 + 12*i**2 + 14*i - 4. Let x be y(13). Let u = x - v. Solve -2*s - 3*g - 3 = 3, u*s - 28 = 4*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21630 and 3.\nAnswer: 21630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let p(u) = 3*u**2 + 5*u + 3. Let a be p(-6). Suppose a = 4*c + 5*n, 3*c - 2*n + 3*n - 58 = 0. Let j(q) = -c*q + 7*q - 1 + 1. What is f(j(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 1988\/70)*-30\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12960\/(-105840)*7\/(-30)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130055330 (base 6) to base 12.\nAnswer: 427a546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 192885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1015420, 1015682, 1015944, 1016206, 1016468, 1016730?\n\"Answer: 262*m + 1015158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let t(q) = -5*q - 6. Let x = -3 + 6. Suppose f - x*f = 12. Let r(p) = f*u(p) - t(p). Let m(h) = 2*h. Calculate m(r(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 11*j + 9*j = -36, -o - 4*j + 30 = 0. Solve 3*d = -d - 2*w - o, 0 = -w - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 317534 and 2590.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.41 + 66.41. Let o = -95 + z. Let x = 28.991 + o. Round x to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by -20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 21. Suppose f - b = -4*f. What is the second derivative of 5*t + 7*t**f - 3*t**5 + 3*t - 3*t wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 10 + 5 + 6 - 855*x as p + d*x and give d.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**3 + 9*n**3 + 30*n**3)*(-16*n + 10 - 10) in the form l*n + u*n**4 + v*n**3 + q + o*n**2 and give u.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23221 (base 6) to base 2\nAnswer: 110011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a - 188. Let b be r(14). Suppose 26*x - 27*x + b = 0. Let m(t) = -t**2 - 8*t + 6. What is the remainder when m(-7) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 16*o - 30.\nAnswer: -2*(o - 5)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -101111?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17)\/t**4)**(-19)*(((t\/(t*t\/(t\/(t**(-2\/15)*t)*t)))\/t*t)\/(((t*t**(-1\/6))\/t)\/t))**(-7) assuming t is positive.\nAnswer: t**(10993\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -284 - 378307?\nAnswer: -378591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 493283 or 493275?\nAnswer: 493275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1282*t**3 - 6*t + 3?\nAnswer: 7692*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s - 13*s = 20*s - 19 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4 and (-6*(-3)\/24)\/((-6)\/(-73)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1914 and 0.3.\nAnswer: -1913.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 8.7. Let f = 0.5 + 0.4. Let i = -0.5 + f. Sort i, 1, k.\nAnswer: k, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3750537, -3750540, -3750547, -3750558, -3750573?\n\"Answer: -2*c**2 + 3*c - 3750538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 y when three letters picked without replacement from yvlrjzz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/551 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 74, 126, 218, 362, 570?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -565149 divided by -4?\nAnswer: 565149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65410891 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = -k + 3*k, -56 = -4*k + 2*l. Let g be 2\/4 + 30\/k. Let j be 1\/(g\/((-3)\/(-1))). Is 1 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41879904*t**3 - 6*t**2 - 136*t - 9979 wrt t?\nAnswer: -251279424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*p)*(0 + 1 + 1) + (-p + p - p)*(-3 - 2 + 3).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 19*x**2 + 36*x + 1. Let v be h(17). What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1186824817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 50, 145, 2, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(3 + -5)*(-8)\/(-32)*316. Calculate the highest common divisor of t and 2686.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2755 (base 8) to base 11.\nAnswer: 115a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -77*d + 4990. What is t(65)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpuppul. Give prob of picking 1 r and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(288) + sqrt(288)*-3 + sqrt(288) + sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288)))\/(sqrt(8)*-1*-4*-3).\nAnswer: -sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9130507 to the power of 1\/2, to the nearest integer?\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.054069 in 0, -2\/11, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72 and -14.4.\nAnswer: 1036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 26 = p + 3*p, 0 = 3*l + 2*p - 16. Suppose 2*y - 10 = 2*t + t, -l*y - 4 = 4*t. Which is the closest to y? (a) 1 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/72 and -87\/274?\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-15))\/((-3)\/10). Suppose -12 = -4*r + v, -u - 2*r = -14. Suppose a - 4*a = 3*z, u = -z + 2*a. Is z equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1361*2.2.\nAnswer: 0.29942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24300 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.959925ml?\nAnswer: 0.002959925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 7. Let c be o(3). Let u(z) = z**2 - 4*z - 4. What is u(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 706 + -142. Suppose -65*r + 63*r - 12 = 0. What is the units digit of 1 - (1 + a\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 17. Let s = -23 - -32. Calculate the remainder when f is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Let s = 12 + -12. Let n(w) = w**3 - w**2 + 2. Let c be n(s). Solve v = c*v - p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, 1 t, and 1 i when four letters picked without replacement from dqtjqdtttjdtxiidt.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p. Let g(s) = -11*s - 1. Give 3*g(u) + 5*t(u).\nAnswer: -3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*(sqrt(1584) - (-6*sqrt(1584) + -5)))**2 + -4*(4 + sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(11)*-4 + sqrt(11))))**2*2).\nAnswer: 2736*sqrt(11) + 446070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 11 = -19. Calculate the common denominator of -73\/18 and 229\/120 + 2 - (-1)\/f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22*z**3 + 2*z**2 - 4*z - 4. Let g be r(2). Let y = 769 + g. What are the prime factors of y?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m. Let z(l) = 3*l. Let u = 123 - 120. Calculate u*q(h) + z(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + -0.2. Let s = 1.9 + n. Sort 2\/13, 3\/5, s in decreasing order.\nAnswer: 3\/5, s, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 + 52*c**4 + 136*c**3 - 248*c**2 - 140*c + 196 = 0 for c.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 117*y**5\/5 - y**2\/2 - 34*y + 72. Find the second derivative of w(m) wrt m.\nAnswer: 1404*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6*v + 6. What is k(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.05 + 19.2. Let x = j - 77. Let a = -0.25 + x. What is the closest to a in 0.6, 4\/7, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0859 rounded to 3 dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 270418594871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.8, -3\/8, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**23\/p*p*p**(-6))\/(p**(-11))**(2\/59) assuming p is positive.\nAnswer: p**(1084\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -7514 (c) 0.2 (d) -2\/5 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 58. Suppose 24 = -2*i - 2*m, 3*i - 4*m = -i - u. Let g = i + 52. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160381982 to the nearest integer?\nAnswer: 12664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-20))\/(162 - (-281358)\/(-1740))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c - 6 = 52*c. Let s(p) = -p**3 + 14*p + 10. Is s(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -271. Suppose -h + 5*x - 7 = -2*h, q*h + 3*x - 113 = 0. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 558012?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179952 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4031579, 4031583, 4031589, 4031597, 4031607, 4031619?\nAnswer: 4031633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i**(2\/17)\/i)\/i*i**6\/i)**16\/(((i\/(i**(-1)*i))\/i)**23\/((i*((i\/(i**(-2\/11)\/i)*i)\/i*i)\/i*i)\/i**1)) assuming i is positive.\nAnswer: i**(15907\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -84*g**2 - 32*g + 32. Let k(h) = 4*h**2 + 124*h - 112*h + 5 - 3*h**2. Let l be k(-12). Let o(d) = -13*d**2 - 5*d + 5. Give l*i(q) - 32*o(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 22*d**2 - 22*d + 23. Suppose -2*k - 4*f = -38, 2*k + 13 - 57 = 2*f. Let h be q(k). Let x(l) = 2 - 2*l + h + 2 + 4. Calculate x(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -72727, 3, 4?\nAnswer: -72727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 9*c**2 - 8*c + 1. Let i be k(-8). Let n be (-5)\/(-2)*24\/20. Solve -5*x - 5*l - 25 = 0, 4*l + 18 = -n*x - i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 3*l + 4. Let x be h(5). Suppose -44 + 24 = k - 16. Calculate the remainder when 59 is divided by ((-3)\/(x\/k))\/(52\/(-182)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m - 86*m - 186342 = 0. Let s be (1\/(-2))\/(2\/40912). Let t = m - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443089 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**2 - 3*n. Let x(h) = -3*h**2 - h. Let s(a) = -2*f(a) + 7*x(a). Let q(c) = -6*c**2 - 2*c. Calculate q(j) - 4*s(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2*l**2 + 38*d**2*l - 2*d**2 - 24409*d - 100*l**3 wrt l?\nAnswer: 6*d**2*l + 38*d**2 - 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**4\/2 - 34*v**3\/3 + 7*v**2 + 10*v - 3259. Determine x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.067 - -103.067. What is the nearest to -2 in t, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:40 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33 + 52\/165?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let a(o) = -9271285*o**2. Determine p(a(n)).\nAnswer: -85956725551225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. Find the third derivative of -t**4 - 4*t**2 - 2*t**2 + 0*t**2 + 4*t**c wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*(-9)\/315)\/((-18)\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - 3) - (12 - 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24\/23 (b) -3\/8 (c) -16 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -5*v**5 + v**3 + 240*v - 28. Find the first derivative of w(b) wrt b.\nAnswer: -100*b**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44744003+844\nAnswer: -44743159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -2*y - 281. Is y at most as big as -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -19, 18, -4, 8, -2 in increasing order.\nAnswer: -28, -19, -4, -2, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44891151 is divided by 6152.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 419.32 + -425. Let x = t + -7.48. Round x to one dp.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46.9*-1\nAnswer: -46.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Let q be ((-4)\/(-200))\/(l\/474105). Let y = -1894 + q. What is the common denominator of y and -41\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213120130 + -1312?\nAnswer: -1213122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1134 * -1.78905\nAnswer: 2028.7827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -14. Let y = -10.9 + k. Let u = -0.1 - -0.1. Which is the nearest to u? (a) y (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v**4\/3 + 120974*v**3\/3 + 31620260*v**2\/3 + 4861792*v\/3 = 0. Calculate v.\nAnswer: -248, -2\/13, 0, 4901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 49322351.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 42*m**2 - 4*m - 115. Let w(g) = 6*g**2 + g - 1. Let z be w(1). Let x(v) = 2*v + 6. Calculate the remainder when y(-42) is divided by x(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 50, 7, 31\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x + 1. Let w be o(-3). Let p(n) = -n**3 - 6*n**2 + 4*n + 13. Let a be p(-6). Let i = a + w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1799 or 1794?\nAnswer: 1794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*p + 12 = -4*n, 0 = -p + 4*n + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.98 - -1. Let t = p + -3.02. Which is the closest to 1? (a) t (b) -3\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -124*g**3 - 52*g**3 - 48*g**3 - g**3 - 3 + 3 + (3 + 2 - 3)*(-5*g**3 + 4*g**3 + 3*g**3) + (3*g - 3*g - g**2)*(3*g - g - g).\nAnswer: -222*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 + 151.84. What is the nearest to 0 in 0.1, r, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.464? (a) 4 (b) 13\/2 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 + 32*x**2 - 7*x**2 - 9*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -0.05, 8\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(343) + (sqrt(343) - (sqrt(343) + 3)) + sqrt(343) + 2 + 6*sqrt(3087))**2.\nAnswer: -280*sqrt(7) + 137201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139740*x**4 - 107951*x**2?\nAnswer: 3353760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/392 + -815\/12152. Sort x, 0.2, -1\/7.\nAnswer: -1\/7, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -191*a**6\/6 + 95*a**3 + 288. What is the third derivative of d(z) wrt z?\nAnswer: -11460*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 447 and -32.\nAnswer: -14304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10 - 4*x - 4 - 6. Calculate n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z + z + 0 + 1. Let r be ((-9)\/(-6))\/(3\/2). Let g = 0 + r. Give i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12672 and 3939232.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14\/943?\nAnswer: 14\/943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 27. Suppose 39*w + 28 = 35*w. Give z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5851563.\nAnswer: 3, 19, 251, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 1817*a**3 + 11 - 1804*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9))**(5\/3)*w**(-14)\/w*w\/w**(-16) assuming w is positive.\nAnswer: w**(44\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.5 - -7. Let y = 139\/5 - 28. Let n(l) = -l - 1. Let g be n(-5). What is the nearest to 0 in y, c, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46180, 46185, 46190?\nAnswer: 46195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 162\/4 + 11\/(-22). Let d = l - 20. Is 9 a factor of (-6)\/(-7)*(d - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -53*a - 75. Is j(-15) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12 - 23*d**3 - 5 + 7*d**2 + 21*d**3 + 4*d**2 wrt d?\nAnswer: -6*d**2 + 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -w + 10 + 30, 5*w - 199 = -4*i. Suppose 40*y + 4 = w*y. Let g(p) = -2*p**2 - 6*p. Calculate g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 224*y*z + 10*y + 8408*z wrt y?\nAnswer: 224*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132.8*-0.6.\nAnswer: -79.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/40*-8)\/((-1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 4*r**3 + r**3 + (-3 + 3 - 2)*(-419*r**3 - 262*r**3 + 57*r**3) as v*r**2 + d*r**3 + g*r + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 14 (c) 20 (d) 2\/21 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 0 + (-4)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21.1. What is the nearest to 0.05 in i, -2\/11, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190)*4 - sqrt(190))\/(sqrt(20)\/(sqrt(2) + sqrt(18) - sqrt(2))))**2.\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/((sqrt(165)\/sqrt(5))\/sqrt(11)))\/(6*sqrt(392)*-1).\nAnswer: -sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(1100) + 0 - ((sqrt(1100)*-2 - sqrt(1100)) + 3)) + 3 + (sqrt(1100) - (sqrt(1100) + -3))*-5 + 3)**2.\nAnswer: -4800*sqrt(11) + 110576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) - (sqrt(3564)*2 - sqrt(3564)))\/sqrt(4) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -284 (b) -32 (c) -1734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let g = -13 + 12. Let a(t) = 3*t + 3. Give g*a(f) + 5*h(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -494? (a) 0.4 (b) -5 (c) -1\/12 (d) -2\/13 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let v(q) = 42*q. Calculate 18*l(f) - v(f).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -130, -316, -584, -934?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 38. Suppose -4*q = 4*i - u, 4*q + q + 7 = i. Suppose -11*z + i + 26 = 0. Calculate the smallest common multiple of z and 19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*n*r**2 + 4202*n*r + 7*n + 328*r**2 + 17035589 wrt r?\nAnswer: 68*n*r + 4202*n + 656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6219000 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + 0 - (-52 - -48) - 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-10 + 75\/12)*16\/(-6) and 62?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/2 - 546*k**2 - 75339*k\/2 - 630531 = 0.\nAnswer: -33, 1158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.6 and -11458 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20650386077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((0 + (sqrt(1872)*2 - sqrt(1872)) + -1)*3 - (sqrt(1872) - (-2*sqrt(1872) + 0) - 4*sqrt(1872)*3)))**2.\nAnswer: -3456*sqrt(13) + 1078308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074 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 p be 6*(-8)\/28*49\/28. Let u(q) = -q**3 - 3*q**2 - 4*q - 6. Calculate u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/385459739 or 1?\nAnswer: -4\/385459739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7848 is divided by 7829.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*1)\/(6\/(-8)). Let g(s) = -3*s + 7. Calculate the remainder when g(t) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/5)*v*v**(1\/4)*v*v*v**(-9)\/(v*v**9*v))**35 assuming v is positive.\nAnswer: v**(-2233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12458616 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 + g + 3. Let a be q(0). Let y be (-4 - (-196)\/20)\/((-1)\/(-5)). What is the second derivative of -70*v**3 + y*v**4 + 70*v**a - 15*v wrt v?\nAnswer: 348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1a9?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.2 + -44. Round o to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*r = -l - 18508 + 17419, -4*l + 9 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(-265) - (126\/(-15) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(-4*s + 4*s + s) + 1 - 1 + 2*s + s - s + 2*s - 7 + s + 7)*(1 + 2 - 6)*(1 - 5 - 1).\nAnswer: 105*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*o + 48 - 125 = -14*q, -15 - 86 = -q - 5*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27850 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02731569*2.\nAnswer: 0.05463138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -39962*s**2 - 4459*s + 91. Let x(k) = -888*k**2 - 99*k + 2. Let a(p) = 4*f(p) - 182*x(p). Let m(j) = 29*j**2 + 3*j. Determine -3*a(v) + 182*m(v).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 6*c + 66. Let p be r(-15). Suppose -u = -2*m - 118, -2*u + 7*m - 10*m + p = 0. What is the greatest common factor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-153*s - 724*s - 232*s - 1673*s)*(3 + 2 - 4 + (3 - 3 + 2)*(0 + 2 + 0)) in the form x*s + v and give x.\nAnswer: -13910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1109 by 1.\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 2:20 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 17, 5, 2\/363, -1\/4.\nAnswer: -69, -1\/4, 2\/363, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7 + 219 + 77 = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczuzuzczczzzc. Give prob of picking 1 c and 1 z.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 5. Let f = 0 + 4. Suppose -4 = t, o + 14 = f*j - t. Calculate the least common multiple of 4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3760515 rounded to the nearest 10000?\nAnswer: -3760000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 5, -27, -4 in descending order.\nAnswer: 5, -3, -4, -18, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 19*x + 104. Let s be y(-11). Solve 2*q + 2*q = s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/((-16926)\/155))\/(130\/84)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(-3\/8)*m*m*m\/(m*((m*((m\/(m\/(m*m\/m**(-6))))\/m)\/m)\/m)\/m))\/((m**(-8)\/m)\/(m**(-3)\/m)) assuming m is positive.\nAnswer: m**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/7)\/((-1152)\/1792)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/11 + 104*x**2\/11 + 40*x + 448\/11.\nAnswer: -2*(x - 56)*(x + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 3. Let v be p(2). Is v\/(-3) + (-2976)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2710 divided by -1505.\nAnswer: 542\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/14*(337\/3370)\/(((-12)\/105)\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4465 divided by 659.\nAnswer: 4465\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099603039?\nAnswer: 1099603039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + 20 + -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 25 = -46. Let f(u) = -u**2 + 42*u - 341. Calculate the remainder when w is divided by f(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8741 is divided by 2847.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16\/3, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 - 18 = 0. Let a = 20 + -19.7. What is the biggest value in -4, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13057623, 26115251, 39172879, 52230507, 65288135, 78345763?\n\"Answer: 13057628*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67796936873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/3 + 198910*d**4\/3 - 6594330602*d**3\/3 + 72878341758266*d**2\/3 - 145677559505356*d\/3 - 582921243871216\/3 = 0.\nAnswer: -2, 4, 33151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*v**2 + 91*k**3 - k**2 + 67*k*v**2 - 2 wrt k?\nAnswer: 18*v**2 + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1 times -83.7?\nAnswer: 426.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7854 - 0.2146. Which is the closest to u? (a) -3.67 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 3}. What is prob of picking 2 b and 1 u?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + 280. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -r, -s + 0*s = 2*r - 8. Let k(m) = -m**2 + 8*m + 9. Let x be k(8). Suppose 2*j + x = -1. Put j, 0, s in ascending order.\nAnswer: j, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -68 (c) -2\/73 (d) 4\/65 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-12 + 3 + 0). Suppose -72 = -b*s + s. Let y = s - 15. Solve -3*u = -7*f + 3*f - 16, y*f - 2*u = -11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011066.7 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Suppose -p*r + 8 = -2. Let o be (-18)\/(-27) - 17\/3. Sort o, r, -1 in increasing order.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 18*z + 35. Let m be y(-16). What is the second derivative of 17*g + 15*g**4 + 10*g**3 - 10*g**m wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 95997 = -4*c - 0*s, -3*c = 2*s - 71998. Round c to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1594 = -75*f + 12131. What is the remainder when 860 is divided by f?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 3, 1, 0 in descending order.\nAnswer: 3, 1, 0, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -1099.\nAnswer: -15\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = 0, -4*w - 20 = -4*l + 6*l for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = t - 6*f - 44, -t - 4*f + 56 = 0. Suppose 5*p = -4*r - t, -4*r + 7 = -5*p + 15. Let n(z) = -z - 6. Give n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*g + 16919, 2*r - 78*g + 83*g = 8497. What are the prime factors of r?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6500878?\nAnswer: 2, 41, 79279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-3*4 - sqrt(192)) + sqrt(192)*-2*-5 + sqrt(192))\/(sqrt(726)*2 + 2*(3*sqrt(6) - sqrt(6))).\nAnswer: -4*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 641 + -412. Suppose -2*g = 2*d - 65 - 29, 0 = -5*d - 3*g + f. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 776, 860, 954, 1058, 1172?\n\"Answer: 5*c**2 + 69*c + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -27. Sort 4, -1\/8, g in descending order.\nAnswer: 4, g, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen sixteenths of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen tenths of a decade?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -108.1.\nAnswer: -324.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 730098 and 62136.\nAnswer: 2920392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 9*j - 21*j)*(-j**2 + 4*j**2 - 5*j**2) + (-3 + 2*j + 3)*(-2*j**2 + 2*j**2 - 2*j**2).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + -0.1. Let j be -1*((-21)\/5 + 4). Let i = -2.9 + 3. What is the nearest to i in -0.2, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - 25*p - 2. Let v be c(-6). Find the second derivative of -1154 + 67*s**v + 579 + s + 572 wrt s.\nAnswer: 804*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110010 (base 2) to base 13.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**5\/9 - 46*n**4\/9 - 286*n**3\/9 - 242*n**2\/9.\nAnswer: -2*n**2*(n + 1)*(n + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 76*c - 6 + 190*c.\nAnswer: 114*c - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3))**(-48)\/(s\/(s\/(s*s**(-2\/9)*s))*(s*s**(3\/7))\/s)*(s\/(s\/(s*s**0\/s)))**(-15)*s**(3\/4)*s*s**(-6) assuming s is positive.\nAnswer: s**(-5659\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12889 is divided by 11564?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = v - 15, 13*v - 9 = 14*v - 3*k. Solve -m - 3*m = -4*a, v*a + 5*m = -24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*y + 42 - 30 = 0, 0 = 3*n - 4*y - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 16*v**2 + 6*v - 4. Let c be m(2). What is the common denominator of -1 + 6\/c*-2 and 5\/182?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 788 + 131. Suppose 29735 + z = 3*t + 3*v, -t + v = -10208. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 73573?\nAnswer: -73544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + n - 1 = 0, 2*s = 6*s - 3*n + 7. Let c be 2\/(-15)*(s - 455\/240). Let a = -0.07 + -0.03. Does c = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*v**4 - 7*v**4 - 7*v**4)*(-4 + 6 + 1)*(1 + 0 + 1).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-7 - 15*(-14)\/21. Find z, given that -9\/2 + 1\/2*z**j + 15\/2*z - 7\/2*z**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2645741 - -271?\nAnswer: 2646122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x**4 - 6*x**2 - 8. Let q(r) = -4*r**2 + 0 + 1 + 5*r**2 + r**4. Let c(f) = 12*q(f) + 2*z(f). What is the derivative of c(p) wrt p?\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13468939.\nAnswer: 11, 761, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - -4 - 0 - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 10*p - 11. Let g be x(-13). Suppose b + g = -q + 3*q, 0 = -2*q - 4*b + 28. Suppose q*i - 640 = 4*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23833 - -23833. Solve p = -51*l + 55 + 251 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-23)\/r)\/r)\/r**(1\/5))\/((r\/(r*r*r*(r**(2\/11)\/r*r)\/r))\/r*r)**(-35) assuming r is positive.\nAnswer: r**(-3661\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2570\/(-3084)*(-173)\/(-1100) and -169\/3300.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(14\/5)*n*n\/((n\/(n*n**(2\/57)))\/n)*n*n assuming n is positive.\nAnswer: n**(2233\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2 - 85*b**4 - 4851*b - 2 - 68*b**4 + 4733*b wrt b?\nAnswer: -1836*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 1, i: 1}. What is prob of sequence vaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213 or 38383\/179?\nAnswer: 38383\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**5 + 2*l**5 + 0*l**5 - l**3 - l**5 + l**3 + (-2*l**2 - 4 + 4)*(l**3 - 4*l**3 + l**3) - 2*l**5 + 4*l**5 - 4*l**5 + 129*l**5 - 249*l**5 + 148*l**5.\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 1, s: 2, l: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c - 4. Let w be t(-6). Let r = w + 52. Suppose -10*k + 5*k + 25 = r. What is the third biggest value in -6, -0.1, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a + 3. List the prime factors of (a + -2*1)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 212, 472, 836, 1304, 1876, 2552?\nAnswer: 3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163755167739491\/26924614592100 - -1\/3019808725. Let k = 16\/479 - 12367\/355897. Let g = k + c. Find the common denominator of g and -107\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 0 + 3 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.983 + -0.017. Suppose -2*r - 2*i = -0*i, -3*r = -5*i. What is the closest to r in b, 2\/11, -4\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002671472 to seven decimal places.\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5456 + -3777. Let v = l + 17. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 8*p + 4. Let m be r(8). Suppose -4*f + 22 = -3*y, 4*f - m = 5*f + 4*y. Suppose -h - f*h + 65 = 0. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1596 - -1607. Solve -3*t + 1 + a = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 16*f**2 - 1383*f + 472. Differentiate h(q) wrt q.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -120\/7, 4350, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 4*v + 14 = 57, -4*q + v = 28. Let l(s) = s. Let c(m) = -2*m + 10. Calculate q*l(p) - c(p).\nAnswer: -3*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnllegt. Give prob of picking 1 e, 1 n, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*w + 8, -w - 5*g = -6*w + 30. Suppose -3*p + w*x + 150 = 0, -33 - 117 = -3*p + x. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1 + 4*x**2 + 3*x**2 - 6*x**2 - 2*x**2. Let a be o(-1). Put a, -8, 2 in decreasing order.\nAnswer: 2, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 15*l**2 + 4*l**2 + 2*l**3 to p + d*l**2 + y*l**3 + v*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45760\/57 - 370\/19. Let j = w - 776. Calculate the common denominator of j and (-6)\/(-45)*130\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/29 in -5, -0.0652, -0.1, 5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3902 - -5089. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(500) + sqrt(500)*3)*-5 + 6*-1*sqrt(500) + sqrt(500))**2.\nAnswer: -500*sqrt(5) + 312501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, e: 7, l: 2}. What is prob of sequence lees?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3. Let i be q(-1). What is the closest to -0.2 in -0.6, 0.5, i?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0 - 3)\/((-2)\/18). Find the third derivative of -2*y - 52*y**6 + 4*y + a*y**2 - 452 + 452 wrt y.\nAnswer: -6240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412574 - 2848 = -41*g - 22*g. Is g a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/24 - (-1)\/(1\/4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 1}. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 - 124. Calculate the greatest common divisor of q and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 279, 592, 1009, 1518, 2107, 2764, 3477?\nAnswer: 4234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a600ca (base 14) in base 12?\nAnswer: 1a65a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 5) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 2, -202 in decreasing order.\nAnswer: 2, -61, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -3\/7, -30.25?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - h + 12, -4*l + 2*h - 20 = -h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**3 - 1275*n**3 - 1050*n**3 - 416*n**3 + 588*n**3 - 462*n**3.\nAnswer: -2630*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**7\/30 - 11*l**6\/360 - l**5\/30 - 40*l**2 + l - 3. Let z(d) be the first derivative of g(d). Find q, given that z(q) = 0.\nAnswer: -1\/3, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -11. Let s(n) = -n**3 + 4*n + 3. Let j be s(h). What is the first derivative of -2 + 24*l**j - 2 - 30*l**3 wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**2 - 6*l**2 - 7*l**2 - 12*l**3 wrt l.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 7, 1, 4 in descending order.\nAnswer: 7, 4, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 45*h - 50. What is l(-22)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376834 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1020, -1110, -1210, -1326, -1464, -1630, -1830?\n\"Answer: -v**3 + v**2 - 86*v - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 2, x: 3, s: 13}. Give prob of picking 1 x, 1 t, and 1 s.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 9*a**2 + 15*a + 1. Give t(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-9)\/((-9)\/2). Let n be 1 + -4 + t - -1. Suppose -2*k = 4*d - 206 - 598, 0 = n*k + 4. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, -0.5, -3, 0 in ascending order.\nAnswer: -3, -0.5, -0.26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -14. Calculate the common denominator of (5 - 75)*(-2)\/(-44) and ((-18)\/40)\/(p\/(-5)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24*x + 36 - 3*x**2 - 18*x - 2*x**2. Let k(b) = -b**2 + b + 7. Let p(w) = 2*f(w) - 11*k(w). Let j(l) = 1. Give 5*j(c) + p(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/(-6*(-91)\/7332)*7.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**3 + 0*d**3 - 3*d**3)*(1 - 2*d - 1)*(1 - 1 + 3).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)\/((-3)\/75). Let c = -10 + 14. Let x be 215\/v + c\/10. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 930*t + 1840 = 0 for t.\nAnswer: 2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -54*i**2 - 101*i - 1. What is x(-1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.006365 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -8 (b) -17 (c) -4\/97 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 15. Is x(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3 - 3)*(3*a - a - 3*a)*(1 - 3 - 1) + (-a - 3 + 3)*(-38*a + 11*a - 99*a) as z*a + r*a**2 + n and give r.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663158\/31 bigger than 85908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 11482 - 14918 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 943 + -947. Which is the closest to 2\/5? (a) -0.5 (b) i (c) 0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*l + 1\/4*l**2 + 1\/2.\nAnswer: (l - 2)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-126)\/(4 + -10)*57\/(-6)*-26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 766\/(-20). Let b = 220499 + -220461. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -17\/4, -1.3, -846, 0, -1, 1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183378 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 14) + 1 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17837, -17821, -17805, -17789, -17773, -17757?\n\"Answer: 16*x - 17853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 225*f**2 - 4*f**3 + 0*f**3 - f**3.\nAnswer: -3*f**3 - 225*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68532 by 12.\nAnswer: 5711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*-6)\/sqrt(5) + -3)**2.\nAnswer: 144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5657 * 0.7\nAnswer: 3959.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i - 8. What is the units digit of v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 108. Let i = l + 138. Suppose p - 5*j = 6, -4*p - 41 = 3*j - i. Calculate the remainder when 62 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**3 + i**2 - 245872*i + 4131919 with respect to i.\nAnswer: -18*i**2 + 2*i - 245872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 88686*o**2 + 0*o + 88684*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 2801 = -245*s - 10*s + 5803 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n - 1)*(-34*n**3 + 4*n**3 - 6*n**3) + 3*n**4 + 0*n**3 + 0*n**3 + (-1 + 1 - n)*(-5*n**3 + 2*n**3 + n**3) - 4*n**4 - 3*n**4 + 6*n**4.\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 222 - 5346*y - 54 - 3712*y - 168 + (-4 - 2 + 4)*(y + y - 4*y) - 4*y + y + y.\nAnswer: -9056*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l**2 + 3*l - 4. List the prime factors of a(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20700, -20701, -20702, -20703, -20704, -20705?\n\"Answer: -d - 20699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.131 + 29.031. Which is the closest to 1? (a) 0.3 (b) n (c) -5\/3 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7624 a factor of 1398104368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368 + -365. Solve -w*x + l - 14 = 2*l, 0 = -5*x + 4*l + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8323 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376192713*k**2 + 242164505*k + 1 wrt k?\nAnswer: 752385426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 65, 142, 249?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-39)\/n)**37*(n**(-5)\/n)\/(n*n**(-20\/3)))**(4\/11) assuming n is positive.\nAnswer: n**(-17320\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x**2 - 257*x + 6411. Is 159 a factor of k(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 14*a**2 - 2*a - 12. What is the units digit of l(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359075 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(34\/(-2) + 16)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(2*u + 0*u - u) + 2*u - 5*u - 7*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -28 (b) 2\/19 (c) -0.4 (d) -5 (e) -5.7 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 2. Let p be r(0). Suppose -p*f + 0*f = 3*l - 3, 0 = -5*l - 25. Let w be (2 - 2)\/3 + f. Solve -4*o = -w*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*z - 16, -3*q + 5*z + 8 = -2*q. Let o be q\/(1 + 76\/(-72)). Suppose 16 = -2*d + o. Calculate the least common multiple of 11 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, 0, 3, -12, 5 in descending order.\nAnswer: 5, 3, 0, -4, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -54.\nAnswer: -55\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.43. Let a = -102.39 - -103. Let o = t + a. Round o to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10411539?\nAnswer: 3, 1847, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = 2*u - 96, 0 = 4*u - 4*p - 172. Calculate the remainder when 269 is divided by u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*k - 104837, 8*a - 13*a - 34914 = -k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 65 = -10*o + 5*t, o + 4*t = 7. Suppose -21*g + o*g + 2172 = 0. What are the prime factors of g?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 4043.\nAnswer: 4043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -33 - s - 45 + 112. Let f = 6 - 6. Is m(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -5*c - 20, 3*c = -r - 4. Let a(v) = v**2 - 3*v - 3. Let h be a(3). Put 1, c, -1, h in descending order.\nAnswer: 1, -1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1324, 1337, 1360, 1399, 1460, 1549, 1672?\n\"Answer: s**3 - s**2 + 9*s + 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22 - -3)\/((-33)\/(-36) - 1). Let z = -229 + q. Let y be (-2)\/((-2)\/10*2). Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = 10. Find the common denominator of -1 - (2 + 39\/d) and (-1651)\/78 - (8 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*(i\/(i*i*i**2*i))\/i))\/((i*i**(-49)*i)\/i) assuming i is positive.\nAnswer: i**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 33 (b) -4.206 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:10 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(7\/3)*c**(-3\/14)\/c assuming c is positive.\nAnswer: c**(-107\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -4. Suppose -232 = 2*t + 5*n, -2*n = 9*t - h*t - 464. Let v = t + 322. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 32. Is m(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -1435?\nAnswer: 1434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 6. Let m be u(4). Let j be 24\/21 + (-7)\/49. Let p be ((-1 + 2)*0)\/j. Which is the nearest to p? (a) -2\/7 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:43 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58, -357, -856, -1555, -2454, -3553, -4852?\n\"Answer: -100*z**2 + z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 10*d - 36*d - 33*d + 17*d + 20*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*v = -93*v + 117. Suppose -158 = -v*r - 28. Suppose -3*j - 3*i = 0, 0 = j + 3*j - 2*i - 12. Solve -r = -3*h + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1.7, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150 and 4.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -3*v + v. Suppose 25 = -5*h, -2*a + 7*a = -4*h. Is v + a + 0 + 4 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1519 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 4*c - 3 + 7 + 5 - 8 + 15*c**3. Let x(b) = -14*b**3 - b**2 - 5*b - 1. Let j(h) = -3*r(h) - 2*x(h). Is 4 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-100))\/((-51)\/4590)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -200*v**2. Let k(c) = 2*c**2. Determine i(k(l)).\nAnswer: -800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15995 or 64\/3?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 1, h: 3, d: 3, b: 2, m: 1}. Give prob of sequence bhmh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-6)\/(-9)*-3. Solve 0 = 3*b + g - 6, -z*b = g - 5*g - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(272)*4))**2.\nAnswer: -800*sqrt(17) + 108825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19206 = -14*m + 36*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72318 and 12.\nAnswer: 144636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 245157 times 44\nAnswer: 10786908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:51 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -37642?\nAnswer: 37640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 0*g + 0*g**6 + 0*g**4 + 0*g**2 - 2 + 0*g**5 + 4\/3*g**3 + 3\/7*g**7. Find the third derivative of f(v) wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a - 121?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:53 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.5, 26.7, -945?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641522 (base 10) in base 16?\nAnswer: 9c9f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 71*z + 2. Let v be s(0). Solve b - v = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 34757.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45064*a**3*l + 2*a**3 + 25*a**2*l + 3*a*l - 266*a wrt a.\nAnswer: 270384*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)\/y)\/(y**7\/y))**(-2\/13) assuming y is positive.\nAnswer: y**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -43. Suppose -k = -4*d - 9. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -0.06?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 + b + 2. Let w = -44 - -44. Let z be x(w). Is -12 - -66 - (z - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*j = 0, 3*j + 19 = -2*d - j - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 2\/11 (c) 0.95 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 35*o - 249. Let z be u(7). Let y(m) = -m - 5*m**2 + 0*m - 2 - m**3 + 2*m**2 - 2*m**2. What is y(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -33.45. Let z = d + 0.25. What is the fourth smallest value in 0.4, -1, -5, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 5. Let f be ((-78)\/30 + 2)\/(18\/60). Let o(k) = 2*k - 11. Calculate f*o(v) + 5*t(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 52, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/19? (a) -0.5 (b) -1\/3 (c) -2\/3 (d) 1\/3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602, 774, 946?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) 148 (c) 2 (d) -10 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48470*x**3 - 846*x + 624959547?\nAnswer: -145410*x**2 - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-416)*16)\/(2\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-7)\/((-14)\/(-6)). Let b(t) = -2 - 3 + u - t. Let y(q) = -q - 1. Calculate 4*b(n) - 2*y(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*q - 12, 5*q + 3*n = -2*n + 30. Solve -2*z + 0*z + q = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (0 + 5 + -7 - 7) - (81 - -4)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m*m\/(m*((m*m*m**(1\/44)*m)\/m)\/m))*m)*m**7)**(-2\/39) assuming m is positive.\nAnswer: m**(-307\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (213\/2)\/((-25356)\/16904)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1)\/sqrt(8) - sqrt(11)) + (-4*1*sqrt(11))**2 + -2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 8, j: 8}. What is prob of sequence nxjj?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69176 is divided by 69.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgg. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35916328, 71832659, 107748990, 143665321, 179581652?\n\"Answer: 35916331*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001644025 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -308*k**3\/3 - 158*k**2 - 8*k + 362. Solve b(u) = 0.\nAnswer: -1, -2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 39*i**2 + 13*i + 961. Let o(l) = -47*l**2 - 16*l - 963. Calculate -5*o(u) - 6*y(u).\nAnswer: u**2 + 2*u - 951","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*y = -5*f - 93, -5*y + 15 = 0. Let u be f\/14 + (1 - -5). Solve -5*p + 3 = -j, p = u*j - j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*l**3 - 403*l**3 + 41*l + 9*l**3.\nAnswer: -658*l**3 + 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from nnnnnnnnnnpnnpnpnnnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -132*s**2 - 10*s. Give i(1).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(7\/56*16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)\/u*u)\/u)**(-16\/7) assuming u is positive.\nAnswer: u**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8140)\/16*3\/(-6). Let o = 611 + -865. Let s = o + i. What is the nearest to 0.1 in -1\/6, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:43 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(25\/(-20))*10\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45325*i**3 - 93735*i**2 + 51495*i - 3085 = 0.\nAnswer: 617\/9065, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3609.\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068049942 divided by -46?\nAnswer: -23218477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2045*1.86128.\nAnswer: 0.38063176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(3140\/(-150) + 21)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 - 70. Let f = -128 + u. Which is the closest to f? (a) -12 (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 7*h + 9. Let s = -4998 - -5003. Give g(s).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 6\/5, 2, 0.3, 0.\nAnswer: -19, 0, 0.3, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11550 and 198757350.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 56 + 39*a in the form m + w*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*v**2 - 11*v - 38*v**4 - 149*v**2 + 77*v**2 - 23*v**4 wrt v.\nAnswer: -1464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(1\/42). Let d = -2974 - -3012. Suppose k + u = -2*l + 3*l, d = 2*l - 4*k. Calculate the remainder when 65 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(800))\/(-1*sqrt(144)).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22923851065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 23 + (29 - 33).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742354717 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 54066800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323118 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 97, 275, 613, 1165?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.9 - -23.41. Let c = g - 0.51. Let y = 0.8 + -0.5. Put 5, y, c in ascending order.\nAnswer: c, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -31*u. Let b(c) = -22*c + 81174. What is v(b(n))?\nAnswer: 682*n - 2516394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*a + u, -3*a = -7*u + 11*u - 7. Let p(w) be the first derivative of w**3\/3 + w**2\/2 - 4*w + 1. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-4 + 0 + 2)*(-3*n - n + 0*n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -325, -491, -657?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-6)\/18*24\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63831*v**2*x + 461*v**2 - 95*v*x + 227202*v wrt v?\nAnswer: -127662*x + 922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/8)*y*y**2*(y**(-2)\/y)**(-19\/2)*(y*(y**(-1)\/y)\/y)**15*y\/y**(-1\/2)*y**(1\/2) assuming y is positive.\nAnswer: y**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3412233 - -22?\nAnswer: 3412310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.62 - 0.28. Let h = p - -1.8. What is the closest to h in -0.02, -2\/7, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, -31, 1, 22, -2, -45.\nAnswer: -45, -31, -4, -2, 1, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 294445087, 294445089, 294445091, 294445093?\n\"Answer: 2*k + 294445085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930 a factor of 1256634077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246228 is divided by 100?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cda - 99?\nAnswer: 2c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12 - 175*c - 2*c**2 + 7*c**2 + 182*c + 14*c**2. Is 18 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2517851 rounded to three decimal places?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*d**4 + 7*d**4 - 24*d**4)*(d - 436 + 411 + d).\nAnswer: -90*d**5 + 1125*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 220.2974786595 + 23.7025214735. Let d = -244 + o. Round d to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95395205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - s - 6 + 2*s - 4*s**3 in the form h + u*s**2 + k*s + y*s**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8208 - 16409 - 9*z + 8201.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, 32, 1\/3, -3, -27, 5 in descending order.\nAnswer: 32, 5, 1\/3, -3, -27, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -0*k. Calculate the remainder when k is divided by (0 - (1 - 2)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*6\/(-12)*-6*1. Let a(x) = -8 + 4*x + 17 + x - 3*x. Let d be a(-3). Solve -r = -d*m + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 818*o + 5 + 3 - 1 + 32*o. Is f(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 30. Let p be u(-10). Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 198344 and 11702362\/59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23032508 to the power of 1\/2, to the nearest integer?\nAnswer: 4799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29335591?\nAnswer: 17, 113, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7445 > 7445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 23 = 11*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - -6) + 2 + 7 + -14 + 3.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 380774536 - 380774862.301661. Let g = p - -326.3. What is g rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708536170.\nAnswer: 2, 5, 41, 647, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 6. Let h be -2 - (-14)\/4*2. Let k be w(h). Let p = 18 - k. What is the second smallest value in 2\/9, 2\/5, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 9}. Give prob of picking 4 q.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1acd4 (base 15) in base 5?\nAnswer: 10243044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 + 7*n**2 - 15*n**4)*(-2 - 1 + 2).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 30*z. Give x(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by (3 - 5)\/(174\/60 - 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let u = s - 5. Let z be (-4)\/1*1\/(-10). What is the nearest to u in z, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436046903 to the power of 1\/3, to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t - 258. Determine n(-25).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-2)*(-11 - -42*8\/32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141150 is divided by 2874.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n*n*n\/(n\/(n**1*n)))\/((n*n**(2\/31)*n)\/(n*n**(-2\/5)))*n**(-3\/4)\/(n*n**(3\/4)\/n*n)*(n**8*n)\/n**(-4\/11) assuming n is positive.\nAnswer: n**(32051\/3410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2, -35, 6, -0.6, 0.47 in decreasing order.\nAnswer: 6, 0.47, -1\/5, -0.6, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = 5*r + 2, -5*r - 5*v = -5. Suppose r = -3*a - 3 + 24. Let -27*q**2 - 185*q + 545*q + 100 + a*q**2 + 55*q**2 = 0. Calculate q.\nAnswer: -10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 2. Let l = -13 + n. Solve 4*m + 5*o + 1 = m, 2*o = -l*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 3*g - 5. Let d = 292 + -289. Let z(p) = p**2 - p - 1. Calculate d*z(k) + f(k).\nAnswer: -k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2678 (base 10) to base 15\nAnswer: -bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -9 + 7 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:28 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**(-11\/4)\/x)\/x)\/x))\/((x\/(x*x**11\/x)*x*x)\/x))**(-1\/28) assuming x is positive.\nAnswer: x**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/154 - ((-2)\/(-30))\/((-28)\/348). Which is the closest to 1.3? (a) -10 (b) 0.5 (c) 1\/10 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 250 = -142 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20913300 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/59, 1\/5, -0.013.\nAnswer: -6\/59, -0.013, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + 24. Suppose 2 = 4*w - h. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182.3209 + -0.6791. Which is smaller: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 21564, -163\/2 in increasing order.\nAnswer: -163\/2, 0.5, 21564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*l = 1021 - 994, 4*z + 63*l = 358 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 - -a?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*l + a + 3, -a - 82 = -4*l. Suppose y - 3 = -t + 3, -2*t - 4*y = -4. Suppose 5*h = l, -4*h + 0 = -p - t. Solve p = -4*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4881.112um to nanometers.\nAnswer: 4881112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10 - (5 - 2098\/141) and 46\/177?\nAnswer: 8319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3451 - -3?\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 4*c**5\/5 - c**4\/12 + 149*c**2 - 3*c + 7. Find the first derivative of d(k) wrt k.\nAnswer: 48*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 10*g**2 - 5*g - 17. Let z be 4*10\/(35\/(-7)). What is the units digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2+76358\nAnswer: 76360.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p - 171. What is v(5)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2126*(-6 - -2) - -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/2)\/(-7))\/((-1)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2513*k**2 - 77*k + 77*k.\nAnswer: 2513*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -43, -56, -73, -94?\n\"Answer: -2*g**2 - 3*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 27637431337063?\nAnswer: 27637431337057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3 + 8, 331 = 5*z + 4*h. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(343))*-5)**2*1.\nAnswer: 490*sqrt(7) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31213331 (base 4) to base 7\nAnswer: 321461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10306 by -8.\nAnswer: 5153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, h: 14}. Give prob of sequence wwh.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53285.\nAnswer: 5, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*a + 140*a + 221*a - 110*a - 11*a to y + j*a and give j.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-40))\/((-148)\/(-10360)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 + 2*w**2 + 2*w - 2. Let c be a(2). Suppose 3*k = k + c. Calculate the greatest common divisor of k and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 0*b + (0 + 2 - 1)*(3*b - 3*b + b) - 3*b - 5*b - 2*b)*(3 + 1 - 3)*(25*b**2 + 11 - 11).\nAnswer: -250*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 13*o + 28 = 0. Let s(x) = -x**3 - 4*x**2 + 3*x - 4. Give s(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*h + 31*h + 36*h)*(-2 + 0 + 3)*(-2*h**3 + 3*h**3 + 0*h**3).\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u + 81 = -75*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 52940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 4, j: 3}. Give prob of picking 1 m and 1 j.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 0.026427.\nAnswer: -0.0369978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634 - 636 + 1270 + 13*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Let o be z(-5). Let v = 3 - -2. Let p be 2\/(-4)*(-10 + 6) + -2. What is the closest to p in -1, v, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3598a (base 14) in base 5?\nAnswer: -13141404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420.5921227 rounded to one decimal place?\nAnswer: 420.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m**(-41)*m)\/m)\/(m\/(m\/(m**(-5\/6)\/m)))*m**(26\/3)\/(m*m*m**28) assuming m is positive.\nAnswer: m**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 712656.3 years in centuries?\nAnswer: 7126.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2422 and 121\/194390.\nAnswer: 33629470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b**2. Let s(i) = 62*i - 14*i - 59*i. Give s(r(w)).\nAnswer: 165*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 243002 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -36389\nAnswer: 36372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350 - -353) + 5 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 16*w - 23*w + 0 + 0.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000066194 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1166235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2858*b**2 + 695*b**2 - 396*b**2.\nAnswer: 3157*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/4 (c) -1\/6 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 1 + 4*w + 5*w - w**3 - 4*w + 0*w**3. Let p = -10 - -6. What is the units digit of o(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.1041ug in tonnes?\nAnswer: 0.0000000003711041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 4*l. Let f be x(3). What is the tens digit of (-1 - 0)*f\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u. Let t be ((-28)\/21)\/((-4)\/(-78)). Let a(s) = -1. Let g(k) = -2*k + 6. Let h(x) = 12*a(x) + 2*g(x). What is t*h(i) + 6*n(i)?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -471.461.\nAnswer: 2357.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352466 is divided by 517?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 59 = -3*l, -528*l + 529*l - 394 = -23*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 11:01 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*h + 57*h - 96*h to w + i*h and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79\/3 - 26. Suppose -2*o = 4*q + 8, -3*q - 17 = -o - 1. Which is the nearest to 0? (a) o (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -39, -65, -99, -141, -191?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4081864 grams?\nAnswer: 0.0000004081864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 6*t + 0*t)*(13 + 3*t - 13 + (2 - 3 - 1)*(-4*t + 4*t - t) + 2*t - 3*t + 0*t).\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*s = -16, -7*a + 2*a - 2*s - 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1)\/((-1)\/2). Let y be (d\/15)\/(1\/(-30)). Suppose 0 = -2*g - 2*g + y. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2852 and 8990.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17619, 18425, 19787, 21705, 24179?\nAnswer: 27209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 345344, 345569, 345782, 345977, 346148, 346289, 346394, 346457?\n\"Answer: -u**3 + 232*u + 345113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146460*p**2*z**2 + 5768*p**2*z + p*z - 1 wrt z?\nAnswer: 292920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43135670939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 + 1 = 0. Suppose 0 = u*o + 2*k - 656, 0*k - k + 1624 = 5*o. Suppose 0 = -y + o + 11. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z - 31. Calculate the remainder when o(5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + 1 - 3. Suppose -5*b + c*b + 35 = 0. Let g = 290 + -270. What is the remainder when g is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 3 + 8*m - 2 + 6. Let p be f(-4). Suppose 5*n - 19 = p. Calculate the greatest common factor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1633*i**3 - 2*i**2 + 2*i - 4. Let d(w) = 11431*w**3 + 15*w**2 - 15*w + 30. Calculate 15*a(m) + 2*d(m).\nAnswer: -1633*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73495 or -73522?\nAnswer: -73495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*(-5 + (-190)\/(-50)). Solve n = -w + d, -3 - 5 = -4*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a9830 + -152?\nAnswer: -10a9982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**3 - 472802*p**2 - 2*p + 35905703 wrt p.\nAnswer: -3*p**2 - 945604*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 47*c = 3*p - 1141494, 0 = 5*p + 4*c - 1902535. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1101, 708, 305, -108?\n\"Answer: -5*y**2 - 378*y + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 8. Let f be g(-5). Suppose -t + 89 = f*w, -w = -0*t - 2*t + 213. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*2*3)\/sqrt(6) + -6*((sqrt(13) - ((sqrt(13) - (1*sqrt(13) + sqrt(13))) + 4)) + 3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(133)*1)\/(sqrt(63)\/sqrt(144)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 14*i = 56. Suppose -7*n = -i*n - 60. Let q = 155 + n. 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 0.8260137mg in grams?\nAnswer: 0.0008260137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 714 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 < 108628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -41. Suppose -2*k = 0, 5*g - 2*k = 2*k + 25. Solve 25 = g*z - 0*z, 5*v = -4*z + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13514.\nAnswer: 2, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (25 + -13 - 22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*sqrt(68)*-4*-2.\nAnswer: 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13)\/91)\/((-12)\/(-14)). Let r = 908.4 + -1044. Let j = -136 - r. Put u, 10, j in ascending order.\nAnswer: j, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjjjz. What is prob of sequence jzj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 - 23 + 39 + f**2 - 17. Determine y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/24*264\/396)\/((-164)\/16).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18102849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2197490, -17579849, -59331956, -140638685, -274684910, -474655505, -753735344?\nAnswer: -1125109301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 18. Give s(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5806677231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 3. Give x(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by -665.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -5, 6.\nAnswer: -5, 2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-900)\/80*38\/57?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 5*h. Let j(i) = -i. Suppose 174*w - 223 = -44*w - 5*w. Give w*j(q) + g(q).\nAnswer: -3*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -26, 4, -2 in ascending order.\nAnswer: -26, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 46081115.4 to the nearest one thousand.\nAnswer: 46081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -163*v + 168*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11*v + 5*v**2 - 8*v**2 - 12 = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 68, 118, 162, 200, 232?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0271 - -1.3271. Which is the closest to i? (a) -0.2 (b) -0.32 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 3 - 3. Let h(n) be the third derivative of n**6\/720 + n**4\/24 - 2*n**2. Let z(c) be the second derivative of h(c). Determine z(v(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102441\/10 + 10254. Calculate the common denominator of -2 - 18\/32 - 0 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72492 = -4*r - 0*r. Suppose 3*y + 20059 = 55828. Let n = y - r. What is n rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 75. Suppose 0*m = -3*m + o. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 26 + (-107 - -106) + (-9 + 4 - -4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let q = -37783\/15 + 2519. Let s = 1.3 - 0.3. What is the nearest to s in -2, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/7)\/f**1*(f**(-1\/4))**(-3\/49)*(f*f*f**(3\/5)*f**(-7))\/(f**(2\/3)\/((f\/f**6)\/f)) assuming f is positive.\nAnswer: f**(-34591\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/27 - (-4)\/18. Suppose 3*v = t*v. Suppose v*d + 5*d = 635. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a. Let i(k) = -10*k. Determine x(i(h)).\nAnswer: -120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39888, 60038, 80188?\nAnswer: 100338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.113 - -0.013. Let o be (24\/(-9))\/(-1) - 2. Sort 4, o, w, 2\/7 in decreasing order.\nAnswer: 4, o, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u**2. Let x(t) = -97*t**2. What is x(h(f))?\nAnswer: -132793*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**3\/2 - 2*r**2 - 2*r. Let w(p) = 3*p**2 - 8*p**2 + 4*p**2 + 0*p**2 + p - 1. Let m be w(2). Give g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 - 7*l - 8. Let i be q(-4). Suppose -5*r + 20 = 3*h - 4, 0 = -i*h + 3*r + 3. Let n(s) = s**2 - 5*s + 3. Calculate n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 522.4 in -6, -9, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1211 - 16622?\nAnswer: -21133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/13 - 470*v**4\/13 + 1398*v**3\/13 - 1394*v**2\/13 + 464*v\/13 = 0.\nAnswer: 0, 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a)*(2*a**2 - 2 + 2) - a**3 - 2 + 2 + (-1 + 2 + 3)*(-3*a**3 + 3*a**3 + a**3).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 7}. Give prob of sequence mmm.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -4, 1, 4.4, -0.3?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 1:37 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -252 - 10863619*z**2 + 10863620*z**2 + 9*z - 74. Determine w(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(700)*4 + -5 + 3 + (sqrt(7)*-2*3 - (-1 + sqrt(343))))**2.\nAnswer: -54*sqrt(7) + 5102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127328 at least as big as 127330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -3*j - 93, -90 = p - j - 81 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 617*j - 300*j - 299*j - 144 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 2*u + 0*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = 3. Let h = -1\/2 - x. What is the closest to -17\/2 in -0.2, h, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2418026018?\nAnswer: 2, 23, 107, 223, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v**2. Let a(i) = -44*i**2 - 3614*i. Determine a(j(l)).\nAnswer: -3564*l**4 + 32526*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*g = -4204 + 54132, 2*t - 19995 = -5*g. What are the prime factors of t?\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -441*b**6*c**3 + 3*b**3*c**3 - b**2*c - 261*b*c**3 wrt b?\nAnswer: -52920*b**3*c**3 + 18*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 25, -4*o + d + 11 = -2*o. Let f(t) = t**3 + t**2 - 5*t + 2. Is f(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*n**2 + 26*n**5 - 9*n**5 + 9*n**5 wrt n?\nAnswer: 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/116132089 or 1?\nAnswer: -2\/116132089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3707625 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 50 - 4 = -4*c, -4*q + 5*c + 35 = 0. Suppose 2 - q = -2*x, 3*f = -2*x + 11. Suppose -f - 11 = -4*u. What is the remainder when 5 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.117584606 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from sisisiiiii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 50240818?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22.4? (a) 0.01 (b) 0.09 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1106, 1097, 1080, 1055?\n\"Answer: -4*m**2 + 3*m + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -27858*z. Let y(q) = -3*q**2. Determine v(y(g)).\nAnswer: 83574*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b71 (base 13) to base 6.\nAnswer: 103314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47958376 is divided by 15986114.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 - 5*f + 12. Let k be q(4). What is the highest common factor of 28 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-1\/7)\/o)\/o)\/(o**(-24)*o))\/(o*o*o**(-4)\/o*o)**(1\/10))**(-16\/5) assuming o is positive.\nAnswer: o**(-11792\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19 = -p, p = 3*z + z - 23. Let y be ((-3)\/z)\/(1\/(-14)). Let s = -5 + y. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -438701*m**4 - 113*m**2 + m - 617?\nAnswer: -10528824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4 (b) 1\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539811604.\nAnswer: 2, 19, 20260679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.027395 kilograms in tonnes?\nAnswer: 0.004027395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 35682.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 34)*(2 + 2 - 2)*(3*p + 3*p - 4*p).\nAnswer: -124*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**3 + 54*p**2 + 40*p - 24.\nAnswer: -2*(p - 6)*(p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + -4 + -3 + 0 + -26.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 626672700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 - 10*n + 9. What is the remainder when 41 is divided by w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, z: 5, b: 3, p: 2}. Give prob of sequence bbb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6974201 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d. Let w(b) = -17*b + 17*b + 14*b**2. Determine q(w(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2314 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 23123*z. Let f(j) = -100*j + 2. Calculate f(u(c)).\nAnswer: -2312300*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13195, 0.08, -1\/5, -18 in increasing order.\nAnswer: -18, -1\/5, 0.08, 0.13195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117654*j + 117654*j + 3 + 1851*j**2 to the form g + t*j**2 + d*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 224 = 0. Is 57 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -21*a**3 + a**2 + a + 2. What is the remainder when (-6)\/(-6) + -2 - -92 is divided by s(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 163*m**4 + 162*m**4 - 29 - 2*m**3 in the form v*m**2 + n + d*m + o*m**4 + h*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 347cc + 5?\nAnswer: 347d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*c - 32*c - 30 + 150 to s*c + t and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -220, -545, -1010, -1621, -2384, -3305?\n\"Answer: -d**3 - 61*d**2 - d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Suppose 4*x - f*c + 0*c - 116 = 0, -3*x - c + 95 = 0. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/3))**(-12))**(9\/13) assuming l is positive.\nAnswer: l**(-36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64282512 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23233935 is divided by 546?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 13098?\nAnswer: 1309a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -631582 and -5.\nAnswer: 3157910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -156.1 and -37803.2803?\nAnswer: 37647.1803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 + 2*m**2)*(2*m - 5 - 3 + 5).\nAnswer: 6*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2896352 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = -12*i - 216 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -999, -1011, -1023, -1035, -1047, -1059?\n\"Answer: -12*f - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102101 (base 3) in base 8?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Let j(t) = 379*t**2. Calculate j(h(x)).\nAnswer: 3411*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10396 - -353439\/34. What is the common denominator of -25\/7 and i?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 1. Let w(l) = 11*l**3 + 6. Determine -6*u(i) - w(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/157462 and -35\/5432439.\nAnswer: 10864878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -288915155*t**4 - 83947208 wrt t?\nAnswer: -1155660620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 14*k - 6. Let s be -4 + (111*560341)\/k. Let c = 12832613 - s. What is c rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, 4, -2\/11, 929?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 11 + (44 - 59).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (233523\/90 - 4\/(-5)) + 8\/16 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/270 + 107*j**4\/108 - 4*j**3 - 67*j**2. Find m such that i(m) = 0.\nAnswer: -108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -216, -561, -1058, -1701?\n\"Answer: a**3 - 85*a**2 + 61*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1900))*5)**2 - (sqrt(1900)*1 + -2))*3.\nAnswer: 1470*sqrt(19) + 142581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109906080 divided by 17130.\nAnswer: -6416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11349 = -2*u + 11*u. Let y = u - 476. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 157*x**2 - 80*x**2 + 5*x**3 - 5*x**2 + 165*x**2 - 4*x to the form b*x**3 + n*x**2 + k*x + w and give n.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-52))\/((-186)\/(-12)). Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15667 = -3*p, 0 = -4*p + 4*a + 18292 + 2592. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24228.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15255 is divided by 681.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 271 = -101. Calculate the highest common factor of i and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 680 and -13.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 3*f - 8*f, -5*f = -3*u + 22. Sort 12, u, -1 in increasing order.\nAnswer: -1, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 250\/56603 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13992 is divided by 10775?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*m - 200*m + 189*m)*(5*m**2 - m**2 - 5*m**2) + (-4*m**3 + 4*m**3 + m**3)*(2 - 6 + 2).\nAnswer: 151*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 13*o**2 - 36*o - 31. Give k(-15).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)\/(n**2*n))\/(((n**2\/n)\/n*n)\/(n\/n**0)))**(-11\/2) assuming n is positive.\nAnswer: n**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8387563\/145 + -57845. Calculate the common denominator of l and 23\/55.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -280969 - 32?\nAnswer: -2809a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + ((-819)\/154 - 1\/2). What is the fifth smallest value in 0.039, -1, 0.6, z, 0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/27)\/g**(-5\/4) assuming g is positive.\nAnswer: g**(127\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 588 and 0.1143?\nAnswer: 67.2084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*x - 8041 = -1545 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -502 + 501. Let a(p) = -1. Let n(t) be the first derivative of t**2 - 5*t + 31. Calculate h*n(k) + 5*a(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 6905*m + 2 + 6903*m + (1 - 1 - 2)*(0*m + 4*m - 3*m))*(-m**2 - 2*m**2 + 0*m**2) to the form h*m**3 + u*m**2 + t + b*m and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9079 by -232.\nAnswer: -9079\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/19 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*h**4\/h*h)\/h*((h\/(h*h\/h**3*h))\/h)\/h*h*h\/(h*h**(-2\/7)*h)*h*((h\/h**(2\/5))\/h)\/h assuming h is positive.\nAnswer: h**(136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*l**2*x**2 - 3*h**3*l*x**2 - 58*h**2*l**2*x**2 - 4*h**2*l*x**2 - h**2*l + 2*x**2 wrt l?\nAnswer: -4*h**3*x**2 - 116*h**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:26 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8698\/845 + 18\/169. Calculate the common denominator of 38\/75 and s.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960, 3884, 8758, 15582, 24356?\nAnswer: 35080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 1 - 3 - x)*(378 - 4*x**2 - 380 - 3*x**2 - 2*x + 2*x - 2*x**2 + (4*x**2 + 0*x**2 - 3*x**2)*(-3 + 2 + 2)).\nAnswer: 16*x**3 + 16*x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-126) - 20\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52766 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8146 is divided by 406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:18 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*s - 23 = -2*j, 51*j - 53*j + 9*s + 46 = 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = 0. Let a = 4.88 - -0.12. Let o = -1 - -1.3. What is the nearest to 2\/5 in o, a, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 143*i**2 + 4*i. Let g(r) = r**2 + r. Calculate 4*g(t) - h(t).\nAnswer: -139*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*m**2*p**3 + 2*m**2*p**2 + 15*m*p**2 - 76*m*p + 33*p**3 - 2*p**2 wrt p?\nAnswer: 744*m**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 5. Let x(h) = h - 1. Let z be x(-4). Let t(c) = 3*c - 3 + 4 + 8. Let p = 7 - 4. Calculate p*t(w) + z*b(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.2, 1\/18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*sqrt(180)*4*-2 + 4 + -2)**2*2.\nAnswer: 2880*sqrt(5) + 576018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - -2. Let v = 396 + -399.2. Let b = h + v. Round b to 0 decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**3 - 2*z**3 - 4*z**3 - 4*z + (16*z**3 - 26*z**3 - 42*z**3)*(3 - 7 + 3).\nAnswer: 53*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26 + 14)\/24)\/((-1)\/18). Let h be -231193 - l\/((-81)\/(-63)). Round h to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -124, -108, -92?\n\"Answer: 16*f - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27412)\/(-112))\/(-89))\/((-3)\/60)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -14. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -43*r**5\/120 - 3*r**4\/8 - 7*r**3\/6 - 11*r. Let j(w) be the second derivative of x(w). Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124730 divided by -24946\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 11*s + r - 17 = 0, 2*r + 16 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + -0.9. Let w = 11.08 - l. Which is greater: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18326, -18325, -18324, -18323, -18322?\nAnswer: -18321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 5594?\nAnswer: -5599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose -12 = -3*h + 2*p + 7, 40 = 5*h - 5*p. Let y(n) = 6*n + 1. Let s be y(3). Solve 2*i + i + 4 = -2*o, -s = t*o + h*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.4 (b) 0.06 (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 2)*3 + 0)**2.\nAnswer: 432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669518 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 22*i**3 + 168*i**2 + 288*i - 128 = 0.\nAnswer: -4, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.258 (b) -2\/13 (c) -3 (d) 2\/13 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-6 - -2) + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -627508*j + 627535*j - 216 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-792)\/(-210))\/11)\/(((-76)\/(-133))\/(-2))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let q(f) = -20*f - 102. Let c be q(-6). Calculate the highest common factor of c and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = 1. Suppose l - 33 = -d*l. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2. Let i(z) = -2*z**3 + 7*z**2 - 5*z - 5. Let g(h) = -3*h**3 + 10*h**2 - 7*h - 7. Let r(y) = 5*g(y) - 7*i(y). Calculate m(c) + 6*r(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 8 = 24*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 13. Solve k + k + 17 = -5*h, 4*k + 10 = -s*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -2\/37 in decreasing order.\nAnswer: -2\/37, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29915?\nAnswer: 5, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*r**2\/3 + 156823*r\/3 + 2550.\nAnswer: -(r - 3825)*(41*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*d - 14 = -1, 0 = -3*i + 5*d - 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1723.7 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3643 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21810 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86449003423 and -1368.\nAnswer: 86449002055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 25. Let t be w(-18). Let y be 30\/(-165) + (-1157)\/t. Suppose 5*m = 115 + y. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*s + 286 wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + 72\/(-7). Let g(n) be the second derivative of n**4\/12 + 3*n**3\/2 - n**2\/2 + 3*n. What is the units digit of g(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 5*w**2 - 6*w - 11. Let m be o(8). Suppose 5*n - m = -23. Let d = -12 + n. Calculate the highest common divisor of d and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, q: 4, a: 2}. What is prob of sequence aqx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 336*q**2 - 1. Let m(o) = -o. Give d(m(z)).\nAnswer: 336*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3459*s = 1284*s + 3694*s + 651567 + 192133 for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549275 - 274645 + 58*b - 274630.\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105789 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2841, 2704, 8245, 13782, 19315?\nAnswer: 24844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -821 - -739. Is t equal to -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223596894 + 223596894.196799778. Let z = i + -33.196800878. Let h = 33 + z. Round h to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588433.959 rounded to the nearest one hundred?\nAnswer: -588400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 7*f**2 + 7*f**2 - f**2 - 13*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0771956 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/8)\/(r\/(r*((r**(-3\/5)\/r)\/r)\/r))*((r*r**4)\/r)\/(r**(-1)\/r) assuming r is positive.\nAnswer: r**(111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -686\nAnswer: -1\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*w**2 - w**3 - 2*w**3 + 125*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44761*h*r**2 + 2*h*r - 131*h + 53590322*r**2 wrt h?\nAnswer: 44761*r**2 + 2*r - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 20*k**2 + 80*k - 23. What is the remainder when n(7) is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 149*g**2 + 71*g - 186. Let b be x(-74). Solve -5*h - 2*q + 14 = b, -4*h = 4*q + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2192*l + 126179 = -2159*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2)**(-29)*h**9\/(h\/((h\/(h*h**(2\/19)*h))\/h)) assuming h is positive.\nAnswer: h**(-1541\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 2:21 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 9 = -g. Suppose -g*t + 4*t = -95. Calculate the greatest common factor of t and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66600049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, o: 1, h: 9}. Give prob of picking 1 o and 3 g.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -79, -221, -427, -709, -1079, -1549?\nAnswer: -2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/18)*q**15 assuming q is positive.\nAnswer: q**(271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + sqrt(1300))**2*2 + (5 + sqrt(1300) + -1)**2 - (6*(-1*2*sqrt(1300))**2 + -4)).\nAnswer: 136360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(156) + sqrt(156)) + sqrt(156))\/(sqrt(12) + sqrt(432) + sqrt(432)*-2 + sqrt(432) + sqrt(432)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 35826*y + 9852163. Calculate x(-275).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let w be -5 + (-4)\/p - 2. Let o = w - -13. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 7 = l*t + 4*b, 3*t - 4*b = 8*t - 17. Let z be (6\/5)\/(2\/5). Sort 1, z, t in ascending order.\nAnswer: 1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*y + 72*y + 13720. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 - 1847462?\nAnswer: -1847683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(4*(sqrt(11) + (sqrt(22)\/sqrt(2) + sqrt(11) - sqrt(11)))))\/(sqrt(125) + (1*(sqrt(125) + 1*sqrt(125) + sqrt(125)) - sqrt(125))).\nAnswer: sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 175, 260, 327, 370?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*k**2 - 243*k**2 - 317*k**2 - 156*k**2 + 69*k.\nAnswer: -522*k**2 + 69*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/s**(-3\/4))\/(((s\/(s*s\/s**9))\/s*s*s)\/(s**12*s)) assuming s is positive.\nAnswer: s**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 2*w\/7.\nAnswer: -2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - (-7866)\/(-270))\/(8\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102690 is divided by 34226.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16348.385 * -4.\nAnswer: 65393.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(2\/3)))\/(o**(-6)\/o)*o**(-3\/2)\/(o**(-1\/5)\/o) assuming o is positive.\nAnswer: o**(181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1671 + 0.3865. Let s = 0.22 - w. Round s to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 176*b + 143. Is w(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -35, 17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(5208*l**2 - 11 - 11*l**3 - 5208*l**2).\nAnswer: 55*l**3 + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.239461 decades?\nAnswer: 62.39461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1*(3 + -2))*6. List the prime factors of (32\/r)\/(((-14)\/(-24))\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 2*x**2 - 47 - 2*x**3 + 1962.\nAnswer: -2*x**3 + 2*x**2 + 1834","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/19)\/(y*y**(6\/5)) assuming y is positive.\nAnswer: y**(-239\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-2)\/6). Suppose 93 = 12*f + 33. Let p be (-3)\/f - 18\/(-30). Solve p = h*g + 4*c - 9*c + 13, 2*c - 22 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 48. Suppose -c - j*i - 1 = 0, -5*c - 4*i + 5 = i. Put 0, -4, c, 4 in descending order.\nAnswer: 4, c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.723 (b) -2\/3 (c) -1967 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-51)*240\/((-800)\/40)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-26))\/(124\/12896)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7388 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 16\/5 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2116602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/240 - 3*h**5\/20 - 35*h**4\/16 - 49*h**3\/3 - 1029*h**2\/16 - 3*h - 6. Factor u(b).\nAnswer: -(b + 3)*(b + 7)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -54 - 0. Suppose -h = -4*t + 1, -11*h + b*h + 17 = 2*t. Let r be 1 - (0 - 14\/(-10)). What is the closest to t in 0.5, 0.01, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 20333\nAnswer: 101665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 7. Suppose -4*t = -2*u - 0*u - 54, -m*t + 38 = -2*u. Solve 4 = 4*j - k, -4*j + t = k + k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiuiiiu. Give prob of sequence iiu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1. Let i(u) = -27*u**2 - 13. Let m(l) = -i(l) + 5*o(l). Let c(t) = -t**3 + 24*t**2 - 21*t - 48. Let s be c(23). List the prime factors of m(s).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(20)*-1)\/(-3*sqrt(70)\/(sqrt(7) - (sqrt(7)*-1 + sqrt(7)))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2263 - -7238. Let f = -2438 + h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4\/(-5)*130\/(-468).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13062889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 3*a**2 - 5*a**2 + a**2 - 3*a**2 + 3*a**2 + (-2 + 2 + 2*a**2)*(1 + 2 - 4))*(-4*a + 0*a + 0*a)*(-1 - 4 + 3).\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1841, 2\/11, 591, 15, 5, 0.3 in descending order.\nAnswer: 591, 15, 5, 0.3, 2\/11, 2\/1841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 1, -0.4, 422, 0.07, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*y = -272*y + 128*y + 7590. Calculate the greatest common factor of y and 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10 = -54. Let r be (13\/52)\/((-22)\/n). Let h(z) = z**2 + 11*z - 14. Let o be h(-12). Which is the biggest value? (a) 2 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*2)**2 - sqrt(20)\/sqrt(64) - (-5 + sqrt(245) + 1*sqrt(245)))*-3.\nAnswer: -7275 + 171*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3 + 2 - 5 - 6 + (1 + 1 - 3)*(-2 - 1 + 2) - 1 + 4 - 2)*(-2*i - 2*i + 0*i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 753968.73 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**46\/(c**2)**(-2\/5) assuming c is positive.\nAnswer: c**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + 3*1*sqrt(1053).\nAnswer: -10 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**4\/24 + r**3\/6 - 8*r**2. What is c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 18*t + 9. Let d(r) = -2*r**2 + 9*r - 5. Let g(z) = 3*c(z) + 5*d(z). Let n be g(-9). Let w be 0 - 2 - n*-3. Solve j - w = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -15. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(5) + 1)*-1 + sqrt(5))**2 - (-4*sqrt(280)\/sqrt(7))\/sqrt(8))*-6.\nAnswer: -24*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347.5 - -348. What is the closest to 1 in 1\/4, 7\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10028*i**3 - 10024*i**3 + 735 + 991 as q*i**2 + p + m*i**3 + l*i and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-768)\/(-4480))\/((-2)\/(40\/6))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 334 + -125. Let j = -139 + d. Let s = j + -38. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t. Let l(y) = -52*y**2 + 744. Determine l(n(p)).\nAnswer: -15028*p**2 + 744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799145.\nAnswer: 5, 277, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150950 and 12?\nAnswer: 905700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 241080.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:19 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 + -5 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -232, 17, 0, -4.\nAnswer: -232, -4, -1, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0307, -1\/3, -2, -3 in descending order.\nAnswer: 0.0307, -1\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + 350 = 0. Suppose 5*g - s = -0*g. What is the remainder when 68 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 8:00 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1685 (base 10) to base 16.\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - l**2)*(-l - 3 + 3)*(-6 + 4 + 8) + (-3*l + 0 + 0)*(27918*l - 27918*l + 173*l**2) to the form b*l + j*l**2 + t*l**3 + c and give t.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 - 1300*w\/17 + 10528\/17.\nAnswer: -2*(w - 8)*(w + 658)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 490.071 - 0.071. Let p = 481.46 - l. What is p rounded to one decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 1. Let d be i(1). Suppose -5*b = -d - 11. Let g(t) = t**b - 5 + 2*t**2 - 2*t**2 + t - 4*t**2. Determine g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1375*t. Suppose -7 = 4*p + m + 11, 0 = 3*p + 2*m + 16. Let o be n(p). What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -2\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5085667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + (-14 - -4) + -12?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-10 - ((-7 - 21) + 5))) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -2788\nAnswer: 585.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + z - 1129975 + 1129979 = 0, -7*y = 5*z - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502000601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 738069\/377755 - 3\/8785. Let h = q + -14659\/86. Let r = -218 - h. What is the common denominator of r and 47\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x = -17*x + 3*x - 183 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8444930.\nAnswer: 2, 5, 13, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 3*u - 24 = 0, 0 = 5*u. Suppose -h = -9 - q. Let m = 136 - h. Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 153*x**2 - 143*x**2 + (-x**2 - x**2 + 3*x**2)*(1 + 0 - 2).\nAnswer: -301*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/72003?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 603*g**4 - 1925*g?\nAnswer: 7236*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 8 = -2*h, -3*h + 13 = -2*q. Suppose -4*j + 5 = -3*j. Let v be (-2)\/(-8) - 19\/(-4). Solve -16 = -v*g + 9, 5*f = -h*g - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17*(-2)\/(-4)*10. Let r = 130 - s. Suppose 2*b - 97 - r = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 26. What is s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/6 - s**3 + 19*s. Determine w, given that l(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2663*w - 10475 = 48111 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17276, 16960, 16118, 14486, 11800, 7796, 2210?\n\"Answer: -44*u**3 + u**2 - 11*u + 17330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 242\/77 + (-18)\/(-21)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2753 = 667. Suppose -o + 217 = -i - i, 5*o = -4*i + t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 394 + 61*v**4 + 6*v**4 - 396 - v as s*v + c + p*v**2 + f*v**3 + o*v**4 and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/72 + m**5\/8 + 5*m**4\/6 - m**3 + 6*m. Let v(b) be the second derivative of t(b). Factor v(r).\nAnswer: -5*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 861, 1292, 1723?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -6, 31, 68, 105, 142?\n\"Answer: 37*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*(-30)\/(-15). Let v be f\/((-3)\/(-12)*-4). Let w(c) = 2*c**2 - 1 - 3*c**2 + 2*c - 3*c. Calculate w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*l = 74, -l - 3*l = 2*b + 176. Suppose -2*g - 5*d = 108, d = 5*g - d + 241. Let r = g - b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose -3*a - l + 22 = 0, m*a - 10 = -5*a + 5*l. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18644 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.622233281 rounded to three decimal places?\nAnswer: -3.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:29 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 132. Let z(l) = -291*l**2 - 13*l + 8. Let c be z(w). Round c to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 - 8*o**2 - 18 - 10*o - 16 + 25. What is u(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34024129 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 + i**3 - i**2)*(6*i + 0*i - 4*i) - 17015*i**3 + 17015*i**3 - 711*i**4)*(-2*i + 2 - 2).\nAnswer: 1418*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50935 divided by 10187.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 28*n - 33. Let t(i) = -i**2 + 19*i + 27. Let d be t(21). Let q be a(d). Sort q, -2, -21 in increasing order.\nAnswer: -21, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-80))\/(12\/40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616a3 (base 11) in base 2?\nAnswer: 1100100100111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**4 - 219*w**3 - 6646*w**2 wrt w?\nAnswer: -24*w - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 44*b**3 + 414*b**2 - 276*b**2 - 92*b**3 - b + 50*b**3 to the form l*b**3 + u*b**2 + k + n*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + n**5 - 7*n**5 + (263*n**4 - 262*n**4 - 24*n - 76*n)*(2*n + 2*n - 2*n).\nAnswer: -3*n**5 - 200*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*s**5 + 0*s - 1\/7*s**2 + 1\/7*s**4 + 0 + 1\/7*s**3.\nAnswer: -s**2*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyj when three letters picked without replacement from {y: 2, h: 2, p: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -84. Solve -v = 2*v - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, t: 10}. What is prob of sequence nn?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*k = -21, -7*k + 6*k = 5*a + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) 1\/3 (c) -15 (d) -569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -369, -556, -743?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126014 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 7*z**2 - 8*z. Let x be l(-8). Suppose 3*j - 3 - 3 = x. Solve -2*s = -s + j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8025 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244813019 to the power of 1\/2, to the nearest integer?\nAnswer: 15647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 38. Let f be w(10). Let u be ((-74)\/(-3))\/(f\/12). What is the remainder when 68 is divided by u\/8 + (-1)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -13*l**2\/2 + 16*l + 12. Let k(o) = 9*o - 11. What is 5*b(c) + 7*k(c)?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times 0.4?\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2284 and 0.04772?\nAnswer: -108.99248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558929.\nAnswer: 2558929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1070*a**2 + 4*a + 40203 wrt a?\nAnswer: -2140*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4443997\/(-6802656) - 18\/(-28).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 + 64*m**2 + 113*m + 45. What is r(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 5. Which is greater: 1\/73 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(120)\/sqrt(4) + sqrt(30)) + sqrt(30))\/(sqrt(800)\/sqrt(5)).\nAnswer: -5 + 13*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 14*p**2 - 2*p + 7. Is v(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 105912, 847274, 2859548, 6778194, 13238672, 22876442, 36326964, 54225698?\n\"Answer: 105910*u**3 - 4*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let d(w) = 7*w + 3. Suppose 5 = -3*z + 11. Suppose -23 = z*p + p - 4*b, -5*b = 4*p + 10. Let m be 2\/8 - (-3)\/4. Determine m*d(y) + p*q(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 736 and 140024?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(40) + (sqrt(4840) - sqrt(40)) + sqrt(40))\/sqrt(4)*-5)\/((-1*sqrt(882))\/(sqrt(90)\/(sqrt(50)\/sqrt(5)))).\nAnswer: -180*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 174971.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 299, 2\/9, -0.2, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbblbbbbblbbblbbbb. Give prob of sequence bbb.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by -4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 33*t + 466. Is 24 a factor of j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 202633.\nAnswer: 81053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38338143?\nAnswer: 3, 19, 461, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/204 and 57\/20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16210*t**3 - 15895*t**3 - 87 + 87.\nAnswer: 315*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/354 and -83\/2815008.\nAnswer: 2815008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 20 = 2*j, -5*j - 45 + 11 = 2*k. Sort -5, 16, -14, k in decreasing order.\nAnswer: 16, -5, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 + 2*l**2 - 1. Let p(o) = o + 10. Suppose 4*w = -0*w + 20. Let a(y) = -2*y - 19. Let r(h) = w*p(h) + 3*a(h). Let i be r(-6). Calculate m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 64.7\nAnswer: 194.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*-2 - -30. Let c = m + -11. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*v + v + 9, 3*p = -5*v - 15. Let i be 11\/(-33) + (-1407)\/(-9). Suppose 3*s - 96 - i = p. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04842 - 0.24842. What is the third smallest value in 0, b, -410?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 19*q - 6. Let j be d(9). Which is smaller: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 85\/(-27))*(10212\/(-184) + 57)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/230 and -107\/258.\nAnswer: 29670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 - 4479*g**4 + 4488*g**3 + 8964*g**2 = 0 for g.\nAnswer: -1494, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - 125881?\nAnswer: -12589a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437998.\nAnswer: 2, 11, 43, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2144083, -2144084, -2144083, -2144080, -2144075, -2144068, -2144059?\nAnswer: -2144048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180 + (-5)\/((-15)\/(-3))?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/4 + o**3 - 5*o**2\/2 + 8. Let g be u(2). What is the units digit of (-48 + 2)\/(g\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.98 - 309.65. Let x = -329 - i. What is x rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p + 0*p)*(91 - p - 91) + (0*p + 3*p + 0*p)*(0*p - p + 0*p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Let u be (33\/(-7) - -5)*1. Let y = -6179 - -6178. Which is the nearest to j? (a) u (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 26 = 4*x, 17 = -2*w + x + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27998981 and 1702.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 8 = -15*z. Suppose 0*u + 5*u - 32 = -z*x, -4*u = 2*x - 22. Sort -1, x, -4 in increasing order.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 9425*x\/2 + 88830625\/4.\nAnswer: (x + 9425)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 24 - (107 + 12 + -19)) + 24.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**10\/5040 + c**6\/36 - 13*c**3\/3 + 12. Let h(g) be the third derivative of y(g). Find the third derivative of h(u) wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, -0.1279, 5, -0.4, 3\/7, 0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 11 (b) -0.4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((60\/(-6))\/(-5))\/98.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1325, 1\/8, 0, 41, 0.4 in decreasing order.\nAnswer: 41, 0.4, 1\/8, 0, -1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a + 10. Calculate the smallest common multiple of 14 and r(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*l + 1 = 0, -4*o - l = -8 - 2. Which is the smallest value? (a) o (b) -5 (c) -0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*c + 271*c = o - 19, 4*o = 2*c - 1 + 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1*t**1\/t assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1356, -2720, -4084, -5448, -6812, -8176?\n\"Answer: -1364*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*(-4)\/(-6). Let o be (2 - 3 - 3)\/2. Let b be 14\/49 + o\/(-14). Do b and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + 93 + -69?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3*r = -4*p, 0 = -3*p + 4*r. Solve p*h - 25 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*y*z**4 + y*z + 164*y + z**4 + 2*z**3 - 14*z + 2 wrt z?\nAnswer: 5256*y*z**2 + 12*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + t)*(-3*t + t + t)*(1 - 5 - 1) + t**2 - 6 + 6.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 730 - 197 + r**3 + 3*r - 186.\nAnswer: r**3 + 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 6*p**2 - 1 - 94*p + 1.\nAnswer: -p**2 - 94*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 95*g - 3 + 103*g.\nAnswer: 198*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153)*-2 - sqrt(153)))\/(sqrt(36)*-4 - sqrt(9)) + (-5 + sqrt(170)\/(sqrt(10) - sqrt(160)) + 2)**2.\nAnswer: 98\/9 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6826 + -6786. What is the remainder when 441 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1))\/(1\/(-2)). Find the first derivative of 0 - 1 + s*u**2 - u**2 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 481 - 1?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139 or -2.767?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1631937097 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, 5 in ascending order.\nAnswer: -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -13*k**3 + 2*k**2 + 4. Suppose -4*y = -4*b - 28, 0 = -2*b + 4*y + y - 26. Is h(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 1. Which is the closest to -1? (a) -4 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66332 and 10?\nAnswer: 331660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*g**4 + 1\/4*g**2 - 1\/2*g**3 + 1\/2*g.\nAnswer: -g*(g - 1)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200900 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 + -4*2\/4. Let l(f) = -8 + f + 6 + 29 - f**3. Let i be l(r). What is the greatest common divisor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124838 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + g + 2*g + (-4 + 3 + 0)*(-g + 3*g + g))*(5 - 4*g**2 + 2*g**2 - 6) to w*g**2 + b*g + c*g**3 + u and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((423 - 433) + -6 + 0) - -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 185067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 579, 5, -1?\nAnswer: 579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 611 + -194. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -19*b**2 - 15*b + 6. Let g(p) = 77*p**2 + 60*p - 26. Let a(z) = 4*g(z) + 18*k(z). Find m such that a(m) = 0.\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 15 = -3*d, 418*d - 421*d = -2*r - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*o, 88*s + 12 = 86*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 109 = 4*w + 4*k, -5*w = 3*k + 140. Let m(r) = -6*r**2 + 2*r + 3. Let g be m(-2). Find the common denominator of w and (g\/20)\/((-1)\/13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a = 4*l - 90, 0 = l - 5*a - 17. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/16129692 and 29\/189.\nAnswer: 112907844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 10*d**2 - 7*d - 8. Let h be b(15). Let n = h + 1873. Suppose 2*k - n = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 10. Let u be (-1 - 0)*(-1 + -6). What is g(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*v + 397*v - 1847*v - 785*v - 404*v.\nAnswer: -2855*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -130. Calculate the remainder when 74 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/3 - 1294*b**2\/3 - 140609*b\/3 - 921200\/3 = 0.\nAnswer: -1175, -112, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 864702766 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453279 by -3.\nAnswer: 151093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/30 + h**2. Let n(j) = -j**3 - 5*j**2 - j - 1. Suppose 26 + 22 = -24*s. What is s*n(o) - 5*u(o)?\nAnswer: 2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117527 or -117517?\nAnswer: -117517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.06. Let a = i - 3.96. Let b = -2\/125 + 272\/1375. Put b, 0.2, a in decreasing order.\nAnswer: 0.2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -494*o**2 + 117*o. Let c(p) = -17*p**2 + 4*p. Let b(v) = 117*c(v) - 4*g(v). Let k(d) = 2*d**2. What is k(b(a))?\nAnswer: 338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i + 16*i - 2*i - 27 + (3 - 3 + 1)*(-4*i + 2*i + 4*i) to h*i + n and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b + 9*b + 2*i - 6, -2*i + i = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103505*m**2*p**2*x - 273*m**2*p + 4*m**2*x - 4*p*x + 2*x wrt p.\nAnswer: 207010*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from -3341200.75.\nAnswer: -3341171.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 5*p)*(-3 + 1 + 1) + 3*p - 22*p - 3*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 21*r**2 + 19*r - 17. Let z be k(-20). Let j be (-16)\/6 - (-5 + (z - 0)). Which is the biggest value? (a) 3 (b) -2\/19 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 158*p**5\/3 - 270284*p**4 + 5650250*p**3\/3 - 4271444*p**2 + 9388952*p\/3 + 82000 = 0.\nAnswer: -2\/79, 2, 3, 5125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u + 3*h - 7, 3*u - 5*h + 1 = 0. Let f be ((-33)\/(-12) + u)*4. Solve -5*b = 15, s + s = f*b + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/(70\/(-8) + (-2368)\/(-296))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 180 = -4*m, -2*n + 7*n - 4*m - 216 = 0. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -161 (b) 2\/15 (c) -0.029 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -94*p**2 - 62*p + 2. Let k(a) = 93*a**2 + 77*a - 3. Calculate -4*k(v) - 5*u(v).\nAnswer: 98*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -44*h**2 - h - 2. Let q be p(-2). Let g = -116 - q. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*j**3 + j + j**2 + 80*j**3 - 100 + 77*j**3 + 10 to a*j**2 + x*j**3 + z + y*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 67*w**6\/3 - 2025*w**2 + 1235*w. Differentiate d(k) with respect to k.\nAnswer: 2680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -3)*2 - 7. Let j be r\/20 - 18\/(-8). Solve j = a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 62*x**2 + 8*x**3 + 2*x**2 + 18*x**2.\nAnswer: 3*x**3 + 82*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 173036, -0.2, -0.1, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*q + 28 = 0, -q - 11 = -2*h - 1. What is the least common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 28 = 4*m, 0*l - 3*l = -2*m - 124. Differentiate -14*k**4 + 44*k**2 + 36 - l*k**2 wrt k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192 + 183. Suppose -2*v = 2*n - 14, 2*v - 4*n = -n + 4. Put v, o, -4 in ascending order.\nAnswer: o, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 15) to base 10\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -629*j**2 + 332*j**2 + 282*j**2. Let o(k) = k + 38. Calculate o(f(r)).\nAnswer: -15*r**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2\/2 - 24*d - 11. Suppose 3*f = 4*b, b = -15*f + 12*f. Give h(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 127 - 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064.148 months in millennia?\nAnswer: 0.088679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 25. Suppose u = 3*q + 13 + y, 0 = -2*q - 10. Let o = -21 + u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5735352 a multiple of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12617685 and 5010?\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -203094, -202919, -202734, -202539, -202334?\n\"Answer: 5*t**2 + 160*t - 203259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 2250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 - 8*k - 1. Let l be o(8). Let f be l*(-8)\/28 + (-212)\/7. Is (-27686)\/(-12) + 5\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 71*i - 66*i. Let n = 1 - i. Let s(x) = x**2 + 10*x + 13. Let b be s(-9). Put n, 3, b in ascending order.\nAnswer: 3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-30))\/(4\/(-291)). Let s = -28\/5 + y. Let q = -25.2 - -25. Which is the nearest to q? (a) s (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-585)\/156*384\/144\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2171524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 6. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 343 and -0.594.\nAnswer: -203.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9709434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 2. Let h be f(0). Let y(b) = 2*b + h*b**3 - 18*b**2 - b**3 - 10*b**2 + 34*b**2 + 7. What is the smallest common multiple of y(-5) and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3061 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 3*t - 2. Let m be p(1). Which is the fourth smallest value? (a) m (b) 0.5 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/((-30)\/(-18)). Sort -0.5, -0.2, b in increasing order.\nAnswer: -0.5, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.27808mg to micrograms.\nAnswer: 84278.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281167771 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h. Let o(z) = 108 - z - 47 - 28 - 31 - 30. Determine y(o(u)).\nAnswer: -15*u - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9) - ((sqrt(99) + sqrt(99)*3)\/sqrt(11) + sqrt(9) + sqrt(9) + sqrt(9) - sqrt(9))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 8*u**2 - u - 14. Suppose -19*c + 21 = -55. Suppose -c = 12*n - 16. Determine h(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -230 + 0*h - 2\/3*h**4 + 4\/3*h**2 + 2\/15*h**5 - 2\/9*h**3. Factor v(x).\nAnswer: 2*x*(x - 4)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 3, t: 5, u: 3, k: 1, g: 1}. Give prob of sequence ttyk.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Let v be (-8)\/12*(-84)\/4102. Let p = 1449\/1172 + v. Put 0.5, f, 3, p in increasing order.\nAnswer: 0.5, p, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37113757 - 21013755. Let o be (-12)\/(-42) + c\/(-7). What is o rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.13026847 rounded to two dps?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/41)\/v*v)\/v)\/v**(-1\/7)*v*v**9*v\/v**11 assuming v is positive.\nAnswer: v**(-232\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 30 (b) -2\/121 (c) -6 (d) 2\/9 (e) -0.4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 86196, 172413, 258664, 344955, 431292, 517681?\n\"Answer: g**3 + 11*g**2 + 86177*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*d*h**3 + d*h*y**2 + d*h - 3*d*y**2 - 24*h**3*y + 2297*h**2*y**2 - 344370*h*y**2 + y**2 wrt h?\nAnswer: -102*d*h - 144*h*y + 4594*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from hauhwhwhhuege.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93052*l**3*v + 11*l**3 + 98*l + v + 5 wrt v.\nAnswer: -93052*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + u. Let i(j) = -2*j**2 - 4*j + 7. Let h(w) be the second derivative of -w**3\/6 + w**2\/2 - w - 56. Let d(c) = u*i(c) - 6*h(c). What is d(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(34)\/(sqrt(8)\/sqrt(4)) - (sqrt(17) - (sqrt(425) + 3) - sqrt(17))).\nAnswer: 6 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 50 = -8*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 589348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1201\/5 - 241. Suppose 52 = z + 46. Suppose -9*d - z = -3*d. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1818 + 577. Let h = -13642\/11 - x. Find the common denominator of (20\/(-8))\/(3\/24*11) and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3471 + 1154 - 790 + 3261 - 1219)*(-4*q**2 + 4*q**2 - 2*q**3).\nAnswer: -11754*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 0.3 (c) -58 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 11:16 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - v + 1. Let f(l) = 4*l**2 - l + 2. Suppose -58 + 243 = 37*u. Determine u*p(m) - 4*f(m).\nAnswer: -m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 - 4*k - 1. Let q = 9 - 5. Let y(t) = 3*t**2 + 3*t + 1. Suppose -5*s + 8 = -17. Suppose -s*a - 2*a + 21 = 0. Determine a*w(b) + q*y(b).\nAnswer: 3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-3)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515977 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1449)\/(-115))\/(-21)*13430\/102.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2198*a**6 - 33*a**5*q**3 + 2*a**2*q**3 + 143142*a**2*q wrt a?\nAnswer: -263760*a**3 - 1980*a**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -43. Let p = 999.33 + -1045.3. Let u = q + p. Are 3 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778806481.\nAnswer: 131, 28845851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.59 - -15.3. Let o = -0.29 - w. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Let u(t) = -2*t**2 + 5*t - 4. Let w be u(c). Let h(x) = -4*x - 4. Calculate the remainder when h(w) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-619 - 6782 - 3931 - 6784)*(2 + 2 - 3)*(-5*r**2 + 4*r**2 + 2*r**2).\nAnswer: -18116*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 9. Let o be r(-10). What is the hundreds digit of (-766)\/(-8)*4 + 4*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 25)*(-780)\/(-80). Let m be (4\/6)\/(52\/z). Put m, 0, -2, 15 in decreasing order.\nAnswer: 15, 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + g + 52 = 0, -l + 26 = g + 2*g. Let k = 15 - l. Suppose -f = -1 - k. Calculate the smallest common multiple of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4229\/11 + 12709\/33. Let i be (1\/(-2))\/1 - 1. What is the closest to 2 in r, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.22 - -0.8.\nAnswer: 7.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2 + 3*s + 2. Determine d(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**5\/20 + 5*w**4\/12 + w**3\/6 - 3*w**2 + 409336*w. Let g be 6\/(-2)*4\/(-6). Let u be g\/(-4)*-2*5. Give q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*k*o**4 + k*o + 3*k + 359*o**4 - 392 wrt o.\nAnswer: -144*k*o**2 + 4308*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2757 - -2759. Suppose -4*v + 5*m = -6*v + 23, 2*v = -4*m + 22. Let g be 42\/(-49)*(-2 + 9)*-1. Solve -5*a + 4 = -j - g, v = -f*a + 3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 2*z**2 - 3*z + 28. Suppose q + 2 = -v, -10 = -4*q + 10. Let k be c(v). What is the highest common divisor of k and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60, 230, 506, 882, 1352, 1910?\n\"Answer: -m**3 + 59*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - n**2 + n**2)*(2*n - 2*n - 2*n**2) + 0*n**2 + n**4 + 0*n**2 + (0*n**4 + 2*n**4 + 2*n**4)*(-1 - 5 + 2) + 2 - 2 + 4*n**4.\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579 = -83*z + 276*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020285866 to five dps.\nAnswer: -0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*g**2*x**5 + 31*g**2*x**2 - g*x**5 - g*x**2 - 5*g wrt x?\nAnswer: -11940*g**2*x**2 - 60*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-98) - 3\/(-7). Let r(m) = -40*m + 1. Let t be r(x). Let z = -14 - t. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + 2 + sqrt(304)*-1))*-3 - 1*3*(sqrt(2299) + -2))**2.\nAnswer: -1080*sqrt(19) + 38619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1531 - 307 - 656 + 70 - 83)*(2*k + 0*k - 5*k).\nAnswer: 7521*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -91. Suppose -c + z = -2*c. Let g = c + 37. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(26)\/sqrt(2) + sqrt(13))**2 - 4*sqrt(13)*1 - ((sqrt(832) + 0)*-1*-1)**2.\nAnswer: -783 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -4, -43.\nAnswer: -43, -4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 11, 0.1.\nAnswer: 0.1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1428164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4708 - 0.2\nAnswer: -0.6708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26838, 53696, 80554, 107412?\n\"Answer: 26858*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/26244182 and -69\/23620?\nAnswer: 262441820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(14\/3))**(-45)*((x\/(x**1\/x)*x*x)**(2\/35))**(-49) assuming x is positive.\nAnswer: x**(-1092\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23444459 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -5 (c) 1\/35 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let j be r(9). Let i(k) = -k**2 + 7*k + 8. Let p be i(j). Let n(g) be the third derivative of g**4\/24 + g**3\/3 + g**2. Determine n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, -1\/6, -67?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.11, -0.6032, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5480)\/(-35072)*224\/40\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 23*r**2 - 55*r - 460. What are the prime factors of z(-27)?\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92036 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 1. Let k be m(2). Let v = 637 - 565. What is the greatest common divisor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -263107?\nAnswer: 1\/263107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11016)\/144*42\/63.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 9:55 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000137712 to six dps.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*q = -29 - 26, 3*o + 3*q = 21. Suppose -11*t = -2 + 2. Suppose 36 = 6*n - t*n. Calculate the smallest common multiple of o and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -o - 32*x - 436, -19*x + 13*x - 100 + 2 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 3:16 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5\/5 - 5784*g**4\/5 - 2336496*g**3\/5 - 35716768*g**2 - 904289280*g - 7354944000 = 0.\nAnswer: -678, -50, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.878, -1, -77\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442 - 247 = 62*s - 854 - 625 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, k: 6, p: 3, u: 6, i: 2}. Give prob of picking 2 i and 2 k.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/24 - i**3\/6 - 10*i**2. Let u(b) = 6*b - 4. Let h(l) = u(l) - 4*z(l). Let o(j) = 29*j. What is h(o(m))?\nAnswer: 58*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052847 rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165862476 divided by -484978.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**2 + 369*k**2 + 57*k**2.\nAnswer: 321*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/3 - 61. Let d(a) = 20*a**2 + a. Calculate d(s(w)).\nAnswer: 20*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (144*-1250)\/(4\/128*-2). Round f to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 21 = 54. Let d = -32 + 60. What is the remainder when d is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730918.\nAnswer: 2, 7, 123637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 35 = 3*p. Let a be (-2)\/12 + (-39)\/p. Let v(b) = 0*b**2 + 0*b**2 - b**2 + 0*b**a. Let c(y) = 2*y**2. Determine v(c(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398160?\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-18) + (-2)\/3)*-332. Let o = n + 165. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:56 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14077 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44481800.\nAnswer: 2, 5, 11, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18349 - -18392. Calculate the remainder when 80 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 17*g**2 + 2*g - 33. Determine c(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*c = 21, 19*y + 2*c - 12 = 20*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08383 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 - 1. Suppose -169*m = -175*m + 24. Let o(l) = -12*l + 20*l - m*l. Determine o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 343?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97\/9 + 11. Let r(j) = -31*j**2 + j. Let g be r(1). Let x be (4\/g)\/((-12)\/54). What is the nearest to -5 in x, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296006 and 36046?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -1\/8 (c) -10714 (d) 5 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**9\/1512 - d**8\/420 + d**6\/90 + d**5\/60 - d**3 + 1. Let i(p) be the third derivative of r(p). Find x such that i(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17358 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(1088)))**2 + -6*((sqrt(187) - (2*sqrt(187) - sqrt(187)))\/sqrt(11) - sqrt(17)).\nAnswer: 6*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/1219 = -0.597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14885 or -15027?\nAnswer: -14885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 80435451 to the power of 1\/2, to the nearest integer?\nAnswer: 8969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 2*p)*(-3 + 2 + 2) - 2*p + p + 3*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000314419262 rounded to seven decimal places?\nAnswer: -0.0003144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -4678795004.\nAnswer: -4678795004.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4097*k + 4. Let i(d) = -28*d + 3. Calculate i(j(v)).\nAnswer: -114716*v - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49431 is divided by 24257.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18500 + -7874. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795 + 180 - 10*v - 163 + 504.\nAnswer: -10*v + 1316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -d + 1105 - 1101, 2*m - 10 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = -b + 7*b + 26 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-682) + (-73112)\/(-1178) + -62?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*n - 31 = -11, 5*n + 20 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - -244) + 19\/((-190)\/(-40)) and 117.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/4, -1\/4, 7, -28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253864 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j - 11. Suppose 4*l + 5*o - 8 = 0, 0*o = -2*l + 4*o + 4. Suppose -l*k + 15 - 5 = 0. What is the tens digit of h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - q - 1. Let g be m(-3). Let n be -1 - (-45)\/25 - (-292)\/10. Calculate the highest common factor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334 is divided by 133.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.08 rounded to 1 dp?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/65 + 5\/(50\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12166436 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -1142 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 6*h - 27 + 53.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 81526545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/52 + -113\/468. Let w = 9.5 - 10. What is the second biggest value in d, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 463 (base 13) to base 4\nAnswer: 23311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -38.05. Let v = n - -0.05. Are v and -3\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 61.3. Let l = -3 - -3.3. Let z = w + l. Which is the third biggest value? (a) 3 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*f = 144, -3*f + 117 = 5*y - 63. What is the least common multiple of y and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53974232983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 2. Let m be d(-2). Suppose 2*q = -5*l - 2*q + 156, -2*l = -3*q - 67. What is the greatest common divisor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1.40235327216?\nAnswer: -1.20235327216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116068809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 6*o + 5. Let w be l(4). Let k = w + -21. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6952 less than -674260?\nAnswer: -667308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 158*w - 29. Let b be (-16)\/(-3) + (26\/(-3))\/(-13). Is m(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 23*q - 190 + 507*q**2 - 248*q**2 - 248*q**2. Is r(7) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + 31*k + 389. List the prime factors of j(32).\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13512 - 3672. Is 60 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((3 - 3) + -8)*3\/(-4). Suppose n*j = 9 + 237. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10476, -41965, -94358, -167583, -261568, -376241, -511530?\n\"Answer: 12*n**3 - 10524*n**2 - n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1022210 (base 5) to base 4\nAnswer: 10030130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 654895*d*y**2 - 186203*y**2 wrt d?\nAnswer: 654895*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-639)\/(-13206))\/((54\/(-4))\/3)*-3.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54189412.\nAnswer: 2, 13547353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -846, -1251, -1640, -2007, -2346?\nAnswer: -2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905709762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*y + 21. Let d(s) = 2 - y - s**2 - 3*s - s. Determine d(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -203772, 3, 26 in decreasing order.\nAnswer: 26, 3, -203772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 - 2?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -991, -1982, -2973, -3964?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -74. Let y(q) = 4*q + 75. Let g be y(-19). Is 7 a factor of (g - 2) + (b - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.33 decades in years?\nAnswer: 6443.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/15)\/((-14)\/(-63)*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f**2 - 425770*f + 3966248.\nAnswer: 10*f - 425770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u. Suppose -6 = y + 2*y - 4*k, 13 = 2*y + 3*k. Let f(d) = -9*d + 1. Give y*f(s) - 5*o(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4 + 14. Let t be (10\/8)\/k - (-344)\/1120. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36 and -53\/740835.\nAnswer: 740835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000834961 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011110110 - -10101010111?\nAnswer: 1110001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59\/2 in 2, -2\/11, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1. Let i(v) = 3*v - 50. Let z(o) = i(o) - p(o). Is 12 a factor of z(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917915 a multiple of 1055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(y + 4*y - 3*y) + (-12 - 4 - 43)*(3*y - 3*y + 2*y) + 4 - 4 - y to the form g*y + z and give g.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1298 - 278 = 0. Let c be ((-1)\/(-3))\/(1\/l). Suppose 298 = 3*z - 2*x, -4*x + 528 - c = 5*z. Calculate the highest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -127689, -255296, -382823, -510270, -637637, -764924, -892131?\n\"Answer: 40*d**2 - 127727*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 3*u - 2. Let r be o(-2). Let p be 88\/(-14)*14\/r. Suppose 0 = d + g - 4*g, 4*g + p = 5*d. Solve 2*x + x = -d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 3*v + 4*v + (-19 - 4 + 1)*(2*v + 0*v + 0*v) + 7*v - 3*v - 3*v - 4*v + 3*v + 2*v as q + n*v and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - v**2 + 0*v**2 + v**2 + v**2 + (-4*v - 2*v + 7*v)*(2*v + 0*v + 0*v) + (13*v - 53*v - 31*v)*(-1 + 2*v + 1).\nAnswer: -139*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 56 = -2*u. Suppose 4*l = 2*l + 32. Calculate the least common multiple of l and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n - 1. Let r be w(2). Let s(l) be the third derivative of l**4\/24 + l**3\/2 - 15*l**2. What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9381 is divided by 4685.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6011, -6018, -6027, -6038?\n\"Answer: -r**2 - 4*r - 6006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 252, 533, 918, 1401?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(2*-1). Suppose -3*m + 3 = -15. Suppose -20*c = -17*c - m. Solve j = c*o - 4*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 26 = s - 39, v + 3*s - 35 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120888 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 1986*h**3 - 337296*h**2 - 2438120*h - 3511200 = 0.\nAnswer: -1140, -5, -2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = n - 21, 5*c + 3 = -3*n - 2. What is the second biggest value in 5, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2506.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*h - 32 - 24, 0 = 4*h + 3*l - 52. Solve j + 3*v - 4 = h, 3*v - 35 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -15. Let z = o + 73. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1077, -1071, -1061, -1047, -1029, -1007, -981?\n\"Answer: 2*l**2 - 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001446272833 rounded to six dps?\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*g + 2*f + 23, -2*g = 5*f + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -18619167.\nAnswer: -18619177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -1\/3, -4 in increasing order.\nAnswer: -4, -3, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -12. Suppose 3*i - 2*r = 2*r + 444, a = -4*r. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let x(a) = 138041*a**2. Give k(x(h)).\nAnswer: 276082*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 59. Let q be g(8). Which is the smallest value? (a) q (b) 15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3383.994 days?\nAnswer: 292377081600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26914 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.578187 + -0.262008315?\nAnswer: -0.840195315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -251 + 359. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -45, -100, -173, -270, -397, -560, -765?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 229.9 and 1111.\nAnswer: 1340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -682449.957 and -9.\nAnswer: -682458.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 171493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6367113*h + 8706116?\nAnswer: -6367113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16600259 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 1, -2, -25.3, 0.3, -0.02?\nAnswer: -25.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:44 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0088765 to three dps.\nAnswer: -4.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from {m: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*k - 4*k - 5 = 0, 4*v + k = -5. Let n(b) be the first derivative of 1\/4*b**2 - 1\/16*b**4 + 1\/12*b**3 + 1 + v*b. Solve n(m) = 0 for m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3*l - 23, l - 1666 = -w - 1675 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 - 102*k**2\/7 - 702*k\/7 - 86.\nAnswer: -2*(k + 1)*(k + 7)*(k + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*t**5 + 0*t**4 + 0*t**4) - 2*t**5 + 0*t**5 - 3*t**5 + (5*t**4 - 2*t**4 - t**4)*(-3*t + 3*t - t).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 52?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2 + 40890*a + 41679428 = 0?\nAnswer: -973, 21418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 511487526 to the power of 1\/3, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19352526023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 2*s - 1. Let l(t) = 6*t**2 + 10*t - 9. Let k(x) = -l(x) + 5*n(x). Give k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/1147795 and -67\/1435.\nAnswer: 8034565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1495, 1441, 1387, 1333, 1279?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 21*z**2 + 23*z + 51. Let w be x(-12). Suppose 2*p + 2*p - 552 = 0. Calculate the highest common divisor of p and w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*y + 3*y + y)*(-3*y + 2*y + 0*y + 3 - 3 - 2*y - 4*y + y + 2*y + (-1 + 1 + 2)*(-y + y + y) + 0*y - 3*y + y - 4*y + 5*y - 3*y).\nAnswer: 12*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2953623 - 2954307 = -36*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*h + 9. Let c be ((-54)\/h)\/(-1)*4. Suppose 4*p - c + 3 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 12965000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 3.2 (c) -4 (d) 1\/4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 473, 483, 511, 569, 669?\n\"Answer: 2*f**3 - 3*f**2 + 5*f + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 33*l - 5. Let k be g(8). Suppose 0 = k*d + 54 - 42. Let m(b) = -5*b - 7. Is 3 a factor of m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.424 in -5, 1\/4, -1.89, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 2*o - 1\/24*o**4 + 0*o**2 + 0*o**5 + 1\/360*o**6 - 1\/6*o**3 + 0. Let g(s) be the second derivative of c(s). Factor g(y).\nAnswer: (y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0 - 2 + 0)*(3*y - 3*y + 7*y**3).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 35. Suppose 11*n = x*n + 1096. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1452 divided by 44\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q + 3. What is v(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/1 + 154)\/((-21)\/(-14)). Let l be -3 - (f\/(-15))\/((-1)\/(-5)). Let g(w) = -33 - l + 64 - 2*w. Let k(b) = 30*b**2. Calculate g(k(r)).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001550222 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7))\/(i**(-21)*i*i*i))\/(i**(4\/11))**(1\/4) assuming i is positive.\nAnswer: i**(285\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/13, -4, 6, -17043, 4\/7?\nAnswer: -17043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*a + 130302 = 0, 3*s - 4*s + 4*a = 65142. Let i = 782695\/12 + s. Let b = i + -281\/6. What is the common denominator of 83\/6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5 + 4*k**2 - 3*k + 7*k + k. Let b be (-1)\/5 + (-217)\/(-35). Let w(c) = -c + 6*c + 5*c**2 - 2*c - 6 + 3*c. Calculate b*s(d) - 5*w(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -8.8, 12, 0.5, 2\/11, -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x - 1. Let h be w(7). Let m(j) = j**2 - 6*j. Let k be m(h). Factor -1\/4*n + 1\/4*n**2 + k.\nAnswer: n*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.5 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z + 5. Let p(y) = -y**2 - y - 1. Let a(t) = -m(t) - 4*p(t). Give a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + q)*(4*q - 3*q + 3*q) + 3*q**2 - 6*q**2 + q**2 - 1 + 1 + q**2 + (2*q + 2*q - 3*q)*(2*q - 4 + 4).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(-3)\/((-18)\/(-39)). Suppose 3*n - 4*h = n + a, -5*n + 109 = -3*h. What is the remainder when 137 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*q + 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 78 - ((-1095768)\/532)\/(-27)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -396, -592, -788?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.5 or 4.3?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 1365?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 7 + 463*b**2 + 2*b + 2 + 841*b**2 + 2*b in the form x*b**2 + h*b + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3443, 36 in ascending order.\nAnswer: 0, 36, 3443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by (10\/6)\/(402\/(-54) - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 7. Let c be j(5). Suppose c*d = -d - 1104. Let r = 263 - d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 7*o + 28*o + 10 + 15*o + 4 in the form l*o + i and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-56)\/6)\/(42\/(-315)). Let w(h) = h**3 + 4*h**2 - h - 8. Let q be w(-2). Let v be (q - -12)*(5 - 3). What is the greatest common divisor of p and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 9:00 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 16}. What is prob of picking 3 f?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 11. Let g be u(-5). Let j be (4\/g)\/((-18)\/81). Suppose 0 = j*l + l - 36. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -155*s - 7. Let c(m) = 2*m. Give c(g(k)).\nAnswer: -310*k - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*j - 1422*j + 13*j**3 + 474*j + 473*j.\nAnswer: 13*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from yzzzyyyzzyzzzzzzzzz?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*u + 79 = 0, 0 = u - 1 + 5. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3\/7, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 830 = -7*t. Suppose 3*i - 2*p - 180 - t = 0, 2*i - 4*p = 228. Is i a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 26, -4, -0.3, -3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1)\/(2*-1)*(-33)\/(-110)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*((-24)\/(-6))\/(-16).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(-2 + 2 + 2*y**2) + 3*y**2 - 2*y**2 + 0*y**2 + 19 + y**2 - 19 in the form h*y + b*y**2 + m and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -26*d - 3 - 9*d + 10*d + 15*d. Let y(n) be the first derivative of -4*n**3\/3 + 1. Calculate h(y(x)).\nAnswer: 40*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 96*q + 489, 2*q = 40*m - 79*m + 42*m - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8278 + -22d7?\nAnswer: -a571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 344106.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4, 6*r - 4*r - 2*c - 30 = 0. Let v = 17 - r. Solve -2*s = b - 6, -15 = -v*b + 2*s - 7*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 23*v = -22*v - 16 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2436*277.\nAnswer: 344.4772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 3. Let g = -13 + 16. Let s(l) = -g + 3*l + 7 - 7*l + l. Give -5*o(x) - 4*s(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (1*sqrt(18))\/sqrt(2)) + sqrt(729)*-2)\/(sqrt(9)\/((sqrt(54)\/sqrt(3))\/sqrt(6))).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2119417\/36 + 58869. What is the common denominator of -37\/18 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 33*w**2 + 337*w - 2090. Determine f(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 2. Let v = i - -10. Suppose v*w + 24000000 = 2*w. What is w rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4162.\nAnswer: 20810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -j + 2*j. Suppose -7*f = -27 - 8. Suppose 3*r - 4*x - 199 = 0, 5*r - f*x - 37 - 298 = 0. What is the remainder when r is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3039)\/((51\/(-340))\/((-3)\/(-6))) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1886466 (base 9) in base 5?\nAnswer: -232423304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o - 232719651 + 232718444 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s - 5. Let p be h(4). Let d be 0 + (-3 - 0)\/p. Solve -d*r + 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -132, 0.2, 0 in ascending order.\nAnswer: -132, -0.3, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + -3 + (-79)\/(-1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015340051 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 133900?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 27, 5, -136 in increasing order.\nAnswer: -136, -4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*l - 39088 - 14442 = 12417 + 17747 for l.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*l = -38, -3*j - 2*l - 2*l + 51 = 0. Let z = j - -1. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqxqzqbzqqxqqqqqqq. Give prob of sequence xq.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**5 + 0*w**5 + 105*w**5)*(-3 + 5 - 4 + (2 - 4 + 0)*(-2 + 1 - 1)).\nAnswer: 198*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 13, g: 1, t: 3, j: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in 11.3, -0.1, -652?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 582660000 = -8*r. Let w be (-1*(-6)\/9)\/(2\/r). What is w rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 7, e: 1, x: 1, d: 3}. What is prob of sequence dcpe?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -9) + (-1 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i = 230, -4*b - i = -97 - 87. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 672 + -389. Let v = d - 152. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -18 + x**3 - 6*x**2 + 32 + 12*x - 16. Determine r so that v(r) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3142 + -25079\/8. What is the common denominator of x and (-24)\/27*(-6)\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y, -3*s + y + 130 - 41 = 0. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a (base 12) to base 16.\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -281, 4 in increasing order.\nAnswer: -281, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364661 is divided by 14886.\nAnswer: 7397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*a + 9 = -2, -3*k + 13 = -a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s - 83497 = 2063. What are the prime factors of s?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.3, -4\/3, -2\/9, -6\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00282630458 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*q + 245*q + 16677 = 651*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*d + 70*d - 7*d - 9*d in the form q + i*d and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2811671\/165554 - 1002\/59. Let u = 5721\/305854 - g. Which is smaller: u or 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 4, q: 1}. Give prob of sequence nnn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 5. Let q be z(-10). Let a = -19 - q. Find the third derivative of -9*l**2 - 1 + 1 - 5*l**6 + 6*l**a wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 2, c: 1}. Give prob of picking 1 c and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xoldlollllloxllloll.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/7416 and 75\/208.\nAnswer: 192816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s. Suppose -2*o + 5*v - v = 0, 3*o + 2*v = -8. Does s = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3\/349 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**3 - 3501*v**2 - 979011*v - 61887507 = 0.\nAnswer: -121, 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 53*c**2 - 83*c - 28. Let b be j(28). Suppose 3*i + 2*p - 17 = 13, 2*p + 26 = 4*i. Let l be (1\/(-13))\/((-4)\/i). Is l > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) + -1*sqrt(81)*2 - sqrt(81)) + sqrt(81) - sqrt(81))*-5)\/((-1*sqrt(72))\/(sqrt(6)*-2*-2 + sqrt(6))).\nAnswer: -75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 33113*f. Let y(z) = -5*z + 1. What is y(l(u))?\nAnswer: -165565*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 83. What is the lowest common multiple of a(-14) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 82*k - 96. Let c be 121\/((-5082)\/168)*(-10 - 0)*-1. Calculate f(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhdishhsiihidh. Give prob of sequence shdh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 171 = -f. Suppose -145 = 5*t + 5*w, -5*t = -8*t - 4*w - 89. Let v = t - f. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -405 (b) 1\/11 (c) 8 (d) -8 (e) -4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049925 rounded to 5 dps?\nAnswer: -0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/918 and -101\/7773012?\nAnswer: 23319036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 587.3 (c) -0.5 (d) 3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232\/13 - -1843\/104. Let v = -1051\/5 + 211. What is the nearest to v in n, -3, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 32296*t**3 + 133611528*t**2 - 25942418624*t + 51350649472 = 0.\nAnswer: 2, 202, 7972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 9*u - 13*u. Put u, 363, -1 in decreasing order.\nAnswer: 363, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*t + 7*t. Let g = 69 - t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 2*k - 268. What is the units digit of k\/212 + (-2310)\/(-8) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001460247256 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 1 + 1)*(-1 + 2 + 3 + (-2 + 4 + 0)*(3 - 2 + 0)) as a*b + f and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 20*i. Suppose 5*r - 75 - 105 = i. Suppose -r - 52 = -4*b. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1278.9, 2\/5, 1\/2, -0.4, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 18. What is w(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, 10, 7\/1377 in increasing order.\nAnswer: -1, 7\/1377, 2\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxzuzuuzxuuu. What is prob of picking 2 u and 2 z?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 2\/17, 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -0.2, -24\/79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9693 = 2547. Is 3060 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40103688 a multiple of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + k**2 + 0*k**3 + 5*k**3 - 2 + k**3 + 2 + (3*k - 1 + 1)*(0*k**2 + 4*k**2 - 3*k**2).\nAnswer: 5*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8481*u - 3150 = 8391*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and -137\/1190.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, 1299, 105, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50685 and 5662005?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 5252408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 12*f - 81855. Suppose -6*h = -h - f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let a be 5*(2 + i - -103). Suppose 5*m - 5*w + a = 0, -4*m + 2*w - 408 = -3*w. Round m to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 46. Let u(y) = y**5 + y**3 - y - 1. Let s(k) = -5*k**5 - 30*k**3 + 20*k + 30. Let n(d) = b*u(d) - s(d). Find the second derivative of n(v) wrt v.\nAnswer: -500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 2*p**6\/135 + p**5\/15 - 40*p**4\/27 - 345*p. Determine d, given that w(d) = 0.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 109*x**2 - 126*x - 1621. Give y(-110).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -312, -346, -378, -408, -436, -462?\n\"Answer: v**2 - 37*v - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2))\/(6\/(-6) + 2). Let h be (-1)\/(1 - 0\/(-2)). Let j be h*(0\/1 + -1). Which is the nearest to d? (a) j (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6879180871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/869 and 43\/9?\nAnswer: 7821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 - 2. Let h be s(2). Let k be (2 + h\/3)*1. Solve -2*i - k = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/(2\/(-10)). Suppose 4*z - w - 1 = 3, 12 = -g*z - 3*w. Is -2 + 163 + 0 + z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -47. Suppose 0 = -4*r - l - 12. Let z be (-3)\/r*-4*-30. What is the greatest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*v**4 + 2960*v**3 - 2365*v**2 - 510*v = 0. Calculate v.\nAnswer: -3\/17, 0, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 9 + 0 - ((1 - 8) + 20)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 4*r**2 - r**2)*(-5*r**2 + 2*r - 3*r**2 - 4*r**3 + 3*r**2).\nAnswer: -8*r**5 - 10*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -269, -427, -583, -737, -889?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46736317 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (543*s - 543*s + 28*s**2)*(-11*s - s - 2*s).\nAnswer: -392*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 5439.\nAnswer: 4\/5439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10*l - 33 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) - 174\/(-21). Let y be 82\/o + (-3)\/12. What is the highest common factor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3477040 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7438*g*l**2 + 386032*g + 22*l**2 wrt l.\nAnswer: -14876*g*l + 44*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. What is the units digit of s\/4 + (-185)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -120*i - 114. Suppose -3*f - 48 = 9*f. Let w(v) = -40*v - 38. Let m(x) = f*r(x) + 11*w(x). Differentiate m(g) with respect to g.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + -133 + (-342)\/(-21)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4885 is divided by 1620.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, -45, -171, -357, -609, -933, -1335?\n\"Answer: -i**3 - 21*i**2 - 2*i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12355 + 18451. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.031, 1\/13, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/72 - w**3\/18 + w**2\/12 - 6*w. Suppose l(b) = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/225)\/((-3)\/(-30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:40 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1812392 is divided by 258884.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-33440.5.\nAnswer: -167202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:47 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -300332, -600666, -901004, -1201346?\n\"Answer: -2*s**2 - 300328*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 15 = -6*u + x, 2*u - 5*x - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 13 - 13 + 3*b - 4*b + 2*b + b + 0*b + b + (1 - 1 - 2*b)*(2 - 1 + 0) - 2*b + 3*b + 0*b as j*b + w and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -18, -4, 6, 6, -10, -48?\n\"Answer: -g**3 + 7*g**2 - 2*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6883 + 11651 - k + 1635.\nAnswer: -k + 20169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1172646 days in hours?\nAnswer: 2.8143504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/176 and -79\/38280.\nAnswer: 76560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 + 2*n - 1. Let f(m) = -189*m**3 + 340*m**2 + 8*m - 4. Let u(d) = -f(d) + 4*j(d). What is the third derivative of u(z) wrt z?\nAnswer: 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5586 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*q - 29*q**5 + 33*q**2 - 10*q wrt q.\nAnswer: -1740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/(1\/(-6)). Solve 5*n - h*t + 10 = 2, 0 = -5*n - t + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132722*q - 132682*q - 1280 = 0 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2) - -3*sqrt(98)).\nAnswer: sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 14*x + 2*l = -10, -5*l = 2*x - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*t = -1941 + 137 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -351140528 or -351140531?\nAnswer: -351140528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o + 5255 - 5180, -27*j - o = -25*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4)*-3*4. Let h = -2\/105 + 323\/420. Suppose 3*s = -5*x - 18, -3*x - 6 = -s - 2*s. Sort s, m, h.\nAnswer: m, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhrhqhhhqhhhhhhhq. What is prob of sequence rh?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q\/(q**(-24)\/q)))*q*(q\/(q\/q**(-25)))\/q assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*b - 5*g = -468*b + 16, 0 = -2*b + g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -146 + 7\/((-7)\/5). Let w = -131 - g. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*g - 127 = -118, -5*g = -30*z + 140 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520368 and 173456.\nAnswer: 520368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h)\/h*h)**(-5\/2))**5\/((h\/(h\/h**2)*h)**(32\/3))**(1\/3) assuming h is positive.\nAnswer: h**(-289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, 2\/21, -1 in descending order.\nAnswer: 4, 0.1, 2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 20, -2\/3, -3762, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -54, -5, -75 in decreasing order.\nAnswer: 0, -5, -54, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = 3, 0 = 3*p + a - 19. Suppose -p*h + 60 = -11*h. Let r = h - -26. Calculate the highest common factor of 112 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.439.\nAnswer: -0.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340123385?\nAnswer: 5, 7, 9717811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -52, 4.\nAnswer: -52, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.026 - -0.016. Let z = 0.19 - t. Which is the third smallest value? (a) z (b) 1 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 94, 94, 78, 40, -26, -126?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 + 2.79954. Round m to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -20. Let l be 76 - 74 - (-3 - -1 - (1 + -2)). Solve z*h = 14*h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8\/465 (b) -0.4 (c) -47.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:42 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12029 (base 10) to base 11\nAnswer: 9046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1058 - -1057. Which is the second biggest value? (a) i (b) -2 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4743865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 6.1\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 71, 0.321?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 568038*w*y**3 + 12285*w*y**2 - 9*w wrt y?\nAnswer: 3408228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50 * 0.4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00159 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/12689 and 91\/79788432?\nAnswer: 79788432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:30 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-44288)\/(-6))\/8 + 3\/9. Calculate the greatest common divisor of 142 and s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -305140 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17480 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*n - 125, -8*n + 5*n = -3*z - 93. Calculate the least common multiple of n and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 160. Let l be c(33). Calculate the greatest common factor of l and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114576?\nAnswer: 2, 69661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 6*h**2 - 15*h**2 - 28*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:41 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4648, 19047, 43194, 77089, 120732, 174123?\nAnswer: 237262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1 (b) 33 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157916303*d**3 + 76679246.\nAnswer: 473748909*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 17 + -35 - (0 + (-61 - 2))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 2 - (84 - 88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4046 + 4146.1. Which is the smallest value? (a) -5 (b) -3 (c) -1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 4*y - 202, -5*j = -y - 314. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30798613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149631 + -42925. Suppose 0 = -2*r + 11294 + k. What is r rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0.2, 1, -34?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o - 9. Let v be -2*10*(-1)\/(-4). Is z(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10087424 + 10087424.5109491. Let t = i - 0.511. What is t rounded to 6 dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsusdudwnnwnng. Give prob of picking 1 g, 1 s, and 2 w.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 35) + (2 + -5 - -18 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 19. Let l(a) = 7*a**3. Let v(u) = u**3. Give t*v(w) - 2*l(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 4445?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*u**2 - o*u + o - 17*u**3 + 16*u**2 - 1687*u + 1 wrt u?\nAnswer: -2*o - 102*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from jgp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 4 + sqrt(245))**2 - -3*-3*sqrt(5).\nAnswer: 103*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from oossooso.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 7:36 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 22. Let v = -6 - x. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128173 is divided by 72?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b9c56c + 4?\nAnswer: -1b9c568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4753235*w. Let z(t) = -t. Determine z(l(u)).\nAnswer: 4753235*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/8309 + 24929\/16618. What is the smallest value in 3, 1, 0.02, 0.5, x?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3344 + 9814. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 62\/7, 1\/3, 5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7477685 - 2*w - 7477685.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + -22?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = 5060 - 4255 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 108\/(-72) - (-25)\/7 and -127\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2 - 7 + 33*k**3 - 2*k**2 - 11*k**3 + 0*k**2 wrt k?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 3*d**2 - d**2 + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 3\/2, 1\/25, -5 in decreasing order.\nAnswer: 3\/2, 1\/6, 1\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000146421 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 233\/3. Which is the third biggest value? (a) 2 (b) p (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8567, -16991, -25275, -33425, -41447, -49347?\n\"Answer: -c**3 + 76*c**2 - 8645*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28707 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70740570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.4 + 1.3. Let s = -0.4 + l. Let t = 5 + s. Sort -5, 1, t.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Suppose 3*a = -4*f - 1, -3*f - 2*a - y = a. Solve -o = -4*v + f, -v = -3*o - 2*v + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 36, 6\/13, -1\/10, 1\/2, -10 in decreasing order.\nAnswer: 36, 1\/2, 6\/13, -1\/10, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**4 - a**3 - a - 1. Let w(q) = -19*q**4 + 2*q**3 + 20*q + 2. Let o(z) = 2*i(z) + w(z). What is the second derivative of o(k) wrt k?\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28890 divided by -30\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27627161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1236*k**4 - 16*k**2 + 18*k + 37. Let j(n) = -824*n**4 + 10*n**2 - 12*n - 25. Let a(m) = -8*j(m) - 5*l(m). Find the second derivative of a(w) wrt w.\nAnswer: 4944*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = 2. Let o(n) = n**3 + 2*n - 6. Let y be o(0). Is a bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2075225606 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssns when four letters picked without replacement from snsngxsnxgsn?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 40351437?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955626 is divided by 103.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43a60611 + 5?\nAnswer: -43a60609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 73 - 95 = 0. Let u = j - 80. What is the greatest common divisor of u and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 28*c**2 + 42*c + 8. Is f(-31) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusspsusupushps. What is prob of sequence up?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92889550, 92889554, 92889560, 92889568, 92889578, 92889590, 92889604?\n\"Answer: u**2 + u + 92889548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 12*w**2 - 12*w + 5. Is 16 a factor of g(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69.2 + 72.23. Let m = d + -0.03. What is the biggest value in 0.3, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (228*9\/36)\/((-18)\/(-18))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43590, -87173, -130756, -174339, -217922?\n\"Answer: -43583*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3*q + 7632*p**2*q**2 - p*q**2 - 3*p*q + 15*q**2 - 132 wrt p.\nAnswer: 12*p*q + 15264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7575 and 75750?\nAnswer: 75750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 15 - 124)*(-28*z - z - 7*z - 30*z).\nAnswer: 9570*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1296*i = 1316*i. Solve -11*c + 70*c - 59 = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-16)\/(-72) + (-322)\/(-9). Suppose 0 = -5*j - 4*j + r. Solve -2*d = -4*k - 20, -j*d + 2*k + 16 = -0*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2664, -12978, -30168, -54234?\n\"Answer: -3438*u**2 + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 966249 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/20 - z**4\/6 + z**3\/6 + 31*z. Let y(f) = -7*f**3 - 19*f**2 + f + 4. Let g(d) = -6*i(d) + y(d). What is g(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4008379 to the power of 1\/2, to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 i when three letters picked without replacement from {s: 4, i: 1, l: 1, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -9\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1326673457, 1326673455, 1326673453, 1326673451?\nAnswer: 1326673449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x**2 - x + (0 + 2 - 4)*(4*x**2 - x**2 - 2*x**2) - 2*x**2 - x + x + (4*x**2 - 3*x**2 + 0*x**2)*(2 + 2 - 1).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 5*j - 4*j + 13, 3*x + 21 = 3*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 3*u**2 - 3*u**2 - 4*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*12\/594*12\/(-108)*(-165)\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441114 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -224\/265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(5 + -1)*4. Let w = 266 - 5052\/19. Is w < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9708907.\nAnswer: 13, 746839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*x - 243 = 0, 2*g + 3*x - 189 = -2*g. Suppose 0 = 2*f - 6*f + g. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -550*b + 1. Let j be r(-5). Let k = j + -71489\/26. Let t = -287983\/29090 + -4\/14545. What is the common denominator of t and k?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8165584 to the nearest ten thousand.\nAnswer: -8170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:22 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -33. Suppose -4*k + g*k = -72. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 2. Let j(g) = g + 4. Let h(w) = 6*j(w) - 13*p(w). Let z(b) = 4*b + 1. Calculate 3*h(a) + 5*z(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 375*p - 20896. Give n(-308).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -620, 5, -5, 2, 1, -10 in ascending order.\nAnswer: -620, -10, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/55? (a) 17 (b) 5 (c) 2 (d) 1 (e) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 - -37?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/60 - x**4\/24 - x**3\/6 + 10*x**2. Calculate the common denominator of -7\/11 and t(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17990 divided by 2.\nAnswer: -8995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 11*n + 11. Let y be m(9). Suppose -1288 = 4*f - 11*f. Let x = f - 97. What is the highest common factor of x and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110 - 110001100010110011?\nAnswer: -110001100101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -h + 9, h = 3*v - 0 - 5. Suppose 2 = 2*w - v. Suppose 0 = -w*y + 3*y - 3100. Round y to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 0.07?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1317846, 5271392, 11860628, 21085548, 32946146, 47442416, 64574352?\nAnswer: 84341948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*q + 8, -5*p + 0*q = -4*q - 6. Suppose -16737 = p*z + 5*z. Let w = 3362 + z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*b**2 + 94*b**2 + 67*b**2 + 16*b**2 + 87*b**2.\nAnswer: 337*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89347500 by 32490.\nAnswer: -2750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 61.91096 meters?\nAnswer: 6191.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c**(-7)\/c*c*c)\/c)))\/(((c*c**17)\/c)\/c) assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045028551 rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 + 6*z**2 - 3*z + 5. Let x(d) = -3*d**3 - 5*d**2 + 2*d - 4. Let b = 41 - 36. Let j(n) = b*h(n) + 6*x(n). What is j(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 76*n - 217. Let i be u(-73). Solve 0 = 4*t + 4, -3*f + t + i*t = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15692191811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 5. Let j be d(10). Solve -5*c - 25 = 2*b + 3*b, 3*b + 5*c = -j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1881332, 7525182, 16931554, 30100448?\n\"Answer: 1881261*f**2 + 67*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 - -1) - -31 - -34.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41551618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261 and 200?\nAnswer: 52200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140579514 and 23130?\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 + 4. Let o(f) = 201*f**2. Determine j(o(s)).\nAnswer: 202005*s**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmmxmxt. Give prob of picking 1 x, 1 t, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3740\/3 - 1267. What is the common denominator of q and -81\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**4 - 2*k**3 + 2*k**2. Let x(q) = 709*q**4 + 6*q**3 - 6*q**2 + 209*q. Let w(v) = -3*o(v) - x(v). What is the second derivative of w(r) wrt r?\nAnswer: -8544*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -233?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:16 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.118 and -0.004.\nAnswer: -0.000472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -0.0899999. What is u rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -15, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275 - 270. Suppose -19*q = -20*q + l. Solve q*n = -7 + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 76, 55, 14, -53?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -180 - 5?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -a28?\nAnswer: -a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24, 0, -3, -54\/71, 0.4, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -209 - -1?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 8*z**3\/3 + 9*z - 164. Let q(x) = -x**2 - 1. Suppose -2*g - 1 - 3 = 0. Suppose 5*d + 55 = -35. Determine d*q(n) + g*t(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o**3 - 91 + 91 + (0*o - o + 0*o)*(0 + o**2 + 0) + (0*o**2 - 2*o**2 - 4*o**2)*(2*o - 5 + 5) to the form p*o + d*o**3 + i + v*o**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2839 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 1 - 1 + (2*y + 1 - 1)*(3 - 1 + 0) - 5*y + 3*y + y + 0*y + 4*y - 2*y + (-5 - 6 + 3)*(y - 3*y + y) - y - 3*y + 6*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:38 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -22. Let f = 1 + d. Let w be ((-7)\/126)\/(1\/4). Which is the closest to f? (a) w (b) 1\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -198, -1\/1712, 8.6?\nAnswer: -1\/1712","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 99*w**2 + 412*w = 0. What is w?\nAnswer: -103, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -2*z - 4*d, -4*z - d = -462 + 39. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-10)*13\/(-39) + 13103\/6. Is g greater than 2183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 17, 55 in decreasing order.\nAnswer: 55, 17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7776 + 4469 + 4714 - 31935 + 2*c**3 to g*c**3 + q*c + t + a*c**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-2) - 4)\/((-23)\/322)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Let k(j) be the second derivative of j**5\/24 + 11*j**3\/2 - 5*j. Let d(m) be the second derivative of k(m). What is d(c(q))?\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/7 + 386*b**2\/7 = 0.\nAnswer: 0, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66285 less than -4002697?\nAnswer: -4002697.66285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -11. Let n(a) = a**2 + a**g - 2*a**2 + 3*a**2. Let s(i) = -3*i. Determine n(s(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 5 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g - 35 = -2*l + 48*g, 4*g = 3*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 3. Let s be y(0). Suppose -p - 8 = -s*p. Solve 4*n - p = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 964*g - 968*g + 4879*g - 987*g - 966*g + 0*g**3 - 966*g.\nAnswer: -2*g**3 + 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(28 - 105 - 4)*(-7*a + 3*a - 2*a).\nAnswer: 972*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54164 and 1147292.\nAnswer: 12620212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -19, -45 in descending order.\nAnswer: 23, -19, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -934 (c) -39.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khnkc. Give prob of sequence nchk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 - 2*s + 1. Let r be p(1). Suppose 2 = -2*c, -3*h - r*c + 10 = -h. Let q be 19\/h + 2\/7. Solve q + 9 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175.5 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.44097663 to three decimal places.\nAnswer: -54.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 5280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:18 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovv. Give prob of sequence voo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388635.2 kilometers to centimeters.\nAnswer: 38863520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2137\/756 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 239*b**4 + 3*b**3 - 837*b**4 + b**2 + 287*b**4 to j*b**4 + q*b**3 + o + i*b + m*b**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Let i(b) = 9*b + 1. Let h be i(w). Suppose 14 + h = 3*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2)*o)\/o*o*o**5)**3*(o*o*o**(2\/7))**36*(o*o*o*o**(-2\/21)*o)\/o**(4\/3) assuming o is positive.\nAnswer: o**(1461\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13688?\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3*4\/12). Suppose s = 2*t + 2*t + 4, 3*c = -5*t + 22. Suppose 0 = -2*m - c*m. Let f(d) = d**3 - d**2 - 6. Calculate f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.1 + -6. What is the closest to 0.1 in 0, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c + 6*c + 16*c. Let v(f) = -6*f. Determine v(j(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2763208 is divided by 56392.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21839 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: What is 75\/2 of a kilogram in grams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5 + 504*u**4 + 39178*u**3 + 919292*u**2 - 3039744*u + 2080768 = 0?\nAnswer: -127, -64, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**46*(k**(-2))**(9\/10) assuming k is positive.\nAnswer: k**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-6)\/4)*20. Let x be (50\/100)\/(1\/(-2)). Let t = x - u. Calculate the least common multiple of t and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1, 2*f + 0*f = 5*y - 101. Let g = f + 48. Solve -2*z + 0*z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**3 - 3*m**4 + 2*m**4 - m**4 - 8 + m**4. Find the third derivative of n(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 m, and 1 h when four letters picked without replacement from hgggggmggggggmhhg.\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -390, -395, -404, -417?\n\"Answer: -2*y**2 + y - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -804 - -6d?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.8488222 - -15\nAnswer: 14.1511778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w**4 + 10422240*w**3 - 1086197514300*w**2 - 6952065978880*w - 2607034122240 = 0.\nAnswer: -6, -2\/5, 208448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011 - -10111011?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*p = -0*p - 120, 3*p - 124 = -4*n. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.9 (b) -2\/11 (c) 1\/17 (d) -439 (e) 1 (f) 0.2 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 423, 0.4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h - 3. Let u be c(8). Let m = -540\/7 + u. Suppose -16 + 13 = l. Are l and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 - 3) + 16 - 67) + 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 22. Let b = p + -3. Let r = 0 - -4. Solve 9 = -x + 3*x - 5*n, x + b = -r*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -125\/131 and -2878 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 53. Let x be d(-8). Let i(p) = -2*p + 15 - 21 + x. Let a be 3\/9 + 7\/(-3). Calculate i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -14.9?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003603 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1308*p - 26121. Calculate m(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 4044046?\nAnswer: 4044043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + (sqrt(243)*1*-3 - sqrt(243) - sqrt(243))*-2*5)*2*2)**2.\nAnswer: -43200*sqrt(3) + 29160048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + x + 31 = 3*x, a = -3*x + 14. Suppose 22*b - 23*b - 3*u = -65, -3*u = a*b - 313. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 80 - 25. Suppose g - 48 = -z, g + 2*g - 3*z = 114. Let v = g - y. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 13*o**2 - 14*o - 21. List the prime factors of q(15).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413402209 divided by -1279883\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 2*b)*(-524356 - 22800*b + 524356).\nAnswer: 45600*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311223153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10750 and 8.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 195, 392, 589?\n\"Answer: 197*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 1. Let t(i) = -12*i**2 + 18*i + 9. Let p(b) = -2*b**2 + 2*b + 1. Let q(w) = -45*p(w) + 5*t(w). Determine x(q(a)).\nAnswer: -90*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/7 - 394*v**4\/7 + 2006*v**3\/7 - 2822*v**2\/7 + 1212*v\/7 = 0.\nAnswer: -202, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/14*(0 - (-805)\/7410) and 37\/133.\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 - 2. Calculate a(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70592677273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 7*k**2 - 6*k + 39. Determine u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(567))**2 + -5.\nAnswer: 54*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:34 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-13)*f)\/f)\/f**15)\/((f*f**(-3\/19))\/(f\/(f*f**(-1\/6)\/f*f))) assuming f is positive.\nAnswer: f**(-3155\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b = -0 + 147 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 798283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3 - (-544)\/(-192). Suppose -5*t + 21 = -89. Let n = t - 24. Which is the third biggest value? (a) n (b) 2 (c) 0 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 298940300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugdfgvxu. What is prob of sequence ufvd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.21591+-14\nAnswer: -14.21591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -73*v**9\/42 + 193*v**5\/60 + v**3\/3 + 346*v**2. Find the third derivative of x(k) wrt k.\nAnswer: -105120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:21 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:26 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 - -4 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(832) + 2))**2.\nAnswer: 800*sqrt(13) + 20900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)**(-1\/12)\/((j*j**(3\/11))\/j**(-5\/3)))**(-5\/6) assuming j is positive.\nAnswer: j**(665\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(22)\/(sqrt(44) + sqrt(11))) + sqrt(18)*1 - sqrt(16)\/(sqrt(8) + sqrt(40)\/sqrt(20))*5)**2 + 3.\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = 5*v, -2*v - h = -5 - 4. Calculate the least common multiple of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-9))**(-29)*(w\/((w**(4\/3)*w)\/w))**(-22) assuming w is positive.\nAnswer: w**(-848\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55395, -57564, -59733?\n\"Answer: -2169*c - 53226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-2)\/3*3. Suppose -q*d - 2*d = -15. Let f be d*(-10)\/(-25)*15\/1. What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 28. Let d be x(-5). Suppose 9 = d*z - 3*s, 2*s = -3*z + 6*z - 6. Factor 1\/4*n**2 + 1\/2*n + z.\nAnswer: n*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6845 - 6841. Let x(a) = -a**3 + 2*a**2 + 5*a - 2. What is the lowest common multiple of x(3) and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 296446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let r(j) be the second derivative of 13*j**4\/12 + 45*j. What is z(r(b))?\nAnswer: -338*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5))**21 assuming f is positive.\nAnswer: f**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 - 3*v - 2. Let z be c(4). Suppose -z*s = -0*s. Let y(d) = s*d - 4*d - 3*d + d. Let a(l) = -l**2. Determine y(a(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from dduududddu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - v + 4 + 7*v - 13*v.\nAnswer: -5*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0 + 0*l + 2*l**2 - 1\/3*l**3. Let j(d) = -d - 2. Calculate -3*i(y) + 2*j(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/2 - 331*i**2 - 53088*i + 564480 = 0.\nAnswer: -336, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 99 - 103 = 0. Solve n = -w*n + 5*s - 8, -3*s = -2*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67972*-0.5\nAnswer: 33986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-26) - (-4)\/(-13). Let f = -171.22 + 169. Let t = f - -2.01. Which is the biggest value? (a) 4 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 9 = i, -47*i + 37 = 2*o - 42*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 108*j + 31979. What is w(-297)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -85. Let u(y) = -2 + 2 - 5 - 2 + 9*y. Let x(n) = 6*n - 5. Determine l*x(m) + 5*u(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + 13. Let f = 57.4 - t. Let a = -164\/5 + 33. Sort a, f, 1.\nAnswer: a, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 - 10*k - 7. Determine s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153 (base 7) in base 6?\nAnswer: -3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7719 - -12299. Let v = o + -1801. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 4. Let b(f) be the first derivative of 8*f - 3*f**2 + 96 - 23 - 12*f + 27. Give 6*b(w) - 5*q(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 45*h**2 + 3*h. Let z(l) = 1936*l**2 + 128*l. Calculate 128*j(p) - 3*z(p).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939066.2m to nanometers.\nAnswer: 939066200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.135 * 2.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 20726?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.429980393 + 0.5?\nAnswer: 921.929980393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*d - 223*d - 387*d - 180*d + 270*d.\nAnswer: -1440*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1134)*-5 + sqrt(1134))*5)\/((-1*sqrt(378) + sqrt(42))\/(sqrt(30)\/sqrt(5)*-2)).\nAnswer: -405*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*-2)\/((1808\/33)\/113)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1. Let b(m) = 4052*m - 9. Give -b(t) - 6*f(t).\nAnswer: -4052*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741988204196 - -0.1.\nAnswer: -741988204195.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1716615 * -19\nAnswer: 32615685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -8*g - 117 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/9, 5, 1 in ascending order.\nAnswer: -2\/9, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1684*l + 3263. Give q(-2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -0.4, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/17)*q**(1\/50)\/q*q*q*q\/(q**1*q)*q*q**22)**(2\/25) assuming q is positive.\nAnswer: q**(19717\/10625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Differentiate -6*l**3 + 4 + 8*l**3 + u + 3*l**3 wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60742*t**4 - 60368*t**2 wrt t?\nAnswer: -1457808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 8*n + 12)*(114*n**3 + 397*n**3 - 81*n**3) in the form j*n**3 + x*n**2 + z + m*n**4 + i*n and give m.\nAnswer: 3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 590*l - 588*l + 52*l**2 + 162*l**2 as n*l + z + f*l**2 and give f.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 6. Let i be b(-2). Let q = 29 - i. Let k be (-3 + q\/9)\/(2\/(-3)). Solve k*d - 4 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3752 and 16219427?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {o: 3, f: 1, v: 6, p: 2, l: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - (-1 + 9 + -4). Suppose -9*g - j = -10*g. Let d(a) = -a**3 + a - 1. Let w(s) = 6*s**3 + 2*s**2 - 5*s + 5. Determine g*d(v) + w(v).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x - 17. Determine c(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let a be 2\/((-6)\/(-15) - 0). Suppose 0 = -a*f - 0*f - w + 79, -t*f + 4*w = -14. What is the greatest common divisor of f and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16641*c**5 - 4*c**4 - 143387*c**2 wrt c?\nAnswer: 998460*c**2 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(-2*(-2)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)\/p)**25 assuming p is positive.\nAnswer: p**(-275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11168 and 4482556.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*p + 91*p + 1445 = 5*k, 289 = k - 4*p. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-4)\/(-26) + (-3)\/273). List the prime factors of 8\/(-168)*-246 + 2\/c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/4))**(-30))**(2\/31) assuming l is positive.\nAnswer: l**(-105\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0\/1)\/1)\/1. Let b(q) = q**2. Let g be b(0). Suppose -r + v*r + 8 = g. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.259328 litres to millilitres.\nAnswer: 259.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 18*n**2 + 23*n - 42. Give h(19).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 39.35 + 0.0608422\nAnswer: 39.4108422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1067 = -238*j + 353. Let a be 0 + -2*4\/2. Put -13, j, a in ascending order.\nAnswer: -13, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 64*d - 65*d, 4*d - 12 = 3*l. Solve 0*h + 20*h - 80 = d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - ((18 - 6) + -7 + 10).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 2*r)*(-1 + 3 + 8)*(34*r + 79*r + 38*r).\nAnswer: 3020*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*y, -2*b - 6*y + 35 = -y. Suppose -167 = -2*x + 9. Suppose -5*f - b*p + 102 = -x, 3*p + 9 = 0. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 1.2. Let m = -0.3 + d. What is the second smallest value in -2, -2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(-45) - (-2)\/(-9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 659*u**3 - 5969*u**2 + 274*u + 1709 wrt u.\nAnswer: 3954*u - 11938","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1\/(-2))*3\/22. Suppose -2*a + 6*a = 4. Which is bigger: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1 in descending order.\nAnswer: 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 5*p - 2. Let r(o) = -7*o**2 - 19*o - 9. Suppose z - 48 = -39. Let l(u) = z*g(u) - 2*r(u). What is the second derivative of l(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39271 + 14*f + 39271.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 16. Suppose -q + 3*y + 72 = -2*y, -h*q = -5*y - 273. Let o = -32 + q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-8)\/(-24)*(-42)\/12. Solve 0 = 3*n - 12, y*f = 3*f + 2*n - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118233 + 118231. Suppose -2*u + 24 = -5*c, 5*c - 18 = 3*u - 44. Put w, 1, u, 4 in decreasing order.\nAnswer: 4, u, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69 (b) -698.6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 8*n - 4. Determine q(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o - 2. Let g be p(1). Suppose g*n - 12 = n. Suppose -4*q - 2*y + 31 = -35, -n = -y. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15)*-10 + (1 - 4). Which is the smallest value? (a) -7 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3092 + -3184. Sort 3, -3, h.\nAnswer: h, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7070776*i**2*s**3 - 1633*i**2*s + 6*i*s + 2*i + 9*s + 3 wrt s?\nAnswer: -42424656*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 373903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, -3, 3, -0.0592, 2\/19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/2, 17\/8 in descending order.\nAnswer: 17\/8, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(114) + sqrt(114)*-2)*1 - -4*2*sqrt(114)))\/((-2*sqrt(4374))\/(sqrt(324)*-5)).\nAnswer: 175*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010100 (base 2) to base 8.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (1 - (-88)\/(-20)). Let m = 2 + -2.03. Let g = m - -4.03. Put 0.4, g, h in descending order.\nAnswer: g, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -53. Suppose g = -2*f + 45. What is the tens digit of f\/9 + (-7640)\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20.5. Which is the biggest value? (a) z (b) 0 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 7:24 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6665537.\nAnswer: 6665537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 188144 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 z(r) = 3*r**3 + 4*r**2 + 6*r + 5. Let c(k) = -k**3 - k**2 - k. Give -4*c(g) - z(g).\nAnswer: g**3 - 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1665c + 1d?\nAnswer: 1667b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1843 - 1145 = -148*u - 5814 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21817904 divided by -12956\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = 247 - 281 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 2\/7, -5, 6, 1\/5 in descending order.\nAnswer: 64, 6, 2\/7, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -52. What are the prime factors of (-3)\/24 - 6123\/t?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760665 is divided by 1227.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:45 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6120 by -6.\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 140 = -g. Let x be g\/9 - (-2)\/9. Solve 0 = 5*j - j - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + -4.9. Let v = -10 - -15. Let t = u + v. Which is the nearest to t? (a) -2 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 5*i**4\/4 + 40*i**3\/3 - 2200*i**2 - 64000*i - 5851. What is z in s(z) = 0?\nAnswer: -20, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*a - 23*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)\/w**(-9))\/(w**0)**(-13\/4) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - 2*k**4 + k**4 + (5*k**2 - 2*k**2 - 2*k**2)*(k**2 - 3*k**2 + 3*k**2).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077209 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 503*l - 3 = -504*l, b = l - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 514457*g\/4 + 2057892.\nAnswer: -(g - 16)*(g + 514473)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 divided by 303934.\nAnswer: -125\/151967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25617547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(1\/(-14)). Is 7 a factor of j - (8\/(-2) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Let s(j) = j**3 - 6*j**2 + 5*j - 1. What is s(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139093362403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 3?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a - 17. Let f(v) = -v + 7. Give -6*f(m) - u(m).\nAnswer: -m - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7403 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * -0.01.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 25, -5*l + 25 = -5*m - 6*l. Let r be 192\/234 - m\/(-6). Which is smaller: 0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4719 and 65\/5736?\nAnswer: 9022728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-3))\/(-3 - (-9142)\/3048) is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -11 - 7 - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 - 1 - 3*m - 10*m**3 + 19*m**3 + 2*m**2 + 3*m**3 + 7*m + 0 to f*m**2 + v*m + z*m**4 + d + w*m**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6095*0.4\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -31*q + 4. Let x(u) = -2170*u + 279. Let f(h) = -279*a(h) + 4*x(h). Let r(o) = -33*o. Give f(r(b)).\nAnswer: 1023*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 20*l**3 + 6*l**2 - 35*l - 118. Determine o(-3).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 255900734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -612 - -2?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41658690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9002 - 2*r - 16482 + 7347.\nAnswer: -2*r - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 362.3151 litres?\nAnswer: 362315.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4))**50)**(-1\/37)*((q**(2\/7)\/q)\/q*q\/q**(-11))**(-34) assuming q is positive.\nAnswer: q**(-92326\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 39*h**2 - 22*h + 55. Determine c(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 692*z + 574*z - 2071*z)*(-3*z + 4*z + 2*z) to b*z + q*z**2 + t and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 11. Calculate m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27733 or -138?\nAnswer: 27733","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -220.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774 = 2*d - 580. Suppose -5*z - v = -2*v - 3412, 2*v = z - d. Let r = 576 + z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-423)\/329)\/((-72)\/21). Suppose -6*l - 14 + 8 = 0. What is the biggest value in 3.8, p, l, -4?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982*n + 2240*n - 21466*n.\nAnswer: -21208*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1317228.872 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14412033, 14412032, 14412031, 14412030, 14412029, 14412028?\n\"Answer: -a + 14412034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o. Let m(g) = 2*g. Suppose 0 = 2*y + 11 + 3. Let a(c) = 5*c. Let j(n) = y*m(n) + 3*a(n). Determine -6*j(p) - 2*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10893?\nAnswer: 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -134786 less than -488831?\nAnswer: -354045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.29 (b) -4\/7 (c) 0.484 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43710, -87406, -131094, -174774, -218446, -262110?\n\"Answer: 4*t**2 - 43708*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12697 + 12702. Solve z*w = -9 - 26 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 160 = 4*t, 4*t + 360 = 4*v - 232. Suppose 2*m - 29 = 7. Calculate the highest common divisor of v and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278306 and 3909794.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479 - -9099\/19. Let t(c) = c - 1. Let f(j) = j**2 - 6*j + 10. Let i(z) = -f(z) + 3*t(z). Let u be i(7). Does m = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/15 - 42*p**2\/5 - 928*p\/15 + 792\/5 = 0 for p.\nAnswer: -54, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 27\/30)\/((-5)\/30)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 41 + 89 - 8*c - 6.\nAnswer: -8*c + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, -13, -41, -87, -157, -257, -393, -571?\n\"Answer: -h**3 - 9*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58078 is divided by 952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7147451, -7147452, -7147453, -7147454?\nAnswer: -7147455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 897\/980 or 1?\nAnswer: 897\/980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118518276?\nAnswer: 2, 3, 19, 519817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jpl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 965749\nAnswer: -965749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4 + 20924*y**3 + 41880*y**2 - 83696*y - 167456 = 0.\nAnswer: -2, 2, 5233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (9 - (16 - 7)) + -9 + 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 135670925?\nAnswer: 1\/27134185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, 4, -0.013, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 98054?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3836 = 5*s + 71090, 0 = 2*k - 3*s - 74926. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75445?\nAnswer: 5, 79, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b + 12. What are the prime factors of 90\/(-3 - -2 - b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414501, -1657957, -3730385, -6631785, -10362157, -14921501, -20309817?\nAnswer: -26527105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1860 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 17. Let s(m) = -2*m + 6. Let l(g) = -6*q(g) - 17*s(g). Let v = -445 - -863. Let n(h) = -v*h**2 + 212*h**2 + 193*h**2. Calculate l(n(d)).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 7137 = -24*v. Suppose -n = -3*n + 5*j + v, 1207 = 3*n - 4*j. What are the prime factors of n?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3) - (2 + -1). Let t(v) = 35*v**3 - 2*v + 1. Is t(w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Suppose -2*r + 4*l + 20 = 0, -14 = -3*r + 2*r + 3*l. Let d(c) = 2*c**r + 3 - 4 + 1. Give t(d(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/t**(1\/3))\/t)**36*t*t*((t\/t**2)\/t)\/t*t**(-4))**17)**(3\/22) assuming t is positive.\nAnswer: t**(969\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kquk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 30 = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*h = -s - 3, -2*h + 1 = -s. Differentiate 9 + 7 + 6*x**2 - s*x**2 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -0.11. Suppose -4*j = -3*y + 19 - 6, 3*j + 15 = -3*y. Let x be (j\/(-10))\/((-4)\/(40\/(-22))). What is the nearest to q in x, -1, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/8)\/k)\/(k*k**(-1\/11)*k*k)*k**(-2\/5)\/k*(k*k**(-2\/21)*k)\/k)**(-1) assuming k is positive.\nAnswer: k**(41851\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1676359.\nAnswer: -1\/1676359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 2*p. Let n(k) = 16*k - 1. Let m be n(p). What is the greatest common divisor of m and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-12 - -10) + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2121*d - 87314 - 39068 + 18211 = 0 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 463741100 and 1300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 7*c**2 + 6*c - 2. Suppose -2*y - 2*h = -3*y + 3, -5*y = h - 37. What are the prime factors of l(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7470\/(-1992))\/((-10)\/(-16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 598, 1\/3, -0.9, 0, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 12. Let r(j) = -j**2 + 3*j + 2*j - y*j. Let g be r(-2). Sort g, 5, -5 in increasing order.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -66\/5, -0.126, 1, 4\/9, -2?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 87*o = 6853. Suppose 3*j = -4*a + 36, 0 = 2*a + 4*j - 2*j - 18. Suppose 2*z - 13 - a = 0. What is the greatest common divisor of z and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75408961 and 116?\nAnswer: 301635844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*o**2 + 6 + 4*o**2 + 0 with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 7 + 2. Let a(g) = 2*g**2 + 0*g**2 + 2*g - 6 - 4*g**2 - 1. Let y(q) be the third derivative of q**3\/6 + q**2. Give r*y(v) + a(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218713 is divided by 43738.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 77 = 4*n + 21, -92 = 2*z - 4*n. Let d = -24 - z. What is the highest common factor of 112 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 4 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(20\/(-12))\/5. Suppose g = 4*u + 7 + j, -2*g + 3*u = -33. Is (-147)\/2*(-14)\/g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9994336 and 93\/42475928.\nAnswer: 169903712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2145?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 + 0*q**2 + 5*q**2)*(154 - 22*q - 154)*(-2 - 4 + 2) as g + w*q**2 + s*q**3 + i*q and give s.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4735)\/(-7) - (-3)\/(-7). Is (0 - -298)*i\/104 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + x**2 - x + 63. Let l be g(0). Suppose k + l = 4*k. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in -113, 2\/5, 4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 205*w**2\/2 - 3*w - 3637. Let r(q) = -68*q + 1. Calculate 8*r(n) + 3*z(n).\nAnswer: 71*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**11)\/o)\/o)**(-10\/19)*o*o**20*o*(o\/(o*o**13)*o)\/o assuming o is positive.\nAnswer: o**(291\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5277*o**2 - o + 1. Let d be h(-1). Suppose 3*f - 2*i - d = 0, 240 = f - 4*i - 1523. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-45)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263796 and 60116?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/10)\/(4*(-4)\/(-32)). Which is the closest to -2\/13? (a) j (b) -2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11613*v**3 + 3*v - 15311.\nAnswer: -69678*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*((-21629)\/860 + 25)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79961879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, w: 5, k: 1}. Give prob of picking 1 x, 1 w, and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + d + 55 = 0, 3*c - 25 = 5*d - 230. Let q = c - -9. Let y = 84 + q. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a94905 (base 14) to base 3.\nAnswer: 101210110022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/9 and 31\/154113.\nAnswer: 462339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -297, -240, -149, -18, 159, 388, 675?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 95.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*w - 98 - 130 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/(((n\/n**14)\/n)\/n)*((n*n**13)\/n)\/(n\/((n*n*n**(-3\/7)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 9.1?\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31824 and 24752?\nAnswer: 222768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*w + 12, 5*w - 5 = -15. Solve -5*p = -a - 25, -p + u*a + 15 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - o)*(-2*o - 3*o + 4*o)*(-11 + 12 - 5) to the form k*o**2 + z + i*o and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 17*c**3 + 12*c. Let z(d) = -8*d**3 - 6*d. Calculate 6*u(f) + 13*z(f).\nAnswer: -2*f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 40 = -d. Let f = -6 - d. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 2\/55 (b) -0.3 (c) 0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61889568 and 51207?\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4 = n, -2*c - 3136 = -3*n - 3099 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 47*x + 486. Let c be a(-14). Solve -c = -5*n + 11*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*j - 73*j + 59*j - 106*j to the form u + s*j and give s.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 1:48 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 95 - 257\/2*h**2 + 48*h. What is the first derivative of y(s) wrt s?\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/90*-2)\/1. Which is the fifth biggest value? (a) -1 (b) w (c) -5 (d) -4 (e) -35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/194 and 101\/4080.\nAnswer: 395760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w\/(w*w**(-7)*w))*w)\/w*w)*w\/(w*w**7))\/(w\/(w*w**(-1\/4)))**(-1\/56) assuming w is positive.\nAnswer: w**(-447\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 - 3*g - 6. What is t(-8)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose 3*x + 30 = 9*x. Suppose 3*z + 9 = -5*g + 35, x*g = 4*z + 12. Solve -c*m - z - 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + d = 3*c - 6, -2*d = -3*c + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11097 - 11094. Which is the closest to 51? (a) 0 (b) -3 (c) n (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, -3\/7, 2435?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2720 and 94.9?\nAnswer: -258128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1479*f**2 + 797*f**2 - 2296*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-3))\/(-4) + 1. Suppose 0 = 3*n - 18 + 123. Let y be (-2)\/(-6)*((-14)\/n + -1). What is the second biggest value in y, o, 0.02?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 - 8*u\/13 + 10\/13.\nAnswer: -2*(u - 1)*(u + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/105)\/((-2)\/(-10)). Let q = 91 - 87. Factor -2\/7*s**2 - m*s**3 - 2\/7*s**5 - 6\/7*s**q + 0*s + 0.\nAnswer: -2*s**2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -1035552400*h**3 - 3732880*h**2 - 3364*h = 0.\nAnswer: -29\/16090, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -r. Let c be (-2)\/(1 + (0 - r)). Suppose -c*o + 1500 = 3*o. What is o rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4502*w - 4506*w + 31, 4*j = -3*w + 47 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -0.221, 18, 5, -0.1 in increasing order.\nAnswer: -2, -0.221, -0.1, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4505 to 2 dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 2. Let d be h(-5). Let s be d\/(-9)*(-9)\/6. List the prime factors of (2\/s)\/3*-27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-342)\/(-95)*(20\/6)\/(-1). Let k(s) = -s**3 - 11*s**2 + 11*s - 6. What is k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9475*f**3 + 8*f**2 + 32*f - 9. Let c(r) = -9474*r**3 - 9*r**2 - 36*r + 10. Calculate -8*c(v) - 9*x(v).\nAnswer: -9483*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -9*h**2 + 3*h**4 + 6*h + 9*h**3 - 5*h**2 - 3*h**5 - h**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, -4, 385 in descending order.\nAnswer: 385, 24, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*j**3 - 1)*(0 + 0 + 2*j).\nAnswer: -8*j**4 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2 - 294*f - 26. Does 18 divide w(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28732*c + 545883. Calculate a(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 22\/209 + 78\/(-19) + 356.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -23*y**2 - 122*y - 50. What is the units digit of r(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3875*b + 7724 - 3869 - 3856 + (0 - 1 + 0)*(-3*b - b + 3*b).\nAnswer: -3874*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1250)\/(-20))\/25*8\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5393629 is divided by 898937.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -81*z**2 - 534*z + 35. Give r(-7).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 7*s - 16. Give a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 443 - 4*h + 6*h - 4*h as c*h + j and give j.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -26.99989. What is k rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 19*r = -726. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08969166457 to three decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z = -70*z - 18. What is the remainder when 51 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 211 - -6758?\nAnswer: 6969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070677 rounded to 7 decimal places?\nAnswer: 0.0000707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**15)**(20\/9))**(5\/4) assuming q is positive.\nAnswer: q**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/24 in 2, 3, -24\/13?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w - 2. Let g be k(1). Suppose b = -4*z - b + g, -b + 21 = 5*z. Find the second derivative of -4 + 4 + z*y**5 + 5*y - y**5 wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, i: 2}. What is prob of sequence nn?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = 2*l, -5*f - 17 + 5 - 4 = 4*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 + 2 = 0. Suppose 61 = -2*w - 5*v, 3*w + w = -v - 77. Let t(n) = -5*n + 5. Let d(s) = -s + 1. What is m*t(p) + w*d(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.603 - -0.003. Let q = -73.4 + p. Let o = q - -91.000047. What is o rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 - 3966*g**2 + 2146*g.\nAnswer: -40*g**3 - 7932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 474 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, -1, -3164, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaf. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:15 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20729263400 to the nearest one million.\nAnswer: -20729000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(5\/9)\/(o*o**(-3\/4))**(3\/29) assuming o is positive.\nAnswer: o**(499\/3132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003238 rounded to 7 decimal places?\nAnswer: -0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 27. Which is bigger: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206 and 18334.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2905486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10693*h**3 - 4*h**2 + 5*h + 11. Is b(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f*f**(-2\/15)*f*f)**(-8\/5)\/((f**(-2\/5))**12)**(-10) assuming f is positive.\nAnswer: f**(-2624\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42189, 84379, 126569?\nAnswer: 168759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 + 4 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 756 = -4*w, 0 = 2*h + 13 - 3. What is the units digit of (6 - 0)\/((-16)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -9*l + 944. Which is bigger: l or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/417*18*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and (-568)\/(-16)*14 + 2 + -9.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 17 - (21 + 1 + -2 + 1499 + -1515)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 5*z + 5. Let d(l) = -l**2 - 2*l + 2. Give -2*c(k) + 5*d(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szcgo. What is prob of picking 1 g and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:43 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 4 = -3*m - 2*x, 0 = 5*x - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*a = 539*a - 736 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -10, -35, -82, -157, -266, -415?\n\"Answer: -d**3 - 2*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001643397 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146068541447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 4*f = 21*o + 4229, -4*f = o - 4197. Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -10. Let d be (-3)\/m*(1 + -1). Let w = 303 + -302.8. What is the smallest value in d, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -6*o + 4*o + 8, -a = -2*o - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 2*j + 1. Let z be 8 - 2 - (3 - -1 - -3). Let a(y) = y**2 + y. Determine z*d(k) + 4*a(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -11 - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1211 - 229 = -4*m, -4*h = 4*m + 1980. Let j = h + 853. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a - 3. Let o(j) = 107*j - 53 + 15*j + 87. Let w(k) = 6*o(k) + 68*v(k). Let q(b) = b**2. Calculate q(w(p)).\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12785720*n + 13707287 wrt n.\nAnswer: 12785720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 457*k**2 + 0 + 478*k**2 - 114*k**3 wrt k?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 7}. What is prob of picking 2 x and 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272792?\nAnswer: 2, 13, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -90. Let d be 4\/6 + p\/12. Solve d*z = 6*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147)*-1 + sqrt(147))*-4)\/(-2*sqrt(147) - sqrt(3)))\/(sqrt(847)*-2 - 1*sqrt(112)).\nAnswer: sqrt(7)\/390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 - -122. Solve 2*y - m = -5, 3 + x = -y + 4*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 + 338*z**3 - 49306*z**2 + 1970992*z + 8694624 = 0. What is z?\nAnswer: -4, 94, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*v = 1259, 937 = 88*d - 85*d - 5*v. Does 144 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1833325 divided by 4\nAnswer: -1833325\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -9*f**8\/28 - f**7\/21 - 7*f**4\/2 - f**3\/6 + 57*f. Find the third derivative of r(j) wrt j.\nAnswer: -2160*j**3 - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m - 110. Let c be o(-17). Let h = c + 250. Solve 3*b + h*b + 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*r + 94 = -98, 3*r = 2*n - 384. Let c = -156 + 83. Let w = n + c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5376.225 months?\nAnswer: 4.4801875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.1. Let p = -14638579\/170 + 86109. Let w = p - -3\/34. Which is the smallest value? (a) z (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 not equal to -0.0689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 509*c**2 + 3533*c + 36532. What is s(-261)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 - 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2319 + 1348 = -74*d + 707 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4428.328351 rounded to one dp?\nAnswer: -4428.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.25\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -208 times -0.3\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4250 and 824875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 11*t**5\/5 + 953*t**4\/5 + 1367*t**3 + 3167*t**2 + 8934*t\/5 - 5688\/5 = 0.\nAnswer: -79, -3, -2, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**3 + 3*i**2 + 8*i - 6. List the prime factors of f(4).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/73 - -4535\/292. What is the common denominator of 25\/214 and c?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1091750 and 0.21?\nAnswer: 229267.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31 + 849)\/(2 + 0) is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtcchtc. What is prob of sequence tt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 9*l**3 - 8*l**3 + 18*l**3 + 1 as m*l**2 + k*l + o + j*l**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 232*m**3 + 3*m**2 - 14176 + 117*m**3 + 116*m**3.\nAnswer: m**3 - 14176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285246147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 101 - 27 = 0. What is the highest common factor of o and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2192, -3992, -5794, -7598, -9404?\n\"Answer: -c**2 - 1797*c - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 79, 164, 257, 340, 395, 404?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggnrgnnnvnrg. Give prob of picking 2 g and 1 v.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.10100406*0.3\nAnswer: 0.030301218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b3c1 + ba?\nAnswer: -b304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, p: 1}. Give prob of sequence pb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rgrrrhhgrrrg?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*x + 142 - 138, -3*x + 41 = 4*h. Which is the closest to -19? (a) -0.5 (b) h (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003211944 to seven decimal places.\nAnswer: -0.0003212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k**5 - 16512*k**4 + 387672*k**3 + 722688*k**2 - 237744*k = 0.\nAnswer: -2, 0, 2\/7, 26, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/59 - 797\/590. Calculate the common denominator of o and -89\/954.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1569*f**4 - 4710*f**3 + 4716*f**2 - 1578*f + 3.\nAnswer: 3*(f - 1)**3*(523*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a + 129. Let o be r(-9). Find the second derivative of -17*w - 2 + 2*w**3 - 2*w**o + 84*w**4 - 89*w**4 - 52*w**4 wrt w.\nAnswer: -684*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 33765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*w + 7 - 10, 5*w - g - 11 = 0. Find the second derivative of -64*c + 15*c + w*c**4 + 0*c wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/3 + 2*h**2 - 4*h - 1. Let f be i(-7). Let x = -8 + f. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21041 (base 5) to base 7\nAnswer: -4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -249?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*0.05.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 11*l. Let c be v(5). Suppose 0 = 4*m - p - 23, 0 = m + 2*m + c*p. Solve h + m = -0*n + 2*n, 0 = 5*h + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c3 - -5?\nAnswer: 7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -31. Suppose -3*b + 22 = p*b. Find the second derivative of -7*q**2 + 12*q + 12*q - 46*q - 19*q**b wrt q.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -376.35?\nAnswer: 380.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11101254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110012122111 - 22?\nAnswer: -12110012122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/4 + 2*j**3\/3 - j**2 + 2*j. Let o = -27 + 31. Suppose 0 = -o*z - 2*l, -z - 2*l - 6 = -0*z. Calculate p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -21. Sort -2\/11, q, 1\/3 in descending order.\nAnswer: 1\/3, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -554375 (base 12) to base 4.\nAnswer: -11022320021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 978323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*((-112)\/(-567))\/2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -76. Let s(i) = 3*i**2 - 16*i - 7. Let t be s(5). Let v = t + r. What is the remainder when 23 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15683968371618 + 2.\nAnswer: -15683968371616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.233.\nAnswer: 1.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18679062 or -18679064?\nAnswer: -18679062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.179217 litres in millilitres?\nAnswer: 2179.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 6*x. Let a = 0.27 - 0.67. Suppose -k = -3*k + 8. What is the closest to k in -5, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1983.1 - 1982.0841. Let l = 0.0159 - t. Which is smaller: -146 or l?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(425)*-2)**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v - 49. Let w(g) = -g. Calculate -2*n(y) - 22*w(y).\nAnswer: 2*y + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1828530360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -1. Suppose 2*i - 5 - x = 0. Solve 0 = -i*p + 3*b + 9, -3*b + 3 = p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24.33426 months?\nAnswer: 2.027855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -193*t - 513. Is w(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 + 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 662*t + 2*t**2 - 3*t + 15*t in the form x*t**2 + i*t + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 7*y**4\/4 - 2*y**3\/3 - y**2 - 5*y + 2953. Let n(s) = 6*s**3 - s**2 - 2*s - 4. What is -5*d(j) + 6*n(j)?\nAnswer: j**3 + 4*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2 - 3 - 8*p + 9 - 16*p. Let c be o(-2). Suppose -4*m + 2*m + 2*z = -c, 5*z = m - 46. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -14 + 35 + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:35 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 30*w**2 + 3. Let p(c) = -c**2 - 1. Suppose 56 = -596*o + 540*o. Calculate o*t(a) - 3*p(a).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -1152*w + 1147*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 8*u + 9 = 7*u, -3*v + 12 = u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, 282, -5 in decreasing order.\nAnswer: 282, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b - 73*b = 12. Let o be b\/15 + 327\/15. Calculate the greatest common factor of o and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + h - 44*h**3 + h + 42*h**3 - 185*h**4 + 1 to the form b*h**4 + y*h**3 + z*h**2 + w + d*h and give b.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -521, -2061, -4641, -8273, -12969, -18741?\n\"Answer: -2*y**3 - 508*y**2 - 2*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 302849088 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 9*r = 83. Let f = -67 + r. What is the smallest common multiple of f and 34?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21420 (base 9) in base 13?\nAnswer: 65ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 3 - 48*c - 16 + 70*c - 36*c to t*c + f and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*b*j*t**2 - 80*b*j*t - 4*b*t**2 - 57*b*t - 120883*j*t**2 + 1578*j*t wrt t.\nAnswer: -130*b*j - 8*b - 241766*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -580*i + 590*i - 2 + 2*i**2 + 0*i**2 as x*i + l*i**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanonyhy. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t - 15*t + 110*t + (4*t + 0*t - 2*t)*(3 - 2 + 1).\nAnswer: 110*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -155, -173, -229, -341, -527?\n\"Answer: -3*z**3 - z**2 + 6*z - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10484856)\/5180 - (-1 + 2). Let y = -10126\/5 - x. Let r = y + 17285\/4662. Calculate the common denominator of r and -101\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(76\/((-288)\/((-288)\/12)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/12*u**4 - 1\/6*u**3 + 0 + 98*u + 1\/2*u**2. Give l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 + 0.57. Put -1\/3, x, 3, -5 in ascending order.\nAnswer: -5, -1\/3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**3*u**2*w - 8*t**3*u + t**3*w - 20*t**2*u**2*w - 2*t*u wrt u?\nAnswer: 12*t**3*w - 40*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(1*sqrt(35)\/sqrt(5)) - (-3 + sqrt(425) + (sqrt(425)*1)**2).\nAnswer: -422 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.062 - 1.538. Let m = 0.08 - 1.68. Let k = m - g. Which is the second smallest value? (a) k (b) -3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 22 - -48 - -9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 24, -1, -242.\nAnswer: -242, -1, 24, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.4 + 51.9. Which is the biggest value? (a) 3 (b) -1.1 (c) 15 (d) n (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -51, -92, -171, -300, -491, -756, -1107?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**9*l*l**(-12))**(3\/10)*l**(-1\/7)*(l\/((l*l*l**(2\/25))\/l)*l)\/l*l*l**6*l\/l**(-2\/9) assuming l is positive.\nAnswer: l**(26143\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7034.\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3) + 7\/(-7). Let i be 2\/l - 10\/12. Let b = 3 - 2. What is the nearest to 2\/7 in b, -4, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05244 - -0.14756. Which is the nearest to 0? (a) 2\/85 (b) 4 (c) 0.5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 154965249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g**2. Let s(l) = -561*l**2. What is 242*m(k) - 6*s(k)?\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11152, -10980, -10808, -10636?\nAnswer: -10464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-24)*13\/65.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 8*t + 11. Let f be b(8). Suppose 3*p - f + 3 = 4*s, -2*p = -5*s - 3. Suppose 20 = -q + 3*q + 2*j, p*q = 3*j + 33. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c)*(1012*c**2 - 410294 + 410294)*(-6*c**2 + 2*c**2 + 2*c**2).\nAnswer: 4048*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23598157 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*p - 201 + 804 = -376 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2299.1778 months?\nAnswer: 19.159815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from kzrhhhrth.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/6)*w**3)**(-48)*(w**(1\/4)\/((w*w*w*w*w**(2\/23)*w*w*w)\/w*w))**(-15) assuming w is positive.\nAnswer: w**(-8965\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2765372, 2765191, 2764698, 2763737, 2762152, 2759787?\nAnswer: 2756486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 8. Let a be o(7). Solve -7 = 2*g - a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -748447*z - 1894. Let a be t(-2). Round a to the nearest ten thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2. Let m(u) = -5*u**2 + 2. Let y(l) = 4*l**2 - 1. Let h(o) = 3*m(o) + 4*y(o). Let n(g) be the first derivative of h(g). What is n(r(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.892901 to two decimal places.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27270 and 3090.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7218, 14376, 21534?\n\"Answer: 7158*i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/520 and 31\/16744.\nAnswer: 83720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 48406653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 718, 0.5, -2\/5, -1 in decreasing order.\nAnswer: 718, 0.5, -2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 - 218 = -4*a - 5*u, -u + 1 = 0. Let f = a + 80. What is the remainder when f is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14 - c**3 + 1 - 3 - 6*c + 8*c**2. Let g be y(7). Calculate the highest common divisor of g and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**4 + v**3 + 1. Let r(y) = -3*y**4 + 5*y**3 - 11*y**2 + 15*y + 11. Let c(d) = -2*r(d) + 10*s(d). Find the second derivative of c(o) wrt o.\nAnswer: -48*o**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2149 plus -2368228.794?\nAnswer: -2368228.5791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nptqqpiqvttvp. Give prob of picking 1 q and 1 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143857126 divided by -156878?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 222001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.5 (c) 1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35*-5\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 - 5*l - 6. Let h be r(-1). Sort h, 4, 1, 49 in increasing order.\nAnswer: h, 1, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 225. Suppose 2*t = 3*t - 8. Calculate the lowest common multiple of t and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from ewemwmmwmwzwwmn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 times 71?\nAnswer: -745.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97822 + 368681. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40676)\/(-71183))\/((-16)\/3).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 702*v**2\/17 - 8422*v\/17 - 24\/17.\nAnswer: 2*(v - 12)*(351*v + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158636?\nAnswer: 2, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616078732?\nAnswer: 2, 3, 218006561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7274868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*u - 2*z - 410, 0 = 4*u + z - 341. Calculate the remainder when ((-8)\/(-16))\/(2\/u) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2483, 4938, 7391, 9842, 12291?\nAnswer: 14738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 10*d - 1. Suppose 48*v = 58*v + 120. List the prime factors of t(v).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 15*q + 3. Let r be v(-11). Let s be (-2)\/(-3) - r\/156. Which is the third biggest value? (a) -2\/9 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 4*c + i, 0 = -c + 9*i + 1808 - 1360 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4693, 4688, 4683, 4678, 4673?\n\"Answer: -5*r + 4698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + 2*k + 10*k + 12*k - 3*k + (k + 4*k - 2*k)*(3 - 6 + 0))*(-79 + 157 - 60).\nAnswer: 216*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d**4*v - 8*d**2 + 3*d*v - v + 11 wrt d.\nAnswer: 20*d**3*v - 16*d + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 28?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 4}. Give prob of picking 2 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/33 + (-6 + 0)*2\/(-18). Solve -3*j + 28 + 9 = -5*f, 23 = -3*f + r*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1492914370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4629*w - 3193. Let v(o) = -2316*o + 1595. Let m(z) = 4*l(z) + 9*v(z). What is the first derivative of m(j) wrt j?\nAnswer: -2328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18338880.\nAnswer: 2, 3, 5, 7, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 28*x**2 - 7. Let h be ((-42000)\/(-6750))\/((-2)\/(-9)). Give c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -67 + 13 - (-7 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 57*p + 742. What is y(-25)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696335887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110000101 - -101011?\nAnswer: -11010101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d - 7. Let y = 5 - 2. Let i = y - -1. Let r be i\/(-14) - (-148)\/28. Determine o(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 142683 - 133682 - 52795. What are the prime factors of a?\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6245 is divided by 1234.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 23*f - 32. Let q be m(13). Suppose q*y - 10 = 18. Solve 4*p + 3*v - 9 = 0, p - 2*v = 3*p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (488\/(-6))\/(2\/9). Suppose 5*w = -5*o - 4350, 782 - 2510 = 2*o - 2*w. Let c = n - o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 10*a**2 + 10*a + 12. What is the remainder when c(9) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4229 - 4224. Solve z*j = -6*j - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 - -2.98. Round f to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184 - 7*w - 25*w**2 - 24*w**2 + 48*w**2 - 297 to d*w**2 + n + b*w and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -112 - 8. Suppose 0 = -9*l + 7*l + d. Suppose 0 = -m + 4*m + l. Sort -3, m, 3 in decreasing order.\nAnswer: 3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 - 25 = 0. Suppose 0 = -2*w - 2*w + 4, 2*g - 2*w = -v. What is the second biggest value in 2\/7, g, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {o: 4, g: 11, u: 3}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3508)\/2)\/(106\/(-159)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -44. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5412 is divided by 1803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/(y**(-4)\/y)*(y\/(y\/y**7))\/y*y**(-3))\/((y*y\/(y*y\/(y*y\/(y*y**2*y))*y))**(-4)*((y\/y**(-1)*y)\/y)**(-25\/4)) assuming y is positive.\nAnswer: y**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162.2963 - 163.3762914. Let v = 36 - 34.92. Let k = w + v. Round k to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 36144.0387ns?\nAnswer: 0.00000000005976196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 7 - 53 = 0. What is the hundreds digit of ((-317)\/4)\/(5 - (-21)\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960160329?\nAnswer: 167, 907, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 43*y - 279*y + 36*y = 2016 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/135 - 38\/(-130). Is -1 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o. Let k(n) = -3*n. Let m(f) = -14*k(f) + 6*w(f). Let c(a) = -a. Determine m(c(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -132*r**5\/7 + 926*r**4\/7 - 1990*r**3\/7 + 170*r**2 + 6*r - 36\/7 = 0.\nAnswer: -1\/6, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 369b - -2?\nAnswer: 369d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -35, -60, -89, -122, -159, -200?\n\"Answer: -2*p**2 - 15*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(12 + -24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*w = 24. Suppose i - 4 = -0*i, w*o + 2*i - 65 = 0. Calculate the remainder when 36 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36\/5753639 or -1?\nAnswer: 36\/5753639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147821132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5719858mm?\nAnswer: 571.9858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, 0.1, -167, 4 in ascending order.\nAnswer: -167, 0.1, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 4*b + 40 = 0, 4*b = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - 14. Let y be 1\/(-10) + t\/(-820). Put 3, 1, -3, y in increasing order.\nAnswer: -3, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o + 5. Let b be i(-4). Let w(h) = h - 5*h**3 + b*h**2 - 4*h**2 - 2 + 6*h**3. What is w(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-22) + (-12800)\/22. What is the units digit of (5\/(-3) - 1)\/(4\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*p + 35*p - 3544 = 4805 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/998 and 26?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/2, 2, 1\/5, 307, -0.17 in decreasing order.\nAnswer: 307, 2, 1\/5, -0.17, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 258, 387, 516?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 75*c**3 - 330*c**2 - 400*c = 0.\nAnswer: -8, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + 0 + -3 + -17 + 27 + -49?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose -4*c = -l + 24, j*c + 5 = -7*l + 2*l. Solve f = -l*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 873, 872, 871?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -17 - 3946\/(-54) - (-4)\/(-54). Calculate the greatest common divisor of 182 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 8:17 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1080 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00130330742 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -452, -679, -906, -1133?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 396 (base 11) to base 10\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 39. Calculate the remainder when 32 is divided by p(34).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33234*c - 2910947 + 2910947 to the form s*c + j and give s.\nAnswer: -33234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 3\/7 (b) 3 (c) -128 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let l(z) = -225*z**2 - 135*z**2 + 119*z**2. Give l(f(k)).\nAnswer: -964*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 6*q**2 + 3*q - 3. Calculate s(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 - (-30 + 0). Let t be (-2)\/(-7) - g\/210. Let o = -0.6 - 1.4. Sort t, -0.5, o in descending order.\nAnswer: t, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 216224.7.\nAnswer: 216224.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 + -122100022210?\nAnswer: -122100020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 77, 3\/7, 8.1?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 62. Let r be l(30). Suppose 0*g - 5*o + 21 = 2*g, r*g = 2*o. Solve -g*v - 6 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 745*w**2 + 11*w - 13. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73942926.\nAnswer: 2, 3, 41, 300581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 4*h + h**3)*(-54 + 203 + 64) to the form o + z*h + x*h**3 + k*h**2 and give x.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*1\/(-2)*1. Let l(z) = -z**2 + 417*z - 419*z + 2*z**2 + 1. Give l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + m - 3*m - 19620 = 0, -4911 = -v + 2*m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.16, 1\/6, -177, -4 in descending order.\nAnswer: 0.3, 1\/6, 0.16, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29076, 2\/5, 1\/371?\nAnswer: 1\/371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 2*w - 14, 6*k + 5*k = 2*w - 6*w - 82 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -0.2 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2920 and 8187.89401.\nAnswer: 5267.89401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122.772 + 116.9. Round a to 1 decimal place.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 400, 785, 1130, 1417, 1628, 1745, 1750?\n\"Answer: -3*z**3 - 2*z**2 + 412*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851.952 years to months.\nAnswer: 10223.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idzzinihnniznnz. What is prob of sequence id?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1. Let b(q) be the second derivative of 7*q**3\/2 + 5*q**2 + 6*q. Let j(y) = b(y) - 2*x(y). Let k be j(5). What is k rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16576867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4663, 37454, 126479, 299860, 585719?\n\"Answer: 4687*p**3 - 5*p**2 - 3*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5066 - 550?\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -553, -1222, -2937, -6220, -11593, -19578?\n\"Answer: -87*c**3 - c**2 - 57*c - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*u**2 + 5*u - 3497.\nAnswer: -130*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 3*m**3 + 4*m**3 - 5*m**3 + 16.\nAnswer: -4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 + 781 + 57 = -142*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/5, -0.19, 0.79, -1.52 in decreasing order.\nAnswer: 4, 0.79, 1\/5, -0.19, -1.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/((0 - 6)\/18).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 + c**3 - 147*c + 487*c - 103*c - 143*c in the form w*c**3 + q + m*c + t*c**2 and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -294\/5. Let a = 645\/77 + -12\/11. What is the common denominator of d and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 143*m**2 - 1.\nAnswer: 143*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 187, 207, 245, 307, 399?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1238 - 1242. Let f(q) = q**2. Let g be f(-2). What is the nearest to g in 4, 0.4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 - 1303?\nAnswer: -1304.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j + 2*j + (15*j + 5*j**2 - 15*j)*(4 - 3 + 1) - 2 + 2 + 2*j**2)*(j - 4 + 4).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 5*n, 2*h + 15 = -3*n - 14. Let w = -15 - h. Calculate the least common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25674 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3695455 years?\nAnswer: 4.434546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-12) - (178\/3)\/(-1). Suppose -3*k = 3*o - u, 3*k = 2*k + o + 10. What is the greatest common factor of 120 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = s - 5, 3*s = y + 4 + 17. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415 and 1577.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9 + (-518)\/(-42). Solve p = -3*t + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 3*h - 3*h + (-12*h + 6*h - 3*h)*(3*h + 5 - 4 + 0) in the form u*h + o*h**2 + j and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 71*j**2 + 74*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 385949 - 6*o**3 + 2*o - 385949 + 2*o**5 + o**4 + o**2.\nAnswer: o*(o - 1)**2*(o + 2)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 229 - (2 + -3 + 4). Suppose -271 = -3*h - w. Solve l - 2*c = -h + 6, -5*l = 5*c - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 3*z**2 - 3*z + 6. Let h be o(-4). Let a(i) be the second derivative of 0 + 1\/2*i**3 - 3*i - 5\/12*i**4 + 1\/20*i**5 + h*i**2. Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211011 + 221212020?\nAnswer: 221001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 51 - 16)*((-z - z + 0*z)*(3 - 2 + 0) - 3 + 4*z + 3) to r*z + a and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195 - 0?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -163125, -163131, -163137?\n\"Answer: -6*d - 163119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by 5\nAnswer: 78\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:33 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.86101563 + -2.861. What is d rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238499 = 5198*h - 92820 + 19439 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 + 626789679*h - 626789679*h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -21. Let g be (-470)\/(-40) + o\/(-4). Suppose g*y - 2041 = -y. List the prime factors of y.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 18*l + 14. Let u = 462 - 452. Give a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10\/(z**(-2\/7)*z)*(z*z\/(z\/(z\/(z**(-9)\/z))))\/z**(-4) assuming z is positive.\nAnswer: z**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2075 and 212450?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 75 = -2*q + 5*q, 4*g - 92 = 4*q. Let v = -12 + g. Solve -7 = 2*j + r, 2*j = v*j + 4*r + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(13)*-5 - (sqrt(143) - (sqrt(143) - (2*sqrt(143) - sqrt(143))))\/sqrt(11)).\nAnswer: -11*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1552387.199 rounded to the nearest one hundred?\nAnswer: -1552400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, q: 12}. What is prob of picking 4 f?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*h = -457*h + 880 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4674 and -109\/9820074.\nAnswer: 9820074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 485201?\nAnswer: -485214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/5, 4, 0.2, 0.08, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1882 and 7960?\nAnswer: 7490360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -788, -1798, -3244, -5144, -7516, -10378, -13748?\nAnswer: -17644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 207 - 25*u**3 + 9*u - 281*u - 210*u**2 + 135*u - 343*u = 0. What is u?\nAnswer: -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6215 and 560485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 246*m - 734. Give t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r - 141. Let k(n) = 2*n - 2. Give -4*k(h) + u(h).\nAnswer: 4*h - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 40 = 3*n. Find the second derivative of -5*x + n*x - x - 8*x**3 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286681.\nAnswer: 43, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1110120?\nAnswer: -1110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7751*i**3 - i**2 + 3*i + 987 wrt i?\nAnswer: -46506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 653633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*k + y + 93, 0 = 4*k + 2*y - 154. Suppose 2*u - k = -16. What is the second derivative of u*q - 8*q - 10*q - 6*q - 23*q**3 wrt q?\nAnswer: -138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*w = 39 - 19, -3*w + 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 64. Suppose 67*g - 100 = p*g. Suppose 26*k - g = 21*k. What is the closest to 2\/7 in -4, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -1628788?\nAnswer: 87\/1628788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 266665*o**3\/3 - 5*o**2 - 26. Let n be y(-6). What is n rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r + r + (2*r + 2*r - 5*r)*(1 - 6 + 3) + r - 4*r + r + 88*r + 78*r - 6*r as o*r + y and give o.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -228108 divided by -1803\nAnswer: 76036\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 4)*(2*m - 3 + 3) - 3*m + 7*m + 6*m - 2*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 107051 (base 10) to base 9\nAnswer: 172755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -20. Suppose 65 = -p*q + 70. Which is the fourth biggest value? (a) -0.09 (b) -0.1 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6 = i, 69*u - 65*u = 4*i - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m**2 - 144*m + 140. Let b(a) = 2*a**2 - 21*a + 20. Let r(h) = 20*b(h) - 3*n(h). Let y(c) = 3*c**2 - 4*c + 7. What is 6*r(q) + 17*y(q)?\nAnswer: 3*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/278716 and 7\/186598?\nAnswer: 22018564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxot when four letters picked without replacement from {t: 2, o: 1, x: 2, j: 4, s: 4, m: 6}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-11))\/(31\/4*-2).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 4*j - 3*p, -2*p + 38 = 5*j. Let a = j + -2. Solve 4 + a = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1106?\nAnswer: 110b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*c + 8, w - 3*c + 4*c = -1. Suppose -w*a = -4*a + 7. Is (-4)\/14 - (-177)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224\/2 - 3*(-2)\/(-3)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 16 + 56*b - 7*b**2 + 42 + 5*b**2 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/837 and 43\/10974.\nAnswer: 98766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4*s + 4. Let y be p(-3). Suppose -5*i = -y*i - 6. Is (-12)\/18 + (-539)\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17146 + -194. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) 0.4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 6) to base 7\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.33 + 21.33. Let w = -564 - -4519\/8. Is w at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1627423 or -1627640?\nAnswer: -1627640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20507506 = -2*t + 3*l + 2307517, -5*t + 3*l - 45499995 = 0. Let b be -1*(-4)\/2 + t. Round b to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from {f: 12, r: 1, v: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*-1*5*sqrt(832)*-2.\nAnswer: -400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-25) + (-23)\/(-5). Solve 0 = 2*t - z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 11:02 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-28) - (-2)\/(-14). Which is the third biggest value? (a) 4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -223*c - 7124. What is v(-32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from {k: 1, o: 5, l: 5, z: 4, j: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 170213413.\nAnswer: 51064023.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 28 = -2*i - 7*d, -d - 23 + 36 = -3*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867928951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let g = l + -1. Let u = 0 + 2. Solve 5*k + s + 27 = -g*s, 4*k + 16 = u*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*b, -3*b - 241 = -5*a. Calculate the remainder when 106 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from lelfoffllfo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 + 6178*x**4 + 746938*x**3 + 31620030*x**2 + 557467488*x + 3493346616 = 0. What is x?\nAnswer: -41, -18, 3207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 6) to base 15.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78482295*n - 417054438.\nAnswer: -78482295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**2 + 0*y + 15 + 2\/3*y**3. Let g(r) = 13*r**2. Give g(f(l)).\nAnswer: 52*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and 0.14485492517.\nAnswer: -13.85514507483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 12*p + 3. What is the smallest common multiple of -3*4\/(4\/(-2)) and j(-13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let u(m) = -146*m**3 - 3*m. Let q(o) = 4*j(o) - u(o). Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 810 + 804 - 135*t + 130*t. Determine q(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/903 and 7\/4737.\nAnswer: 1425837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 + 295*i**2 = 0 for i.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgg. What is prob of sequence ggp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/5019 and -58\/3.\nAnswer: 5019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqxlxqqqq. Give prob of sequence qql.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 30. Let l be (0\/(-1))\/(-5 + (1 - -1)). Is c(l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/6 + 4835*t\/3 - 23377225\/6 = 0?\nAnswer: 4835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -15*h. Suppose h = 3*b - 6*b. What is the third derivative of 12*a**3 + 13*a**3 + b*a**2 + 6*a**3 - 3*a**2 wrt a?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 164*z**3 + z**2 + z - 1. Let w be l(1). Suppose 3*a = 2*a - w. What are the prime factors of (-4)\/3*a\/10?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 19*f = -6. Suppose -5*n + 2*n = f*l - 5, -3*n + 2*l + 25 = 0. Solve 5*h + 2 = 3*i - 1, 3*h - 5*i = -n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42422, -84816, -127196, -169556, -211890, -254192?\nAnswer: -296456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -231451+-229\nAnswer: -231680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*k + 78*k - 155*k = -8, -2*u + 3*k = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 + 24*m + 94. Let g be z(-13). What is the greatest common factor of 2370 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 312*v**2 + 12186*v - 23140 = 0. What is v?\nAnswer: 2, 65, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147.2 - 152.2. Which is the nearest to 0.1? (a) g (b) 18 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -163 - 20. What is the common denominator of -81\/22 and 3\/4*u\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-384)\/28*(-16)\/1056*-231?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7521075 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 502038359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:49 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times -3.2?\nAnswer: 9.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 76. Let p be (n - 0)\/((-3)\/(-6)*-2). What is the biggest value in 0.05, p, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 132. Calculate the highest common factor of 116 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84035396143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/502446 and 51\/49?\nAnswer: 502446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11315 - 11309. Calculate the least common multiple of j and 1762.\nAnswer: 5286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*a - 54. Let y be -3*(-13)\/a*1 - -2. What is the nearest to 1 in -9, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 + 855771*i = 0. What is i?\nAnswer: 0, 285257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73979\/2 or -0.2?\nAnswer: 73979\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2850*y + 136792. Determine f(48).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3282, -6560, -9838?\nAnswer: -13116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -2785\nAnswer: 222.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011100100111010 + -11000100?\nAnswer: 100011100001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*x - 548, x + 7*v = 3*v + 134. Let p = x - 91. Suppose -p - 27 = -2*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187485?\nAnswer: 3, 5, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 1692.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 129*m + 4498. What is the remainder when 614 is divided by y(-33)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*s - 4 = -884*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 237957\nAnswer: 8\/237957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 12, h: 2}. Give prob of picking 2 k and 2 h.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 23*w + 38. Let o be m(-14). Let s be (-1)\/(0 + (-1)\/(-3)). Let v be (s - 0 - o) + -2. Round v to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49431 is divided by 334.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}