diff --git "a/data/dm_maths/full_data_1/1783_11255.jsonl" "b/data/dm_maths/full_data_1/1783_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1783_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 559119173?\nAnswer: 37, 41, 167, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 1 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9937, 18, 89 in increasing order.\nAnswer: 18, 89, 9937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbhhnhnbhhbhh. What is prob of sequence bh?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7\/5, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 103 - 366. Suppose 0 = -15*z - 7 + s. Solve -29 = z*m - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1157, -9001, -30291, -71753, -140113, -242097?\nAnswer: -384431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386579\/43 + -8990. Find the common denominator of 37\/38 and j.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*c**2*w**2 + 79*c**2*w - 4*w**2 + 2*w wrt w?\nAnswer: -122*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -22*x**3 + 12*x**2 - 113*x - 8. Let y be a(7). Let k = -3486 - y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10*h*h*h**(-1\/2))**32)**(2\/47) assuming h is positive.\nAnswer: h**(736\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v. Let o be (-5)\/(1 - -4) - -7. Let u(r) = -23*r**2 + 11. Let w(q) = 6*q**2 - 3. Let i(z) = o*u(z) + 22*w(z). Determine i(b(f)).\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1126, 2475, 4034, 5797, 7758?\nAnswer: 9911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18190 is divided by 472.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 269*y**3 + 0*y + 3 - 133*y**3 + y - 8 - 134*y**3. Let p(h) = -3*h**3 - h + 9. Calculate 3*p(s) + 5*q(s).\nAnswer: s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17220 + 17220. Let v(a) be the third derivative of l + 0*a - 13\/24*a**4 + 0*a**3 + 8*a**2 - 11\/30*a**5. Find the second derivative of v(o) wrt o.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -394 + 390. Let f(m) = 3*m**2 - 2*m. Let c(t) = -13*t**2 + 8*t. Let v(n) = p*f(n) - c(n). Let r(l) = 139*l**2. Calculate v(r(b)).\nAnswer: 19321*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-45) - (-10)\/(-9). What is the third smallest value in 0.2, -1\/4, h, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/60)\/((-30)\/(-48)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 = b. Let d(l) = 22*l**2 + 2*l + 1. List the prime factors of d(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -25, -1500*l + 1496*l + 3 = -3*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (36 - (32 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 0*l + 3*l)*(-3*l + 0 + 0) + (-3*l + 4*l + 8*l)*(l - 4*l + 6*l) to b*l + p*l**2 + w and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25 + 22 - 129\/(-48))*(-4228)\/(-7). Which is smaller: a or -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) + sqrt(130) + sqrt(130)*-1 + sqrt(130) + sqrt(130))*2 + sqrt(130)*-2*-2)\/(sqrt(60)\/sqrt(150)*3)*2.\nAnswer: 110*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101111011011010 (base 2) to base 7.\nAnswer: -2302030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984*r + 22412 = -1553*r for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**8\/2240 + z**7\/84 - 13*z**6\/60 + 7*z**5\/5 + 65*z**4\/4 + 2*z - 21. Let d(x) be the third derivative of r(x). Factor d(b).\nAnswer: 3*(b - 2)**2*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1bfab5?\nAnswer: 1bfab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**6\/180 - 7*n**5\/60 + 61*n**4\/72 - 7*n**3\/3 + 3*n**2 + 265*n + 1. Factor y(m).\nAnswer: (m - 6)**2*(m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from {x: 1, q: 3, i: 12}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:37 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4401*w**3 + 1118*w**3 + 1115*w**3 + 1115*w**3 + 1055*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/20*300\/18. Suppose p*n - 24660 = 14*n. Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/132)\/((-150)\/900).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 = -113*f - 40*f + 1336 + 210 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 1. Let c(w) = -84*w**2 + 17*w + 3. What is -c(f) - 5*k(f)?\nAnswer: 84*f**2 - 7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7308138669?\nAnswer: 3, 13, 187388171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1010*q**3 - 28*q**2 - 13*q + 12. Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/16 (b) -12\/311 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(300) - sqrt(300)*-1*-1 - (sqrt(300) + -1)*-1))**2.\nAnswer: -60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.3478 to 0 decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + j - 68 = -104, 4*f - j - 24 = 0. Solve -f*y - 19 = 3*c, -13*y - 4*c - 21 = -12*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1303 + 693. Let n(o) = 33*o - 141. Let x be n(-4). Let a = x - b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)*a)\/(a**(1\/16)*a) assuming a is positive.\nAnswer: a**(-41\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*t**2 + 244*t**3 + 1 - 3 + 628*t**2.\nAnswer: 244*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28294?\nAnswer: 2, 7, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4.9 (b) -0.4 (c) 15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.2 (c) 2\/9 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/30, -52, -4, -39?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4067 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1413 + -6.1413. Which is smaller: 57 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -m + 5*l, -19*m + 14*m = 3*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3233 - 1079 - 1077 + 1835*i - 1077 to the form a + g*i and give g.\nAnswer: 1835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13431 and 40293?\nAnswer: 40293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - x - 2. Let s(k) = 6*k**2 + 4*k + 6. Let h(b) = b**3 + b**2 - 2*b + 9. Let q be h(0). Suppose -40 - q = -7*u. Calculate u*j(y) + 2*s(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 402378*c + 5230562. What is q(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + v - 10, -32*s + 2*v = -27*s - 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 10*a + 5. Let x(m) = m**2 + 11*m - 5. Let k(l) = -4*n(l) - 3*x(l). What is the remainder when k(4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 5, 2, 149, -4 in decreasing order.\nAnswer: 149, 5, 2, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 5\/14, 247.6?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 222?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (21 + -2 + -28).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 25*u + 92. What is the smallest common multiple of m(28) and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17706 = 3*o, -4*o = -7*o - g + 17710. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14*m = 11*m + 4442, -12*b + 3*m = -13254. Calculate the remainder when b is divided by 218.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/15*10\/4. Suppose 0*z = z + g. Let i be -2 - ((-3)\/(-1) + -1). Which is the second smallest value? (a) i (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100431 - 400?\nAnswer: -101031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -949238 or -949236?\nAnswer: -949238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c05aac + 3?\nAnswer: 2c05aaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 + 2?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 180*h + 2. What are the prime factors of a(1)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 18*x**2 - 49*x - 15. Let s be l(11). Let j = s - -3624. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8575125, 8575122, 8575117, 8575110, 8575101, 8575090?\nAnswer: 8575077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*d**3*g**2*o*q + 2*d**3*g**2 - d**3*o - 9*d**2*o*q + d*g**2*o + 3*g**2 + 75*q wrt d?\nAnswer: 864*g**2*o*q + 12*g**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*l - 26. Let z(k) = -5*k + 1. What is z(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23695780.\nAnswer: 2, 5, 31, 38219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -555, -850, -1649, -3204, -5767, -9590, -14925?\n\"Answer: -42*t**3 - t - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*c - 3\/7 - 3\/7*c**2.\nAnswer: -3*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -276\/1815595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*n - 0*n - 707, 2*p = -5*n + 479. Let l = p + -158. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = 0, -4*t + 2*t = 2*f + 36. Let q = t - -22. Calculate the highest common factor of 49 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -4, -1, -2243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 6 = -20*j + 171 + 90 - 4, 2*j + 2 - 58 = 10*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -267, -385, -481, -543?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 173 = -2*u, 0 = -652*z + 648*z - 5*u + 219 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)\/((k\/(k\/k**(-2\/3)))\/k))\/(k\/k**(2\/5))**(4\/11) assuming k is positive.\nAnswer: k**(1838\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.974?\nAnswer: 0.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16387084937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 2056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1321 and 532207.\nAnswer: -70304.5447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23951 from -192219326.\nAnswer: -192195375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165946493.\nAnswer: 103, 1611131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-58)\/8 - (-1)\/4. Let c(m) = -m**2 - 7*m + 2. Let t be c(w). Let f(g) = g**3 - g**2 + 1. What is the units digit of f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-200)\/(-3))\/(1\/769*11\/5775). What is c rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/5 - (44 + -52))\/((-2)\/12).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1690, -2 in decreasing order.\nAnswer: 5, -2, -5, -1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4*(-36)\/27*(-4)\/78?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x + 9. Let v = -336 - -336. Let n be o(v). Solve n*y = 6*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*x - 7*x - 12, 0 = -4*x - 3*f + 19. Calculate the remainder when 25 is divided by (-6 + 19)\/(1\/x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5980.\nAnswer: 1\/1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29911170, -59822360, -89733550, -119644740?\n\"Answer: -29911190*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 7*c - 2. Let p(x) = x**2 + x + 1. Let t = -7 - -2. Let y(b) = t*p(b) - s(b). Let m = 13 - 11. Calculate y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402\/8 + 7\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 85700*i - 46 = -85701*i, 2*a = -2*i + 100 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 20. Let s(d) = -d**3 + 8*d**2 - 6*d + 13. Let j be s(7). Calculate the highest common factor of j and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/25568 or 1?\nAnswer: 9\/25568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 33*i + 6764. Determine u(-52).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzdz when four letters picked without replacement from ddzddzzzzdzdldd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240811, -240690, -240489, -240208, -239847?\nAnswer: -239406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 271.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-5) - 0) + 3. Which is bigger: y or -2\/633?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - -10.93. Let d = n + -11. Which is smaller: 9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 709?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567173.\nAnswer: 37, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -339402000 to the nearest one million.\nAnswer: -339000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -480*q + 75. Let h(v) = 13*v - 2. Calculate 75*h(o) + 2*w(o).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 16*r - 9*r)*(2*r - 2*r + 2*r).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvkkvkbkbivbikikb. What is prob of sequence iib?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3009 from -85.\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.03 + 1.0298772. Round j to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 455 = 5*h, -i - 4*h - 1 - 115 = 0. Let t = -92 - i. Suppose t*f = f + 45. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w**2 - 5*w - 9. Let d(l) = -11*l**2 + 5*l + 8. Let j(f) = -4*d(f) - 3*y(f). Let a(h) = 4*h**2 - 2*h - 2. What is -8*a(q) + 3*j(q)?\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u - 2. Let d be l(3). Suppose -3*v + d = 2*x, 3*v - 1 = -5*x + 9. What is the smallest common multiple of 16\/(21\/((-252)\/24) + 3) and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4245, -2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 7*f**2 + 7*f - 7. Let x(n) be the first derivative of n**4\/4 + 4*n**3\/3 - 2*n**2 + 4*n - 2. Give 4*k(z) + 7*x(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 23*m = 372. Let b = m - 28. Let g = -130 - b. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -4.26.\nAnswer: -3.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let h(t) = -t + 8. Let m be h(5). Let g(l) = m*l + 9*l**2 - 3*l. Determine g(z(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.86 times -1036389\nAnswer: -1927683.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 - 5*q - 5. Let h be i(-2). Let l be (12\/(-42))\/(h\/(-14)). Differentiate 10 + 21*m - l - 14 with respect to m.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 25*w**3 + 15*w**2 - 225*w + 270.\nAnswer: -5*(w - 3)**2*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/11, 0.1, 548, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + 2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-8)\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 3. Is v(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(960) + (sqrt(960)*-1 - sqrt(960)))\/(sqrt(30)\/sqrt(150)).\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073250186355 less than 14?\nAnswer: 13.926749813645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 + k + 5. Let u be m(-7). What is the common denominator of u - (219\/(-20) + 3) and -93\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156970 divided by 14270\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 454.25 not equal to 1603\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-s**2 - 2*s**2 + 2*s**2) + 45964*s**2 - 22982*s**2 - 22983*s**2 - 8 - 14*s.\nAnswer: -2*s**2 - 14*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16357 (base 9) to base 3.\nAnswer: -120101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/90*175 + (-4)\/9 + -3.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-4851)*77)\/((-62)\/(-6)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1544 and 10888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3291089283.67 and 3.\nAnswer: -3291089280.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/45*(-63)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + k**4 - 2 + 3*k**2 + 1 to the form g + l*k**4 + a*k + u*k**2 + b*k**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -9) + -43 - -25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 42 = -5*y - 0, -4*y = 4*z - 32. Suppose -y*w + 14*w = 20. Suppose w*r + 5*u = 565, -3*r + 207 = 5*u - 134. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -8, -1\/8, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(33419438\/200516664 - (-1)\/(-6)). Let d = l - -23139444. Round d to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2558 (base 16) to base 9.\nAnswer: 14102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683518 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 13*c**2 - 10*c + 3. Give p(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2827, -5023, -7221, -9421?\n\"Answer: -q**2 - 2193*q - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 539 + -533. Let a = 26 - 44. List the prime factors of 412\/6 - f\/a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**6\/24 - 3*l**5\/4 - 35*l**4\/8 - 55*l**3\/6 - 59*l**2\/2 + 75*l. Let q(a) be the first derivative of d(a). Factor q(v).\nAnswer: 5*(v - 11)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from voinnoowzzowo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*c + 43, c = 4 - 0. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168770 and 120550.\nAnswer: 843850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 l when three letters picked without replacement from {i: 2, u: 1, n: 2, h: 1, l: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w**2 + 101*w - 13. Is 5 a factor of f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 22985, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -17. Let b = -4 + g. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**3 + 3*n**3 + 3*n**3 + (-12 + 25 - 210)*(-2*n**3 - n**3 + n**3) + 0*n**3 + n**3 - 2*n**3 in the form u*n**3 + c*n + w*n**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 117 = 138 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-102))\/(3\/(-4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 8*f**2 - 334799470 + 334799470.\nAnswer: -2*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z**2 - 15*z - 6. Let o(y) = 8*y**2 + 8*y + 3. What is -11*o(f) - 6*p(f)?\nAnswer: 2*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9090, 12975, 16814, 20583, 24258?\nAnswer: 27815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117.9906 + 118. What is r rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -651, 2\/13, -0.01 in ascending order.\nAnswer: -651, -0.01, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*w = -2*g + 4, 12 = 2*g + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**2 + 38*l**2 + 46*l**2 - 122*l**2 - 139*l**2.\nAnswer: -199*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*r - 19 = 3*g, 4 = -3*g + 5*r. What is the units digit of (-861)\/(-7)*(-1)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*k**2 + 38*k - 23*k - 3*k to the form g + r*k**2 + w*k and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24867539?\nAnswer: 173, 143743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7527 + 30581\/4. Let v = -105 - -224. Let w = m - v. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:19 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18*y + 23*y - 2680 = 0, -4*y - 1622 = -3*q. Is q a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2\/2 + 10599*x + 18905679\/2 = 0?\nAnswer: -6019, -1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6714 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810 and 2064690.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*-1*630\/210?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 4*t + t + (1 - 4 + 2)*(-1 + 1 + 2*t))*(188*t**4 + 207*t**4 + 168*t**4 - 166*t**4).\nAnswer: -4764*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 2, -88, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 12 = -5*a. Suppose -o = -5*o. Suppose 4*y = -3*n + 1 + 2, 2*n - 5*y - 2 = o. Calculate the highest common factor of n and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218312.\nAnswer: 2, 29, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 4*r - 3*r - 3*r. Let m(t) = -4*t**2. Determine m(u(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*o + 62, -o - i = -2*i - 34. Let u(b) = -4*b - 3. Let g be u(4). Let d = o + g. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, 0.2, -8\/47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 127 = -37. Let o = 174 - l. Suppose -2*m = 14 - o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 122472640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -22*w. Let j(s) = 52*s. Let t(z) = -2*h(z) - j(z). Let o(y) = -94*y**2. Calculate o(t(f)).\nAnswer: -6016*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10898 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 0 - 295*i + 291*i.\nAnswer: -4*i - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.69890439 and -4.313123.\nAnswer: -3.61421861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1046*g**3*k**2*n*p**2 - 2*g**3*k*p**2 + 2*g*k*n*p - g*n + 2*k**2*n*p**3 - k*n*p**3 + 56*p**2 wrt k?\nAnswer: -2092*g**3*n*p**2 + 4*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 2*c + 3. Let i(x) = 20*x**2 - 10*x - 14. Suppose z + 1024 - 959 = -5*t, -4*z + 62 = -3*t. Calculate t*u(g) - 3*i(g).\nAnswer: -4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*h - 4*b + 80 = 94*h + b, 60 = -4*h + 3*b for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -689 less than -689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -1\/7, -3\/5, 16, 425?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28951*d**6 - 20151*d**2.\nAnswer: 3474120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.6 + 7. Let d = l - 1. Which is the closest to -0.3? (a) -2 (b) -1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v*y**2 - 6124*v + 167156*y**2 - 18 wrt y.\nAnswer: -2*v*y + 334312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -697, -1691, -3113, -4981?\nAnswer: -7313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - c, 0*c + 25 = -4*u + 5*c. Suppose 3*y + y - 3*f = 70, u = -3*f - 6. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17001069217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 292\/219*(9\/118)\/3\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4665 - 4665.4938. Let w = y - -0.5. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**2. Let k(g) = 38*g + 12. Calculate h(k(w)).\nAnswer: 11552*w**2 + 7296*w + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-21)\/6 - -1). Solve -5*n - 14 = -4*k, -4*k + 0*k - 3*n = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-20)\/(h\/(h**(-15)\/h)))\/((h*h**(6\/19)*h)\/h**(1\/3)) assuming h is positive.\nAnswer: h**(-2222\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171327992 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78328.69t to micrograms.\nAnswer: 78328690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 33*q + 32 = 0. What is q?\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 2*p**3 - 2*p**3 + (-p + 2 - 2)*(p**3 - 9*p**3 + p**3).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-21)\/(-36) - (-12)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + r - 2738, 1 = 2*r - 3. Suppose -3008*u + 0*u**4 + 568*u - 160*u + 1352 + d*u**3 + 2*u**4 - 1268*u**3 + 1146*u**2 = 0. Calculate u.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175.038 * 594\nAnswer: 103972.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2\/5 + 2\/5*u**2 - 4\/5*u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289737*k + 2991*k**2 - 289737*k + 46*k**3 wrt k?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 131 + 19. Let v = -152 + 96. Let u = v - r. Put u, -5, 7 in ascending order.\nAnswer: -5, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*r**2 - 2*r**4 - 273*r**2 + r + 2*r**3 - 4 - 3*r**3 as o*r**3 + n*r**2 + u + w*r + f*r**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/30 - 9*a**4\/4 - 17*a**3\/2 + a**2 + 97. Let z be l(28). Solve -t + 4 = 2, -t + z = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 52\/5 of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030494?\nAnswer: 2, 3, 41, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/2, 6\/29, -34, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d - 68*d + 34*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Factor 0*d**4 + 3*d + 8*d**2 - c*d**5 - 4*d**4 - 2*d**2 - 2*d**4.\nAnswer: -3*d*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from gpzpl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7343 + -4106. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 7:07 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (5 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ce + -4?\nAnswer: -6d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*(q\/((q**6*q)\/q))\/q)*q\/(q\/q**(-5\/6))*q**(2\/13)\/q*q**0 assuming q is positive.\nAnswer: q**(337\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13909*l + 22. Let a be j(10). Let h = 421112 - a. Round h to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 172304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*r + 165*r = -727*r - 9*r - 213095 for r.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038123 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/2))**(2\/9)*f\/((f\/(f\/f**14*f))\/f)*f*f**(4\/5) assuming f is positive.\nAnswer: f**(-409\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/14)\/((-36)\/(-126))*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2. Let k(b) = -66*b. Calculate c(k(o)).\nAnswer: 4356*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:09 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7571974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**3*m**2 + 140*d*m**3 + 16079*m**3 wrt d.\nAnswer: -12*d**2*m**2 + 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-224)\/(-35) + (-2)\/5. Let v be 21\/6*w\/7. Let p(c) = -c**3 + 2*c**2 - 3*c + 2. Determine p(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from zdidbvpv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2240043123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 4*b**2 - 4*b + 2. Let j be q(3). Is 811\/2*(1 - j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 121*f\/4 - 999.\nAnswer: (f - 148)*(f + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/5744 and 5\/(-7) - -508*45\/(-181440)?\nAnswer: 51696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(363) - (sqrt(363) + sqrt(363) + (sqrt(363) + (sqrt(363) + 1 + sqrt(363) - sqrt(363)) - sqrt(363)))))**2*-4*2.\nAnswer: -11648 + 704*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311.779 + -312. Let j = h - -0.1846. What is j rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 121 = -8*a. Let q(w) = 20*w**3 + 11. Let p(i) = -7*i**3 - 4. Give a*p(b) - 4*q(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 5. Let z be v(7). Let d be (-12)\/z*(-2)\/4. Suppose -18 = 3*i - 0*r - 2*r, 4*i + r = -13. Sort d, 2, i in decreasing order.\nAnswer: d, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*r + 3434326 + 3975664, 5*b - r = -12349995. What is b rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 700*g**2 + 14540*g + 31920.\nAnswer: 5*(g - 114)*(g - 28)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let w be (3 + -29 - -1)\/1. Calculate the remainder when (32\/(-10))\/(v\/w) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2745, 2744, 2743, 2742, 2741?\n\"Answer: -y + 2746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.9 - 15. Let g = 0.55 - 0.53. Is v > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*u**2 - 676*r**3*u - 29*r**3 - 225445*r**2*u**2 - 2*r*u**2 - 11*r - 2 wrt u?\nAnswer: 2*r**3 - 450890*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -44*o**2. Let t(k) = -k**2. Calculate t(s(j)).\nAnswer: -1936*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60459, 60458, 60457, 60456, 60455, 60454?\n\"Answer: -y + 60460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*y + 2455 + 2833 - 1102 = -1089 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let b(k) = k**3 + 16*k**2 + k + 18. Let w be b(-16). Let o be -5*(c - (w + 1)). Solve 0 = v + 4*v - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2027 and -277.\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 + 5*a**3\/6 + 2*a**2 - 14*a. Let n be u(5). Suppose -152 = -6*z + n. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/111 and 31\/827490.\nAnswer: 30617130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 5*u + 27, 2*l = -4*u + 6. Suppose 0 = 2*a - 0*a - 6. Let w be (-3)\/9 - 5\/a. Put l, w, 0 in descending order.\nAnswer: 0, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -922b47 (base 14) to base 5\nAnswer: -2230044310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1358*f - 18 = 1349*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 685 - 678. Put 0.4, 1\/4, 1, w in descending order.\nAnswer: w, 1, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(1\/4)*(l\/l**(-1\/2))\/l**(-2) assuming l is positive.\nAnswer: l**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (102\/12 + -7)*(-20)\/(-6). Solve -3*t - q = -5, -3 = 5*t + s*q - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 - 7*j - 11. Let n be m(8). Let a be 1\/n + (-3)\/(-9). Let t be (-3)\/(-18)*(a + 2). Sort 1, t, 5 in increasing order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2 - 612. Let c(i) = 111*i**2. Give c(w(h)).\nAnswer: 444*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 48, 25, -6, -33, -44, -27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95 - 64.20016?\nAnswer: -65.15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1816 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -49251180 to the nearest 1000000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 7) + (-21 - -60). Solve 225 = s*c - 9 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -13. Let u = 17 + n. Solve m - 5 = g, -g - 5*m + u = -m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 2*m**2 - m + 4*m. Let t(g) = 23*g - 7. Let y(w) = 11*w - 3. Let v(z) = 3*t(z) - 7*y(z). Calculate i(v(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(2*(sqrt(448)*3 + 5))**2.\nAnswer: 1920*sqrt(7) + 32454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3, 9, -3, -5\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 14*l - 11*l in the form k*l + i and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1191 and 1191.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 2*y**3 + 27.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136.94 + -138.94. What is the nearest to 2\/3 in 4, v, -38\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - 4 - ((9 - 10) + -30).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.7394 (b) -0.157 (c) -0.5 (d) 0.2 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 12 - 8. Let t be -2 + 0 + -5 + g. Let y(r) = 5*r + 4. Let s(n) = -14*n - 12. Let u(v) = 3*s(v) + 8*y(v). What is u(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 3. Let s(t) = -t + 2. Let m(j) = -j**2 - 2*j + 5. Let p be m(-3). Let n(z) = p*y(z) - 3*s(z). Let k(q) = 9*q**2. Give k(n(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -1908?\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.15366 - 538746?\nAnswer: -538747.15366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f - 3. Let g be c(-2). Let v(q) = q**3 + 7*q**2 + 2*q + 4. Determine v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = l - 10 + 40, 4*s = -5*l + 18. Let h be (1 + (-10)\/4)\/(s\/(-14)). Suppose h*b - 48 = -5*b. What is the remainder when 23 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-82\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1436, 4267, 9878, 19661, 35008, 57311, 87962, 128353?\n\"Answer: 232*o**3 - 2*o**2 + 1213*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = -2*c. Let m(i) = -2*i**2 + 9*i + 11. Let p(v) = 6*v**2 - 27*v - 33. Let o(h) = 17*m(h) + 6*p(h). Is 16 a factor of o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 16 = 5*x + f, 0 = f - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005647 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-16 - -12) - (0 + 9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 1847760.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*c = 24, -5*c + 579304 = d + 579419 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080730924 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cofcwccpzffwpfcffcc. Give prob of sequence cofp.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000208 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 59 = -14. Let d be 37\/13 - (t + 18). Let p be 1\/3 - (-13)\/(-3). What is the nearest to -0.1 in 0.2, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - 36 = -35*l. Factor -2\/7 + 2\/7*j**2 - 2\/7*j**l + 2\/7*j.\nAnswer: -2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2 + n + 6841. Let l be 0*4\/(-8 - 0). Is g(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39194858 to the power of 1\/2, to the nearest integer?\nAnswer: 6261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ooogtogtgggo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-70))\/(-9))\/((-2)\/8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2\/8 - 1404663*x\/2 + 657692714523\/2 = 0. What is x?\nAnswer: 936442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - f**2 + 1 + 1 + (-2 + 2*f**2 + 2)*(-5 + 5 - 4) - 5*f**2 - 4*f**2 + 5*f**2 in the form x + t*f**2 + s*f and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v + 8*v + 22*v**2 - 9*v**2 - 7*v - 12*v**2.\nAnswer: v*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1225039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 14*r + g + 103 = 0, -3*r + 4*g + 152 = 0. Suppose -v = -5*t + r, -3*v + 35 - 4 = 2*t. Calculate the smallest common multiple of t and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, 1 d, and 1 u when four letters picked without replacement from {p: 3, e: 1, d: 2, s: 1, u: 1, a: 5}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2 = 2*b - 2*s, 0 = b - 3*s + 1. Suppose j = -b + 1, j = -4*t + 83. Which is smaller: 22 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/269? (a) 0.5 (b) -5 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 8:41 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466168.6ml to litres.\nAnswer: 466.1686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3979*p**5 + 4*p**3 + 10641*p wrt p?\nAnswer: -79580*p**3 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -0.07, 13, -0.5, -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 95798404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*l - 38, 4*q - 20 = -0*q. Let k be 19 - (-3 - -4) - -1*1. Let p = 12 + k. What is the remainder when p is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277 - 149. Suppose -4*o - 5*n = -n - 112, 5*o + n - y = 0. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u = -2540. Let w = u + -1265. What is the common denominator of 48\/7 and w\/(-36) - 30\/(-135) - -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77620415*i + 4482657 wrt i.\nAnswer: 77620415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -8*l**3\/3 + 1674. Let y(q) = -264*q**2. Calculate y(d(o)).\nAnswer: -16896*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/714 and 18\/90 + 1772\/1680*2.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 15 = -4*m, 10*m - 8*m - 15 = -f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-595)\/(-42)) - 0*(-2)\/106?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -34, -73, -124, -187?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 4*l + 324 = -4*c, -2*l = 0. What is the tens digit of 91476\/c + 1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + (-12 - -12) - 30) + 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sknggkvkvnkksvkkk. What is prob of picking 1 n, 1 k, 1 v, and 1 g?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -17*o - 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2240948 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 12. Suppose 3*f + 25 = 2*b + 3*b, -2*b + 2*f = -14. Is n\/b - (-26 - 2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5\/(-15)*15*-204 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 + b**2 + 7\/2*b**3 - 20*b. Find the first derivative of u(r) wrt r.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 3*z**2 - 3*z - 2. Let r be i(-3). Let f = r - 7. Which is smaller: -1\/2 or f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 3, m: 2, w: 6, r: 3, o: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/2)\/(((-4)\/10)\/((-62)\/310))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02349 * 15.552\nAnswer: -0.36531648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 1, z: 5, r: 4, p: 1}. What is prob of picking 3 z?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**4 + 14*q**4 - 26*q**4 + (-q**2 + 5*q**2 - 2*q**2)*(0*q**2 - 3*q**2 + 4*q**2) - q**4 - 18*q**4 + 31*q**4)*(0*q + 2*q - 7*q).\nAnswer: -55*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/87, 10.3712, -2\/7 in ascending order.\nAnswer: -2\/7, 2\/87, 10.3712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4676 + 9.5\nAnswer: 9.0324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1018073 to four dps.\nAnswer: 0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7175 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 55, 6, 5, 1 in increasing order.\nAnswer: 1, 2, 5, 6, 16, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 238.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = 4*o, -3*o + 6*z - 1 = z. List the prime factors of o\/10 + (-3110)\/(-50).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -1559, -4, -7 in descending order.\nAnswer: -4, -7, -74, -1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1)*-1 - (-18)\/2. Suppose 9657 = l*u - 12398. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -23 + (4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/8 + 10203*q**2\/8 - 3302955*q + 506070919\/2 = 0. What is q?\nAnswer: 79, 5062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 17 = 8*d. Let j(c) = c**2 + 1. Let t(s) = 9*s**2 + 12. Determine d*t(q) + 12*j(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence err when three letters picked without replacement from rgmxreuu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11184 and 72.\nAnswer: 33552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500243957 to the nearest integer?\nAnswer: 22366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -148*k - 53 + 0*k**2 + 0*k**3 + 17\/2*k**4. Find the first derivative of l(j) wrt j.\nAnswer: 102*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2112))\/((-1)\/(-5)*(-2)\/12*10).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:21 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222924385?\nAnswer: 3, 5, 7, 2053, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 31316 and 31316 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 307 (c) -0.3368 (d) 0.1 (e) -4 (f) 3 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1567853 - -49.16.\nAnswer: -1567803.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 970 or 969?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = 5*i - 130 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -731*s*z**4 + s*z**2 + 2*z**2 - 27 wrt z.\nAnswer: -17544*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 19 - 19, 70 + 65 = -27*g + 2*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4442057684 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 442*l**2 + 1324*l - 6.\nAnswer: 2*(l + 3)*(221*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1170 (base 13) to base 9.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103139.01 minutes to hours.\nAnswer: 1718.9835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4088.94654 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122330013230 (base 4) to base 9.\nAnswer: -14253212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - 0.12. Let w = o - -7.2. Let g = w - 3. Which is the second biggest value? (a) g (b) -2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26493589 to the power of 1\/2, to the nearest integer?\nAnswer: 5147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 19*q - 24. Let y = 28 - q. Calculate the smallest common multiple of 10 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 1}. Give prob of sequence zc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:18 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 8, 1.\nAnswer: -183, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-728)\/(-42))\/((-88)\/(-336) + 6\/84).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)*s**(9\/5)*s)**2 assuming s is positive.\nAnswer: s**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -m + 120, 0*f = -f - 3. Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1278 + -391. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1064 and 77\/18?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 h when three letters picked without replacement from hitihiithhiii.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8566.798 and -0.5.\nAnswer: 8566.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 168731000 rounded to the nearest one million?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 617851.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 7*m - 4. Let s(f) = 5*f + 1. Let o be s(1). Calculate z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w - 8. Let z be a(4). Solve 12 = -4*s + z*t, -4*t + 9*t - 7 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2212 and 134379?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 + 344*l**4 - 14426*l**3 - 33060*l**2 + 121104*l = 0. Calculate l.\nAnswer: -4, 0, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-240)\/440))\/(((-7)\/126)\/(2\/(-3))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.62, -2\/111, 2\/41, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 711 - 7827\/11. Sort 0.2, -1\/8, -4\/5, c, 1 in increasing order.\nAnswer: -4\/5, c, -1\/8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279\/488 - 12\/61. Which is the smallest value? (a) o (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 185*d**2 + 484*d + 31. Give w(-3).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/5 + 7*z**4\/24 + 5*z**3\/2 + 25*z**2. Does 7 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -448*o + 55. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a + 1. Let b(j) = 3*j**3 - j**2 - 2*j - 1. Let h(d) = -b(d) - 4*w(d). Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (28\/(-21) + 0)*(-195)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5042*x**3 - 393098*x**2 + 7654998*x + 270738 = 0.\nAnswer: -89\/2521, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178514 and 574.\nAnswer: 178514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 522\/8 + 2\/(-8). Let u = -247\/4 + g. What is the common denominator of u and ((-34)\/4)\/((-5)\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 48*z**2 - 321*z + 62. Let x be y(-40). Which is smaller: -46 or x?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 28\/(-21)) + (-1)\/12. Suppose 0 - 1\/4*w**2 + z*w**3 - 1\/2*w = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q**2 + 8\/25*q**5 + 1\/2*q**4 + 4\/15*q**3 + 1\/15*q**6 + 163 + 0*q. What is g in b(g) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -19*(-1 - -2*1). Let j = -78 + 41. Let l = b - j. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/22, 1\/9, 0.2 in increasing order.\nAnswer: -1\/22, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 118, 46, -70, -242, -482, -802, -1214?\nAnswer: -1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*z = 20, 0 = 4*t - 9*t - 3*z + 15. What is the units digit of (-315)\/14*(-8)\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2. Let r(w) = 8561*w**2. Give t(r(a)).\nAnswer: 219872163*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 435, 767, 1325, 2109, 3119, 4355?\n\"Answer: 113*n**2 - 7*n + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(2*sqrt(448) + -5 + -1)*3 + -1)**2.\nAnswer: -993024*sqrt(7) + 9475489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24880 - 16*c + 0*c + 4*c + 14206.\nAnswer: -12*c + 39086","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*r**2\/4 + 3321*r\/4 + 2529.\nAnswer: -(r + 3)*(17*r - 3372)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4076 + 10441?\nAnswer: 14537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:36 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12246, 48706, 109468, 194538, 303922?\nAnswer: 437626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 2*g**2 + 2*g**3 + 2*g + 416 - 414 + 2*g**4 to f*g**3 + z + y*g**2 + j*g**4 + k*g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/98 - 205\/7. Let g = s - -53. Calculate the highest common divisor of 72 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4246800 divided by -600?\nAnswer: 7078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19249 is divided by 133?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Let v(f) = -86*f + 4 + 46*f + 39*f. Let q(o) = 1. Let n(p) = p**2 - 3*p + 1. Let z be n(2). Give s*q(l) + z*v(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (1 - 4) - -3. Suppose -2*w = -2*x - i*w + 79, -w = -2*x + 73. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.696664 milligrams?\nAnswer: 6696664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4912018 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 6.8. Let n = h + -1. Which is the second biggest value? (a) n (b) -1 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17852195 is divided by 5950729.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 531, 1800, 4275, 8358, 14451?\nAnswer: 22956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 21. Let m = q + 7. Solve n - p + 6*p - 23 = m, n - 5*p = -27 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 times 5?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451 a factor of 1360796825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = m + 1, -4*x + 2*m + m = 16. Let a(l) = 37*l**2 - l - 1. List the prime factors of a(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-4*sqrt(88) + sqrt(88)))\/sqrt(8)*-4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*4\/2. Let b = -4 + q. Let r = -4074 + 4077. Put r, 0, b, 4 in ascending order.\nAnswer: b, 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1040, 1041, 1042?\n\"Answer: i + 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 - 25 = -u, v + 13 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -5096\/2725 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1a51 (base 11) to base 12\nAnswer: -1605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27778 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 = 8. Suppose -6*m - 48 = -a*m + 2*k, -60 = 5*m - k. Let b be 5 + -15 + (2 - 5). Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3731 - -73?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 4\/3, 1, -9, -0.3 in increasing order.\nAnswer: -9, -3\/2, -0.3, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10\/47, 3\/2, 0.019, 0.2 in decreasing order.\nAnswer: 6, 3\/2, 10\/47, 0.2, 0.019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14110351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(0 + 5 + (-88)\/12). Are f and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000115759 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/g**6)\/(g**0)**(-3\/25))\/(g*g\/((g*g\/(g*g\/((g**(2\/21)\/g)\/g)))\/g)*g\/(g\/(g**(1\/7)*g))*(g\/g**1)**46) assuming g is positive.\nAnswer: g**(-295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -249066 and -13299260.\nAnswer: -13548326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = 2*o, -2*n - 2*n - 3*o = 9. Suppose -4*l + 23*l - 532 = n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8885.\nAnswer: 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**19\/m*m**(-12)*m*m\/(m*m**(-3\/7))*m*m\/m**(1\/36) assuming m is positive.\nAnswer: m**(2369\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3105\/(-1380))\/(150\/(-8))*1?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*(sqrt(325) + (-2 + sqrt(325) + sqrt(325) - sqrt(325))) + -2))**2.\nAnswer: -7680*sqrt(13) + 333376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a9 - 1?\nAnswer: -5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2399.082 kilometers?\nAnswer: 2399082000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 4204*b + 72345. Give p(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tct when three letters picked without replacement from {t: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 3471966316.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20714, -20065, -19414, -18761, -18106, -17449?\n\"Answer: r**2 + 646*r - 21361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**7\/105 + m**4\/24 + m**2\/2 + 2. Let b(n) be the second derivative of h(n). Find the second derivative of b(g) wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -3 + 1 + 1 - w**2 + w - 5*w. What is the least common multiple of 16 and c(-9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1447543 divided by -875\nAnswer: -1447543\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose 0 = v*h + h. Suppose h = -5*w + 6*w - 12. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2 + d**2 + 11*d**3 + 0*d + d - 2*d - 10*d**3. Let g be r(0). Solve -5*n = -g*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1824 or 29334?\nAnswer: 29334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/5 + v**4\/12 - 23*v**2\/2 - 17*v. Let u(s) be the first derivative of z(s). Find the second derivative of u(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*f - 35, 0 = 3*a - 4*a + f + 9. Suppose 29 = a*c + 3*n - 26, c - 11 = -2*n. Solve -4*b - c = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74488.65 litres to millilitres.\nAnswer: 74488650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3335?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085 plus -0.2?\nAnswer: 2084.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let u(i) = 860*i. Let k(j) = 39*j. Let z(r) = 45*k(r) - 2*u(r). Calculate z(b(t)).\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - d - 484, 2*h = -4*d + 111 + 881. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 9 = 22*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3683 + -3682. Put -639, 0, d in decreasing order.\nAnswer: d, 0, -639","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066304 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 399643?\nAnswer: 399643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3868 - -2911. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = u + 3*o - 0*o, -4*u + 4*o = -36. Let d(i) = i - 1. Let f(y) = 3*y - 5. Let s(p) = u*d(p) - f(p). Let k(a) = 4*a + 4. What is k(n) - 6*s(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -83, -101, -119, -137?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127438 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a, 210 = -m - 4*a + 2792. Suppose -2278 = -9*l + m. Does 36 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2568600 and 33391800?\nAnswer: 33391800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7969516 and 28.\nAnswer: 55786612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = d. Let s = d + 45. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 20 = 0. Suppose -r*a = 4*y - 5, 5*a - 1 = 4*y + 4. Let b be 0\/1*(-1 - y). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*t + 24. Suppose 4*h - h + t = 0. Let g = 16 + h. What is the least common multiple of g and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1904 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 + 268*p**2\/7 - 5084*p\/7 + 19220\/7.\nAnswer: -4*(p - 31)**2*(p - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -27.4 and -3\/211 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.6 plus 0.837874?\nAnswer: -26.762126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 3 + 2*x**2 - 2*x**2 + 5*x - 4*x - 15*x**4 to the form v*x**4 + u*x**2 + g*x**3 + l + j*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(119)\/(sqrt(7) - sqrt(28)) + -4*-5*3*sqrt(17))**2 + 3.\nAnswer: 55236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7693, 15379, 23075, 30787, 38521, 46283?\nAnswer: 54079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 16. Let q be r(7). Suppose -5*d + 5*b = -670, q*b - 518 = -10*d + 6*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-2)*-2 - 1130\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10d93 (base 14) to base 2\nAnswer: 1010000010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137267 less than 3?\nAnswer: 2.862733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/8 + 8)*(-4)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46520?\nAnswer: 2, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by 71.\nAnswer: -672\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a**(-1\/19)\/a)*a*a)*a**(4\/9))\/(a**(2\/9)*a*a*a**12) assuming a is positive.\nAnswer: a**(-2707\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -18. Let m = l - 15. Let s(z) = -z**3 + 8*z**2 - 7*z + 5. Is s(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5018 (c) 2\/3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363320 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: Let y(m) = m - 40. Let b(k) = -k. What is 2*b(q) + y(q)?\nAnswer: -q - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/(-18))\/4)\/(((-289)\/102)\/17)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*h - g**3*n - 46*g*n + 5409*h*n + 4*n - 1 wrt h.\nAnswer: g**3 + 5409*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 33*u - 13*y = 22, y - 5 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 116 + 28. Suppose -d + 4*d - m = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -1, -8\/9, -2, 40?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11851981 is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 7*m**6\/27 + 34*m**5\/15 + 119*m**4\/18 + 62*m**3\/9 + 2*m**2 + 9. Solve c(a) = 0.\nAnswer: -3, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 4, g: 2, c: 3}. What is prob of picking 1 a, 1 g, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -1313 (c) 71 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q + 168 = 0. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25495 (base 10) to base 12\nAnswer: -12907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165169, -165106, -164945, -164692, -164353, -163934?\nAnswer: -163441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 802714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 6 (c) -32903\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 5*b = -2. Let l be b + (-198)\/(-15) + 3\/(-15). What is the second derivative of 75*v**2 - l*v + 6*v**4 - 75*v**2 wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = h, 0*m + 2*m = 5*h + 39. Let d(i) = i + 7. What is d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 19, 14, 5, 327 in increasing order.\nAnswer: -9, -2, 5, 14, 19, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 - 4*v**5 + 4*v**5 + (-v**4 - 6*v**4 - v**4)*(-2*v + 7*v - 16 - 3*v).\nAnswer: -17*v**5 + 128*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 364*w**3 - 901256*w**2 + 557862608*w + 12261152.\nAnswer: 4*(w - 1238)**2*(91*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**3 - 5*s**2 + 24*s + 7. Let i(q) = 4*q**3 - 3*q**2 + 12*q + 4. What is 5*i(d) - 3*o(d)?\nAnswer: -4*d**3 - 12*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 3*t**2 - 3*t**2 + (t - t + 2*t)*(4*t - 4*t - t) + t**2 + 0*t**2 + 5*t**2 - 3 + 2*t**2 + 3 + 114278*t + 2370*t**2 - 114278*t.\nAnswer: 2377*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -476*a - 383. What is the units digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -77.\nAnswer: -50\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 0*p**2 + 1 + 2\/3*p**3 + 0*p. Let c(u) = -3*u**2. Give c(b(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**2 + 10*q + 6. Let s(p) = -3*p**2 - 3*p - 2. What is -14*s(a) - 4*y(a)?\nAnswer: 2*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 13347566, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 770.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/8)\/f*(f*f**(-2))\/f*f*(f\/((f\/f**(-1))\/f))**4*(f**(1\/3)\/f*f\/(f*f**(-5\/7)\/f*f*f))**(-36) assuming f is positive.\nAnswer: f**(1801\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11778*b**2 + 10244*b**2 - 7682*b**2. Let j(g) = -g**2. Give j(n(t)).\nAnswer: -205635600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 6*j + 14 = 0. Let w(p) = -5*p - 3. Let h be w(j). Suppose h*b = -1281247 - 210753. Round b to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - t + 0 + 2)*(-24*t + 13*t + 3*t).\nAnswer: 8*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - (32 - 41 - 35)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.012, 0.2, 4, -5 in increasing order.\nAnswer: -5, 0.2, 2.012, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from inssiiinniinini.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2067760654 + -5?\nAnswer: 2067760647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -31. Let h = s + -9. Let q be 0\/(-1) - -1 - -1. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.9377 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 20. Let m be u(16). What are the prime factors of (m\/6)\/((-6)\/(-1494))?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 134 = 4*o. Let d = -20 + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 1 - (371 + -392).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-2136)\/2))\/((-177)\/(-1416))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and 167\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 245*l - 200. What is t(50)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362*c**3 + 88*c**5 - 726*c**3 + 364*c**3 - 72*c**2 wrt c?\nAnswer: 5280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348220585 and 29930.\nAnswer: 14965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6300.358 and 607.037.\nAnswer: -5693.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 31*q**3 - q**4 - 3 - 2 - 2 + 9*q - 9*q + 3*q**2 to the form c*q**3 + v*q + d*q**2 + h*q**4 + t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*d**3 - 45*d**2 + 3*d**4 - 3*d**4 + 337*d**6 - 335*d**6 wrt d?\nAnswer: 240*d**3 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 5 (b) 1\/2 (c) 108863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51*-0.064.\nAnswer: 0.03264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20982*w**5 - w**4 - 27*w**3 - 82144*w**2 + 18*w + 36 wrt w.\nAnswer: -1258920*w**2 - 24*w - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/9 less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 55 = -3*a, 0 = 3*j - 7150*a + 7155*a - 49 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 3*s, 0 = -5*w - 0*s - 3*s + 10. Let m(h) = 16*h - 41*h - h**w - 2 + 21*h. Determine m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -51, -417.\nAnswer: -417, -51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 48. Let f be ((-8)\/6)\/(9\/a). Suppose -46 = -p + 3*w, f*w = -3*p + 84 + 106. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541 and 16904627?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 17*b**2 - 51*b + 26. Let j(k) = -6*k - 57. Let m be j(-13). List the prime factors of w(m).\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-13) - (-124)\/4433*-209\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -108. Suppose 0 = 3*u - s - 34. Calculate the remainder when u is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.291372 hours to seconds.\nAnswer: 33448.9392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 15. Let m be d(21). Suppose 5*q - 2*k - 15 = 0, -2*q - k + m = -2*k. Suppose 0 = q*a - x - 1920, 4*a = x + 2*x + 2555. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -144476\nAnswer: -1\/144476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/28? (a) 5 (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*w - 9 = 7, 0 = -2*w + 4. Suppose -g = 4*t - 0*g, -3*t + 11 = -a*g. What is the remainder when (468\/(-27))\/((2\/(-3))\/t) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5093534 * -8.\nAnswer: -40748272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:06 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 10*p - 6*p - 8 = 0, -p + 6 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (-5 - -2) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - j + 3. Let m = 1 - -20. Let l(y) = -5*y**3 + 25*y**2 - 5*y - 29. Let q(z) = m*r(z) + 3*l(z). Factor q(w).\nAnswer: -3*(w - 2)**2*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 18. Is l less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 123341*h - 2*h**2 - 123340*h.\nAnswer: 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 + 4*r + 3. Let j be b(4). Suppose -3*x - j = -0. What is the nearest to 0 in 2\/13, x, -3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202101 - -200?\nAnswer: 100210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 4. Let i = -1 - -4. Suppose 1 - i = -t. What is the remainder when a(-3) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 209*v - 10224. Give o(131).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.4, -5, -0.2, 213, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22572356372546 minus 4?\nAnswer: -22572356372550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -47988782 >= -47988783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -98*d**2 + 5583*d + 124. Determine y(57).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 2.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/35 + 1 + 48\/14. Factor 4\/3*z**2 + 0*z**j - 2\/3 + 0*z - 2\/3*z**4.\nAnswer: -2*(z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - g + 4 + (1 - g - 1)*(-2 + 6 - 2) - g + 0*g + 3*g - g + 5*g - g)*(95*g**2 + 9 - 9) to s*g**2 + i*g + w*g**3 + y and give w.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 4*u**3 - 3*u**3)*(-6 + 8 + 10*u**2 + 16*u - 17*u).\nAnswer: -10*u**5 + u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 26 (b) -3 (c) -2849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 895\/4 at least as big as 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312890, -312893, -312908, -312941, -312998, -313085?\nAnswer: -313208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/y**(1\/4))**(-35) assuming y is positive.\nAnswer: y**(875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1058 or -1508?\nAnswer: -1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2*p**3\/7 + p**2 + 4*p\/7 - 20. Suppose z(t) = 0. What is t?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17549905 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*h - 2*u, -5*h - 92*u = -86*u + 137 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2586934399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.69 - -0.01. Let p = -14652 - -14652.1. Which is the closest to 3\/4? (a) p (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 396\/(-14) - (-4)\/14. Let a = 39 - x. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, y: 1, u: 2}. Give prob of sequence oyo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/k**19*k))\/k)\/(k\/(k*(k**(-4)*k)\/k))*k**5*k*(k*k\/k**(-21)*k)\/k assuming k is positive.\nAnswer: k**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776223382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/3))\/j)\/(j*(j*j**14*j)\/j)*(j\/j**(3\/10)*j)**(-37))**(-3\/19) assuming j is positive.\nAnswer: j**(2357\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2963779.\nAnswer: -1481889.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 4051 = 32305. Suppose j + 527 = v. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Let z = k + 5. Suppose d = -z*d. Solve 5*s = -d*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/9550957 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 7*z - 20, 1851*c + 2*z = 1848*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362843112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by (-4)\/1 + (-13)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -1)*(7 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221 divided by -101?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 less than -22.7024?\nAnswer: -23.5724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 558*x**5 + 2788*x**3 + 421379*x + 2 wrt x?\nAnswer: 11160*x**3 + 16728*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 5) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.6129 (b) -5 (c) 2 (d) 0.5 (e) 1 (f) -4 (g) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 + 5*f - 3. Let x(k) = k**2 + 3*k. Let q be x(-4). Let y = q - 2. Suppose y*h - 25 = 7*h. Give b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w**2 + w - 5. Let g = 5 - 1. Let n be t(g). Suppose -3*c = 1 - n. Find the common denominator of c and 46\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13349*z - 13358*z - 135 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 9*m**2 - 38*m - 19. Let p be w(-12). Sort -4, -1, 0, -501, p.\nAnswer: -501, -4, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -0.7. Let i = -12 - -10.6. Let z = i + k. Which is the nearest to -3? (a) z (b) 1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 990 divide 25533090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 133?\nAnswer: 22876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 10. What is the units digit of b(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1058\/(-23) - -43.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/41 + 37\/82. Let v(a) be the first derivative of 1\/12*a**3 + 3\/8*a**2 + m*a - 1. Factor v(g).\nAnswer: (g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.075521\nAnswer: -0.226563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 1, z: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066285 rounded to six dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 - 1061 = -13*h. Let j(q) = h*q**2 - 44*q**2 - 23*q**2. Let x(g) = -g - 2. Let t(o) = 3*o + 5. Let y(m) = 2*t(m) + 5*x(m). Calculate j(y(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 13969*c - 223760.\nAnswer: (c - 13985)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2785 + -55779\/20. Let w be 1 - (-6 + (-1 - -493)). Calculate the common denominator of u and ((-44)\/(-110))\/((-16)\/w).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003032 - 1?\nAnswer: 3003031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -147929, -591699, -1331315, -2366777?\n\"Answer: -147923*z**2 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/3 - 2*p. Let y(l) = l**2 + 3*l. Let z(h) = 19 + 2*h - 19. Let f(u) = 2*y(u) - 3*z(u). What is f(c(o))?\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 + 6*z + 10. Let j be t(-4). Suppose 0 = j*o + 3*w - 153, 5*w + 21 = 3*o - 218. What is the highest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 236446.\nAnswer: -1\/118223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 3*p**2 - p**2 + 25*p**3.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502083041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(2 + 48\/(-18)). What is the derivative of 25 + 5 - 18*h**2 + 39 - f wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*l + c, 2*l - 66 = -0*l + c. Calculate the lowest common multiple of l and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11198 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -11. Let f = 73 - c. Let o = 150 - f. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 82, 96, 90, 58?\n\"Answer: -j**3 - j**2 + 38*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 4*i + 9. Let m be c(5). Let k be m + (-2 - -6*(-6)\/(-9)). Solve 0 = -2*q + 4*q + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 + 0 - (0 + ((-16 - -39) + 0 - 13))?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (-31 + 39 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-21)\/196 + 4\/((-120)\/87)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1953 or -1952?\nAnswer: -1952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j - 20. Let s = j - -6. Put -5, s, 5 in ascending order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.2 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389561874.\nAnswer: 2, 3, 13, 239, 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 200 = -2*a. Let t be 2\/(-4) + (-374)\/a*-2. Let d = t - -641\/30. What is the common denominator of d and 97\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - a + 84 = -21*f, 0 = -3*a - 4*f - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661937391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/12)*((o\/o**(-6)*o)\/o)\/o)**(-33)\/((o\/(((o\/(o**(2\/5)*o))\/o)\/o))**(-5)*o**(5\/4)*o\/(o\/o**0)) assuming o is positive.\nAnswer: o**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2*a + 2*a**3 - 6*a - 2*a.\nAnswer: 2*a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 754974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45151.\nAnswer: 163, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 6, v: 3, o: 1, t: 3}. What is prob of sequence tev?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 861 divided by 6\nAnswer: 287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*u + 27961 = -61495, -3*w + 89454 = 3*u. Let a be (-4)\/10 + w\/50. Suppose 3*m = -m + a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 4663*c**3 + c**2 - 4699*c**3.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613 (base 8) to base 9.\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-4 + 6)) + 14 + (-3 - 27 - -29)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*p - 5. Let m(s) = s - 7. Let l be m(9). Factor -35*w**5 - 1 - 3*w + l*w**3 + 74*w**5 + 3*w**p - 38*w**5 - 2*w**2.\nAnswer: (w - 1)*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 25*q - 300 = 5*i, 91 = -2*i - 4*q - 98 + 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15928 + 15960. Solve -r*v = 25*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149520 - 8*f**3 - 149520.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.10603 millilitres to litres.\nAnswer: 0.05910603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5745 or -2105?\nAnswer: 5745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124752 less than 0.01111529?\nAnswer: -3124751.98888471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -694 - -690.99. Let t = 0.01 + l. Let p = 3 + t. What is the closest to 1 in -2\/11, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626923320.\nAnswer: 2, 3, 5, 739, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.84 - -0.9. Let l = k - -5.94. Let b = l + -6.00092. Round b to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 1123?\nAnswer: 258.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -38*v. Suppose -5*w + 3*w + 180 = 2*f, -3*f = w - 274. Let l(r) = 41*r**2 - f*r**2 + 2*r + 50*r**2 - 2*r. Give g(l(x)).\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13530134 - -104?\nAnswer: -13530030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 + 27.36. Let n = j + -19. Let r = -6 + n. What is the third smallest value in 1\/3, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10152b2 (base 13) to base 4.\nAnswer: -102210030112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(36)\/sqrt(3) + -2 - ((sqrt(243)*2 - sqrt(243))**2 + -4)).\nAnswer: -241 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -490\/393 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*j - 11, 1194*h - 7 = -4*j + 1197*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34775, 34814, 34927, 35150, 35519?\nAnswer: 36070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39113569\/1113455280 + 6\/662771. Find the common denominator of 53\/2520 and j.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:14 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (63\/1337)\/((-3)\/(-4)). Let n = w - -85317\/955. Let o = 89 - n. Which is the fourth biggest value? (a) 2 (b) 6 (c) 3\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1.3, -16?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -820*p + 4131. Let r be z(5). Solve -4*f + 6*f - 33 = 5*n, r = -3*f - 4*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02915563 rounded to five decimal places?\nAnswer: 0.02916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -322, -1047, -2490, -4891, -8490?\nAnswer: -13527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001207 rounded to 6 dps?\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2961866435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-589)\/(-2356))\/((-1)\/(-24)))*6\/(-345)\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 64, 4\/11, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frer when four letters picked without replacement from iirerfreer.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.59373.\nAnswer: 0.118746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 719570640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93011 > 627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4051 - 6?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**3 - 3*s**2 - 3*s. Let g(w) = -40*w**3 + 16*w**2 + 16*w. Suppose 0 = -238*x + 265*x + 432. What is x*p(c) - 3*g(c)?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 2*x + 2. Let l(z) = 2*z**3 + z**2 - 5*z - 5. Calculate -2*l(g) - 5*t(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 404572 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 336 + -30272?\nAnswer: -27734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -29, -73, -155, -287, -481?\n\"Answer: -2*h**3 - h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1139960374*k**3 + 493756005*k**2.\nAnswer: 6839762244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*d**2*f*p - 3107231*d**2*l*p**2 + 94*d*f*p**2 + 238*d*f + 151*d*l - 3*l*p**2 wrt d?\nAnswer: 326*f*p - 6214462*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3011.\nAnswer: 3\/3011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2346551 != -7039652\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1406892.1 rounded to the nearest one thousand?\nAnswer: -1407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, 0, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753957 is divided by 57990.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + h - 31 = -12*c, -5*c - 4*h = -82. What is the remainder when c is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmnb when four letters picked without replacement from nmrrnrbwr?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 5\/4*a**4 + 0*a**2 + 0*a**3 + a - 2. Let y(x) = x**2 - 2*x**2 + 3*x**2. What is h(y(j))?\nAnswer: 60*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l - 20*l - 3*l + 31 - l**2. Let q be c(-29). Let a be ((-244)\/(-2))\/(q*(-5)\/20). What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 2 - 4*m + 2*m. What is j(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44)\/(-6))\/(((-4)\/(-3))\/(-2)). Let y(w) = -w**2 - 20*w - 37. Let c be y(g). Let h = c + -59. Solve -3*m - 4 = h*u - 1, -4*m = -5*u - 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62157286 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 3970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -288 (base 9) to base 13.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/(-8)*((-15)\/30)\/(2\/3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -47, -68, -89?\n\"Answer: -21*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*375\/(-100)*(2 - (-63)\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 = -p, 2*v = -4*p + 8 + 8. Find the third derivative of p*a**3 + 4*a**2 - 7*a**3 + 2*a**3 - 7*a**2 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 3. Let r be w(-5). Let h = 60 - 55. Which is the third smallest value? (a) h (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001000100111010001 + 1011?\nAnswer: -100001000100111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 4 + sqrt(192)*-3*4)**2*5 + 4.\nAnswer: -414956 + 11520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from zdzdzzdzzd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 7338?\nAnswer: 7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1417 divide 7339362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8562 + -13240. Let x = -51398\/11 - j. Is x greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.76 + 0.2. Let u = 39.21 + 8.79. Let g = n - u. What is the closest to g in 2\/5, -1, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42345417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -253*p + 239*p - 2 - 64. Let x be u(-5). Solve -x*d = -5*d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l + 11 - 71. Let b = -1.3 - -0.3. What is the nearest to -1 in l, -3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254150?\nAnswer: 2, 5, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*r**2*y - 2*b*r**2 - b*y - 10*b + 2*r**2*y - r*y - 10*y + 1 wrt r.\nAnswer: -4*b*r*y - 4*b*r + 4*r*y - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 325 + 97. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 6*u - 7. Let i(w) = -w**2 + 34*w + 4. Calculate the least common multiple of 76 and i(u).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93190*52\/(-390)*45\/24*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + 5*w**2 - 2*w**2)*(-3*w + 2*w + 4*w) + 42*w**3 - 43*w**3 - 218*w**3 in the form o + q*w + b*w**3 + r*w**2 and give b.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 2*i - 33, 2*w = 2*i + 4125 - 4127 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*k + 4, 0 = j - 187*k + 186*k. Solve -2*b = 5*n - 6, 2*b - j = 108*n - 112*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*x + 12 = 0, -4*f = -3*f + 3*x - 4. Suppose -f = -k + 2. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -73. Let i be ((-8)\/(-16) - 1\/2) + u. Solve n = -i*m + 12, 2*n - m + 14 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -321065 - -1?\nAnswer: -321064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 150834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24cb8 (base 16) in base 7?\nAnswer: 1165252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19848 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - (3*sqrt(136) + sqrt(136))) + sqrt(136))*-3 + sqrt(136) + sqrt(136))\/(sqrt(8) + (sqrt(8) + sqrt(88)\/sqrt(11))*-2).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19389 and 354.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -44728 < -44728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**4 + 3*k**4 - 6*k**4)*(5 - 2 - 1 + (-10 + 7 + 10)*(5 - 2 - 4)).\nAnswer: 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcxcccccvccvcxxccv. What is prob of sequence xxx?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29245 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -3, 4, 0.2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j - 0*j. Let w = j + 0. Suppose 0*b - 3*r = 3*b - 60, 0 = 2*b + w*r - 44. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79490?\nAnswer: 2, 5, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -24. Suppose -5*j - 4 = -7*j. Suppose 4*z + 30 = 2*u, j*u = 3*u + 4*z - 27. What is the remainder when a is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34614 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1391 and -0.049.\nAnswer: 68.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -19*u + 24. Suppose -10 = -3*n + 11. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44554929 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 0.0127?\nAnswer: 2.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s**2 - 2*s - 1. Let c be z(-1). Suppose 5*w + c = -3. What is the smallest common multiple of 8 and w*(-1 + 6\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 + -116. What is the highest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 3)*(2 - 2 - 1) + (-3 + 4 - 2)*(-2 - 2 + 5) + 0 + 1 + 0 + (-2 + 0 + 1)*(9 - 2 - 2))*(-377*g**4 - 479*g**4 + 173*g**4).\nAnswer: 2049*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -146\/5 (b) -14 (c) -15 (d) -8\/7 (e) 0 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/840*m**7 + 1\/80*m**5 + 1\/160*m**6 + 1\/96*m**4 + 0*m - 2*m**2 + 0*m**3 + 0. Determine d so that q(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (46\/(-207))\/((-2)\/18). Suppose -u*y + a - 14 - 13 = 0, -3*y + 5*a = 30. Which is bigger: y or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:30 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - (-18 - 520\/(-72)). Solve y*s = -11 - 55 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 89*d**2 - 59*d + 2239. Is 35 a factor of z(-89)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-6*u + 4*u + 3*u) + (-5 + 0 + 1)*(11 - 9 - 11)*(-4*u + 2*u + 5*u) in the form l*u + a and give l.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45\/164 - 3001\/7052. What is the common denominator of h and 40\/8 - ((-40)\/(-35) + 1)?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u + 33*u + 33*u + 31*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 70\/41, 283, 6?\nAnswer: 70\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46\/3 - -494\/33. Which is the second smallest value? (a) -0.4 (b) 0 (c) -5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:48 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 3*r**2 - 54*r + 5. Let s be w(-9). Solve -k + s = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633 times 47.3\nAnswer: -29940.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/16*(-64)\/(-40). Let z(m) = -m**2 + 1. Let v(t) = -15*t**3 - 12*t**2 + 12. Determine n*z(u) + v(u).\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-377685)\/3045 - -124)*609?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 21)\/(15\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 169*j**2 - 6*j + 28. List the prime factors of i(4).\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -25. Suppose m = s*m - 336. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 + 9*p - 4. What is the remainder when ((-1)\/1 - 16)*(-3 + 2) is divided by f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -3, -1522, 1\/5, -1 in increasing order.\nAnswer: -1522, -3, -1, -4\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 15*y**2 - 10*y + 16. Let d be m(8). Suppose q + 5 = 0, -4*v = -d*v - 3*q - 4103. Is v a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(16) + -1*sqrt(1600)))\/sqrt(8).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/509859 and -25\/315627.\nAnswer: 6628167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - 23*j**2 - 31*j - 1. Let u be x(-6). Solve 0 = f - 3*r + 10, f = r + u - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vpppippipvvpvpvpppp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6162 and 4602.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 1.8. Let t = z - 4. Are t and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, d: 6, k: 3, g: 2, o: 2}. Give prob of picking 3 q and 1 d.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211, -1720, -5811, -13774, -26899, -46476?\n\"Answer: -215*h**3 - h**2 - h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 763 = 2*s, s + 0*b - 389 = -b. What is the least common multiple of 16 and s?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1078)\/308)\/(1\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:47 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 190*l**2 - 5*l**3 - 193*l**2 + l + l to the form o*l**2 + z*l + r*l**3 + u and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1620))**2 - sqrt(1620)) + sqrt(1620) - sqrt(1620) - -6*(sqrt(20) + (sqrt(60)\/sqrt(3))**2 + sqrt(20)).\nAnswer: 42*sqrt(5) + 1741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 + 7947*g**3 + 10849*g**3 - 14*g**2.\nAnswer: 18796*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 4*o + 5. Let l be g(-2). Suppose -l*u + w + 21 = -7, -20 = -u + 5*w. Solve 2*z = -3*z - u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65.3374 + -0.0374. Let x = v + -65. Let d = 53 + -55. What is the closest to -0.1 in d, x, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -666, -204 in increasing order.\nAnswer: -666, -204, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3*5\/30)\/((-2)\/636). Suppose 26 = m + y. Let x = -79 - m. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 0.4 (c) -553 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*v + 42 = 0. Let y be 2\/v - (-12)\/7. Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 4 + 0*o + 2*o**3 + 0*o**2 + 1\/2*o**4. Let b(p) = -2*p**2 + 4*p**2 - p**2. Give -6*b(q) + n(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 - 94*c**2 + 6. Let g(r) = -7*r**3 - 187*r**2 + 10. Determine -3*g(x) + 5*i(x).\nAnswer: 6*x**3 + 91*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907474953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -101, 0, -4, 1.44, 1024?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/6)\/(-94))\/(((-15)\/(-12))\/5).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let c be (4\/(-28) + (-8)\/42)*3. Let r(q) = -2*q**3 + q**2 - q. Let n = 14 - 13. What is c*m(k) + n*r(k)?\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - -3*(sqrt(1008) - sqrt(1008)*2))\/(sqrt(196) - -2*(-1*sqrt(196) - sqrt(196))).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41de0e7 - 6?\nAnswer: -41de0ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10) - 5)*(-15)\/105?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 396*p + 401*p + 2029 = 0, 4*p + 20 = 0. Calculate the remainder when m is divided by 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -80.6. Which is the third biggest value? (a) q (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1905409 - -822380. Let b be (3 + -2)*(1773028 - -1). Let p = b + v. Round p to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*c = 251*c - 186. Calculate the remainder when 8 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108591 - 70090. Is n 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 2298871 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.269 * 15.3\nAnswer: 4.1157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6984232 is divided by 98369?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + u = 4, 0 = o + 17*u - 20*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 187, 169, 143, 109, 67, 17?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -36. Suppose -v*g + 3*g = -448. Does 12 divide 9\/6*g\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:54 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**3 + 3*i**3 + i**3)*(-14 - 675*i + 337*i + 291*i) to the form g*i + u*i**4 + y + q*i**2 + t*i**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -592, 82 in ascending order.\nAnswer: -592, -2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l + 19 = -30*l - 5*a, 25 = 5*l - 2*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - x**2 + x + (-3*x + 2*x + 2*x)*(2*x + 1 - 1) - 2*x**2 + 0*x**2 - 9*x**2 + (-2*x - 4*x + 3*x)*(-3*x + 4 - 4).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 627756 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 16*q - 18. Let z be y(1). Calculate the common denominator of (z\/32*45)\/((-9)\/(-18)) and 11\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 38.034. What is the closest to -1 in x, -1\/9, 2\/13?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-8)\/(-16) + 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - d = -12*k - 816, 4*k - 812 = -2*d. Which is smaller: k or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 5. Suppose -s = t + 2*t + o, 2*s + t = 7. Suppose 3*u + 5 = 17. Calculate the highest common divisor of s and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10516030 - 2?\nAnswer: 10516025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2044 and -109\/28.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10010538 - -0.1001. Round p to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 14}. What is prob of picking 1 m and 3 d?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3)*(158 + 1). Suppose 0*f + f - 89 = 0. Let k = y + f. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -5*d**4\/3 + 11*d**3\/6 - d**2 + 168*d. Let y(g) = -13*g + 4. Determine 4*h(p) - 11*y(p).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10)\/k)\/k**4)**(-39)*((k*k\/(k*k**(-3))*k*k)**(-4\/25))**(2\/27) assuming k is positive.\nAnswer: k**(131609\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007807 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8684 not equal to -8684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -7 - 53. Put 5, 1, u in increasing order.\nAnswer: 1, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, k: 1}. Give prob of sequence tt.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.81985107\nAnswer: -1.31985107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17371b3 (base 12) to base 5\nAnswer: 2212134031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -571689.00275277 + 571689. Round a to 5 decimal places.\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o\/o**(-2\/15)))\/o)*o**(-6))**(-32) assuming o is positive.\nAnswer: o**(1376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3\/2*l**2 + 0 - 3\/2*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (11 - 5) + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57635160 at least 57635159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10334 (base 5) in base 8?\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -956 + 960. Calculate the least common multiple of w and 1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 344649107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 3*s - 2 = 24*t, -5*s - 30 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 137*5\/35 - 16\/28. Calculate the greatest common divisor of l and 1463.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/90)\/(6705\/596).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Let i = d - 3. Let r = 0 + i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 8 = 2*h - 4*i, 4*h + 3*i = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79769637, -79769630, -79769623, -79769616?\nAnswer: -79769609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 537 - 477. Calculate the smallest common multiple of q and 78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/(10\/(-6)). Suppose 3 = 3*y - 0. Let q be (y - 4)\/(36\/8). What is the nearest to q in 5, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + g - 4. Let v(y) = -3*y**2 - y + 3. Let h(o) = -6*i(o) - 5*v(o). Let m(z) = 14*z**2 + z - 14. Determine -8*h(a) - 5*m(a).\nAnswer: 2*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 + 5*q + 14. Let i(x) = 3*x**2 + 4*x + 52. Let r(o) = -o**2 - 2*o - 35. Let a(l) = 5*i(l) + 7*r(l). Calculate 5*a(w) - 6*u(w).\nAnswer: -2*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1 - (-16)\/(-22)). Let l be (-2)\/11 + 35\/q + -400. What are the prime factors of 2\/(-8) + l\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from lssflffllqlfljll.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 11747279.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14115 + 61021?\nAnswer: 45805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n + 3*x, 5*n - 2*x - 3*x - 45 = 0. Which is the second smallest value? (a) -2 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3039.508 seconds?\nAnswer: 3039508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 11 + 11)*(-4*k**4 + 3*k**4 + 2*k**4 + (5*k + 2*k - 6*k)*(5*k**3 - 4*k**3 + 0*k**3)).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738480664 minus 0.059?\nAnswer: 3738480663.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {q: 4, i: 1, c: 2, v: 1, f: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.2 (b) -3\/17 (c) -3 (d) 0.46 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13.77944m?\nAnswer: 13779.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -12) + 3\/2. Let s = 123\/10 - i. Which is the biggest value? (a) s (b) -0.4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 * -0.2\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b506 (base 14) in base 7?\nAnswer: 10526606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108, -164, -220?\n\"Answer: -56*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose -29 = -7*x + 6. Suppose 3*y + 3 = 3*m, -21 = -6*m + m - 3*y. Solve 0 = -a*h, -x*h + 2*h - m = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -62*n**3 + 4*n**2 + 3*n. Let o be i(-1). Differentiate -2*z**2 - z**2 + 110*z + o - 99*z with respect to z.\nAnswer: -6*z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**20\/t**(1\/10))**49 assuming t is positive.\nAnswer: t**(9751\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262976.\nAnswer: 2, 19, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrzrvrrzvrvvv. What is prob of sequence rzr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*z + 7*z + 5*t, -z - 2*t = -6. Suppose 0 = -y - 3*o + 219, z*y - o + 4*o = 912. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946087.\nAnswer: 11, 13, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*i - 13184 + 2304 = -30*i for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/(-2)*-2 - (-11445)\/545.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10*d*d)\/(d**(5\/4)\/d) assuming d is positive.\nAnswer: d**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {j: 6, u: 5, p: 7, y: 1}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.367 to 2 decimal places.\nAnswer: -1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.4. Suppose x - 4*o + 14 = -x, 0 = 5*x - o - 1. Which is the closest to x? (a) 0.8 (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49622, 110718, 171812, 232904, 293994, 355082?\nAnswer: 416168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136824 and 1128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 326516232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*j + 170, -3*j + 4*w = -174 + 34. Suppose 5*h - 99 = 4*d, -2*h + d + j = -d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.274205km?\nAnswer: 6274205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -1230, -2202, -3404, -4830, -6474?\nAnswer: -8330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:18 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 7. Let u(a) = 2*a**3 - 8. Give 3*f(x) + 2*u(x).\nAnswer: -2*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12577120520 to the nearest 1000000.\nAnswer: 12577000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 59 = -5*b, -5*s - b = -125 + 25. What is the remainder when 56 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and 430954.\nAnswer: 30166780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -38807, 3, -3, -5 in increasing order.\nAnswer: -38807, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -81. Let s = 3 + -1. Let r = 2 - s. What is the third smallest value in r, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046294489 to 5 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlt when three letters picked without replacement from qtaqtlv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 - t + 2. Let c be j(0). Suppose c*l + 9 = 21. Solve -3*i = -l - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 41. Solve -5 = -5*j, -d + 3*j - l = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 5*i + 5*i + (2*i - 8*i - 4*i)*(1 - 2 + 0) to j + x*i and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1647\/10 - -165. Let z = -185 - -99. Let p = z + 86. What is the closest to p in 0, 0.2, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1502\/7 - -12333\/14. Which is smaller: 1095 or a?\nAnswer: 1095","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*(-2)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, t: 1, n: 2, g: 2, l: 1}. Give prob of sequence lllx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 15*v**2 + v - v**3 - 4 - 9*v**2. Let u be f(5). Solve 63*t**3 - 3*t**4 - 3*t**5 - 3*t**4 - u*t**3 + 6*t**2 - 9*t + 0*t = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + 6fb8?\nAnswer: 6fc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/70 + y**6\/40 - 3*y**5\/10 - y**4\/2 + 4*y**3 - 9*y**2 + 2. Factor z(p).\nAnswer: 3*(p - 2)*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29667038 by -2.\nAnswer: 14833519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -173\/6. What is the closest to 0.1 in c, 1\/4, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 399, 837, 1273, 1707, 2139?\n\"Answer: -v**2 + 441*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 470 - 933 - 8*b**2 + 463. Let d(r) = -14*r**2. Calculate c(d(i)).\nAnswer: -1568*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208426865 + -208426863.75000083. Let v = 1.25 - f. What is v rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522645, -522647, -522649?\nAnswer: -522651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*y + 37, 0 = 2*y - 4*s + 1 + 1. Suppose -b - y = -3. Let d(z) = -4*z**2 - 4*z + 15. Let g(r) = 2*r**2 + 2*r - 7. Calculate b*d(i) - 13*g(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 3. Let w be p(5). Suppose w*u + 1 = 3*u. Is u at most 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 14*v + 9. Give o(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 1344?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -17803089.\nAnswer: -17803084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 148*d + 17. Determine f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*c**2 - 61*c**2 - 12*c**2)*(-21*c - 45*c - 3*c) in the form s*c + u*c**2 + p*c**3 + r and give p.\nAnswer: 9039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*c. Let t be -1 - 0 - (1 + c). List the prime factors of (0 - -18) + t\/1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229\/2 - -117. What is the common denominator of j and 747\/30 + (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - sqrt(70)*-2)*3)\/(1*sqrt(250) + sqrt(250)) + -1*((sqrt(7) - sqrt(847)*2) + sqrt(49)\/(-1*sqrt(7)) + sqrt(7)))**2.\nAnswer: 335727\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 7 - (2363 - 2403)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 41*t**3 - 2*t**2 - t + 2. Let z be r(1). Suppose 2*y = -8*y + z. Calculate the remainder when y + (-5 - 4) - -23 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**2. Let a(p) = -24099*p**2 + 8067*p**2 + 8048*p**2 + 8050*p**2. Determine a(h(v)).\nAnswer: 4224*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:17 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**2 + 22*c**2 + 817 - 52*c**2 + 9*c**2 - 817.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 54 = 18. What is the tens digit of ((-128)\/n)\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6885 + 11606. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.008 + -0.00799936. What is o rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 21 = 6*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313813003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-11 + 12) - -6. Solve -4*x = 2*b + 8, 3*x + r*b + 4 = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13691769 times -1.7\nAnswer: -23276007.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208070000 - -208098274.9954. Let y = 28203 - a. Let f = -72 - y. Round f to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86173 or -85981?\nAnswer: -85981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -12 - (30 + -12 + -13 + 15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.114 + -73.886. Let u = z + 73.999946. What is u rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283257 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/140 and -99\/350.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 123?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 20, -3*q = 3*o - 2*q + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/7))\/p*p)\/p**(8\/5)*p**(-7)*p*p*p*p*p\/((p\/p**(4\/9)*p)\/p))**(-47) assuming p is positive.\nAnswer: p**(42488\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 32 = -4*o + 5, -20 = -2*o - 2*w. Let f(j) = -j + 14. Let h be f(o). Let i be 2\/h + 48\/30. Which is the smallest value? (a) 2\/7 (b) i (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18 and -95\/34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/6)*i*i\/i**(6\/11) assuming i is positive.\nAnswer: i**(151\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c + 5. Let p(n) = -n - 1. Let l(h) = -2*p(h) - q(h). What is the derivative of l(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 10935?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, a: 3}. What is prob of sequence aa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*o = -296, 4*y - o = 646 - 49. Let a = -8 + 33. Calculate the remainder when y is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 24, 4, 1, -758.\nAnswer: -758, 0, 1, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25431033 + -45441033. Round p to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/621)\/(12\/(-54))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*k = 12, -7*i = -6*i - 4*k + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972947550 divided by 5.\nAnswer: -194589510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3\/3 - w**2 + w - 24. Factor m(p).\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 54\/31, -20 in ascending order.\nAnswer: -20, -2, 54\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(6 + 52\/(-8)). Let u = 4 + 0. Sort 1, a, -3, u in ascending order.\nAnswer: -3, a, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v - 212. Calculate the remainder when u(31) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010010011101110000 (base 2) to base 6\nAnswer: -20505224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -276*d + 6306. Give v(23).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.513 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(-2*2\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 2*p + 2*p)*(0*p**4 - p**4 - p**4 + 2*p**4 + 2*p**3 - 2*p**3 - 5*p**4 + 2*p**4 + p**4 + (-4*p + 4*p + 2*p**3)*(1 - 1 - p)).\nAnswer: 28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311309 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 8*i - 3. Let t be g(-7). Suppose 3*k = 15, 2 = t*u + 4*k - 26. What is the remainder when u is divided by (4\/8)\/(2\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6610863 or -6610860?\nAnswer: -6610860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m - 18 = 0. Suppose 5*p + w - m = 19, -3*p - 3*w + 3 = 0. Calculate the lowest common multiple of p and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703227759 to the power of 1\/3, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959729350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 2689*x + 159786. Determine n(54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34092 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 57290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -34*z - 407. Give n(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -14. Let n = b - -104. Suppose -2*g = -18 - 18. Calculate the highest common divisor of g and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359954, -359950, -359940, -359924?\nAnswer: -359902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.55 + -7.45. Which is the closest to -1? (a) -0.47 (b) s (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -185, -711, -1727, -3395, -5877?\nAnswer: -9335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 divided by 2?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 245\/(-42) - ((-152)\/(-48) - 3). Let q(u) = -2*u**2 - u + 10. Give q(a).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 942, 0, -0.4, 2\/5, 0.9?\nAnswer: 942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 517, 1016, 1517, 2020?\n\"Answer: v**2 + 496*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 1 (c) -93\/1250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*z - 14, -6*z = -4*o - z + 56. Suppose -3*i - 6*u + u - o = 0, -u - 2 = i. Let h(t) = 4*t - 2*t + 8*t**2 - 1 + t**i. Calculate h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**2\/21 + 5770*v\/21 + 412\/3 = 0.\nAnswer: -1442, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.337 + 0.037. Let c = 0.7 - q. Let j = c - 3.3. What is the second smallest value in j, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.24, -104, 1\/5 in decreasing order.\nAnswer: 1, 1\/5, -0.24, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*y - 143. Let i be (-28)\/y*(-2)\/4. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11713 - 11704. Suppose 2 = -0*l + l. Calculate the smallest common multiple of l and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 402, -4, 23, 1, 0 in descending order.\nAnswer: 402, 23, 1, 0, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.90028 from 223.\nAnswer: 221.09972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3087267 divided by -101?\nAnswer: 30567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2285*b**2 + 18. Calculate l(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 66*t - 55. Let m be r(-30). Find the third derivative of 10 + m*a**3 - 16*a**2 - 10 - 134*a**2 wrt a.\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.4 + 19. Which is the third biggest value? (a) -1.9 (b) t (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 1 o when three letters picked without replacement from kwcwlkvwvwllwok?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*g*j*v + 24*g*j + 123*g - 534*j*v**3 + j - 1 with respect to v.\nAnswer: -95*g*j - 1602*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 483*q - 73 + 38 - 1 - 48*q**2.\nAnswer: -48*q**2 - 483*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-2 - (0 + 2)) + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305207116 divided by -3722038?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -43*t + 164. Let y(i) = -44*i + 162. Let b(a) = -6*y(a) + 5*z(a). What is the derivative of b(c) wrt c?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8.1 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z - 1324 = -489*z - 638 + 1990 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ca - 737c?\nAnswer: -6da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38775 and 282.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23134140 - -203?\nAnswer: -23133432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. Let a(s) = 5*s - 7. Let g(m) = -6*a(m) + 26*w(m). Let p be g(-7). Calculate the highest common divisor of p and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -28\/9*i**3 - 1\/30*i**6 + 17*i + 2\/3*i**4 + 11\/90*i**5 - 1\/315*i**7 + 0 + 5*i**2. What is w in j(w) = 0?\nAnswer: -7, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -44 - 41) + 116 - (21 + -3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*1\/5)\/((-36)\/(-480)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18681914395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -34\/857813 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:07 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25511029*-3\nAnswer: 76533087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 - 12*w + 5. What is r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752, -4521, -8290, -12059, -15828, -19597?\nAnswer: -23366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 53*c + 4133. What is a(-75)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524.5187 times 22?\nAnswer: 33539.4114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g + 5 = 0. Let y be g\/(-5) + 0 + -1. Suppose 114 = 4*v + 26. Solve -4*t - 2 + v = y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-125)\/45 + (-1037)\/9. Let h = -113 - b. Factor -3\/2 - 1\/2*t - 1\/6*t**3 + 5\/6*t**h.\nAnswer: -(t - 3)**2*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/407 - -885\/55759. Let n be (-247292)\/(-108504) - -2 - 3. Let x = n + m. Calculate the common denominator of -101\/6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 + 590*s + 592 = 0. What is s?\nAnswer: -1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + ((-39108)\/(-10))\/(1\/420). Let g = -662533 + y. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3536?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*418\/12. Let g = j - -23. What is the second smallest value in 3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 - 10 - (-1 - (-7 + 6 - 51)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22029*k**3 + 2*k - 129100.\nAnswer: -132174*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 6. Calculate the remainder when 33 is divided by z(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2090, -2053, -2002, -1931, -1834?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 10, -168, 2600 in decreasing order.\nAnswer: 2600, 10, 3, -1, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -326 (c) -105 (d) 5 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipifffiiiipiiifpii. What is prob of sequence fii?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 686347.4l?\nAnswer: 686347400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/(-31)*(-2)\/(-10)*(-60)\/24*10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -59\/4, -3, 0.0436, -1\/2 in descending order.\nAnswer: 0.0436, -1\/2, -3, -59\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -24*t**2 - 981*t + 128. What is b(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/(19\/4) - (-6 + -1). Let h(c) = 23*c**2 + c**3 + 6 + 2*c - 16*c**2 - m*c**2. Determine h(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -7 - -32 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/5 (b) 76 (c) 2.5 (d) -4 (e) -0.38 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 2445 and -3.\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e3ab (base 16) in base 11?\nAnswer: -323502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*-14*14\/147\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppsjjo. What is prob of sequence jpjo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189009 by 8.\nAnswer: 189009\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54.6 * 0.13.\nAnswer: -7.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379389129 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3315*b - 2003*b**4 + 3315*b + (-b**2 + b**2 + 2*b**3)*(4 + b - 4) to the form u*b + g*b**4 + v*b**2 + d*b**3 + q and give g.\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*f - 109*f - 113*f - 103*f - 101*f + 552*f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 743 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2. Let l(d) = -17 - 14 + 27*d + 66 - 33. Calculate l(p(t)).\nAnswer: 189*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/2, 4, -4\/9, -1, -0.011?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498735 is divided by 29322.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*200\/(-875)*10\/4 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301 by -3.\nAnswer: -301\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130299 and 2570.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*s - 22 + 14, 3*t = 8*s + 262 - 344 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 280321.\nAnswer: 2\/280321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -266*s**5 - 1390*s + 353. Differentiate d(b) with respect to b.\nAnswer: -5320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/160 and 101\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-3)*b*b)\/b*b*b*b)\/b*b*b\/(b**(-11)\/b*b) assuming b is positive.\nAnswer: b**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5) + (7 + -5 - -16) + 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2\/5 + 2832*i\/5 - 40432\/5 = 0. What is i?\nAnswer: -722, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16412 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 0*v + 2*v + (-2 + 2 + 2)*(4*v - v - v) - 8*v + 11 - 11 to a + s*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*z - 2*z**2 - 155*z - 181*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 172*k**2 + 225*k - 8991. Calculate h(171).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14035 = -9*l. Let s = l + -110. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, 42, 36, 28, 18?\n\"Answer: -s**2 - s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w - 9. Calculate g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c + 5*c - c)*(4*c**3 - 2*c**3 - 3*c**3) - 7*c**4 + 25*c**3 - 25*c**3.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 352659 * -0.059\nAnswer: -20806.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -9.6 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*l = l + 16, 4*l - 56 = 3*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -5\/3, 23642, -2, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 804 + 1342. Suppose 0 = -5*o - 2*q + 5041 + w, -3*q + 5744 = 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -989572697 and -199?\nAnswer: 989572498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + i - 6 = 0, 3*o + o = -3*i - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 29 - 20 - 18 + 15*i + 20.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + 22*v - 14*v**2 + 12*v**2 - 5*v. Let b(t) = 2*t**2 - 6*t. Let s = -3 - 3. Let r(h) = s*x(h) - 17*b(h). Let p(m) = -2*m**2. Give r(p(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 47267*p**3 + 10*p - 4*p.\nAnswer: 47267*p**3 + 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (6*(sqrt(147)*1)**2 - sqrt(147)) + sqrt(147) + (2*(sqrt(147) - (sqrt(147) + -1)))**2.\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**4 + 51*i**3 - 6*i**2 + 6*i - 185. Let l(z) = -7*z**4 - 50*z**3 + 5*z**2 - 5*z + 184. Let w(m) = -6*l(m) - 5*p(m). Differentiate w(t) wrt t.\nAnswer: 8*t**3 + 135*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2628*y**2 - 532*y**2 + 1 - 1 - 520*y**2 - 528*y**2 - 516*y**2 - 534*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/1 + (-22)\/22. Suppose -4*p = 2*i + 30, -y*p = -i - 2*i + 10. Let d(q) = -q**3 + 5*q + 5. Let j(m) = -m**3 + 6*m + 6. Give p*j(g) + 6*d(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/480*54\/(-12). What is the closest to m in 2\/11, -0.3, -3, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) -0.037 (c) 0.4 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335, -667, -999?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102316 and -430.\nAnswer: -43995880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) - (sqrt(3) + sqrt(363)*-2)).\nAnswer: 3 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 0.6. Let q be -6 - -4 - 2\/(4\/(-3)). Which is the second smallest value? (a) q (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**4 + 7750320*b**2 + 32556460?\nAnswer: -8*b**3 + 15500640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*d - 3*r = 128*d - 27, 0 = 4*d + 5*r - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595376 and 2051?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 5:10 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 184*t**2 - 32*t**2 - 22*t + 13*t.\nAnswer: 152*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v + 0*v)*(-3 + 1 - 4) + 2*v**2 - 2 + 0*v**2 + 1.\nAnswer: -10*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*g + 8 = 0, 3*g + 22 = 5*f + 3. Calculate the greatest common divisor of 8 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74584*j**2 + 26456*j wrt j?\nAnswer: -149168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.004 from -17.\nAnswer: -17.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from obopoorbp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 1\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - m + 71, 0*r + 59 = -4*r + 3*m. Let i = 16 + r. Solve -i*d = -5*w - 11, -2*w = d - 3*w - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/15*4\/(8\/(-6)). Let k(a) = 25*a - 2. Let o be k(g). Suppose 20*t = o*t - 171. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4462279 millilitres?\nAnswer: 0.0004462279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + 1 + sqrt(72) + 4.\nAnswer: 6*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g - 61*g**2 + 60*g**2 - 22*g - 12*g as s*g + k + o*g**2 and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 185702933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 27 = -20*y. Let d = 2231 + -2227. What is the second smallest value in 0.4, 7, y, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45686057 and 14973840.\nAnswer: 60659897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 22 = -360*f + 361*f, 20 + 4 = -7*f + 2*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12001477 to the power of 1\/2, to the nearest integer?\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by 4519?\nAnswer: 185\/4519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -125154 (base 6) to base 16\nAnswer: -2cfe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1853.4 to 0 decimal places.\nAnswer: -1853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -3*r + 2*q, 3*r + 8*q - 3*q - 162 = 0. Calculate the remainder when 252 is divided by r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33828141 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z - 1. Suppose l - 1 = 4*o + 1, -4*l + 8 = 0. Suppose b + 5 = -o*b. Give h(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 6*k - 3 + 14*k**3 + 0 - 12*k**3 to s*k**3 + w*k**2 + j + c*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (1 + (-39)\/15). Which is the smallest value? (a) 0.5 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 + -3. Let o = -5 + -1. Let n = -5.5 - o. What is the nearest to j in 1\/5, -0.4, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(20) + 0 + sqrt(20)))**2*3 + 4.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 521918356 divided by 319021?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -o + 3, -5*i = -5*o - 25. Suppose -3*s - 37 = -3*u - 7, i*u = -3*s + 75. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3552856 by 4.\nAnswer: 888214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + a**3 + 3*a**4 + 2*a**3 - 3*a - 4*a**4 in the form s*a**2 + m*a**4 + b*a + j + z*a**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8673*1607.\nAnswer: -13937511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 866*c - 21104 + 4650 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x - 114. Let f(r) = -11*r + 1. Calculate -2*f(p) - k(p).\nAnswer: p + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14244 + -8507. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 3*j - 1. Let b(o) = -4*o**2 - 10*o + 57. Calculate b(r) + 3*g(r).\nAnswer: -r**2 - r + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 5. Let b(q) = 8*q + 147. Let v(w) = -b(w) - 2*y(w). Let p be v(-18). Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + ((-5*(5 + sqrt(208) + 0))**2 - (4 + (sqrt(208) + 0)**2 + (sqrt(208) - (sqrt(208) + 0)*-6)**2)).\nAnswer: -4580 + 1000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.3 + 22.2. Is d greater than or equal to 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**4 - 2*d**3*x**2 + 973*d**3 - 4*d*x**2 + 4*d*x + 298 wrt d?\nAnswer: -12*d**2 - 12*d*x**2 + 5838*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.1, 4, -2\/9, 7, 0.006, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1488, 24, -8, -6 in descending order.\nAnswer: 1488, 24, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(68)\/sqrt(4) + -2 + sqrt(1088) + sqrt(17).\nAnswer: -6 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 62*k - 64*k = 184906, 2*q - 5*k + 369830 = 0. What is q rounded to the nearest 1000?\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -320386131 - -320399397.22932. Let o = -13266 + m. Let v = -0.23 + o. Round v to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2261505 * 2\nAnswer: -0.452301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*r + 78 = 2*l, 2*l = 4*r + 30. What is the tens digit of l\/(-63)*(0 + -120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -31\/6, -91, 7, 2?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112327083*a**2*y**2 - 4897*a*y**2 + 8460*a*y wrt a?\nAnswer: 224654166*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -80270, -161098, -241926, -322754, -403582, -484410?\n\"Answer: -80828*j + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 - 437365*c - 437360*c + 874725*c + 0 + 0.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*56\/42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5712 and -179\/2142?\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2 - 2)\/(3 - 5))\/2. Suppose b - 3*b = j. Suppose -4*l + 13*l - 189 = b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.064.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -344214, 4.\nAnswer: -344214, -18, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14881 = -16*d + 5487. Let x be (-2)\/13 + d\/2613. Factor x*y**2 + 1\/3 - 2\/3*y.\nAnswer: (y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299 + -188. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and 8\/(-6)*((-525)\/(-144) - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -541\/6. Let y = -49 + 40. Let k = 5 + y. What is the closest to 1 in u, -2\/11, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1728674 is divided by 2531.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 - 153. Let r = m - -200. Which is bigger: -3\/2 or r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 5 + 5. Let w(o) = 2*o - 6*o + 4*o - 2*o. What is w(m(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732144443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6001963 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 24. Let u be b(-7). Solve 0 = 3*w + 5*r, 2*w - r = -u*r - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5209*l + 484379. Determine k(-93).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -527, -837, -1179, -1553?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16) + (-3920)\/(-640).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -219, -0.3, -0.5, -6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387529691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - 0.07. Suppose -87*o + 2 = -89*o. Which is the nearest to 2\/11? (a) o (b) -2\/17 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 159 = 2*r - 0*r, 2*r = 5*c - 171. Suppose -5*z = -117 - c. Is z a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + 7.9. Let w = j + -13. Which is the closest to 0? (a) 0.3 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/3 + 34993*n**2\/3 - 3549636*n + 3537972 = 0 for n.\nAnswer: 1, 306, 34686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -17*a**2. Let d(z) = -3136*z. Determine d(n(r)).\nAnswer: 53312*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*c = -5838, -p + 0*c + 2911 = 3*c. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8 - -6) - -5 - -3 - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**3 + 3*n**2 - 2*n - 2. Let g(v) = -v**3 + 8*v**2 - 7*v + 3. Let k be g(7). Let r be z(k). Let i = r - -487. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.457 and -3?\nAnswer: 1.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*p - 9015841 + 9026421 for p.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 5*w. Let x(c) = c**2 + 21*c - 18. Let r be x(-22). Let d(m) = -m**2 + 2*m. Give r*f(s) - 9*d(s).\nAnswer: -3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (54\/(-297))\/((-1)\/(-11)) - -3451?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 5*p + 5. Let v(y) = 10*y - 8*y**2 - 3*y + 62 - 69. Give 7*b(k) + 5*v(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -393, -588, -783?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 7*j + 10. What is the units digit of m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 10*c - 6. Let p be t(9). Solve p*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**2. Let s be o(1). Suppose s*p = 5*p. Let u = -0.683 + 0.543. Is p less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -8. Let n = 10.9668 - q. Let s = -0.03 - n. Round s to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from apuxm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 386749501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54851 - -0.3?\nAnswer: -54850.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 109. Suppose 4*v = v + g. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*m + 32 = 5*k, -17 = -5*k + m. Suppose -10 = k*l - 3*l. Let i(b) = b**2 + 10. What are the prime factors of i(l)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 + -3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(539))**2 + sqrt(11) + (2*sqrt(11)*-2)**2.\nAnswer: sqrt(11) + 5027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n + 1. Let h(c) = -c**2 - 10*c + 10. Let o be h(-11). What is m(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 28*k**4 + 16*k**3 - 4*k**2 - 16*k + 24. Let x(o) = o**4 + o**3 - o + 1. Let v(j) = -c(j) + 24*x(j). Solve v(a) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (4 + -3)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s = -2403383 + 2406457 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*f = 11, f = 8*o - 6*o + 34. Let d(u) = 2*u**2 + 11*u + 67. What is the tens digit of d(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 281.18 + -276.18. Sort o, 61, 0.5.\nAnswer: 0.5, o, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 + 7*h + 4. Let w be q(-4). Let r = w + 26. Suppose -2*b + 3*b = -r, 5*d - 3*b = 2221. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286709 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8557863 or 8557864?\nAnswer: 8557864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:45 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 2*b - 2. Let i be d(-1). Suppose -i*h - 5 + 145 = 0. What is the greatest common factor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-3)\/12). Let v be (256 + -236)*(-4)\/(-20). Sort v, -4, s, 96.\nAnswer: -4, s, v, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 18 + 18 - n**5.\nAnswer: -n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 15. Let j be s(-9). Suppose 2*h + 4 = -0*h. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -262.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222522, -890516, -2003840, -3562494, -5566478, -8015792, -10910436?\nAnswer: -14250410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 5668?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + (29 - (-76 + 17))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(2\/19)*v)\/v*v**(-2\/3))\/(v*v**(-4)*v**(-6)\/v) assuming v is positive.\nAnswer: v**(652\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2474011 - -49061.\nAnswer: 2523072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4388646800 to the nearest 1000000.\nAnswer: 4389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/18 + 34\/12. Suppose r = 3*t + t - 33, -q*t = r - 16. Suppose -2 = -t*b + 320. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 94. Solve -k*q = -4*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*2\/(-10)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 1 + (-3 - 1 + 6)*(-2 - 1 + 1))*(-u**3 + 4*u - 4*u)*(-4 - 4 + 6) as c*u**3 + j*u + y + x*u**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-21 + 3 - (-18 - -11)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (2 + sqrt(6050))**2)*-6.\nAnswer: -36324 - 1350*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -12*i - 18. Let n be g(-2). Let p(w) = w**3 - 5*w**2 - 9*w + 24. Let h be p(n). Suppose -h*d = -k - 3*d + 8719, -2*k + d = -17418. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-18)*(-5)\/((-25)\/(-2)). What is the second biggest value in 2, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177938 or -2\/5?\nAnswer: -177938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 + 20\/(-3). Let z be i\/((1 - 0) + -3). Let l(c) = 2*c**2 - 5*c + 2. Let p be l(z). Solve s - 18 = 3*m + 3*s, -4*m + p*s = 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)*x)\/x*x**0*x*x**7\/(x**0*x*x))**(2\/9) assuming x is positive.\nAnswer: x**(62\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -21. Let b(m) = m**3 - 11*m**2 - 3*m + 14. Let d be b(11). Let s = t - d. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(12\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005047133534 rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1192167.774 microseconds to weeks.\nAnswer: 0.000001971176875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300145 (base 7) in base 6?\nAnswer: 1025451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**3 - 6*a**2 - 7*a - 11. Let l(j) = 15*j**3 - 13*j**2 - 15*j - 23. Let h(c) = 6*l(c) - 13*p(c). Give h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xex when three letters picked without replacement from {e: 4, g: 3, p: 3, o: 3, x: 4}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196156843.\nAnswer: 797, 246119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose y = m + m. Suppose 32 = b + 3*b. Solve 2*p + m = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -0*t - 13*t. Is (2 + (-2742)\/t)\/((-1)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -502*p + 2*p**2 + 230*p + 382*p as z*p**2 + d + j*p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49011309 is divided by 5850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0446 or -1.743?\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m + 530 + 131 = 40 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -3*v - 5*h, 3*h - 21 = -4*v. Let p be 44\/12 - ((-6)\/v)\/(-1). Solve -c - p = -0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k - 3. Let p(c) = 263*c + 6835. Let n be p(-26). Let u(h) = -h - 4. Let x(d) = -2*d - 4. Let l(q) = -3*u(q) + 4*x(q). Calculate n*l(t) + 4*b(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k**2 + 9 + 11 - 16)*(28 - 18*k - 28) to the form i*k**2 + w*k**3 + o + c*k and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = 35 + 85 + 33 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 3*v - v)*(-3 - 3 - 4) + 143 - 4*v - 138 + 3*v to o*v + u and give o.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 2*x + 2. Let b be v(0). Let f = 0.1977 + -4.1977. What is the biggest value in 1.4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.88004696 rounded to two dps?\nAnswer: -197.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/3))**(-2\/3))**(-11))**(2\/27) assuming t is positive.\nAnswer: t**(-44\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2 - 12, 3*h = 3*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by (-3 - -5)*(93\/6 + -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-17)*w\/(w*w**(13\/4)\/w*w)*((w*w**31)\/w)\/w**(-23) assuming w is positive.\nAnswer: w**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*j - 11, f + 4*f + 3*j = -17. Is 4\/745 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*o**3 - 4\/7*o - 2\/7*o**2.\nAnswer: 2*o*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*r = -410*r + 96. Let s be 54\/(-48) + (-4)\/r. Let m(c) = 8*c**3 - 2*c - 1. Determine m(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 8. Calculate the remainder when 7 - (264\/(0 + -4) - 3) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 2*k**2 - 9*k + 12. Let f be ((-6)\/(-4))\/((-15)\/(-50)). Is d(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-147))\/(1\/28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 63 = -45. Let g = -311 - -380. Suppose 4*z - 83 = -4*d - 15, 5*d - g = -z. What is the remainder when i is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -8, -4, -186 in descending order.\nAnswer: 5, 2, -4, -8, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(154\/35)*-17 and -89\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 9:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let t(i) = -i + 3. Let v(c) = -4*m(c) + t(c). Let y be v(3). Let k(d) = 2*d - 4 + 12 - y. Let w(u) = 2*u - 23. Calculate w(k(h)).\nAnswer: 4*h - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*w + 23 = w, 5*z + 5*w = -15. Suppose 3*f - z*y - 289 = 0, 3*f - 168 - 107 = -5*y. Calculate the highest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -1.9834842.\nAnswer: 3.0165158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2. Let y = -4 + 7. Let g(v) = -v**3 + 9*v**2. Let c(p) = -p - 12. Let i be c(-5). Let s(j) = i*l(j) + y*g(j). Solve s(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**4 - 8*s**2 + 2*s + 6. Let d(b) = 2*b**4 - 7*b**2 + 3*b + 5. Let v(p) = -6*c(p) + 4*d(p). What is a in v(a) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 1818916?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2937*a**2 + 8757*a**2 - 2925*a**2 - 2897*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11553966 rounded to three decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - -1) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*t - 47 = 51, y - 26 = -3*t. Let c = 6206 + -61941\/10. Calculate the common denominator of c and (y\/(-12))\/(4\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(6)\/sqrt(2)) - ((sqrt(51)\/(sqrt(12)\/sqrt(4)) + sqrt(17) + sqrt(17))**2 + sqrt(17)).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:59 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 20*d - 47 = -2*n, -d = -3. Calculate the remainder when 55 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 921183 or 921186?\nAnswer: 921183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**7\/189 + 4*l**6\/135 + l**5\/18 + l**4\/27 + l. Determine d, given that n(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12000133 - -1?\nAnswer: -12000132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5\/4 + 63*q**4\/4 - 501*q**3\/4 + 1857*q**2\/4 - 774*q + 420 = 0?\nAnswer: 1, 4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 4*s + 1. Let f = -25 + 20. Let c be 1 + -3 + f + 4. Is 21 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 8971, -4, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3585 + 3584.99992293. Round s to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2765 is divided by 655?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -211.\nAnswer: -19\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - 1100011011101?\nAnswer: -1100100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 < 1557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:27 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1782)*-2)\/((sqrt(352)\/sqrt(8))\/sqrt(4)))**2.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4080 and 61\/2856.\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1918, -1913, -1906, -1897?\nAnswer: -1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 16, -0.1 in descending order.\nAnswer: 16, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359883 is divided by 2542.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:47 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*m - 18, 3*m = -2*d + 7*m - 6. What is the third derivative of 6*p**4 - d*p**2 - 4*p**2 + 15*p**2 wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - 1*-2*sqrt(1872) - (sqrt(1872)*2*-5 + sqrt(1872)).\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*q**4 - 111*q wrt q?\nAnswer: -2820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -i, -2*i + l + 4 = -5*i. Suppose 10*m - 7*m = -15. Let t(r) = 2*r**2 + 5*r + 2. Let a be t(-3). Sort i, m, a.\nAnswer: m, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (2 - 6) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*t + 36191 - 4129 = -197*t - 2771 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11 = -4*o, 2 = -5*o - 23. Determine a so that 16 - 4*a**s + 0*a**3 - 12*a**2 + a - a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 4*j + 2*j + 0 + 0 - 2*j + (-j + 0*j - j)*(0 + 4 - 2) - 1 + 15*j + 13*j - 26*j.\nAnswer: -5*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000138631 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-28) + -2)\/(10469\/2527)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 16 = 2*j, 5 = -4*j + 3*f + 25. Suppose -4*a + j*m + 208 = 0, -5*a = -3*a + m - 104. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96, 215, 320, 405, 464, 491, 480, 425?\n\"Answer: -j**3 - j**2 + 129*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1627 - 909. Suppose 4*m - 3*x = 1179, p = 4*m - 4*x - 458. What is the second derivative of -13*k - 14*k**4 - m + 297 wrt k?\nAnswer: -168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.2. Let j = -67 - -65. Let o be -3*(1445\/(-153))\/(-17). Which is the closest to -1\/4? (a) j (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2416\/56)\/2 + (-8)\/14. What is the greatest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-144) - (-2)\/(-8). Put -3\/5, t, -1\/7 in descending order.\nAnswer: -1\/7, t, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*i + 26, s - 14 = -s - 2*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 10*l**2 + 7*l - 18. Let m be n(-9). What is the derivative of 0 - 6 - 11*b**2 - 9 + m*b**2 wrt b?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -75. Is (l\/(-4))\/7*-334 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 3*c + 5*n - 360, 338 = 2*c + 4*n. Suppose 8 = s + 59. Let k = -36 - s. Calculate the greatest common divisor of c and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*i + 24*i + 21*i + 4)*(-4*i - i + 3*i) to n*i + s*i**2 + u and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74018\/55 > 1345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and -504 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 34. Let u be 16\/t*(-33)\/2. Calculate the common denominator of 15\/8 and (40 + 1)*2\/u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1023*p + 103*p + 79721*p**2 - 79722*p**2 to the form a*p**2 + q*p + t and give q.\nAnswer: 1126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 75, 0, -5, -4, -37, 13 in increasing order.\nAnswer: -37, -5, -4, 0, 5, 13, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 4 - -4 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + r**3 + 16*r**3 - 48 - 12*r**3 - 7*r**3 + 95.\nAnswer: -2*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 - 3 - 89*p**3 + 89*p**3 - p**2 - p + (3*p**2 + 3*p**2 - 2*p**2)*(-p**2 + 4*p**2 - 5*p**2).\nAnswer: -11*p**4 - p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Let k(s) = -s**3 - s**2 + s. Let l(d) = -d**2 - 5*d - 4. Let y be l(-3). Let p(f) = 4*f**3 + f**2 - 3*f. What is b*p(z) + y*k(z)?\nAnswer: 2*z**3 - z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 8. Let o be a(5). Suppose -14*p + 16 = -24 - 16. Determine b, given that 6*b + o*b**2 + 3*b**3 - b - 3*b**p - 8*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392880634 to the power of 1\/2, to the nearest integer?\nAnswer: 19821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -266 + -3?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22399936 and 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 112 - 2*m - 15*m - 5*m**2 + 9955 + 3*m**3.\nAnswer: -m**3 - 5*m**2 - 17*m + 9843","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - j - 4 = 0, -3 = -s + j + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/25665 and 121\/3480.\nAnswer: 205320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*k + 0 = 9, -2*a - 3 = -k. Let o = 6 - 8. Sort a, -2\/11, o in ascending order.\nAnswer: o, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233 + 244. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9 (b) 0.4 (c) -2 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*v + 44*v + 5*v**2 + 42*v - 177*v - 2 to s*v + d*v**2 + f and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -497 and 0.88.\nAnswer: -437.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-3)*(-42)\/567\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/43 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/((-6)\/(-18)). Suppose -2*h - r + 14 = -6, -4*h = w*r - 36. Calculate the highest common divisor of 99 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekk when three letters picked without replacement from eeemeskemkmqeeseet.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4220147162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46, -56, -60, -58, -50, -36, -16?\n\"Answer: 3*m**2 - 19*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 736 and 9568?\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 178. Give h(-22).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/2*368\/(-1656).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + c + 432 = 0, -265 = 4*p + 3*c - 2007. Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 766 or 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2732)\/(-20) - (-3 - (-13)\/5). Suppose 5*n - c = -87. What is the remainder when 99 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110 in 0.5, 4, -2\/11, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1924624272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 = 5*d + 15, 0 = -d - t + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 1536*b**3 + 145912*b**2 + 296448*b + 148996.\nAnswer: 4*(b - 193)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 47*v + 5230 = 0. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(208))*5 - (sqrt(78)\/(sqrt(150)*2))**2.\nAnswer: -513\/100 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1926*d**2. Let s(t) = 11*t**2 + 16793. What is s(a(u))?\nAnswer: 40804236*u**4 + 16793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) - (754\/(-5))\/(-2). Let g = q + 78. Differentiate -7*k**3 + 13*k**g + 3*k - 3*k + 18 wrt k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.3 (b) -1\/75 (c) -2 (d) 8\/221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 203. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.58 + 0.42. Let a = 0.044 + -23.444. Let d = t + a. What is the third biggest value in d, 0.5, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(1 + 1 - 4)*(-8 + 12 + 9)*(-35*p + 35*p - 4*p**3).\nAnswer: 208*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45883, 183566, 413033, 734278, 1147295?\n\"Answer: -c**3 + 45898*c**2 - 4*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1494 and (28\/(-616))\/(-3 + 1368\/454) + 5.\nAnswer: 16434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 2) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (7 - (-6 + 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 2. Let f be v(3). Let h be 21\/49 + f\/14. Sort -0.2, h, -3 in decreasing order.\nAnswer: h, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 11. Let q be 24\/(-60) - 47\/(-5). Let c = q - 4. Let v be s(c). Solve -6 = -4*f + v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -689 - -19287\/28. Let t = -13\/28 - m. Let s = -153.4 + 153. Which is the nearest to t? (a) s (b) 3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56607.61ml in litres?\nAnswer: 56.60761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3806.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3, -121855, -5, 2.\nAnswer: -121855, -5, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from nsnnininhchnhss.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134463129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 9686371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**4\/24 + x**2 + 6. Let r(k) = -k. Determine -5*j(b) + 6*r(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6392 and 20\/101473?\nAnswer: 811784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -413, -429, -461, -515?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 423\/11 + -7938\/209. Let u = j - -1\/38. Let y = -3.7 - -4. What is the nearest to y in 7, u, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*9\/((-108)\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-174)\/(-348))\/(2 + (-6)\/4). Suppose q - 32 = 5*q. What are the prime factors of 84 - c\/(4\/q)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 + 20*l + 20. Let i(s) = -s. Let z(v) = -4*i(v) - y(v). Factor z(b).\nAnswer: 4*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201 and 366423?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 312300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*a + 12. Suppose -3*b - 509 + 563 = 0. Suppose 5*o - b = 2*q, 7*q + 20 = 2*q. Calculate the least common multiple of a and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/3)\/(-6)*-45. What is the second derivative of -a*z**5 - 2*z**5 - 2*z - 4*z**5 wrt z?\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4619, 3723, 2827?\nAnswer: 1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -105. Suppose l - j = -4*k, -k - l + 10 = 2*l. Solve 0 = -3*i + 2*i - k*q + 5, 4*i - q + 14 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**7\/105 + 7*b**5\/60 - 7*b**2. What is the third derivative of j(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:29 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/2 + 312*o**5\/5 - 2175*o**4 + 10000*o**3 - 584. Factor z(y).\nAnswer: -3*y**2*(y - 50)**2*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/115 and -15\/2?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 607.04 to the nearest integer.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 21 = -21. Let i(y) = -y**2 - 6*y + 2. Let n be i(-6). Suppose -4*o + 0 = -12. Solve k = o*r + n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*z - 4*z - 2*j, 4*z - 4*j - 12 = 0. Let k be z\/4*(-4)\/(-12). Solve k = -v + 4*l - 11, 2*v - 3*l + 11 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 204a?\nAnswer: -2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -53. Calculate the highest common factor of r and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {e: 5, c: 3, o: 2, g: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 3*c + 2 - 2*c + 2*c**3 - 3*c**2. Let r(f) = -f**3 - 4*f**2 - f - 2. Let k be r(-4). List the prime factors of z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.32 and 929371.4.\nAnswer: 929371.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**3 - m**2 + 212 wrt m.\nAnswer: -24*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*x + 17. Suppose -2*h + 6 = -x. Let n = -3803 - -3843. What is the highest common divisor of h and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 12. Calculate the remainder when 18 + (-3 - (0 - 2)) is divided by v(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d - 21. Let w be q(4). Let f(o) = -o - 5. Let s be f(w). Solve -3*y + 4*g - 7 = s, -g + 4 = y + 4*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 256 = 798. What is the highest common divisor of f and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1702*g + 49*g**2 - g**4 - 850*g - 2 - 852*g wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*v + m, 6 = -3*v + 5*m - 4. Calculate the common denominator of (73\/24 - 3)\/(v\/62) and -77\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.64\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwwwbbbwbbw. Give prob of sequence bw.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/70)\/((-2)\/(-56)). Let w(a) = -175*a - 1571. Let c be w(-9). Calculate the highest common factor of c and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1786 and -611290?\nAnswer: 611288.8214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 - -1.18. Let k = 0.03 - j. Let l = 0 + 0.1. Which is the biggest value? (a) l (b) 3\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3430 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*1 - sqrt(21))\/(1*sqrt(75)) + -3)**2.\nAnswer: -12*sqrt(7)\/5 + 253\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 10*d - 7. Let z be w(-9). Calculate the lowest common multiple of 2 and ((-30)\/(-8))\/((-6)\/z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) + 3\/(-9). Let p(u) = 2*u**2 + 1. What is the units digit of p(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 + -15 - (-168 + 180)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:51 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -248 - -239 - (0 + -1 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2407 - 301?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**24)**(-21\/5)\/(b**33)**33)**(-12\/13) assuming b is positive.\nAnswer: b**(71388\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 - -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.95 - 8. Let d = t - 0.15. Which is the second smallest value? (a) d (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -16.4014\nAnswer: 0.656056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(5))**2 + -5 - ((sqrt(5) - sqrt(5)*3 - sqrt(5))*6)**2) + -1*2*(((sqrt(500) + 0 + sqrt(500) - sqrt(500))**2 - sqrt(5)) + sqrt(5)).\nAnswer: -2616 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22469 + 22474. Let f = -7.5 + 2.5. Which is the third smallest value? (a) 3 (b) f (c) k (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 - 3*p**2 - 19*p + 18 = 0?\nAnswer: -9\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 213376 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 169, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 216122931 to the power of 1\/2, to the nearest integer?\nAnswer: 14701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d**4 + 384915*d**3 - d**2 - 99466*d + 162?\nAnswer: -888*d + 2309490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217064\/(-1720) + (0 - -124).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 - -323\/3. Factor -1\/3*f**4 + f + 1\/3*f**3 + 0 + r*f**2.\nAnswer: -f*(f - 3)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206191200 and 14589.\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(-1*sqrt(3000) + sqrt(3000) - sqrt(3000)))\/(sqrt(10) - -5*sqrt(30)\/sqrt(3) - (sqrt(80)*2)\/sqrt(8))*-4)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 5) in base 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5933 - -6441. Calculate the smallest common multiple of 11 and z.\nAnswer: 5588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-3\/7))**(3\/2)*(f**(-30)*f)\/(f*f\/(f\/f**(-14\/11))*f) assuming f is positive.\nAnswer: f**(-4215\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 7:51 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - v + 19, v - 40 = g - 6*g. Let x be 2*2\/(4\/5). Suppose -x*r = -g*r + 12. Solve r*n = n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -2*x**3\/3 - x**2 - 2*x - 1. Suppose -24*a + 8*a - 48 = 0. What is r(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 227180342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 57402 divided by -6378\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -18, -16, -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16116986643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 49. Let n be b(0). Let w = n - 26. Suppose 5*a + 3*z = 19, -5*a + z + w = 2*z. Solve 2*g + 3 - a = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 12*m**2 - 16. Suppose 0 = -0*a + 2*a + 22. Is v(a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7119 = -73*r - 94*r - 291*r - 333*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-24) + (-63)\/24. Let t(d) = -2*d - 3. Calculate the remainder when 4 is divided by t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6 - 3 + 4 - 15*i + 2. Let t(a) be the first derivative of -7*a**2\/2 + 4*a - 1. Calculate 13*t(v) - 6*z(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91716151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*s + 41*s - 112*s + 2*s**2 + 34*s as w*s**2 + f*s + t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746281714 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbgze. What is prob of picking 1 b, 1 z, and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 714 = -27*t. Suppose -2*g + 2*r + 46 = -5*g, -3*g - 70 = -4*r. Which is greater: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*p**2 - 449*p**2 - 446*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.02, 0.22, 5, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 278. Let v be ((-1)\/(-2))\/(-3*(-70)\/q). Suppose 6 = -f + 4*f. Which is the fourth biggest value? (a) 5 (b) v (c) 0.1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/8)\/((-4)\/16). Find the second derivative of -2*a - 3*a**d + 0*a - 2*a**5 + 3*a**5 wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*z = 22, -2*u = -0*z + z - 1. Solve -u*m + 2*m**2 - 2\/3*m**3 + 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 492 + -317. Let n = l - 174. Which is the closest to n? (a) -5 (b) 1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdb when three letters picked without replacement from {d: 7, b: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7695)\/108)\/19*4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 19*y = 9. Which is the nearest to 2\/5? (a) y (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*u - 412*u - 58*u**3 - 8*u**3 + 204*u + 13*u**2 to h*u**2 + n*u + a + l*u**3 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8593360 and 106557664?\nAnswer: 532788320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115*v - 1288 = 1092*v. Let y = 507 - 284. What is the remainder when y is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104643231?\nAnswer: 3, 7, 11, 139, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1983724550 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexexexeex. What is prob of sequence exx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 7:14 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 32 = -17*w - 75 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8698883 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = c + 53. Calculate the greatest common factor of 561 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (-55)\/((-935)\/51).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6413, -25301, -56779, -100847, -157505, -226753, -308591?\nAnswer: -403019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 22 = 5*b, b - 5 = 6*f + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 423*-2\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -746*n - 36550. Calculate l(-49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14557.\nAnswer: 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -8. Let z = 38.6 + -44. Let b = z - t. What is the closest to -2\/5 in b, -1\/8, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 14 = -2*w. Let j = -10 + w. Let c be -2 - (-4)\/(4\/j). Solve -2*f + 4 = -i, -4*f = -c*i - 4 + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/85*8\/(256\/280).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 3709 = 849 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2694112 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjatajjt. What is prob of sequence at?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.702 + -38.702. Let n = -6 - -10. Let b = n - 8. Sort 2\/9, b, i, -8 in descending order.\nAnswer: 2\/9, i, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 10. Let j be z(10). Suppose -3*f = -3*s - j*f - 117, 124 = -3*s - 4*f. Find the common denominator of 42\/(-20) + 24\/s and 83\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-5285.\nAnswer: 528.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770173980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let n(a) = -189*a**2 + 2*a + 4. Let b(u) = -189*u**2 + 3*u + 6. Let z(o) = -2*b(o) + 3*n(o). Determine z(c(d)).\nAnswer: -189*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*z - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*5\/(-10) + -1. Suppose s + 3*s - 14 = -2*n, 0 = -m*s + n - 3. What is the least common multiple of 4 and 6\/8*4 + s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 7\/9, -0.04, -2\/5 in increasing order.\nAnswer: -20, -2\/5, -0.04, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 u when three letters picked without replacement from {x: 7, t: 4, u: 2, k: 5}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, 436, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2293*j - 11691*j + 2292*j + 2531*j + 2292*j + 2284*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 4*x + 440. Calculate h(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((6*sqrt(880))\/sqrt(5) - (sqrt(44)\/sqrt(4)*4 - (sqrt(44)\/sqrt(2))\/sqrt(2))))*-4)**2.\nAnswer: -672*sqrt(11) + 77632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/65 + 5\/13. Suppose 6*i = 4*i + 10. Suppose 2*m + i = 1. Which is the closest to 1? (a) s (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 10 = -2*g, m + 2*g = -2*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Let t = z + -3. Solve -3*q - 3*g - 18 = 0, -q - 5*g - 9 = -t*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 + 93237*z**4 + 723448416*z**3 - 15226840104*z**2 + 52222995600*z - 49327710000 = 0. What is z?\nAnswer: -15550, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147382 - 147349. Let k(c) = c**3 + 5*c**2 + c - 5. Let v be k(4). Calculate the greatest common divisor of y and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(1216) + -1 + sqrt(1216) + sqrt(1216))*6 - sqrt(1216)) + 4*(0 + sqrt(1216))*-5)*-1)**2*6.\nAnswer: -16128*sqrt(19) + 1430880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8361 (base 11) to base 13\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229 - 556*i**4 + 107 + 394 - 1254*i**4 with respect to i.\nAnswer: -7240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521*c**2 - 268*c**3 - 757*c**2 - 764*c**2.\nAnswer: -268*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 574620, 1149231, 1723842, 2298453, 2873064, 3447675?\n\"Answer: 574611*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 26 + 46 = 0. Suppose x - 7 - v = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7030139ng in tonnes?\nAnswer: 0.0000000000000007030139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:00 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2918\/199315?\nAnswer: -2918\/199315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 9*k - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451639?\nAnswer: 7, 207377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r - 2. Suppose -z + 1 - 6 = 0. Let d(q) = q + 8. What is the remainder when i(6) is divided by d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.432 + 113.568. Let q = -9280.91 - -9170. Let z = d + q. What is z rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011201110 - -10100?\nAnswer: 10011211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 + j**2 - 5*j - 17. Let t(f) = -2*f**3 + 2*f + 8. What is -5*t(a) - 2*z(a)?\nAnswer: 2*a**3 - 2*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*n - 21 = 0, n = 3*u - n. Suppose -u*q = -4*q. Solve 5*x - x = q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7132*y + 75. Let d(a) = 13543670*a + 142440. Determine -5*d(j) + 9496*q(j).\nAnswer: 7122*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, -0.1, -1.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 55323351?\nAnswer: 55323344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 - 3\/(-18)*32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0 (b) -7.5 (c) -2.9 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 620*z**2 - 20484*z + 800. What is a(33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -491331606?\nAnswer: 491331607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 10*v**2 - 11*v - 12. Let w be z(-9). Suppose -s = -w*s + 15. Suppose -s*m = m - 28. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 27677*d**2 - 55330*d**2 + 27664*d**2. Let q(k) = 10*k**2. Give q(b(m)).\nAnswer: 1210*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 507154616 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(2\/1) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 10*o + 33. What is j(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/21*g + 0 - 2\/21*g**2 = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 2627?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 63*k**2 - 27*k + 86. What is s(-31)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 1251\nAnswer: 1501.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**(2\/9)\/(o*o**(6\/5)*o*o*o)**13 assuming o is positive.\nAnswer: o**(-9146\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.93 - 0.07. Let b(w) = -w**2 + w - 1. Let j be b(2). Let y be 355\/(-70) + 4 + (-7)\/(-14). What is the third smallest value in j, y, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 33 = 147 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 30*f - 30. Let a(x) = -x + 2. Let v(j) = 15*a(j) + u(j). Let d(c) be the second derivative of -c**3\/6 - 3*c. Calculate d(v(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 74*i + 106 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035044951 to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -34*g + 28. What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 + 0*q**2 - 2\/7*q**3 + 6\/7*q.\nAnswer: -2*(q - 2)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -550\/9?\nAnswer: -550\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**3 + 2*s - 1. Calculate the remainder when ((-188)\/8)\/(10\/(-4) - -2) is divided by n(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 27 = 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64944*r + 194840*r - 64945*r - 64950*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, g: 7, k: 2, b: 1, e: 5}. What is prob of picking 3 g and 1 l?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-26)\/a**(3\/11)*a**29\/a**17 assuming a is positive.\nAnswer: a**(-157\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 2*g**2 - g - 2. Let u(z) = z**2 + 5*z - 2. Let b be u(-5). What is h(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 70010*d**3 - 3*d**2 + 29*d + 80. Let m be q(-2). Round m to the nearest one thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iidi when four letters picked without replacement from {d: 6, i: 7, o: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97.63 and -4.9.\nAnswer: -478.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 159?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -358, 2129, 7468, 15659, 26702?\n\"Answer: 1426*b**2 - 1791*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027833162 plus 0.1?\nAnswer: 0.127833162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41960 divided by 5?\nAnswer: -8392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 39*r**3 + 9225*r**2 - 13572*r - 1434. Give n(-238).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23571.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11 = -0*f - 5*f, 3*f - 3*z = 12. Let i = 4 - f. Let s = 0 + i. Solve 2*v + 12 = -2*t, -2*v - 3 = -s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 3140131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2642*y + 2. Let x(a) = 11*a. What is x(b(z))?\nAnswer: -29062*z + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**4 + 16*q**4 - 5*q**4)*(-1 - 6 + 0) + (-2*q + 2*q + 3*q**2)*(5*q**2 - 4*q**2 - 2*q**2) to p*q**2 + s + b*q + z*q**3 + u*q**4 and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10*p)**24 assuming p is positive.\nAnswer: p**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -375.5 - -370.5. Let s = -12.489 + -0.011. Let w = s - -12. What is the third biggest value in -2\/11, w, 9, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7972243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47.63 + -48. Let q = j - -0.07. What is the third smallest value in q, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3716, 7584, 11452, 15320?\nAnswer: 19188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -5. Suppose -2*v - s = -q + 2, -24 = -4*q + 2*v. What is the remainder when 64 is divided by -4 + q + 23 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(72\/(-180))\/(22\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3432*y + 54986. Give p(-16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*d**3 - 1 - 38*d**3 + 0*d + d to u*d**2 + a*d**3 + f + c*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1. Let v(m) = m**2 - 8*m - 2. Let s = 54 - 49. Let f(t) = s*u(t) - v(t). List the prime factors of f(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-20)*2*(-98 + 8). Let q be (-8)\/t + (-1)\/(-9). Solve q = -u - 9 + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 855 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -1\/2*v**4 - 4*v + 0 + 0*v**5 - 1\/6*v**7 + 0*v**3 + 0*v**2 + 0*v**6. What is the third derivative of s(w) wrt w?\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-4 - -6 - (-2 + -7 - -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/128 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {d: 4, v: 4, u: 2, w: 2, c: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277 + -165. Let a = -19 + 33. Calculate the greatest common divisor of a and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -16 + (11 + -10 + 8 - 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + -4207236598.\nAnswer: -4207236685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 minus 0.4?\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007427853 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 1:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*3)**2 + sqrt(11) - ((sqrt(11)*-1 + sqrt(11))*6)**2.\nAnswer: sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 3. Let w be 14\/4*(0 - -4). Let h(b) = -10*b + 10. Suppose -2*p + 4 = 2*n + 2*n, 3*p = 3*n + 15. Let m(d) = p*h(d) + w*q(d). Give m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 254008387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 122*m**2 - 129*m - 725. Let p be f(-123). What is the highest common divisor of 27833 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -48*c**2 - 194*c - 11. Let u be s(-4). Suppose -3*a + 7*a - 8 = 0. Let l(k) = -k**3 - 4 + k - 5*k + a*k**2 + 2*k**3. Give l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1014 and 22.\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1015721221*o**4 - 328589217.\nAnswer: 4062884884*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -67*k. Let n(s) = -9*s + 8. Let f(o) = -8*o + 6. Let v(j) = -4*f(j) + 3*n(j). Calculate v(i(p)).\nAnswer: -335*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2851*k + 6. Let u(i) = 11403*i + 22. Give -3*u(n) + 11*z(n).\nAnswer: -2848*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, 0.08, 0.7, -833?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1296*i - 2875*i - 282*i - 847*i + (-2 + 2 + 1)*(-i - 2*i + 2*i) to d*i + s and give d.\nAnswer: -2709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8619351 - -13619.3?\nAnswer: -8605731.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -166, 5 in decreasing order.\nAnswer: 5, -166, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.36 + 1.36000128. Round x to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*r + 3 = -2*y, 2*y + 1 = -3*r. Let i(m) = m**2 + 2*m - 1. Let n be i(2). Suppose x + y = n. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z + 12*z + z**3)*(-11012*z - 39 - 264 + 11016*z).\nAnswer: 4*z**4 - 303*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20454022 (base 6) to base 14\nAnswer: -1180a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*i + 15 = 289*i, 4*i = -2*n - 8 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*j = 40, -3*d - 5*j + 0*j = -28. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -9. Let f be (4\/c)\/(10\/(-30)). Suppose -b + 9 = -3*o, f = 4*b + 4*o - 0*o. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12 - (-24)\/(-144).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2\/2 + m + 1. Does 8 divide p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 34. Let g(n) = -2*n**3 + 35*n**2 + 12*n + 3. Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (15 + -22 - (-2 + 3)) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -37. What is the third biggest value in -0.4, 1\/3, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccyy when four letters picked without replacement from {a: 1, c: 8, i: 5, y: 2}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 19546504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 1. Suppose 4*g - 54 - q = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*n**2 + 11 + 4*n**3 - 5*n**3 - n**3 - 2*n**3 wrt n?\nAnswer: -12*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-2 + 1 - 1)*(-2*g + 4*g + 0*g) + 0*g + 3*g - 2*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146181 is divided by 3748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -1, 2\/69, 57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12)\/(912\/(-27360)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -4\/7, 0.3, 1\/6, 1721\/669?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 379372 + 0.016538562?\nAnswer: 379372.016538562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 + 2*l + 10. Let q(x) = -3*x**2 - x - 3. Let r(d) = 7*q(d) + 2*s(d). Let a = 3 - 5. Let c be r(a). What is c rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2\/11, 135, 1?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*m - 5*m - 5*m**2 + 8*m + (-2*m - 9*m + m)*(4*m - 2 + 2) - m**2 + 3 - 3.\nAnswer: -46*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 273391 less than or equal to 273079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**3 - 14*d**2 - 14*d + 6. Let o(h) = -4*h**3 - 8*h**2 - 7*h + 4. What is 3*c(k) - 5*o(k)?\nAnswer: -k**3 - 2*k**2 - 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103191*p = 103377*p + 9858 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 477234528 times -0.1\nAnswer: -47723452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, -4*r + 36 = 3*f + 9. Suppose 33 + f = -z - 4*s, 4*z + 126 = -2*s. Let k = z - -153. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/4 - 19325*y\/4 + 2117430.\nAnswer: 5*(y - 3361)*(y - 504)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40 times 1\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 11167?\nAnswer: -1563.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -71*d - 212 + 7092. Calculate the remainder when 778 is divided by d.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 182.\nAnswer: -5, -2, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86118 is divided by 16997?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + 36 = 0. Let b(d) = -4*d**2 + 0*d**2 + 3*d**2 - 3*d**2 + 13*d. Let j(i) = i**2 - 3*i. Suppose -2 = 4*l - 3*l. Calculate l*b(y) + z*j(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 326, 372, 422, 476?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14872 and 12584.\nAnswer: 163592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let x(j) = 6*j - 1. Let t(n) = 15*n + 73. Let u be t(-5). Give u*x(p) + 10*z(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1778 + 4?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (18\/10)\/(6\/60).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*c*u**4 - 501807*c*u**3 - 66431974*c wrt u.\nAnswer: 64*c*u**3 - 1505421*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((-11)\/(-66)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189 - -213. Does 16 divide (-11 + (3 - -12))\/(2\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = -17*z + 254 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) 2 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1109709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 51 + 66 = -5*d, -4*c - 9 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2373, -4744, -7115, -9486, -11857?\nAnswer: -14228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {o: 6, n: 3, g: 8}.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*h**3*u**2 + 3*h**3 - 3*h**2*u + h*u**2 + 2*h*u - 17*u**2 - 62*u wrt u?\nAnswer: 88*h**3 + 2*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i. Let h(z) = 13*z. Let f(d) = -6*h(d) + 11*j(d). List the prime factors of f(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*g - 11608 + 9704 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*w + 300 = 898*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348937015 divided by -7.\nAnswer: -49848145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250737.\nAnswer: 3, 83579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 7:12 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*v = -3*g - 104529, -4*g + 2*v = -209130. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1744 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*n = -10, -n - 127 + 126 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2848 is divided by 946?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 46\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1140174, -2280343, -3420512, -4560681, -5700850, -6841019?\nAnswer: -7981188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w - 4. Let i be c(7). Let y = i + 8. Suppose -v = -y*v + 9. Solve v*m - 8 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42358*v - 27251 + 13630 + 13621 in the form p + h*v and give h.\nAnswer: -42358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.01 - 1.1. Let x = -3 - -3.2. Let s = x - z. Round s to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*t*t**(-1)*t)\/(t\/t**(1\/26)*t**(-7)) assuming t is positive.\nAnswer: t**(268\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q + 8 = 0. Let h be q\/7 - (-12)\/7. Suppose -152004 = h*p + 4*i, -2*p - 3*i - 1299 = 150704. What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29604716?\nAnswer: 2, 101, 127, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f + 26*f + 171 = 0. Solve f*h = 4*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s**2 - 7*s - 7. What are the prime factors of d(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -741079*h*s**2 + 461*h*s + h + s + 1 wrt s?\nAnswer: -1482158*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a - 1 - 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2. Let p be (3 + -5)*(-2 - -3). Let k be f(p). Let m(g) = 3*g - g**k + 2*g - 5*g. Let t(i) = -3*i**2. Calculate m(t(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*m + 423*m - 32*m**3 + 16*m**3 + m**2 - 58 + 14*m**3 to h*m + l*m**3 + z*m**2 + t and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n. Let u = 0.13 - 5.13. Let v = 3.9 - 4.4. Which is the nearest to n? (a) u (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11511191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -625*a**3 + 2*a**2 + a. Let r be i(-1). Let u = r - 333. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26\/7 (b) 5 (c) -759 (d) 2 (e) 2\/5 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 3*v**2 - 95*v + 97. Let k be c(1). Let b(m) = m**3 + 3*m**2 + 8*m + 4. Calculate b(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 16*h + 7*h - 115.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2 + 1524*o - 2016 with respect to o.\nAnswer: -4*o + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*i = 7*i - 23, 2*i = -2*t + 14. Let m(j) be the first derivative of 0*j**4 + 0*j - 4 + 1\/12*j**t - 1\/3*j**3 - 1\/4*j**2 + 1\/5*j**5. Factor m(u).\nAnswer: u*(u - 1)*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6732\/561)\/(((-12)\/18)\/((-4)\/(-3)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -0.01, -728.9, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-140)\/4*3\/(-1). Let x be (-36)\/20*(-50)\/s. Determine o, given that 2\/7*o**3 - x*o + 0*o**2 + 4\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.791167 centuries?\nAnswer: 0.3791167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14878*n - 6091*n - 15312*n + 211*n.\nAnswer: -36070*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3069*g + 581 = 3076*g. Calculate the remainder when 492 is divided by g.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15287 = 2*u, -95*g - 5*u = -96*g + 3079. Calculate the remainder when g is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 9 - 24. Let b(m) be the first derivative of -m**3\/3 - m**2\/2 + m + 1. Let u(i) = -5*i**2 - 4*i + 4. Give t*u(g) - 12*b(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(7) + -2 + -4.\nAnswer: -10 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 3*w**2 - 97*w\/2 + 315.\nAnswer: (w - 9)*(w - 7)*(w + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(121) - sqrt(121))*-1 - -2*(1*sqrt(121) + sqrt(121)))\/(-5*-1*(sqrt(1331) - sqrt(1331)*-2)).\nAnswer: 2*sqrt(11)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*a + 5*o - 3, -4*a - 2*o = -26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -62*b**5\/5 + 337*b**2\/2 - 15*b + 1. What is the first derivative of t(o) wrt o?\nAnswer: -744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 2. Let b(m) = -8*m**3 - 4*m**2 + 205*m - 342. Let k(p) = b(p) + 3*r(p). Factor k(n).\nAnswer: -4*(n - 2)*(n + 6)*(2*n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 + 133. Let t = -38 - h. Suppose 13*y - 447 = -t. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159? (a) -0.4 (b) -0.47 (c) 0.5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:13 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16584969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t. Let z(i) = -7*i. Suppose 0 = y - 4*f - 6, -14*f - 27 = 3*y - 11*f. Let q(b) = y*j(b) + 5*z(b). Let g(v) = -81*v. Give g(q(r)).\nAnswer: -81*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 0*n. Suppose 8 = b - n. Let o(y) = 2*y - 12. List the prime factors of o(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13492 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:44 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511 = -4*x - 277. Let h = 732 + x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*w - 12 = -0*p, -3*p - 7 = -5*w. What is the units digit of (p - 4)*152\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x**2 + 3*x - 7. Let n(r) = r**2 - r + 1. Let p(f) = -3*n(f) - w(f). Factor p(h).\nAnswer: -4*(2*h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 4*k**3 + 9 + 4 wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000213020 (base 4) to base 12.\nAnswer: 1091a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312173 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 2*o - 2. Let a be m(2). Let p be 1 - (7 + -4 - a). Is p less than or equal to -8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 478*w - 53539. What is u(112)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/944004 and 95\/1730674?\nAnswer: 10384044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -44*h**2 + 37*h. Let s(c) = -40*c**2 + 36*c. Give -6*f(b) + 7*s(b).\nAnswer: -16*b**2 + 30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163505207 to the nearest integer?\nAnswer: 12787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-18 - -14) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 2*g - 2. Let k be b(3). Suppose -1 = -4*z + k. Calculate the remainder when z is divided by (36\/24)\/(-6 + 52\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 858*a**2 - 5*a + 15. Let o(n) = 859*n**2 - 4*n + 12. Let h(y) = 4*d(y) - 5*o(y). Let p(x) = -5*x**2. What is h(p(r))?\nAnswer: -21575*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 6. Let l be h(-1). Let f = 0.24 + -0.17. Let q = 3 - 5. Which is the nearest to 0.1? (a) l (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -63. Let g(m) = m**2 - 3*m + 21. Let p be g(i). Suppose 4*k - p = -13. What is the highest common factor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945212512?\nAnswer: 2, 17, 1737523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25564115?\nAnswer: 5, 41, 124703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -119372 divided by -2?\nAnswer: 59686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -45, -68, -111, -180, -281, -420?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -102, -15, -3, -273, -5 in increasing order.\nAnswer: -273, -102, -15, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**3 + m**2 + m - 1. Let z(w) = 11*w**3 - 8*w**2 - 8*w - 1641. Let q(j) = -8*d(j) - z(j). What is the first derivative of q(o) wrt o?\nAnswer: 87*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/20 + 84\/20. Let a be (-4)\/3*(-12)\/u. Solve -k - a = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**6\/720 + m**5\/120 - 5*m**4\/12 - 5*m. Let j(p) be the third derivative of t(p). Calculate j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2 + 12*p + 20. Let q(z) = 3*z**2 - 4*z - 7. Let g(c) = -11*q(c) - 4*s(c). What are the prime factors of g(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364148242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + 5*g - 1. Let l be n(-5). Let a(i) be the second derivative of i**4\/2 - i**3\/6 - 16*i. Determine a(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 8*c - 4. Let z(w) = -2*w**3 + 7*w**2 + 5*w - 10. Let r(v) = -v**2 + 6*v - 1. Let q be r(1). Let d be z(q). What is p(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:35 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + m - 4*m + 17 = 0, 12 = q - 2*m. Suppose 6*d - q = d. Suppose 0 = -5*f - 3*o, -3*f = -5*f + 4*o + 26. Solve 0 = f*v + d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18 + -2 + -1 - -4. Suppose -30 = -u + s. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b**2 - 74*b + 45. What is d(5)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + -19 - (-9)\/1. Suppose -26 = -o*d - 21. Sort d, 3, 8 in descending order.\nAnswer: 8, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2738 divide 306313344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 5899. Let c = -3159 + g. Suppose -c = -3*a - 319. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 14 + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94353*i*u - 83876*i wrt u?\nAnswer: 94353*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.167?\nAnswer: -0.0501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -10388.8.\nAnswer: -10416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7195095 to 3 decimal places.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, -49\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 5*g + 3*v + 216, -52 = -g + 5*v. Let x = g - 31. Solve h + x = -4*t - 6, -h + 3 = -t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/5412 and 9\/1136.\nAnswer: 1537008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 248856.2 rounded to the nearest 10?\nAnswer: 248860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46589*d**2*z**4 - 157737185*d**2 - 43*z**4 wrt z?\nAnswer: -186356*d**2*z**3 - 172*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (35 + -30) - (-23 + 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 49184*w**2 - 1379504*w + 9662016.\nAnswer: 4*(w - 14)**2*(w + 12324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3847 + -2459. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7631210*z**2 + 35457*z + 51.\nAnswer: 15262420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*g - 2, -7*n + 2*n = 2*g + 6. Let f be g\/3*(-18)\/(-4). Suppose 0*h - 8 = -2*h, -11 = -f*x + h. What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*v, 3*t - 4*v + 1 = -9*v. Let z be -240 + 6\/t - -4. Does 20 divide 13\/52 - z\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*d + 8536 - 4479 = 5457 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 3*i**2 - i + 3 - i**2 + 2*i**2 + 0*i**3 to a + c*i**3 + u*i**2 + t*i and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*w - 12, -4*w + 20 = -3*q - 0. Let r = w - -1. Suppose -r*o + 57 = 5*l, -5*o + 19 = -4*o - 3*l. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + -31. Let g = 68.00000085 + s. Round g to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/21 + l**4\/8 + 7*l**2. Find the second derivative of a(p) wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9688876 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152509*p**3 + 18247*p**3 + 132043*p**3.\nAnswer: 302799*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 24.3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -338*z + 3731. Let j be a(11). Sort j, -3, 127 in decreasing order.\nAnswer: 127, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93000 and 3891120?\nAnswer: 97278000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**3 - m + 1. Let i(v) = -v**3 + 14*v**2 - 32*v - 7. Let k be i(11). Suppose 55 = k*u + 7*u. Let l be -2 + (-1 - -4)\/(5\/u). What is y(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 9\/32, -2\/3, 0, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**6\/2 - 19*t**5\/20 - t**3\/3 + 25*t**2\/2 + 57*t. Find the second derivative of y(c) wrt c.\nAnswer: 180*c**2 - 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -2 - (1 - 0). Suppose -2*w - 5 + 21 = b. Suppose 5*o = o + w. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s - 2*d - 8 = 75*s, 5*d = 5*s - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 15390160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -17, -4, 29, 88, 179, 308, 481?\n\"Answer: l**3 + l**2 - 11*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i - 1. Let l(t) = -t**3 - 4*t**2 - t + 2. Let j(h) = -2*l(h) + 2*y(h). Determine b, given that j(b) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61686263*t**6 + 28*t**2 + 214896*t wrt t?\nAnswer: 7402351560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 2 + (3 - (-7 - 13)) + 22.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2790209*a**4 + 1174412*a**2 wrt a.\nAnswer: 66965016*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:18 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291 - -296. Solve 0 = 3*y + 3*x + s + 13, 4*x + 4 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-36)*-9 + 9\/6. Solve 0*f - 2*f = h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 6, g: 3, n: 3, w: 2}. What is prob of sequence wz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2360300 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 9 - (-36 - -39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 3*v + 7*v + 6*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -122, -377, -746, -1235, -1850, -2597?\nAnswer: -3482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**5 - 57*i**2\/2 + 264*i + 17. Find the first derivative of t(b) wrt b.\nAnswer: -20*b**3 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let i(z) be the first derivative of 2 + 1\/24*z**4 + 1\/2*z**2 + 0*z + 0*z**3. Let b(t) be the second derivative of i(t). What is b(u(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.855 times -2.1?\nAnswer: -127.7955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*4\/240)\/(2\/(-42))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*o = 83, 0*w + w = -4*o - 14. Let p = w - -52. Calculate the lowest common multiple of p and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31323 and 159.\nAnswer: 31323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -66. Let u be (y\/(-24) - (-124)\/(-6))*-3. Suppose 6*q = 2*q + u. Solve 0 = 3*f + 2*v + 10, -4*f = -2*v + 2 + q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 30*z + 170. Let r be x(-7). Let p be r\/70*(-7)\/(-10). Let i = 6\/19 + -17\/114. Sort -11, i, -4, p.\nAnswer: -11, -4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 5509368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/110)\/((-1994)\/(-4985))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 23.5. What is the third biggest value in u, -0.1, 5, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.298 - 0.052. Let n = 3.4 + l. Sort 0, -5, n, 2 in descending order.\nAnswer: 2, n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 84. Let u(o) = o**3 - o**2 - 21*o + 5. Is u(n) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and 24\/8683.\nAnswer: 86830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Let s = j + -5. Let g = -0.2 + -0.3. What is the nearest to s in -2\/3, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - (1 - (4 + -5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*r - 1749*r - 1030*r + 400*r - 1460 wrt r?\nAnswer: -2449","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1603305679 to the nearest integer?\nAnswer: 40041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 347*-4\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 6. What is o(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4219 - -4221. Let f = 0.4 - 0.4. Let u = -1 + 1.2. Which is the nearest to f? (a) 4 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5 - 7 + c**2 + 6*c**3 + 6 - 4*c. Let m(r) = 7*r**3 + r**2 - 5*r + 5. Calculate -5*a(l) + 4*m(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2)\/90*-2. Let a be 0 + -1 + 0\/(-22). Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17634088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*o - 2*o - 50, -o + 5*k - 30 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -34*z - 443. Give y(-10).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664139580?\nAnswer: 2, 3, 5, 13, 65497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 2. Let a be g(2). Let b be (-8)\/(-20) + 640034\/a - -3. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*z - 32 = 2*c, -4*c + 5*z = 41. Let q be (1\/2)\/((-1)\/10). Let x = q - c. Solve 0 = w - 2*a + 6, -2*w + 3*w - 12 = -x*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36 - 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14. Suppose 4*y + 212 + 81 = x, -3*x = y + 57. Which is the nearest to y? (a) 0.4 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 23724.3\nAnswer: -237.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 6*m**2 + 5. Let k(w) be the first derivative of w**4\/4 + w**3\/3 - w - 3. Determine -h(u) - 4*k(u).\nAnswer: -2*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12374, -10390, -7092, -2486, 3422?\nAnswer: 10626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 344155758 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153990018 by -62674.\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 174*d + 2280.\nAnswer: 3*(d + 20)*(d + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.45263 rounded to 2 dps?\nAnswer: 4.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8)*-443)\/(37\/(-148)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**4 - 105*r**3 + 192*r**2 + 120*r. Let j(w) = 18*w**4 + 314*w**3 - 577*w**2 - 360*w. Let t(o) = 19*f(o) + 6*j(o). Suppose t(v) = 0. Calculate v.\nAnswer: -20, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1893407, -1893397, -1893387, -1893377, -1893367?\n\"Answer: 10*v - 1893417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -306*o**3 + 29*o**2 + 22. Let l(d) = -2*d**3 + 2*d**2 - 2. Let t(n) = 44*l(n) + 4*w(n). What is the third derivative of t(p) wrt p?\nAnswer: -7872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 6*b - 11. What is the tens digit of f(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = f + 3, 5*f + o + 17 + 2 = 0. Suppose -2*t - 106 + 30 = 0. Let g = -35 - t. Put -1, f, g in decreasing order.\nAnswer: g, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/3*-3*4\/8. Let j(q) = -q - 1. Let o(w) = -9*w - 8. Give a*j(x) - o(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29098174 divided by -632569.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/12 - (-1)\/(-6). Let l = t - 2. List the prime factors of (l\/9)\/((-3)\/27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.48, -2\/13, -19\/182, 2\/11?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12011268\/(-811060) + (-2)\/(-214).\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*z - 154 = 0, 200 = -2*z + 212. Solve -a*b + 28*b + 120 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a - 8. Let x(j) = 4*j - 1. Let m be x(2). What is the remainder when 8 is divided by p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756015, -1512012, -2268011, -3024012?\nAnswer: -3780015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 16*w + 8. Let k be l(-5). Solve -k*o - 2*t - 15 = 3, o - 3*t = 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108979518 to the nearest integer?\nAnswer: 10439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + -2 - (-45 + 40)) + (0 - -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 10. Suppose 29 = 4*y - d. Solve -y = h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 19*m + 198. Solve j - 1\/2 - 1\/2*j**m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10296 and 162396?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.4 * 1062.91.\nAnswer: 14242.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 630 + -630.281. What is a rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/(-9)*(-7)\/(-4). Let s = j + 23. Let i(z) = z**3 - z**2 - 2*z + 3. Calculate i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*j - 40*j + 10*j)*(1 - 3 + 1 + (1 + 2 - 2)*(0 - 2 + 1) - 2 + 0 + 0 + 0 - 6 + 4 + 0 - 3 + 1)*(6*j - 2*j + 27*j).\nAnswer: 2480*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**0*a)\/(a**(2\/25)*a\/(a\/(a\/(a**0\/a))))*(a**7\/a*a*a)\/(a\/a**(2\/9))*a**(1\/3)\/a*a\/(a*a**(-2\/17)) assuming a is positive.\nAnswer: a**(6094\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 449227, 449285, 449367, 449479, 449627, 449817, 450055, 450347?\n\"Answer: t**3 + 6*t**2 + 33*t + 449187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0560022*5\nAnswer: 0.280011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 26. Let n(v) = -1180*v. Give s(n(z)).\nAnswer: 2360*z + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - 1201?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 divided by 15?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.40115415 - -2.4011. Round c to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0087189 rounded to 4 dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2522 and -40\/261027.\nAnswer: 522054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)*m**16 assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 2\/17, -0.03, -1, 77, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14.02, -0.4, 0.1?\nAnswer: -14.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 446096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6631 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 21*z**2 - 56*z - 36.\nAnswer: -(z + 1)*(z + 2)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 2*a**3 + 2*a**3)*((-3*a + 0*a + a)*(3*a + 2*a - 2*a) + a - a + a**2) + (-2*a + 6*a - 3*a)*(a**4 + 13*a**4 - 5*a**4).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:12 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 76?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/44929 or 1?\nAnswer: 6\/44929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 217*f**2 - 1477*f - 1468. Give r(-210).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 194. What is h(19)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 72. Let p = f + -18. Which is greater: p or -4\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719917 divided by -6?\nAnswer: -1719917\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 498 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11822*h**2 - 709308*h + 720.\nAnswer: -2*(h + 60)*(5911*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*(-42)\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517786 is divided by 2051?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 3, u: 12}. Give prob of sequence uh.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*k**2 - 5*k*r**2 + 770*r**2 wrt k?\nAnswer: -26*k - 5*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388697 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d - 3 = 83*d. Suppose -4 - 2 = 2*q. Put q, d, 0 in ascending order.\nAnswer: q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 21 = -59. Suppose -j*o + 67 = -165. Suppose o = 2*u - 3. Solve 0 = q - 5*q + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 34. Let c be i(-15). Suppose c*r - 41 = -29. Suppose -2 = r*z - 11. Solve -5*n = z*s + 44 - 13, n = 2*s - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, 2\/3, 9, 1 in descending order.\nAnswer: 9, 2, 1, 2\/3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 115500?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 27 - 30 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 701*-76159\nAnswer: -53387459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**6 + 10*y**4 + 115*y**2 wrt y.\nAnswer: -840*y**3 + 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097046647.\nAnswer: 3, 12277, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(3888))*-5 - ((1 + sqrt(6)\/sqrt(2))*2 + sqrt(432) + 2 + 1 + sqrt(432)))**2.\nAnswer: 11580*sqrt(3) + 447213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k - 3. Let t be c(-4). Suppose f + 2*q - 1 = 0, t = 5*f - 2*q - q. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i - 4 + 7 + 7 - 3*i**2 + 2*i**2. Suppose 0*c - 20 = -2*c. What is the remainder when k(c) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6054\/(-12) - 4)*(-11 + 3). Suppose -26*m + t = -22*m. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1915 + 7511. Suppose -v + h = 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.073899 * -0.1.\nAnswer: 1.7073899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4362*a**2*x**2 - 317337*a**2*x + 350*a*x**2 - 23*a*x wrt x.\nAnswer: 8724*a**2 + 700*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34119*j**3 - 6378*j**2 wrt j?\nAnswer: -204714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13763 and 32.\nAnswer: 440416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432 + 82. Let u = r - -352. What is the remainder when 32 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 39*b - 71*b + 2*b**2 + 32*b. Let h(j) = -3*j + 4. What is a(h(r))?\nAnswer: 18*r**2 - 48*r + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhjqi. What is prob of picking 1 i and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400 - -405. Solve 27 = 4*a - 2*a + i*q, 0 = 2*a - 3*q + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -467264489 and -1.2574.\nAnswer: -467264490.2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754935 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726c (base 15) in base 5?\nAnswer: 4343202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from cccgccgcc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-172 + 10) + (-1)\/12. Which is the closest to u? (a) 5 (b) -160 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) 26 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -22415*r + 10826445. Determine x(483).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d + 0*d**5 + 1\/6*d**6 + 0*d**4 + 0*d**2 + 5\/3*d**3 - 5. What is the third derivative of w(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 2*s**2 - 1 - 8 in the form z + t*s**2 + c*s and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 + 10321*k**4 - 10322*k**4 - 2*k + 3 + 8*k**2 - 2*k**3 in the form a + r*k**2 + o*k + v*k**3 + m*k**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49535.48ml?\nAnswer: 49.53548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 114 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1357, -2723, -4107, -5515, -6953, -8427, -9943?\nAnswer: -11507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 1\/8*s**4 + 1\/8*s**3 + 0 + 0*s + 0*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vri when three letters picked without replacement from vihiihhhvr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -3 + 3 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 287*t**2 - 16 + 23.\nAnswer: -287*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 782 divide 509186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 11 = 31. Is 1*(-6 + 11907)*d\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0)*(-4561520*u**3 + 7747*u**4 + 4561520*u**3) - 3*u**2 - 2*u**4 + 3*u**2 to k*u + l*u**2 + w + y*u**4 + j*u**3 and give y.\nAnswer: -23243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5536786 is divided by 1597.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 311, 1409, 3245, 5825, 9155, 13241, 18089, 23705?\n\"Answer: r**3 + 363*r**2 + 2*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 1:47 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times 59\nAnswer: 14.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**6\/6 + 2*t**5 - 9*t**4\/4 - 1384. Determine m, given that v(m) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13287.3 decades?\nAnswer: 132873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i*j**2 + 5598*i*j - 19316860*j**2 + 4651*j wrt j.\nAnswer: 6*i - 38633720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5360 and 1023760?\nAnswer: 1023760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27216954, 27216947, 27216938, 27216927, 27216914?\n\"Answer: -a**2 - 4*a + 27216959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:36 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646877.\nAnswer: 7, 11, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -0.1, -40\/9, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -855 + 925.2. Let s = b + -70. What is the second biggest value in 5, s, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m - 2*m)*(-m**3 + 3*m**3 - 3*m**3) + 2*m**4 + m**4 - 4*m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 2472954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115186370 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(32)\/sqrt(4)) + -5)*-1 + 4)**2 + -5.\nAnswer: -18*sqrt(11) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 23*w**2 - 3 - 11*w**2 + 4*w + 18*w**2 - 14*w. Let a be l(-3). Calculate the greatest common factor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14511, -27750, -40989?\nAnswer: -54228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*s - s. Let h be 4\/(-10) + 46\/(-10). Let v = h + s. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 2*d**2 - 11 - 11*d + 2*d. Let z be k(10). Let g = -2 - -1. Is z < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1004589 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90181891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 0.03, 21674 in descending order.\nAnswer: 21674, 248, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.501356ng?\nAnswer: 0.000000005501356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31885, -10022, 11841?\n\"Answer: 21863*i - 53748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 460\/11. What is the closest to -1\/7 in -1, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 47 - 73 + 26 + 519*k - 258*k - 261*k.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 354475546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmpm when four letters picked without replacement from {m: 14, p: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + g - 14. Let v be w(0). Let q = 154 + -108. Let m = q - v. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28272858 is divided by 4038979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j**2 + 6*j**2 - 11*j**3)*(j - j - j + (-3 + 1 + 1)*(-4*j + 3*j + 3*j)) to the form p + c*j**3 + y*j**4 + f*j + s*j**2 and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 2081 - 1111. Let b = u + 480. Calculate the smallest common multiple of ((55 - 1)\/2)\/1 and b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -133. List the prime factors of (0 + 3 - 51)*q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 < -16183081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 892338, 892357, 892376, 892395, 892414?\n\"Answer: 19*u + 892319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 666.1 + -666. Which is the closest to 8? (a) 1\/2 (b) u (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 2 - 2)*(-3*x - x + 0*x) to m + y*x and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d = -9*d - 1320. Solve -4*y - d = 3*c, 4*c + 2*y = -16 + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -4*a. Let f = -16 + 9. Let z be 8\/(-28) + (-2)\/f. Solve -a*b + 20 + z = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-56)*(-8)\/6*2.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -443643 - 464?\nAnswer: -444440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10163 = 8*k - 1459. Let s = 10375 + k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 366 + -238. List the prime factors of -4*(-8)\/q + (-6134)\/(-8).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9126*o + 1\/2*o**3 - 117*o**2 - 237276 = 0. Calculate o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*v + 23 - 23)*(v**2 + 5*v - 5*v) in the form a + f*v**2 + z*v + j*v**3 and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-69))\/(1180\/(-27140)) + -1 + -2 + -102.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.9683 rounded to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 373512 and 4.\nAnswer: 373512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 61. Suppose -3*b - 42 = 4*t + 25, b - 3 = 0. Let i = -8 - t. What is the remainder when i is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, -8, 4, -14, 1961 in ascending order.\nAnswer: -14, -8, -4, -2, 3, 4, 1961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 12926341.\nAnswer: -2585268.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z. Calculate u(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-4)\/3)\/2)\/((-3)\/27). Suppose j*g - 5*g = 6. Differentiate -g + 76*w + 0*w**3 - 76*w - 7*w**3 wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1093*n**2 + 2521*n**2 - 195*n**2)*(-10 + 19 + 20 + 13 - 10).\nAnswer: 39456*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 + 114*k**2 + 507*k + 396 = 0.\nAnswer: -33, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k - 2. Let q be t(5). Let w = q + -38. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 58*z + 42. Let i(w) = -w**2 - 31*w - 115. Let y be i(-5). What is x(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 99*x + 650. Determine q(-12).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -5 - 5) + (0 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316106469 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-70)*10\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3766\/8 + 4\/16. Let r = d - 35. What is the derivative of -436*y - 3*y**3 + r*y + 6 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16774861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4 (c) -212 (d) 2 (e) -0.04 (f) 0 (g) -129\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:09 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*m + 11088 = 267*m - 79*m + 476*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = 3*o - 2*n + 3, 0 = -3*n - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 502702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*h + 13. Let m(u) = u**2 + 10*u + 11. Determine m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/12 - -6 - (0 - -4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, -1, 6.5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 2. Let l be m(2). Suppose 0 = -l*f - 3*b + 4, 0*b + 5*b + 20 = 0. Let d = 57\/2 - 28. Sort d, 0.4, f.\nAnswer: 0.4, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t - t)*(4*t + 5*t**2 + 3*t**2 + 3*t**2)*(0*t**2 + 3*t**2 - t**2).\nAnswer: -66*t**5 - 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/2 - ((-2414)\/355 + (-308)\/(-35)).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -546 - -4912\/9. Which is the third smallest value? (a) 3 (b) g (c) 3\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 1. Suppose 5*u = -9 + 39. Is x(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1634*v**4 + 2*v**3 - 4*v**2 + v - 685.\nAnswer: 39216*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-50)*42\/(-90)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38*(-4)\/32*(-132)\/11. Suppose -m*q + 107514 = 9*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 21 = 2*t, 0*r - 23 = 3*r - 4*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 37 = 19. Which is bigger: -3\/8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -103*b**4\/12 + b**3\/3 + 31*b**2\/2 + 125*b. What is the second derivative of m(r) wrt r?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 407*n = -401*n + 2, 5*n = y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*b**3 + 5*b**3 - 8*b**3)*(4*b + 4 - 4).\nAnswer: -380*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*o**3 + 1 + o**4 - 74*o**3 - 5*o**2 + o**4 + 2*o**2 to g*o**2 + u + i*o + x*o**4 + n*o**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 319\/2, -2\/11, 3, 99 in decreasing order.\nAnswer: 319\/2, 99, 3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31488319 and 233.\nAnswer: 31488319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/22 + 4*g**3\/11 - 12*g**2\/11 + 16*g\/11 - 4. Find z, given that d(z) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67100000 to the nearest 1000000.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 4*b - 3. What is the units digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgpggccgggggpgggclg. What is prob of picking 2 c and 1 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 25 + 20. Solve -7*w - c = -2*w - m, -m - 25 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 + 5*t - 3. Let x be r(7). Let s = x - -17. What is the closest to 2 in 3, -1\/4, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - l - 7*l**2 + 3*l**2 + 6*l**4 - 1 + 3*l**2 - l**3 in the form z + v*l**3 + r*l + b*l**2 + i*l**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 - 26 = -t, 113 = 3*t - 4*f. Suppose -24*x + t*x = 0. Solve 0 = -3*y + 3*j - j - 23, x = -y + 3*j - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1010 + 1039. Solve -28*l = -a*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29416.46um?\nAnswer: 2.941646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (8 + 12 + -28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 + 21*j\/5 - 108.\nAnswer: (j - 15)*(j + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 2, r: 4, u: 3}. What is prob of sequence kk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 7*x**4\/12 + 2*x**3\/3 + 3*x**2\/2 + 37*x - 31. Let v(p) be the first derivative of f(p). What is the tens digit of v(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266244 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 - -38.72. Let n = -39.8 + p. Is 0.3 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*d + 342 = 0, 347 = -0*c + 2*c - 3*d. Suppose -g = g - c. Suppose 5*p - s = 99, 5*p + 3*s - g = p. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 715 + -716. Let d(a) = 37*a + 11. Let c(i) = 39*i + 13. Let w(l) = -5*c(l) + 6*d(l). Give w(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1197\/2128)\/((-6)\/(-64)) + 56\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 16*n + 1582 = -76*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/246344 and -107\/2968.\nAnswer: 246344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -816, -404, 8, 420, 832, 1244?\n\"Answer: 412*q - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 3*r + 60 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62600662*t*z**3 + 60*t*z**2 + 17*t*z + 82*z**2 - 8*z wrt z.\nAnswer: 375603972*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Let u = j + 2. Solve z = 3*z - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 101 + 843. Suppose -4*x - 389 = -0*x + 3*c, -2*c = -2. Let y = j - x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1387 - 1384. Determine b, given that 1\/5*b**d + 2\/5*b**5 - 3\/5*b**4 + 0*b**2 + 0 + 0*b = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 2\/5 (c) 0.2 (d) -75 (e) -1\/2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 - (2 - (2 - 3)). Let j(t) = 0 - 10*t**2 + 3*t + y + 1 - 21*t**2. Let n be j(-8). Round n to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*109*(-16)\/4*(-72)\/32. What is the greatest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 5*d - 160, -890*d + 900*d = v + 355 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 8539 = 8429. Solve 5*v + 2*r = -10 - 21, m*v = -4*r - 27 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (10 - -5) + 4\/(-4). Let g = -4 + 11. What is the highest common factor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.4. Suppose 11*j - 75 = -53. Suppose g = -2*i + 2, 4 = -3*i + g + 2. Which is the biggest value? (a) v (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/780 - (12\/54)\/(2\/15).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 25 = b. Suppose -15 + 4 = -q + f, -q + 6 = 4*f. Suppose q*m - b*m - 1655 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*(-44 - 273\/21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppll when four letters picked without replacement from {p: 4, l: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(275))**2 + 0 + -1.\nAnswer: 10*sqrt(11) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.024751 - -0.0257. What is s rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 1:57 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 <= -33386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let f = -123 + 863\/7. Suppose 13 = 2*b - 2*r - 5, 0 = -5*b - 4*r. What is the third smallest value in m, b, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-117)\/(-18))\/((-42)\/532).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414043175.\nAnswer: 5, 7, 13, 181997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -658351*i**3 - 20*i - 593 wrt i.\nAnswer: -3950106*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.65, -4, 5\/6, 128?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8489750966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(396) + 0)*5.\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/55143662 and 48\/1451149?\nAnswer: 55143662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - 3240.\nAnswer: -3277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-75)*70\/(-28)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 495326 - -3?\nAnswer: 495329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 4. Let v(s) be the first derivative of s**4\/8 + 5*s**3\/6 - s**2 - 4. Let a(d) be the second derivative of v(d). Determine 3*a(k) + 4*f(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 168226 (b) 4 (c) -18 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8755, -17512, -26269?\nAnswer: -35026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1.2, -134044, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(-133)\/323 + (1 - (0 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5200 = -149582*l + 149712*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = w + 4*m, 5*m - 6 = 2*w. Let x(n) = w*n - 3 + 1 + 0*n - 1590*n**2 + 2*n. Let i be x(3). Round i to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*l**5 - 4*l - 43*l**5 - 3*l wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*m = 150*m + 866800. Round m to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((-1*sqrt(612))**2 - sqrt(17)))*-2.\nAnswer: -4*sqrt(17) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22902472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -v + 1 + 27, 3*z = 3*v - 24. Suppose -d + 16 = 4*s, -v*d = -4*s - 3 + 19. Which is the closest to 16? (a) -1\/7 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 - (6\/12)\/(2\/(-8)). Suppose y = -h - 5*q + q, -5*h + 10 = -2*q. Suppose h = -g - g + 126. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/12 - h**3\/2 - 18*h**2. What is f(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*q + 50 = -b, 2*b + 55 = 3*q. Let c = b + 32. Suppose 2*f - 2 + 4 = 0. Put 0, f, c in descending order.\nAnswer: 0, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623128 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/26298 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -174961.784 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4*4\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*r - 73 = 0, 2*r + 2*r - 52 = -4*i. Let k = -10 - -14. Suppose -k*z + 12 = 4. Solve i = -5*w - 2*y, -z*y = -w + y - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 9. Let j be r(-3). Suppose 3*h = h, 2*g + 3*h - 27000000 = j. What is g rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.6310894 to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) - (-754)\/6. Let w = 111 + z. Suppose u - 5*a + 11 - 46 = 0, 4*u - w = -4*a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143) + sqrt(143))*6)\/(sqrt(1584) + (sqrt(1584)*3 - sqrt(1584))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9460209*k**3*m**4 + 63093*k**3*m - 98*k**3 wrt m.\nAnswer: 113522508*k**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336377 = -32*y + 24807. List the prime factors of y.\nAnswer: 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*n**3 + 372*n**3 - 99*n**3 - 75*n**3 - 105*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1}. What is prob of sequence jo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -7\/5, 4, -33?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 5, -2\/11, -7, -1375?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - 369\/82.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + c - 6 = 0, -4*a + 27*c + 12 = 28*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.75 + -0.25. Is u != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(21*(-12)\/(-84)))\/93\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472 - 471. Solve 7*b = j - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/132)\/((1\/(-7))\/(72\/42))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5183 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244044787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.00156 - -23. What is l rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 26 = -z. Let q(s) = -s**3 - 5*s**2 - 4*s + 5. Let i be q(z). Suppose 7*k - i = 6*k. Calculate the greatest common factor of 125 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18933127 a multiple of 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (30 + -3)\/3. Suppose -3*i - 990 = 2*o, n*i + 1484 = -3*o + 2*i. Let u = -321 - o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825452 is divided by 121?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 2. Determine i(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 230, -0.02, 5\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 3\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 42452*a + 254627. What is s(-6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -13, 132, -6.27?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + 28*s - 8. Let f be z(-5). Suppose 35*l - 37*l = 3*h - 12, 2*h + f*l = 10. Solve -3*w + 7 = -4*j, -h*j + 1 = -3*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374456?\nAnswer: 2, 46807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerrere. What is prob of sequence rrrr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215243?\nAnswer: 7, 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*a - 69432 + 69200 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 187 - 202 = 0. Suppose 3*m = -3*y + 234, y + n*m + 9 = 91. What is the lowest common multiple of 1 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5268511488 to the nearest integer?\nAnswer: 72585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 11156?\nAnswer: -11157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1038522, 2077039, 3115552, 4154061?\n\"Answer: -2*o**2 + 1038523*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) - 2\/10. Let f = 18.68 - 18.72. What is the third smallest value in f, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506 - 7*p**3 - 4*p**2 - 1503 - 7*p**3.\nAnswer: -14*p**3 - 4*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213258558 to the nearest integer?\nAnswer: 14603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 171128939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 12, 34, 106.\nAnswer: -5, 5, 12, 34, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30.4 and 72.813816.\nAnswer: 42.413816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12dd94 (base 15) in base 10?\nAnswer: -907564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 29 - 16 + 10)*(-2*x**2 + 0 + 0).\nAnswer: 126*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1372*l. Let c(a) = 165*a**2. Determine z(c(k)).\nAnswer: -226380*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2765.551ml?\nAnswer: 2.765551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/30 - 3\/(-15). Let l be (-2)\/(-8) + 165\/(-564). Let v = -35\/282 + l. Which is the third smallest value? (a) v (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358556?\nAnswer: 2, 41, 20479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = -22272. Let u = 846273\/38 + k. Calculate the common denominator of -81\/22 and u.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11 or 141\/42250?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146.3 rounded to the nearest ten?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/5 - w**2 - 5*w. What is the derivative of h(s) wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 17}. Give prob of picking 3 c.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:10 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(9 + 18 - 25)*(-5 - 25 - 8)*(-4*x + 2 - 2)*(-2 - 3 + 7)*(-6 + 6 + x).\nAnswer: -608*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2199, -2207, -2217, -2229, -2243, -2259, -2277?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.9. Let a be (-16)\/(-14)*(-42)\/(-12). Let v be (-12)\/10*(-10)\/a. What is the second smallest value in v, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 3073120 + 2808495 = 4850310. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -8*m + 92 + 180. Solve -m*n + 128 = -40 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 > 4176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/(-48)*3 + (-6)\/(-24). Suppose 0 = -2*u + c + 4. Solve i + 6 + 14 = u*m, -4*i + m = 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6758, 6741, 6710, 6659, 6582, 6473, 6326?\n\"Answer: -m**3 - m**2 - 7*m + 6767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -928 - -1460. Suppose -63*f + 5012 = -i. Suppose -4*b + 16 = -4*y, -5*b + 4 = -4*y - 20. What is the highest common divisor of f and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Suppose 6*j = j - 20. Suppose 5*d = 12*d + 42. Let o(l) = l - 6. Let u(v) = -2*v + 13. Let g(t) = -13*o(t) - 6*u(t). What is d*b(s) + j*g(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13675931 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -6*p**5\/5 + 7*p**4\/5 + 14*p**3 - 36*p**2 + 136*p\/5 - 32\/5 = 0.\nAnswer: -4, 1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81381*k**4 + k**3*y**3 - k*y**3 + 110*k + 54*y**3 - 1 wrt k?\nAnswer: -976572*k**2 + 6*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eema when four letters picked without replacement from {e: 2, w: 2, a: 3, k: 4, m: 2}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -40. Sort 0, -1, b in decreasing order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(1\/3)\/r)\/r*r*r**(-8))**35 assuming r is positive.\nAnswer: r**(-805\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:23 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018459 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v - 3. Suppose 3*m = 6*m - 9. Let b be h(m). What is the second derivative of 0*j - 5*j**4 + 3*j**4 - b*j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/3 + 3594086*h - 10782256\/3 = 0. What is h?\nAnswer: 1, 5391128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.116.\nAnswer: 0.00232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2152799 is divided by 518?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*k - 5 = -14, -6 = -2*k. What is the third biggest value in 2, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 22855, -1\/6, -12\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 5*z**3 - 4*z - 11 - 2*z**2 - 4*z. Let x(q) = -2*q**3 - q**2 - 4*q - 4. Let s(i) = -4*b(i) + 11*x(i). Find the third derivative of s(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + 1 + (sqrt(76) - 4*-1*sqrt(76)) + sqrt(76)*-2 + -5 + sqrt(76) + 5 + (sqrt(76) - (sqrt(76) + sqrt(76)*3))))**2.\nAnswer: -48*sqrt(19) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 12. Suppose -5*y - 3*a = -7*a - 21, -7 = -f*y + 3*a. Solve -y*s + 8 = -s, 5*j - s - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145\/798 - 2\/133. Let s(m) be the third derivative of -n*m**4 + 0*m + 0 + 0*m**3 - m**2 + 1\/30*m**5. Suppose s(x) = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**3 - b + 1. Let z be k(1). Suppose 12 + 11 = u. Let t = u + z. Calculate the highest common divisor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**4 + 13719815*j**3 + 98572708*j wrt j?\nAnswer: 96*j**2 + 82318890*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 e when four letters picked without replacement from {q: 2, e: 2, w: 1, m: 7, p: 6}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 11*j - 17*j. List the prime factors of 193\/9 - (-12)\/j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 5\/84*j**4 + 0*j + 2*j**2 + 2\/7*j**3 + 1\/210*j**5 + 0. Suppose m(b) = 0. Calculate b.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcmwmmsm. Give prob of picking 1 s, 1 c, and 1 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/(-4)*8\/(-3). Suppose 0 = j - z - 5. Let s = 52 - j. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l**3 + 6*l**2 + 12*l + 82. Let c be m(-5). Suppose -6 = -3*v, 2*v + 544 = -3*x + c. List the prime factors of x.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 - 16) + 31 - (-1 + -31)) + -10?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*x = 167*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4922\/(-10350) - (-2)\/(-25)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 685*v**2 + 1576190*v + 11505.\nAnswer: 5*(v + 2301)*(137*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3*k*o**3 - 2*j**3 + 400*j**2*k*o**3 + 6*o**3 - o**2 wrt k.\nAnswer: j**3*o**3 + 400*j**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43613121*i - 107687835 with respect to i.\nAnswer: -43613121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4074 is divided by 255.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-25)\/10 + 1 + 1). Let f be h\/((-10)\/88327) + (-4)\/(-6). Let k = 8837 - f. Find the common denominator of 25\/18 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(7\/(-6) - -1). Let b(f) = -f**3 + 6*f**2 + 3*f - 8. List the prime factors of b(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59763707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 6097.5\nAnswer: 3048.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 71. Let l be (t\/4)\/(3\/(-4)). Suppose a - l = -10. Round a to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 5. Let c = -13 + 5. Let p be (-2)\/4 + (-10)\/4. Let r(u) = -u + 2. Give c*r(t) + p*q(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 - 2644130*s**3 - 349565884545*s**2 + 1398295267900*s - 1398305844500 = 0. What is s?\nAnswer: -264415, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/6 - 5843*w. Let b(x) = -8 + 15 - 7 - 227*x**2. Determine f(b(s)).\nAnswer: -103058*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 2. Let i be a(-3). Let f be 5 + -1*(0 + 1). Suppose 4*z = -f*v, 3*v = -2*z + 3 + i. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308040?\nAnswer: 2, 3, 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**2 + 900*k + 1784 = 0.\nAnswer: -223, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose -5*g + v*g = 0. Solve -4*o - 4 + g = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 124 = -m, -5*m + 4*y + 404 = -2*m. What is the highest common factor of 380 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.88 and 141718.\nAnswer: 1258455.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and 47\/12970.\nAnswer: 12970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12134677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -3*p - 3*v, 0*p = 4*p + v + 121. Let g = -15 - p. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2595550 and 6900.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 801, -4, 5, -1.\nAnswer: -4, -1, 5, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -76. Let q = 11 - l. What is the second smallest value in -13\/3, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-3)\/(-3) - -3. Let j = 2 + 1. What is the second derivative of y**j - s*y + y + 0*y wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 111 + 143. Solve 3167 - 3167 - 8*i**2 - 4*i**5 - b*i**4 - 20*i**3 = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -9\/2*g**2 - g**3 + 0*g - 182. Find p, given that k(p) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31472302.18 to the nearest ten thousand.\nAnswer: 31470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) 1\/16 (c) -4\/5 (d) 460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let q(t) = -16*t - 12*t + 49*t - 16*t. Give 6*d(p) - q(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 13 = -4*b, b + 7 - 26 = -4*j. Suppose -15 = 2*m - b*m. Suppose -4*c + m*c = 2*f - 315, -3*f = -c + 325. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + (-3 - -3) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106e - -1cf2a?\nAnswer: 1df98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.082 - -0.182. Let v(s) = -2*s**2 + 19*s - 27. Let m be v(11). Let p be ((-129)\/(-60) - 2)*50\/m. Which is the closest to -1? (a) 2\/3 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - d + d + (-2*d**4 + 3 - 3)*(-4*d + 3*d + 3*d) + (0 + 0 - 2*d**3)*(-4*d + 4*d - 11*d**2).\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -5 (c) 1380.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 23. Solve -u = -5*h + 11, -x*h + 1 = 5*u - 0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144462*i**5 + 7*i**4 - i**2 + 14656555*i.\nAnswer: 2889240*i**3 + 84*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -174, -176, -178, -180, -182?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 19732*p**2 - 199*p - 198. List the prime factors of d(-1).\nAnswer: 7, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/9, 0, -0.01?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -46 - 43 + 160 - 56 - 3*c. Give l(17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31610 + 43178 + 56445 = -2061*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/264*((-9)\/(-18))\/((-4)\/32)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 3*g = -1671 + 2377, -231 = -2*r + 5*g for r.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1421344433 - 4?\nAnswer: 1421344425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(432) + -2*sqrt(432)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 6*u + 3. Let y be c(-6). Let r be 0\/(-7)*(-10 + 22)\/24. Solve -o + r = -y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -1\/2 (c) -88 (d) -1 (e) 3 (f) 2\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 21. Solve 4*p = -d*s, 4*p - s - 3 = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = i - 93, 5*f - 375 = -4*i. Let w = i - -55. Suppose 2*y + 0*y + 10 = 3*d, 5*d - 3*y = 18. What is the highest common divisor of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472518819.\nAnswer: 3, 241, 72617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-15 + -5)\/5. Let t(n) = n**2 - 1. Let m(i) = 1. Give d*m(o) + 2*t(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = -z, z = -3*h + 3*z + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -6*b - 8*b. Let h = 62 - b. What is the greatest common divisor of 78 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:33 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 11. Let j be o(10). Let w = 43 - j. Calculate the remainder when (-13)\/((-52)\/464) - 7 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*1\/(-2). Let g be (z - 1)\/(6\/(-6)). Suppose 6 = 3*v - g. Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**5 + 2*f**4 - 2*f**3 + 2*f**2 - f. Let l(c) = c**5 + c**4 - c**3 + c**2. Let i(n) = j(n) - 2*l(n). What is the second derivative of i(a) wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 14. Let g be y(-10). Suppose -2*p + 5*p - g = 0. Let n(w) = 9 - 27*w**2 + 48*w**2 + 8*w - 20*w**2 - p. Calculate n(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024001 to the power of 1\/2, to the nearest integer?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 11*x**2 - 20*x + 227. Let k be w(11). Solve z = 4*l + 17, 12*l + z = 8*l - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/1596)\/((-8)\/280*-10)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 23. Calculate the remainder when 31 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*u**3*x + 32118*i**3*u*x**3 - 52786*i**3 - 6*i**2*u**3*x**3 - i**2*u*x**2 + i*u + x**2 wrt x?\nAnswer: 192708*i**3*u - 36*i**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 51, 0, -3\/2, 2\/13 in descending order.\nAnswer: 51, 3\/8, 2\/13, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 0.27725 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12034*0.0653.\nAnswer: -785.8202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 505313087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3128.4 + 3110.4. Let x = 3 + 1. Let m = x + 1. Sort -0.5, h, m in ascending order.\nAnswer: h, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10152278?\nAnswer: 2, 5076139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:09 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1075 = 2*j, 0 = j + 43*w - 40*w - 545. What are the prime factors of j?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.39 + 3.39. Which is the second smallest value? (a) -1\/4 (b) 1\/12 (c) t (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324603?\nAnswer: 3, 36067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 14 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11572618 + 0.858?\nAnswer: -11572617.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51385192 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:14 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 454485931689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.1 (b) 14 (c) -13 (d) 0 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 198636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)*t)\/(t\/t**(-1)))\/(t**2\/(t\/t**(-1\/8))) assuming t is positive.\nAnswer: t**(-59\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 + 21*q**6 - 12*q**2 - 5*q**2 - 3*q**2 wrt q?\nAnswer: 2040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2525*w**3 - 1094*w**3 + w + 212*w**2 - 1431*w**3 - 2396*w**4 + 2*w**6 wrt w?\nAnswer: 240*w**3 - 57504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1095616 and 19186?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:14 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 6*p - 4. What is the units digit of f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 483 = 4*r. Suppose 0*x + 4*p + r = 5*x, -x - 4*p = -13. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4038 = 9*n - 10329. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -93806.\nAnswer: -1\/46903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 205 = -5*f + 8*l, 3*f + 2*l + 119 = 0. Let z = -68 + 156. Let g = f + z. What is the greatest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 2, o: 2, p: 1, a: 1}. Give prob of sequence yo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 7647*d - 30571. Calculate o(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) 29 (c) 4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8553360 by -471.\nAnswer: -18160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139*a - 1255*a**3 + 1250*a**3 + 709*a + 2200 - 15*a**2.\nAnswer: -5*(a - 11)*(a + 4)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32193637 is divided by 136?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53100, 53683, 54266, 54849, 55432, 56015?\nAnswer: 56598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*p**2 - 4*p**5 - 33*p**2 + (0*p**3 + 0*p**3 - p**4)*(p - p + 2*p).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + v + 4. Let i be n(0). Suppose 0 = 5*q - 9*q. Suppose -3*o + 2*z + z = -165, -o + i*z + 58 = q. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j**2 - 2*j - 29*j**3 + 18*j**2 - 595 + 32*j**3 + 28*j**2.\nAnswer: 3*j**3 - 2*j - 595","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, 0.4, 1253, -12, -0.25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 14 = -4*a, -3*s = -a + 9. Let i = a - -7. Let g be (-6)\/12 + 1\/(-2). Sort 5, g, i in ascending order.\nAnswer: g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -95*z - 88. Calculate h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031635 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 12*l**2 - 12*l**2 + 5*l**2 + 11*l**2 - 5 - 14*l. Let v(a) = -5*a - 2 - a**2 + 2*a**2 - 3*a**2. What is 3*n(i) - 8*v(i)?\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - -4. Let b = -0.53 - d. Let t = -116 + 115. Put b, t, -5 in decreasing order.\nAnswer: b, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 51. Let z = -0.3 - -15.3. Let i = z - v. Which is the second biggest value? (a) -6\/11 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.025 + -0.525. Let q = -2 + -2. What is the second biggest value in q, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 10. Let d be x(8). Let m = 1.9 + -4.9. Let v = -8 - m. What is the third smallest value in v, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 564*v + 4. Let z(t) = -12971*t - 91. What is 91*u(s) + 4*z(s)?\nAnswer: -560*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -1. Let w(y) = -5*y + 1. Let h be w(0). Let k = 2 - 2. What is the third biggest value in l, k, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from fkffikbkkf?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -400.08 and -0.5.\nAnswer: -400.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -86. Let l(q) = 4 + 0 - 8*q + 4. Let v(h) = -23*h + 23. Calculate z*l(o) - 6*v(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let r(j) = 3*j + 1. Let d(x) = 2*r(x) + 5*w(x). Let h be d(7). Suppose 3*g = h*g - 14. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8535)\/(-10) + 5)*2146\/18241.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = 3*j, 5*o - 4*j + 10 = -9*j. Suppose 8*p = o*p + 100. What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61581327 and 4371.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 20, -7, 2, 0 in increasing order.\nAnswer: -7, -6, -1, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let u be s(3). Let n be ((-15)\/(-2))\/(u\/8). Calculate the greatest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1806)\/5)\/(-3) + (-8)\/20. Let b = d + -58. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + -357?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233427 is divided by 1622.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 + d**4 - 6*d**5 - 385*d**6 + 426 - d**3 + 60 - d + 1034 + 2*d**2 wrt d?\nAnswer: -46200*d**3 - 360*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -273?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-21\/5)*w*w*w**(-2\/91))\/((w\/(((w*w**(-5\/7))\/w)\/w))\/w*w\/w**(-35)) assuming w is positive.\nAnswer: w**(-18171\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/4, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409428786 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 10*v + 1. Suppose -27*c = -34*c - 35. Let p be n(c). Solve 0*u = u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6 + (-18)\/27 + (-1387)\/1349\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -11*l + h + 17, -3*l = -2*h - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5974 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 7*i + 8. Let j be x(8). Solve j = -4*q - 0 - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12807 to three decimal places.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 368021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -30*1*6\/(-15). Suppose -k*n + 9*n + 6 = 0. Find the third derivative of -2*p**2 + n + 49*p**6 - 43*p**6 - 2 wrt p.\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*c**3 - 16*c**3 + 12*c**3 + (-c**3 + 5*c**3 - 2*c**3)*(-1 - 3 + 2) - 7*c**2 + 7*c**2 + 3*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -15*l**5 + 160017*l**4 + 832419*l**3 + 800463*l**2 + 128076*l = 0.\nAnswer: -4, -1, -1\/5, 0, 10673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1042 - -61. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 12542?\nAnswer: -12562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/(4326\/103).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -262295600 to the nearest one hundred thousand.\nAnswer: -262300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. Let u(i) = -3*i - 10. Let v(r) = 1. Let p be 12\/(4 + (1 - 3)). Let z(t) = p*v(t) + u(t). Give z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-2 + 0 + 4) - 2 - 2 + 1)*(1 - 1 + q)*(3*q - 2*q - 6*q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*f + 2*c, -f + 3*c - 3 = -0. Suppose -7*v - 1 + 8 = f. Calculate the highest common divisor of v and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 144 - 82 + 3*c - 65. Let z be 1\/(-2) - (-14)\/4. Calculate i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let p be (-384)\/6*(-2)\/4. Let u be 3 - 7\/(28\/p). Sort u, -1, w in increasing order.\nAnswer: u, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*x + 263 = -1417 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoqgsqso. Give prob of sequence os.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -26*o**2. Let u(q) = 12*q. Let k(p) = -23*p. Let a(b) = -k(b) - 2*u(b). Give m(a(h)).\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 13. Let a be p(3). Let x be a\/(-1)*33\/(-9) + 3. Let j be 14\/(-63) + (-47)\/(-90). Sort 5, j, 1, x in decreasing order.\nAnswer: 5, 1, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 + -1 - -8 - 1) - -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mppepiiprrpemir. What is prob of sequence ree?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**3 - 36492*f**2 - 20385333*f + 20421828 = 0.\nAnswer: -11577, -588, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 1259, 4251, 10083, 19703, 34059, 54099?\nAnswer: 80771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*g = 747, -2*c - 80 = -3*g - 565. Suppose 461 = 5*d - 4*l, -d + c = 2*d + 5*l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 16220502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-5))\/((54\/(-60))\/(-9)). Suppose 3*m - 8 = -2*x, x - y = -4*m - 12. What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x. Let r = 4 + 0. Suppose -r*d = 5*p + 7, 5*d + 3*p + 0 = 1. Let s(j) = d*j - 3 + 3 + 0. Give t(s(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092310 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 2 + 2)*-4.\nAnswer: -28*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 5, e: 2, r: 1, t: 2, z: 2}. Give prob of picking 2 s and 1 t.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r - 12*r**3 + 3*r**2 + 11*r**3 + 3*r**3 to the form q*r**3 + n + z*r + u*r**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-12) - (-14)\/(-21). Factor 7\/2*w - 9\/2*w**2 - 1 - 1\/2*w**4 + h*w**3.\nAnswer: -(w - 2)*(w - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -156. Let l = 193 + s. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {j: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -157*b**4\/24 - 74*b**3\/3 + 4*b**2 - 33*b. Differentiate z(s) wrt s.\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 - 11.8. Let i = d + 4.7. Let a be (-4)\/3*6\/(-28). What is the third smallest value in i, -0.08, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.7, -0.3, 44, 5, -0.206?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w**(-1\/10)*w)\/(w\/(w\/w**8))*(((w*w**(-2\/7))\/w)\/w)**32)**46)**(-44) assuming w is positive.\nAnswer: w**(3205004\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-285.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 57*m - 67*m. Let w be (-16)\/(-14)*(-84)\/m*-10. What is the greatest common divisor of 200 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 l when four letters picked without replacement from {e: 3, d: 7, j: 1, o: 3, l: 4}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.0408 - -0.0408. Let r be -1*(1 - (-1 - 1)). Put i, -0.2, r in ascending order.\nAnswer: r, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 323\/92 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14560 divided by -13.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (14 - 17) + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579303 is divided by 478.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 3*h**2 + h + 6. What are the prime factors of w(5)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**4\/12 - q**3\/6 + 10*q**2 + q. Let c be j(0). Suppose 10*o = 5*o + c. Solve -o*w + h + 18 = -0*h, 4*w = -3*h + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 - 163. Calculate the remainder when 28 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0467955 + 0.3.\nAnswer: 0.2532045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45820100 divided by -6\nAnswer: 22910050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, v: 12, a: 1}. What is prob of sequence av?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - ((-12)\/4 - -3))\/2. Solve g = q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5, h + 24 - 9 = 3*t. Suppose 0 = 3*u - h*u - 3. Solve -4*w = -r - u, -w = -r - 1 - 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 72*k - 149. Let w be a(2). Let j(b) be the second derivative of -14*b + 7*b**2 + 0 - 1\/2*b**3. Let p(m) = -2*m + 9. Determine w*j(g) + 8*p(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2379*j + 5701. What are the prime factors of l(5)?\nAnswer: 2, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let b = 5 + a. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.281939 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24006863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 + 3.15. Which is the third smallest value? (a) 0.4 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 < 867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 13. Let f(c) = -67*c + 65. Let m be f(1). What is o(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -0.5, -1, -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 + -4. Suppose 120 + s = -6*k. Let t(x) = 30*x**2 + 5*x. Let b(y) = y**2. Let u(p) = k*b(p) + 2*t(p). Find the second derivative of u(v) wrt v.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220\/(-22))\/(11\/(-11)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588707 and 777.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53886013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*v = v - 17, -2*j - 3*v + 19 = 0. Suppose 0 = -4*f + o + 30, 4*f - j*o - 34 = o. Suppose h - f = -0*b + 3*b, 5*h - 19 = -b. Sort b, -3, 4.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8656 is divided by 4244.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40961 - -1?\nAnswer: 40962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 12672100 to the nearest one hundred thousand.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/((-9)\/(-27)). Let i be ((1\/2)\/m)\/((-6)\/576). Suppose i = -6*n + 9*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -7626 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let w = 2 - q. Let d(k) = -k**2 - k + 1. Let t be d(-2). Which is the nearest to t? (a) -4\/7 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - 2*x**2 - 6*x - 3. Give p(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 338837498*a**4 + 332828166*a**2?\nAnswer: 8132099952*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000733336606 rounded to 7 decimal places?\nAnswer: -0.0007333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 7*g**2 + 6*g. Let r be i(-6). Solve r = -s - 0*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/255 - 15 - ((-147)\/51 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185295541 + 12807*v - 12809*v - 185295541.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3*s**2 + 18 + s**3 - s**2 - 34 as r*s + c + y*s**2 + q*s**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11, 1, -134?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let c(z) = -z + 21. Let u(i) = c(i) + 6*x(i). Let s be u(13). Solve -d - s*d + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-50 - 25 - 58)*(h - 1 + 1).\nAnswer: 133*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 22 = -134. Let u be (-8)\/w - 36\/(-21). Is 16 a factor of 12*(u - (-27)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421224 + 21?\nAnswer: 421300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (159 - 135 - 319 - 73)*(3*a - 10*a + 15*a) in the form f*a + q and give f.\nAnswer: -2944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-19 + -4 + 7 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 1879*s**4\/24 + 1053*s**3 - 356*s**2. Find the first derivative of q(f) wrt f.\nAnswer: 1879","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837602 and 584?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.115, -1\/3, 33, 5, -3, -4 in decreasing order.\nAnswer: 33, 5, -0.115, -1\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*57.4\nAnswer: 344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 5, -0.052, -129, -4, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236239, 236242, 236245?\nAnswer: 236248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 21 + 21 = 0. Let u(c) = c**3 - c**2 - c - 8. Give u(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5010 and 6?\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 3*f + 4. Let w be y(-3). Let a = w + 57. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n**3 - n + 2. Determine f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 7.17.\nAnswer: -21.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/27 - (-499652)\/69. Which is greater: 7242 or w?\nAnswer: 7242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 1. Let a(m) = -61*m + 36*m + 27*m. What is 5*a(v) + 2*y(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:15 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 632*v - 5532. Let f be s(-9). What is the fourth smallest value in -3\/2, f, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(1395\/2484)*150\/180\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -4)\/((-1)\/4). Suppose -3*m + 52 = a*x, 5*m - 54 = 2*m - 3*x. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, 2, 0.5, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-35) + (-6)\/(-20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 233, 214, 197, 182, 169, 158, 149?\n\"Answer: k**2 - 22*k + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7505 - 466370?\nAnswer: -457764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90\/11 or 50920?\nAnswer: 50920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 61 - 348. What is the second derivative of -d*k**2 + 129*k**2 + 496*k - 438*k wrt k?\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(875)\/sqrt(5))*1.\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*k + 15*k - 14*k)*(-8*k**2 + 3*k**2 + 36*k**2) as y*k**2 + v + b*k**3 + j*k and give b.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8430 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (17 + -8) - -115) + 22 + -6 + -1.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4765 bigger than -4665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 1. Let j(h) = -7*h - 6. Let y(i) = 2*d(i) + j(i). Let u be y(-5). What is the highest common divisor of 84 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Let d = 721 + -724. Let j(t) = 6*t + 17. Let x be j(d). Which is the nearest to 2? (a) -4 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2 + sqrt(114))\/sqrt(6) + 4.\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28\/5, -255\/478, 1\/15, -1\/4 in descending order.\nAnswer: 28\/5, 1\/15, -1\/4, -255\/478, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4104 = 3*z. Does 57 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116320 rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -2*c**6\/15 + c**4\/6 + 12*c. Find the third derivative of k(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*l - 92826 = 2113*l + 50434 for l.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -37761*z**2 - z + 742. Let b be s(-27). Round b to the nearest 100000.\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401500 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -16167?\nAnswer: 16166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131001 + -212233033?\nAnswer: -213030100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/120 - u**4\/4 + 5*u**3\/12 + 17*u**2\/6 + 947*u. Determine k, given that n(k) = 0.\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 124 (b) -1 (c) -2\/3 (d) 749 (e) 5\/3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 - 8 + 8 + (-4*d**4 + 3*d**4 + 0*d**4)*(-15*d - 26*d - 36*d).\nAnswer: 72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179552*b**2*u - 2*b*u + 114838*b wrt b?\nAnswer: 359104*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000060010684 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -6.\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - a**2 - 51*a + 104. Calculate j(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 r when four letters picked without replacement from ffrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b + 252. Suppose -a - 17 = -b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 6*j**2 - 5*j - 16. What are the prime factors of t(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 2. Let s = p + -52.05. Is s greater than or equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -50. Let z be (0 - g\/9)\/((-2)\/24). Solve 4*w - z*k - 4 = 4, 2*w = -3*k + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-9) + (-2)\/6. Let d = r + 121. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -19*j**8\/1680 - 5*j**4\/24 + j**3\/2 + 5*j. Let u(w) be the second derivative of f(w). Differentiate u(r) wrt r.\nAnswer: -76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-44*(-1 - (-11)\/2))\/((-69)\/322)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1644 (base 12) to base 15\nAnswer: bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1691*d = -84130 + 19872 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 930772 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 5*p = 22. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p + 4*p + 2 - 3*p wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p - 31*p - 9*t + 358, -26*p - 4*t + 163 = -29*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057623741 rounded to 6 dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/60 + c**4\/24 + c**3\/6 + 502*c**2. Calculate s(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -929 minus -3?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1517*k + 10319. What is the least common multiple of 9 and p(5)?\nAnswer: 53712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:43 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -413825, 4, 10 in increasing order.\nAnswer: -413825, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from llpltttwltptp.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42622 and 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 398 + 16744 = 0. Let o = l + 7854. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96174 + -16253452\/169. What is the common denominator of 9\/455 and f?\nAnswer: 5915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.5187nm to kilometers.\nAnswer: 0.0000000007325187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -105, -3\/2.\nAnswer: -105, -3\/2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*k**2\/6 + 17*k\/2 - 3.\nAnswer: (k + 3)*(19*k - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n + 1. Let y(m) = -m**2 - 3*m. Let u(g) = g**2 + g. Let r(w) = 6*u(w) + 2*y(w). What is the units digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*(0 + 0) - -1. Solve -b + 1 = -j, 4*a + 10 = 5*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j + 13 = 122 - 45 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*4)\/(17 + -19). Put c, 4, 3 in decreasing order.\nAnswer: c, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuekfkeekrekeuku. Give prob of picking 1 f, 1 k, and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802049779 to the power of 1\/3, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 6*l - 4 + 4*l + 4*l**2 - 2*l**2. Let o(z) = -z**2 + 11*z - 3. Let y(v) = 4*c(v) - 3*o(v). Calculate y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 1220 (c) -5 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*x + 12 = 0, -2*x = -69 + 61. Which is the fourth biggest value? (a) 4 (b) 5 (c) y (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 6. Let o = i + 3.3. What is the smallest value in -2, o, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5965*v + 36409. What is n(7)?\nAnswer: -5346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13663847?\nAnswer: 113, 120919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-48 - (66 - 82))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-35))\/(((-48)\/(-9324))\/((-20)\/(-30))) and 39\/310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 29*r - 74. Let d be i(26). Solve d*h = 3*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20242331 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -8 - -8) + -12 - (-48 - 4)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*l + 483*l - 4 = 2*p, 3*l - 5*p - 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 18*g = -20*g + 12, 1 = g. Suppose 5*f = 4*f + i. Solve -3*c - 6*j + 17 = -2*j, -f*c - 5*j = -23 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*d**2 - 5*d**2 + 131*d**5 - 4*d**6 - 58*d**4 - 64*d**2 + 58*d**4 - 4 wrt d?\nAnswer: -480*d**3 + 7860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than 0.075?\nAnswer: -15.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 147287702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11010499501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 16*x - 70. Calculate the greatest common factor of 48 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 19952?\nAnswer: 19947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*3\/(-15) + (-8)\/(-10). Solve 0 = 7*m - w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*1\/(-1)*-1. Let m = v + 11. Let j = 5 + m. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uddddddddddddudddd. What is prob of sequence dddd?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*k + 3 = 3*k, -3*g + 4*k = -24. Suppose b = -w + 2, 16 = g*w + 2*b - 0*b. Suppose -w*n + 2*n = -804. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 421 - 419. Sort l, 10, 0, 4 in increasing order.\nAnswer: 0, l, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c + 140 = -2*v, -c - 2*v + 40 = 0. Let o = c - 33. Let l(a) = 5*a + 14. Let x(q) = -2*q - 5. Give o*l(j) - 8*x(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3399 (b) 1\/17 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 26*v**2 - 16*v + 30. Let l be y(12). Suppose -l*r + 123*r + 48 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 16068434.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101173668 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(q**(-19\/3)\/q)))\/q**(-18))\/((q*q*q*q*q**(-26)\/q)\/q**(-15)) assuming q is positive.\nAnswer: q**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.942 + 1.83. Let t = w + 0.112. Which is the second smallest value? (a) 2\/5 (b) 2\/29 (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 3*u**2 - u**4 + 5*u + 3*u**2 in the form n + f*u**2 + d*u + v*u**3 + y*u**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9030 or 126401\/14?\nAnswer: 9030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-5 + (sqrt(1100) + sqrt(1100)*2*-3 - (-5 + sqrt(1100) + 2)))**2) + -3.\nAnswer: 240*sqrt(11) + 39597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38482, -77001, -115538, -154099, -192690?\nAnswer: -231317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15*v + 1320. Determine b(-86).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 1. Let d be m(2). Let s = -51 + 53. Put -4, s, d in descending order.\nAnswer: d, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q + 4 = 0. Let o be 4\/8*(4 + -3). Let q + o*y**2 + 2*y = 0. Calculate y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 21*i**2 + 55*i - 219. Is t(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1041872 by -4.\nAnswer: -260468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11993, 11992, 11991?\nAnswer: 11990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000199 to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggbyyh. What is prob of sequence byy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, -3, 423 in ascending order.\nAnswer: -3, 1, 3, 5, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002775 rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -785*g - 51259. Give p(-66).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 666 and 31672?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y - 2485 = -22*y - 2701 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*z**4 - 41*z**2 + 41*z**2 + (-2*z + 4*z - 4*z)*(10*z + z**3 - 3*z + 0*z**3).\nAnswer: -43*z**4 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 77 + (75\/(-30))\/((-10)\/4). Suppose 5*s = k - 3. What is the highest common factor of 27 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46047 divided by -4\nAnswer: 46047\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*j = -2*l - 47, 0 = -5*j + 5. Let k = -2 - l. Is (16\/k)\/((-2)\/(-185)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -5*q**4\/12 - 245*q**3\/6 - 120*q**2 + 133*q - 2. Factor v(z).\nAnswer: -5*(z + 1)*(z + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8089307929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19030 - 9863. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 4*f**2 + 6*f**2 + (2*f - 4*f + 3*f)*(-3*f - 3*f + 5*f) + 9*f**2 + 12 - 12 + (0 + 2 - 4)*(0 + 1 - 3)*(f**2 + 2*f**2 + 2 - 1).\nAnswer: 22*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/20 + ((-6530643)\/12)\/(-21). Round f to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4828.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 20*x**3\/3 + 27*x**2\/2 + 5290*x - 1764. What is the first derivative of h(r) wrt r?\nAnswer: 40*r + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -298\/915 + 23\/183. What is the closest to -0.02 in 5, 0.5, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 4}. Give prob of picking 3 w.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/62 - (-2)\/(-4) - (-4900)\/5299. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30613 - -2081767\/68. Let j = 8\/17 - d. What is the third biggest value in j, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - 0\/(-4). Let y = 1.891 + -1.891. What is the closest to y in -2\/5, k, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64834 divided by -5894?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 1834499.\nAnswer: 1834499.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - t. Suppose 0 = -x + 2 - 3. Let y(r) = -3*r**2 - 6*r. Determine x*y(a) + 6*n(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + -3*2*sqrt(2057) + (-6*(sqrt(2057) + -1) + sqrt(2057))**2 + ((-2*sqrt(2057) + sqrt(2057) + 1)**2 - sqrt(2057))*-2.\nAnswer: -649*sqrt(17) + 47345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -41*s. Let y(b) = -21360*b + 2. Calculate y(q(k)).\nAnswer: 875760*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66201.35l?\nAnswer: 66201350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4194946, -4194945, -4194944, -4194943?\n\"Answer: y - 4194947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -302ab2 (base 15) to base 6\nAnswer: -121005152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/8 + 57*y**2. Let k(n) = 4*n - 2. What is k(t(o))?\nAnswer: 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 11. Let v(k) = k + 6. Determine 3*s(a) - 5*v(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -358\/2965 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 436, 707, 982, 1261, 1544?\n\"Answer: 2*p**2 + 265*p + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228 + 232. Solve z = -4*z + 2*y + 16, b*y + 20 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 30. Let f(s) = s - 12. Let z(a) = 5*f(a) - 2*v(a). Let i(c) = -16*c - 5. Give z(i(n)).\nAnswer: -48*n - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3328526 to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 683*p**2*x**5 - 2*p**2 + 119*p*x - 10*p + 425*x**5 + 4*x - 2 wrt x?\nAnswer: 13660*p**2*x**3 + 8500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2335, -4665, -7007, -9367, -11751?\n\"Answer: -u**3 - 2323*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20036, -21552, -23066, -24578, -26088, -27596?\n\"Answer: d**2 - 1519*d - 18518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a - -600?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 3, -24, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -65973*b + 197882. Determine k(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 12*j - 2552. What is the lowest common multiple of 16 and j?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2.21\nAnswer: -4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1010302 (base 4) to base 3\nAnswer: -20001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1209*l**4 + 120704 - 120704)*(-1 + 1 - 1) + (-3 + 3 + 2)*(5*l**3 + l**4 - 5*l**3) to o*l**4 + r*l + f*l**2 + h*l**3 + d and give o.\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, 0.4, -10\/3, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1163 less than or equal to -1546180\/1331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - r**3 + 0*r - 5*r + 5 - r - 9*r**2. What are the prime factors of b(-7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.3 (c) 187 (d) -16 (e) -1\/8 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -19344.\nAnswer: -19343.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 37. Let c = 107 - 120. Let v(f) = -80. Let x(h) = c*y(h) - 6*v(h). Let d(l) = 2*l - 1. Give d(w) - 4*x(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152969\/310 + -987\/2. Let u = -14\/31 - k. Let i = -0.03 + 2.03. Do i and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-525)\/(-20)))\/(12\/(-30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-24)*(-8)\/(-6). Let b(w) be the third derivative of -w**2 + 4\/9*w**j + 0 + 1\/9*w**4 + 0*w + 1\/90*w**5. Factor b(t).\nAnswer: 2*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose q + n = 15. Suppose -4*w - 2*m + 125 = -5*m, -2*w - 3*m + 49 = 0. What is the remainder when w is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - a**2 - 5 + 1.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -16. Suppose 0 = -j - 5*a - 23, 5*j + a + a = -23. What is the closest to 0 in -0.5, j, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Suppose 26 = 88*k - 62*k. Let d(j) = j**3 - j**2 + 2*j + 1. What is k*c(z) - d(z)?\nAnswer: -z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -21*n - 17. Let j(m) = 106*m + 80. Give -3*j(y) - 14*k(y).\nAnswer: -24*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -7*v**3\/6 + v**2\/2 + 24*v - 4. Let p(f) = 6*f - 1. Determine -6*p(r) - 5*z(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1221\/28 + 391\/7. Calculate the common denominator of -49\/2 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w**3 + w**2 - 2. Let p be n(1). What is the greatest common divisor of 70 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16902?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + -63. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28678 by -5.\nAnswer: -28678\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 123336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522356 (base 10) in base 16?\nAnswer: -173ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-12)\/(-14))*(-17 - (-460)\/23)*-3?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/14)\/((-7)\/(-14)). Let d(b) = -b**3 + 4*b**2 - 2*b. Let l be d(3). What is the second smallest value in y, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4249458597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98.21 - 102.21. Sort 2\/9, 0.1, 5\/12, y in increasing order.\nAnswer: y, 0.1, 2\/9, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 = q - 3*r, 11 = -3*q + 5*r. Let g be (0 - 2 - -3)*q. Solve -5*z - 2*b + 30 = -7*b, -g*b - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2ba (base 13) to base 8\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let t be y(3). Suppose 3*v - 3*x - 115 = 11, -t*x = -4*v + 169. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-24) - (18\/2 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + ((-14)\/(-5) - 2). Let m = -4 - -2. Let l be 1*m - 72\/(-38). What is the third smallest value in 5, l, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.3, -2\/7, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, f: 2, x: 1, e: 1, v: 2}. Give prob of sequence fx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 2*y - 3*y)*(-224*y**2 + 30*y**2 - 97*y**2) as i + z*y**3 + r*y + w*y**2 and give z.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 24710?\nAnswer: 24710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409 less than 0.5?\nAnswer: -2408.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 23858\/869)*(2\/(-14) + (-390)\/(-35))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 6*x**2 + 0*x**2 + (1 - 1 + 1)*(3*x - 3*x - x**2) + 1 - 1 - 2*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138992, 277981, 416968, 555953, 694936?\nAnswer: 833917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/4 (b) -42 (c) -2423 (d) -3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9547350 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*k**4 - k**3 - 104*k wrt k.\nAnswer: -1368*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 57 - 42 = 0. Let h be 2\/4*(-4)\/(-2). Calculate the remainder when i is divided by h + 8*(-1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 21*d**2 - 17*d + 11. Let v be q(-6). Solve l - 5*h + 3 = -v, 0 = 4*l - 4*h + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47893, 53087, 58285, 63487?\nAnswer: 68693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m - 263. Let y = -222 + 241. Let l be q(y). Solve -4*u + 3 = -t, 2*u - 8 = -l*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 10. Let i be (-12)\/v*3\/6. Let q(w) = w**3 - 3*w - 3. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112*741\/1248)\/(21\/6) - 102.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(6\/(-1)) - -780?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72355308 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/10)*v**(-7)*(v**0)**(-25\/4))**(-38) assuming v is positive.\nAnswer: v**(1349\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**2 + 2125*m = 0.\nAnswer: 0, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -785 + 764.28. What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 = -456*i + 29979 - 3597 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -477169\/3 <= -159056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2815 divided by -563\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 3*l. Let z(n) = n. Give -v(d) - 4*z(d).\nAnswer: -4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359884, 1439540, 3238966, 5758162, 8997128, 12955864, 17634370?\nAnswer: 23032646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*k = 19*x + 126*k + 42, -30 = 5*x - 5*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 2*a**2 + 3. Let t be g(2). Suppose -3*w = -5*j - 24, 0 = -t*w - w + 3*j + 21. Let z(u) = u**3 - 4*u**2 + 5*u - 3. What is z(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026463 is divided by 302639?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*v**2 - 35*v**3 - 919*v**2 + 558*v**2.\nAnswer: -35*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-5)\/(-80)*36\/10?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 13\/4 (c) -3 (d) -2\/3 (e) 80 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20325 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -18, -5 in descending order.\nAnswer: 1, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -37281*b**2. Let x(u) = 2*u. Determine g(x(l)).\nAnswer: -149124*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241*s**4 + 35676*s**3 + 113*s**2 - 7068*s - 8?\nAnswer: 5784*s + 214056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 4*s**2 + 7*s**2 - 6*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437174.\nAnswer: 2, 241, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-2*4\/48). Suppose -14*y = -20*y + f. Suppose y*a - 2032 = 3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8569, -7648, -6701, -5716, -4681, -3584, -2413?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 2788.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324008 and 2626?\nAnswer: 4212104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 69 = -27. Solve -41 = -4*y + v - o*v, 4*y + 2*v = 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**3\/2 + 3*l**2\/2 + 23*l. Let n = 5 - 10. Determine f(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122 + 18*c**2 + 122)*(-2*c + 3*c**2 + 2*c + (c + 0*c - 2*c)*(0*c + 2*c - c)) in the form r + a*c**2 + w*c**3 + y*c**4 + m*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.7611774 rounded to 0 dps?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1798\/143 - -140\/11. Sort -4\/9, n, -4, -0.25.\nAnswer: -4, -4\/9, -0.25, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(13)*6*-6 - (-1 + sqrt(117) + sqrt(117) + 5 + -1))**2.\nAnswer: -156*sqrt(13) + 79093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 363 and 5.\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 6*h - 2*h)*(-4*h + 9*h + 2*h)*(-2 + 5 - 1)*(1 + 6 - 1).\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*h + 200*h - 7087 = 0 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-322 + 4)*(-4)\/24. Suppose -r*x - 1272 = -57*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 205632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:16 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 3\/20*o**5 + 0*o**4 + 5*o + 0 + 0*o**2 - 1\/2*o**3. Let j(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, 0.5, 7, 4\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (5 - 7) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let r(o) = -4*o + 4*o + 5*o. What is y(r(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 9 - 4*l + l + 0*l to the form b + q*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24366, 97850, 220322, 391782, 612230, 881666, 1200090?\n\"Answer: 24494*n**2 + 2*n - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 5*z**2 + 19*z + 44*z - 75*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 5. What is the units digit of (r*(-9)\/(-243))\/(1\/3741)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38391854 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960 is divided by 1220.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -0.1, 2\/11, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c**5 + 177\/4*c**4 - 8*c + 0*c**3 + 1\/3*c**6 - 19\/2*c**2 + 29. Find the second derivative of q(h) wrt h.\nAnswer: 40*h**3 + 1062*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/2 of a day?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+0.2367\nAnswer: 0.1967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(1 - -1) + -2. Let o(s) be the first derivative of s**3\/3 + 7*s**2\/2 + 8*s + 75. Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9889, -38272, -85571, -151780, -236893, -340904?\nAnswer: -463807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1\/5*f**6 + 0*f**2 - 2\/3*f**4 + 0*f**3 + 0*f**5 + 0 - 6*f - 1\/21*f**7. Factor o(h).\nAnswer: -2*h**2*(h - 2)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148145799, -148145800, -148145801?\nAnswer: -148145802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -8214?\nAnswer: 8214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1276\/5 + 256. What is the closest to 1\/3 in -1\/5, d, -1\/2, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 3*q**2 - 8*q + 1. Let r(s) = -2*s**2 + 5*s - 6. Let i be r(2). Let u be d(i). Solve 0*l - t - 1 = -l, -3*l - u = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z + 16 - 4*z - 15)*(7 + 4 - z + 2*z)*(-4*z**2 + 3*z**2 + 5*z**2).\nAnswer: 20*z**4 + 224*z**3 + 44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 = -306*w + 2524 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -85. What is the highest common divisor of 32 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -653686?\nAnswer: 5\/326843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(2\/7)*u)\/u)*u)**27 assuming u is positive.\nAnswer: u**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*z + 6, 5*a - 13*z + 18*z = 15. Suppose 3*f + o - 5*o + 9930008 = 0, a = 2*f + 5*o + 6619990. What is f rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-2)\/(-76)). Suppose 4*c + 18 + 14 = 0. Let b = c + o. Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 21*b**2 + 11*b. Let q(n) = -n**3 - 3*n**2 + n - 2. Let m be q(-3). Let s(t) = -21*t**2 - 12*t. Let v(h) = m*s(h) - 6*l(h). Factor v(a).\nAnswer: -3*a*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3034 < 3777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599853407 is divided by 352.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 3 + 1 + 4. Let j(c) = 3*c**z - 6*c**2 + c**3 + 5*c - 3*c**3 + 0 + 2. Determine j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/((-285)\/(-513)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7654 at most as big as -7651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378.09304 + 378. Round w to three dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q**2 + 72\/5 + 24\/5*q.\nAnswer: 2*(q + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (4 - (-3 - 0)). Let m = d - -21. Suppose 4*z = m, 5*h = 2*h + 3*z + 150. What is the remainder when h is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 1\/3*n**3 - 1\/60*n**5 + 0*n + 11*n**2 + 0 - 1\/6*n**4. Calculate r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:38 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 724. Let d(f) = -3*f**2. Calculate d(k(a)).\nAnswer: -3*a**4 + 4344*a**2 - 1572528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*d + 131*d = -19*d + 3240 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3187341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3433983 and 118167?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3272 take away 19638.95?\nAnswer: -19638.6228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-4 - (-2 - 0)). Suppose -2*l + 60 = 10. Suppose -5*u + 15 = 0, 0 = -5*n - 3*u + 4 + l. Put 2, s, n in increasing order.\nAnswer: s, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:27 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 6*c + 2*c - c**2)*(8*c + 6*c + c).\nAnswer: -15*c**3 - 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*u, 192*u - 384*u + 23 = -5*b - 195*u for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**3 - 105*d**2 - 14*d - 210. What is p(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -504*m - 602. Let x(b) = 112*b + 135. Let y(k) = -11*o(k) - 49*x(k). Let i(f) = -112*f - 13. Give 6*i(q) + 11*y(q).\nAnswer: -56*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165796488 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11772426?\nAnswer: 2, 3, 1962071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 10*k**2 - 11*k + 18. Calculate the lowest common multiple of (-3)\/6 + 3 + 76\/8 and y(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68836 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**2 + 11*z - 23. Let h be v(6). Suppose -5*u + 177 = -h. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -271, -385, -471, -511, -487?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*r = -30 + 20, -4*r + 5 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 - 2*z + 9. Let a be g(-4). Solve q = -y + a, -7 = -3*q + 3*y - 4*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:30 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + -7.4. Put 3\/4, 0.06, j in descending order.\nAnswer: 3\/4, 0.06, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222220 (base 3) to base 5\nAnswer: 10401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -432, -910, -1388, -1866, -2344, -2822?\n\"Answer: -478*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112001221 + 100020?\nAnswer: 112102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 1:49 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1\/(-24))\/(12\/54)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3 + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-24) + 2\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**4 + 4*n**3 - 4*n**2 - 3*n. Let o(i) = i**4 + i**3 - i**2 + i. Let r(a) = -l(a) + 4*o(a). What is the second derivative of r(m) wrt m?\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868515*j + 720 = -868555*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**5\/15 - 137*c**4\/2 + 168097*c**3\/9 + 56444*c**2 + 169744*c\/3 + 1117. Determine n, given that j(n) = 0.\nAnswer: -1, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -192. Let o(z) be the second derivative of -1\/13*z**3 - 2\/13*z**2 + z - 1\/78*z**4 + l. Solve o(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 56*k - 90 = 26*k, 4*p - 5*k = -0*p - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -55?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(405))*2 - -1*sqrt(405)*2)**2.\nAnswer: -144*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + v**3 + v**4)*((-25*v + 20*v + 53*v)*(0 + 4 - 2) - 40 + 40 - 25*v).\nAnswer: 71*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-9))**0\/(l**(-6)\/(l**(-2\/9)*l))**37 assuming l is positive.\nAnswer: l**(2257\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 552, 840, 1128, 1416?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 2. Let l = 14 - 14. Let s be p(l). Suppose 3*j + s*j = -5. Is j greater than -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5872.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -243483012 divided by 18\nAnswer: -13526834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*r = -20, -22 = -2*f - 3*r - 3. Solve 0*s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 2\/159?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 10*u - 6. Give z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + ((-137)\/(-20) - 1) and -74*(-2 + 237\/120).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 30 (c) 5 (d) -100 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1363228 - 47716831\/35. Let z = -110 - t. Is -1 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from {i: 6, p: 5, k: 1, o: 3, f: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let b(u) = u**2 - 3*u + 5. Let z be b(m). Solve 3*v + 3 = -z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 9*x + 35. Suppose 2*c = -3*b - 2*c + 743, -x*b + 2*c + 1273 = 0. Does 38 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6528685?\nAnswer: 5, 19, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 12, -5*m - 20334 = -2*n - 20313 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (2 - -3) - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496575 + 165619 + 165343 + 165613 - 5*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(2\/116). Let a = -100 - z. What is the highest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2*x**3\/3 + 5. Let g(u) = -u**2. What is m(g(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147\/8 + 37\/2. What is the closest to -0.1 in 2\/9, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/5618528 and 31\/9573676.\nAnswer: 1455198752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9072, -18127, -27182?\n\"Answer: -9055*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 k when four letters picked without replacement from llkklmkmlkllllll.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 12:11 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 200 - 70 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4841 = 5*t - q, -3*t - 3*q = 1309 - 4228. Let s(u) = -u**3 + 22*u**2 + 115*u + 14. Let g be s(-5). What is the highest common factor of t and g?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 + 2 + -11)) + (85 - 68)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663607534?\nAnswer: 2, 331803767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47568)\/720 - -7*9\/630*8\/12.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -80.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74247, 74251, 74255, 74259, 74263, 74267?\n\"Answer: 4*g + 74243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -4, 4 in decreasing order.\nAnswer: 10, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) - (-78)\/30. Let d be (2\/3)\/((-6)\/(-45)). Suppose -d*a = 4*v - 12, a + 4*v = -a. Solve y*b + a = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q - 5. Let p be k(-5). Suppose 0 = u + p*a - 33, -5*a - 66 = u - 3*u. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312275 * -1.53\nAnswer: -477780.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 14*j + 19*j - 974, 0 = -8*c - 3*j + 2649. Solve 220 = 79*z - c for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**4\/12 - 3*s. Let l(w) = 12*w**2. Calculate v(l(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25636 and 722332.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = h - 2*z, 3*h - z + 8 = -6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + j + 9 = 0, -2*u - 5 = 4*j - j. Let g be -10*1\/u*-1. Solve -5*d = b - 5 - 5, b = g*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 2 - 2 - 26. Let r = h + 80. Suppose -1 + r = 2*w. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67, 252, 561, 988, 1527, 2172?\n\"Answer: -o**3 + 68*o**2 - 12*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*12\/21)\/((-52)\/(-182))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -580 - -579.557. Let n = 196.443 + d. Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 8.3, 150.\nAnswer: 0.3, 8.3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -366, -363?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {u: 3, g: 1, v: 1, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*c + 3*i, -19 = 3*i - 25. Suppose 2136 = 3*k + n, 2*k = 5*n - c*n + 1441. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s - 35. Let d be x(-16). Let b = d - 94. Is -2\/15 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5\/3 + 860*d**4\/3 + 44920*d**3\/3 - 139960*d**2\/3 + 141700*d\/3 - 47524\/3 = 0.\nAnswer: -109, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 139, 164, 219, 310, 443, 624?\n\"Answer: g**3 + 6*g**2 - 24*g + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (-5 + 0 + sqrt(704)*-1 + sqrt(704) + (sqrt(704) + (sqrt(704) + 0 + -4)**2 - sqrt(704)) + 1 + (0 + sqrt(704))**2)*3 + -4).\nAnswer: -21290 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -235b0 + d02?\nAnswer: -227ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkekkkkkkk. Give prob of picking 1 k and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.581406, 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4579 and 1094516\/239 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -56, -53, -50?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 43. Let i be s(9). Let r = i - 22. Solve 2\/3*v**r - 2*v - 4\/3 + 0*v**2 = 0 for v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -8*z + 813. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981033477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14750139*b**3 - 261*b**2 + 538 wrt b.\nAnswer: -88500834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7976 + 7976.2. Which is the second smallest value? (a) -12\/113 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*o + 265434*a**2 + 7654823*a*o**2 + 100*a with respect to o.\nAnswer: 3*a**2 + 15309646*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*m**2 + 1077*m**2 + 27*m - 9*m**3 - 257*m**2 - 25*m.\nAnswer: -9*m**3 + 1457*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -f - 0 - 8, 16 = -f + 3*q for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57868 and 0.071.\nAnswer: -4108.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 5. Let k(f) = -2*f + 13. Let r(m) = -2*m + 13. Let j(n) = 4*k(n) - 3*r(n). Let h be j(0). What are the prime factors of t(h)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23007158 to the nearest integer?\nAnswer: 4797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 4*z + z)*(202 + 42*z**2 + 256 - 456 - 127*z) in the form q + i*z**3 + n*z + p*z**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4177798?\nAnswer: 3\/4177798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*f - 47 = -f, 60 = 4*c - 4*f. Let p = -7434 + 7439. Solve p*z = c - 38 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*z - 870 + 387 = 831 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {k: 1, l: 1, v: 1, o: 1, x: 1, r: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(76) + ((sqrt(190) + -1*sqrt(190)*4 - sqrt(190)) + sqrt(190))\/sqrt(10).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109, -166, -223?\n\"Answer: -57*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 1\/1 - (-12 + -2312) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 0 + (-1)\/(5 + 2262\/(-452))?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2312*a**3 + 2*a**2 + 7*a - 2. Let u(g) = 9240*g**3 - 8*g**2 - 31*g + 9. Calculate 9*k(s) + 2*u(s).\nAnswer: -2328*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -4, 10, -5 in decreasing order.\nAnswer: 10, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -42*d + 62. What is k(15)?\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 26 = 3*m + 3*r, -3*m + 4*r + 16 = 0. Suppose -w + 4 = -m. Is 28*(60\/w)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 8*j + 12*j)*(-1591*j + 4 + 1783*j - 1132*j).\nAnswer: -12220*j**2 + 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**3 + 36*b**2 - 36*b. Let y(u) = -u**2 + u. Suppose 43*k - 1440 = 3*k. What is k*y(c) + o(c)?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2112 - -2117. Let w = -6\/19 + 68\/95. Sort f, -5, w in decreasing order.\nAnswer: f, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-4) + 2\/(-4). Let k be (-12)\/(0 - -3 - 4). Suppose 4*l + 0 = k. Solve 0 = -z*o + l*x - 4*x + 1, 2*x = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345966 + -201083. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 11.8.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002598211 rounded to 6 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -899704689 take away 0.4?\nAnswer: -899704689.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01253537134 rounded to six dps?\nAnswer: -0.012535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 503 + 501 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90 - (-50 + -47)) + 0 + (-17 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*f + 27 - 27)*(-2083*f**2 + 2083*f**2 - 57*f**3).\nAnswer: 1425*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o**2 + 4032*o + 16538. Give r(-233).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 385.99878 to one decimal place.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 21*p - 16. Let v be a(-14). Suppose 38 - v = z. Let t = z + 45. What is the lowest common multiple of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 586*w - 3431. Determine b(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2076, -3977, -5858, -7713, -9536, -11321, -13062?\n\"Answer: w**3 + 4*w**2 - 1920*w - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 813107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c293 - 0?\nAnswer: c293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151316 and 9652?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 3*r - n + 60, -5*r + 2*n = 131. Let m = -20 - r. Suppose -8\/5*a**3 - 4\/5 - 2*a**m + 24\/5*a**4 + 18\/5*a - 4*a**2 = 0. What is a?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -980 + 1056. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 323 - 47. Let p = q + -73. What is the remainder when 35 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392952085?\nAnswer: 5, 109, 721013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xxxxxqqxxq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -644*p**2 + 712*p + 256.\nAnswer: -4*(7*p + 2)*(23*p - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.316 + 1505596?\nAnswer: 1505610.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 4. Let n(l) = -2*l + 9. Let t(x) = x**3 - x - 5. Let g be t(0). Let y be -11 + 31 + -29 + 11. Calculate g*i(k) + y*n(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -23)*(-5)\/220?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4697 and 23\/27755.\nAnswer: 305305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1328.01 and 1837.\nAnswer: 3165.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 - 15*i - 41. Let h(g) = 2*g**2 - 3*g - 8. Give 11*h(z) - 2*p(z).\nAnswer: 4*z**2 - 3*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-137)\/5)\/(13\/(-65)). Let n = y + -135. Let a be 3\/((-9)\/(-6)) - -1. Solve 4 = l - n*p + 11, 5*p = a*l + 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgggsyy. Give prob of sequence ry.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2262\/(-4))\/(-4*(-6)\/(-64)). Suppose -5*k + 18*k - v = 0. Let y = 121 - k. Sort y, -1, -4, 4.\nAnswer: -4, -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 3:59 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/21 + (-419)\/(-1491))\/((-29)\/(-174) + 0)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/3*l**2 + 0 + 3*l**3 - 7\/3*l**4 - 4*l = 0.\nAnswer: -2, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 7 (b) 0.1 (c) -2\/5 (d) -0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1904*l + 3459*l - 1553*l + 35 + 6.\nAnswer: 2*l + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/12*-2*1\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 80. Let y be i(-19). Find the second derivative of y*o - 25*o**2 + 2 + 4 - 8 + 3 wrt o.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -3 (c) -1608 (d) 0.4 (e) 0 (f) -486\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341726.\nAnswer: 2, 7, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (256\/352)\/((-74)\/407)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 5 + -75 - (1 + 1). Let d = w + 78. Solve -q = d*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 190650, 380983, 571316, 761649?\n\"Answer: 190333*p + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(4\/5)*j)\/j)**(-4)\/(j**7*j*j*j**(-9\/2)))**(-26\/9) assuming j is positive.\nAnswer: j**(169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283199 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 91 = 133 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 2*q - 14 + 25)*(2*q + 5 - 3 + 0*q).\nAnswer: -4*q**2 + 62*q + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -61, -120, -201, -304, -429, -576?\n\"Answer: -11*t**2 - 4*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3))\/sqrt(6) - (sqrt(3) + ((sqrt(21)*-1)\/sqrt(7))**2) - ((-2*sqrt(243))**2 - sqrt(243))*4.\nAnswer: -3891 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 - 127 + 322 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 449*t + 7477. Give m(-17).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express 564*h + 580*h - 6*h in the form r*h + u and give r.\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 11:17 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 23, 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.104, 3.\nAnswer: -0.104, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1747624, -1747628, -1747634, -1747642, -1747652, -1747664, -1747678?\n\"Answer: -g**2 - g - 1747622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 12?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*u + s = -226*u - 2, 4*u + s = -2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 3393 = 11583. Let g be 6\/9*(-918)\/k. Is -1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5320005 (base 6) in base 13?\nAnswer: -90c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 3*a - 2. Let f be t(-1). Suppose -165 = -5*g - 6*i + i, -5*g + f*i + 165 = 0. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l**3 + 3*l**2 - 4*l. Let b(z) = 29*z**3 - 5*z**2 + 9*z. Let i(r) = -4*b(r) - 9*u(r). Let j(y) = 3*y**3 - 2*y**2. Determine -2*i(t) + 7*j(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-54) - (-58)\/(-18). Let w be 1 + 10\/(-6) - 16900\/75. Let f = j - w. Is f 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 2:30 AM and 8:57 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -2, -100 in descending order.\nAnswer: 11, -2, -3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17455, 34946, 52437?\n\"Answer: 17491*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 121. What is the highest common divisor of z and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*a, 5*w = 2*w + a. Suppose w*z - 20 = 4*y - z, -2*z = y + 5. What is the third smallest value in -2\/9, -2, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 4.7. Let f = -0.4 - o. Let y = 357 - 365. Which is the closest to 0.1? (a) 1\/3 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368948?\nAnswer: 2, 3, 7, 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. Find the second derivative of 4*l**3 - 2*l**3 + l - w*l**3 + 2*l wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/38802887 and 54\/505.\nAnswer: 194014435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 0.6. Suppose 4*v = 4*c - 36, 0*v + 5*c = v + 29. What is the third biggest value in 13, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178 - -183. Solve w*y + 8 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 times 0.0071\nAnswer: -0.04331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 - 5*o - 7 as v + m*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:31 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15982*h**2 - 4*h**3 + 31966*h**2 - 15984*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 + 0*b**5 - b**5 + (-2*b**2 + 1 - 1)*(2*b**3 - 3*b**3 + 3*b**3) + (39*b**5 - 21*b**5 + 36*b**5)*(-2 + 5 - 2).\nAnswer: 52*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48667728 divided by 24333864.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**15))\/(m*m**27)*m**(14\/11)\/m**22)**39 assuming m is positive.\nAnswer: m**(-14469\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150537967 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45903 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29438122, -58876248, -88314374, -117752500?\nAnswer: -147190626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 3*v**4\/8 + 3409*v**3\/6 + 63*v**2. Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)\/(n*n**(-1\/3))*(n\/n**(-10))\/((n\/(n**(-5\/2)*n))\/n) assuming n is positive.\nAnswer: n**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 3*a**4\/8 - 7*a**3\/6 + a**2. Does 19 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -11112?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 30\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 5*u - 3. Give o(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -498704, -997408, -1496112, -1994816, -2493520?\n\"Answer: -498704*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2634*d - 2*h - 10 = 2630*d, 3*h = -d + 27. Let i(v) = v**3 - 6*v**2 - 3*v. Determine i(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8389, 16764, 25137, 33508, 41877, 50244?\nAnswer: 58609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -6) + -12 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3bdaa - -3?\nAnswer: 3bdad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 2336949?\nAnswer: -2336951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/138 and 69\/10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1944 and -43\/45.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*h + 2\/9*h**3 + 0 + 2\/9*h**2.\nAnswer: 2*h*(h - 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 6) + 8 + (-71 - -152)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - 3*f - 8. Let w be x(-6). Let j = -16 + w. Let l be 513\/266 + (-3)\/7. Which is the second biggest value? (a) 0.4 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 11*d + 22. Let b be z(-9). Suppose 5*y = t + 52 - 18, b*t + y = -199. Let o = -149\/3 - t. Sort -0.5, 1, o, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-36) + (-1 - (-6757)\/5916).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let l(u) = 5*u**2 - 4*u. Let h(g) = l(g) - 4*z(g). Factor h(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 6832*f**4 - 3433488*f**3 - 534858496*f**2 + 1083505664*f = 0.\nAnswer: -958, -376, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -17*b**5\/20 - b**4\/6 - b**3\/6 - b**2\/2 - 2*b - 4. Let p(l) be the first derivative of c(l). Is p(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 9*p**2 + 5*p - 1. Is t(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8963394 by 3.\nAnswer: -2987798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 35360778*n**2 - 104198718397107*n.\nAnswer: -3*n*(n - 5893463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.941+1377069\nAnswer: 1377069.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 80 = 20. Suppose -13*b = -y*b. Suppose -2*f + 291 = 5*i - b*i, 3*i + f - 175 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 2*v - v + (2 + 2 - 2)*(-2*v + 5*v - 2*v) - v + 1 - 1 + v + 3*v - 6*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(52))*2.\nAnswer: -10 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.36487 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/36*-1*3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3\/2 - 4779*m**2\/4 - 130821*m + 65709 = 0. Calculate m.\nAnswer: -98, 1\/2, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m**3 + m**3 + 4*m - 3*m. Let y(a) = a + 9. Let d be y(-7). Let r(s) = -2*s**3 + 3*s**2 - s. Let j(v) = d*r(v) + 6*b(v). Factor j(n).\nAnswer: 2*n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from fffffbfb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*n**2 - 2021*n**2 + 468*n**2.\nAnswer: -2812*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/29143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((1*sqrt(76) + sqrt(76))*-2 + sqrt(76) - -1*(sqrt(76)*-3 - sqrt(76))))\/(-4*-1*sqrt(196) - -2*sqrt(196)*1))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/4560363 and 52\/9605871?\nAnswer: 451475937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -1361, -2040, -2719?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = m - 34 + 11, -a - m = -13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -1\/30*s**6 + 17 - 2\/15*s**3 - 3\/10*s**4 + 1\/5*s**5 - 3\/5*s + 7\/10*s**2. Factor a(z).\nAnswer: -(z - 3)*(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -l + 16, -3*l + 5 = -c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254701542 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) + (sqrt(13) + -2)**2*-5)*-1 + 2.\nAnswer: -21*sqrt(13) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-12) + 18\/(-7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14180 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 16) to base 11.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-134)\/20 + 2\/10)*-12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4 - 1 + 14*t + 3. Let r be a(2). Suppose 4*p + 2*i = 18, 0*p - 4*i + r = 3*p. Solve 3*f + 5*g = -p, g = -g + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 165*q**3 + 88*q + 2?\nAnswer: -24*q**2 - 990*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 11*c - 9. Let a be q(-11). Let o(p) = p**2 + 10*p + 6. Let z be o(a). Let n = 43 + z. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -28, -51, -82?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = -q, 3*k + 2*q + 1 = -0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*x - 1\/3*x**3 + 0 - x**2.\nAnswer: -x*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Let s(u) = -84 + 5*u - u**2 + 163 - 82. What is s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 287)\/(-16)*(-2878)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -333. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from kkktkkkktktkkk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - l**4 - l**4)*(2532*l + 41 - 7121*l - 41).\nAnswer: 9178*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9419 - -9415. Let p(g) = -g. Let t(u) = -3*u - 4. Give w*p(k) + 2*t(k).\nAnswer: -2*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8419*i**3 - 10*i**2 + 13*i + 8. Let c be b(8). Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 15*y = 0, 4 = z - 3*y. Solve -7*x - 14 = 2*o - 2*x, o - z*x - 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*b + 8 = 0, -5*b + 39 + 16 = 5*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604 divided by -21?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101001100100001000 - 1011100?\nAnswer: 1011101001100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 4*p**2 + 4*p + 6. Suppose 2*k - 6*k + 5 = -3*b, b = 5*k - 20. Let g be s(b). Is (-10)\/(-1 + (1 - g)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0007745*-1.66\nAnswer: -0.00128567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 252*t**2 - 37*t - 36. Give y(-1).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 + -144. What is the remainder when 389 is divided by c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**34*(v**(2\/5))**(1\/31))\/((v*v**(3\/4)*v*v*v*(v**(1\/12)\/v)\/v)\/(v**(3\/5)\/(v\/v**(-2\/3)))) assuming v is positive.\nAnswer: v**(-5903\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 + 235152\/1288 + ((-1180)\/(-1218) - 3\/9).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3944.54ml?\nAnswer: 3.94454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5577, 5572, 5567, 5562, 5557, 5552?\nAnswer: 5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55246527 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 316, -4\/3, -3, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3\/(1 + 0). Suppose -c = -5*j - 18, -4*c + o*j + 22 - 1 = 0. Find the second derivative of 4 + 4*h**2 + c*h + 2 - 6 wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 479390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -323 - -324. Solve 4*y - 3*y - h = -3*u, -3*y = 3*u + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 0*l + 2*l. Let b(f) be the second derivative of 5*f**4\/4 + 4*f**2 - 6*f. Let j(u) be the first derivative of b(u). Give j(d(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*o**4 - 337*o**3 + 13655 wrt o?\nAnswer: -20*o**3 - 1011*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmj when three letters picked without replacement from {m: 1, b: 1, z: 5, w: 2, j: 2, y: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -420921*i**3*m*x + 2620*i**3*m - i**2*m - i**2 wrt x.\nAnswer: -420921*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 19*v. Let a(z) = -13*z. Calculate j(a(g)).\nAnswer: -247*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + (-98)\/21)\/(1\/(-75)). Which is greater: -23 or p?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/210)\/(2\/(-5)). Let n = -0.2197 + 0.2197. Put -4, n, j in descending order.\nAnswer: n, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.065 + 0.1. Let m = v + 4.565. Let t = -4 + m. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -619276.32.\nAnswer: -619274.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 232*i - 761. Determine a(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 divided by -8?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -41*h**2 - 3*h - 3. Let y be j(-3). Let b be (8\/6)\/((-11)\/y). Is 3\/24*22*b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 + l - 1. Let p be u(-3). Let i(s) = -733*s - 1 + 734*s + 4. Give i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 9*k + 97. Give f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.4088618ns to weeks.\nAnswer: 0.0000000000002850675625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/34 - (-210)\/(-1785). Find m such that -66*m - 57 + m**h - 6*m**2 - 58 - 54*m = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grdc when four letters picked without replacement from {c: 10, r: 4, g: 3, d: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 16*y = 4. Suppose 4*q - 40 = -8. Suppose -d - 4 = 4*b, y*b - d = d + q. Let w(t) = t - 12. What is w(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262273876.\nAnswer: 2, 23, 193, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -82*(-4 - 522\/12). Suppose -2*z - u = -21*z. List the prime factors of z.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/6)*h**(-4\/11)*h*h**(-1\/14)\/(h**(-3\/16)*h) assuming h is positive.\nAnswer: h**(-299\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 4*p**2 + 2. Suppose -3*n - 2*j = -18, -11 = -5*n + 2*j + j. Suppose 1 - n = -3*d. What is the remainder when o(-4) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 + 5*r**4\/12 - r**3\/3 - 487*r**2. What is i(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8641*h**3 + 32682*h wrt h?\nAnswer: -51846*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) -1487 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.7 - 16. Let o = -0.3 + 0.4. Let n = c + o. What is the nearest to -2\/3 in 1, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -340\/547063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 - 40*x + 30*x + 7*x.\nAnswer: -3*x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = 2*z + 2*t, 3*t = -5*z + 4. Suppose z*u = -0*u - 8. What is the tens digit of ((-22)\/u)\/((-12)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*a + 22 + 15*a - 35 + 10 as o*a + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:51 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b)*(305 - 14 - 88 + 262)*(3*b**2 + 2*b**3 - 3*b**2).\nAnswer: 1860*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -19*q + 145. Let i(s) = -6. Let a(x) = 3*i(x) + o(x). Calculate a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0*r + 0*r**4 + 0 - 5*r**2 + 3\/70*r**7 + 0*r**3 + 2\/15*r**5 + 0*r**6. Find the third derivative of f(p) wrt p.\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/22 and -37\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16287, 32546, 48815, 65094, 81383, 97682, 113991?\nAnswer: 130310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1651446 and -16\/825723?\nAnswer: 1651446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from iiaaaiiiiiiiiiiiaia.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 4*m**2 - 6*m**2)*(m**2 - 6*m**2 + 3*m**2 + 2*m).\nAnswer: -6*m**4 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374832281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280144?\nAnswer: 2, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8*4 - 108. Let f = -64 - x. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 5*n**2 + 9*n + 26. Let u be o(-3). Let r = -40 + 29. Is r at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 38. Let v be s(-19). Suppose -r + 2*q + 1 = v, r - 11 = 3*q - 6*q. Solve 3*m**4 + r*m**3 - 43*m**3 + 20*m**3 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(320) + -3)*-6.\nAnswer: -48*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + j + 14. Let v be t(0). What is the third derivative of v*u**3 + 9 + 8 - 17 - 13*u**2 wrt u?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -27. Suppose u*o + 3*t = t - 8, 5*o + 2*t = -8. Suppose 5*i - 445 = -o*i. Calculate the remainder when i is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1843\/((-361)\/19) + 193.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 6*r\/11 + 4\/11.\nAnswer: 2*(r + 1)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 53*m + 6. Is 22 a factor of g(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 9. Let y be s(3). Suppose -96 = -2*r - y*r. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3920871236 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 167 - (277 + -117 - 42)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8558.443 litres?\nAnswer: 8558443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10998312 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/18 + ((-210)\/12)\/7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - -4.91. Let c = s + -5.11. Let i = 0.10903 + c. What is i rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2.5, 6\/5, -11, 0, 1\/2 in descending order.\nAnswer: 2.5, 6\/5, 1\/2, 1\/5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 - 133620*y**4 - 1493690444*y**3 - 5652040722732*y**2 - 719958508965792*y + 1462537132484112 = 0. What is y?\nAnswer: -11091, -134, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 163. What is i(-73)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 - 0.08. Which is smaller: h or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**2 + 1. Let m = -10 + 27. Let n(i) = -m + 0*i + 17 + 2*i. Give n(y(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06742 and 3851088.\nAnswer: 3851087.93258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -5 (c) -14 (d) -0.3 (e) 1079\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 864584 = 13*n + 20*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c - c + (-4 + 3 - 2)*(c + 7*c + 2 + 89*c) in the form g + j*c and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 179*j - 594. Let r(n) = -181*n + 586. Let k(v) = 3*d(v) + 4*r(v). Give k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h**2 + 5*h**2 - 7*h**2)*(2 - 2 + 3)*(-6 + 2 + 0)*(5*h - 4*h - 3*h) in the form j*h**3 + s + v*h**2 + w*h and give j.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:27 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.2. Let n = -207 - -216. Let k be -8*30\/(-80) - (n + -1). Which is the second smallest value? (a) k (b) -1\/9 (c) v (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24573136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104736474.\nAnswer: 2, 3, 19, 306247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.380006709 + -14.38. Round c to 7 decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (465\/(-10))\/((-42)\/(-8)). Let n = l + 269\/28. Put -2, 1\/4, n, 1 in ascending order.\nAnswer: -2, 1\/4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*j = -2, -5081*f + 12 = -5066*f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.091, -0.31, 0?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83652 - -9449. Let i = -74211.00112 - z. Let l = i - -8. What is l rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2360 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/7 + 200*o**3\/7 - 2500*o**2\/7 = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/35*(-10)\/4. Suppose -84*m + 89*m = 305. What is the remainder when m is divided by b\/3 + (-475)\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -25*u. Let q(w) = w**2 - 223*w. Give q(d(v)).\nAnswer: 625*v**2 + 5575*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 415220352*w**2 - 115580379?\nAnswer: 830440704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 1. Let z be p(-2). Let w be (-411)\/z*(-3 - 0). Round w to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 883242488 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 2. Let g(t) = -t**2 + 9*t - 2. Calculate the lowest common multiple of c and g(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 8 = 0, 2*f + 378*s = 375*s + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 423, 424?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkolookpaokokolkok. Give prob of picking 2 o.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-5)\/((-225)\/39). Let n(h) be the first derivative of -3\/5*h**2 - u*h**3 - 4\/5*h - 3. Factor n(x).\nAnswer: -2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24095?\nAnswer: 5, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83055540 by 388110.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f - 29. Calculate n(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -393*t**4 - 199*t**4 + 127 + 104*t**4 - 773 wrt t?\nAnswer: -1952*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1017775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-420.64.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.03 (c) -0.9 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.25 (b) -4\/17 (c) -1.7 (d) 1 (e) 0.3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 174, -72, 2, -15, -2 in increasing order.\nAnswer: -72, -15, -2, 2, 4, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 7*o + 12. Determine r(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*g + 108 = -0*n, 2*n = -5*g + 72. What is the lowest common multiple of 528 and n?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/2 + 13422*c**2 - 1152399*c\/2 - 589622 = 0. Calculate c.\nAnswer: -1, 44, 26801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrpzp. What is prob of sequence rzp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 3*a - 16. Let r be w(2). Put 0, r, -5 in decreasing order.\nAnswer: 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrirfrrrirr. What is prob of picking 4 r?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let l(i) = i + 1. Let j be l(-6). Let w = 8 - 5. Which is the third smallest value? (a) w (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*z = -6, -4*n = -5*z + 27 - 1. Let b(t) = -3*t - 9. Let c be b(n). Solve 2*r + c*w = r - 15, -5*r + 2*w - 7 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 962786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 5*m + 8. Let h be j(6). Solve h*t + t + 5*y - 23 = 0, 3*y = -5*t + 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/13*i**3 - 3900*i + 42250 + 120*i**2.\nAnswer: -2*(2*i - 65)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 716877752*b**6 + 934719339*b**2?\nAnswer: 86025330240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*q - 0*q + 21, -5*m - 5*q = 0. Suppose 4*f + 0 = 24. Calculate the highest common factor of m and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 3, s: 8, l: 1, w: 5}. What is prob of sequence awa?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-21) + 20\/(-60). Let f be (-8)\/(-10)*1\/(-6). What is the nearest to 31 in 0.2, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*w - 11, -5*w - 5*f - 29 = -49 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202486954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*t + 26, -4*t = -5*l - 89 - 0. Let x be l\/(-4) + (-11)\/44. Is 3\/15 - (-1089)\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**8\/1680 + g**7\/840 + 2*g**3\/3 - g. Let f(r) be the second derivative of u(r). Factor f(c).\nAnswer: -c**3*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -16*z + 72. Suppose z*s = -1285 + 4315. Let o = s - 308. What are the prime factors of o?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17714468 and 139484?\nAnswer: 17714468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 18\/6*-2. Let m be ((-10)\/4)\/(6\/b). Let f(d) = -d**3 - 5*d**2 + d + 3. Calculate f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-1 - -1) - (-38 - -4 - -38)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19879 is divided by 4966?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2654316867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from {j: 1, x: 9, d: 1, q: 2, y: 4}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d = 2*o + 68*d + 18, 0 = -3*o - d - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -229\/3400 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238 - -90.75?\nAnswer: -1147.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from shsh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29205 and 2596.\nAnswer: 116820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*v, -y = -4*y - v. Suppose 4*c + 8 = -5*b - 12, b = y. Sort c, 0, -1 in increasing order.\nAnswer: c, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-44)\/18) + 223 + -225\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmm when three letters picked without replacement from mccammmmcmjqjmfm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*d + 35*d**2 + 2 - 33*d**2 to f*d**2 + r + p*d and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + l**4 - 4*l**4 + (-3 - 4 - 36)*(-8*l**3 + 8*l**3 - 7*l**4).\nAnswer: 297*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 5 + 5)*(17*i + 4*i + i)*(-29 + 8 - 14).\nAnswer: 1540*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546720?\nAnswer: 2, 5, 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -293\/5 (b) 3 (c) 399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71931?\nAnswer: 3, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250173196 by -1.\nAnswer: 250173196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j**3 + j**2 + j + 2. Let v be b(-2). Suppose -2*y + 20 = 2*y. Suppose 0 = y*x - v + 25. Solve 0 = 2*r - 5*r - x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(12\/13)\/n)**2\/(n**31*n**(1\/8)\/n) assuming n is positive.\nAnswer: n**(-3149\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:30 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1343 - 0?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195.8 + 200. Round u to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -10. Let s be 7\/(-56) - (-159)\/(-8). What is the units digit of 4 - h\/s*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 53, 76, 109, 152, 205, 268?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 10) + 4 - -6) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-5))\/((-4)\/(-40)*4). Solve -7*i = -b*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -438468821577 - 0.0527.\nAnswer: -438468821577.0527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3*(sqrt(117) + 0 + -5) + -3 + 2 + (sqrt(117) - (sqrt(117)*-1 - sqrt(117))))*1 + 5)*-6)**2.\nAnswer: -206064*sqrt(13) + 1465812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkafnasxx. Give prob of picking 1 s and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.41272ng to grams.\nAnswer: 0.00000007541272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (68\/8 + -1)*(-3)\/(-30). Let g = 9 + -10. Which is the nearest to -0.1? (a) p (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -7 + (2 - (-8 - -16)) + -16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -885, -3554, -7987, -14172, -22097?\nAnswer: -31750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 46530.\nAnswer: 23265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c**2 - 14 + 12 + 49*c**2 - c + 20*c**3 in the form h*c**3 + v*c + f + r*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4022945.631 minus 8.5?\nAnswer: 4022937.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(252) + sqrt(252) + -1 + -4)**2 + (sqrt(252) + -1)*-3 + (-3 + 0 + sqrt(252) + sqrt(252))**2.\nAnswer: -90*sqrt(7) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11 + 81 - 147 + 75 + s. Let v be (2\/1 - 1)\/1. Let f = v - 8. Calculate q(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1442512930 from 0.4.\nAnswer: -1442512929.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)*-2 - (sqrt(190) + ((sqrt(190) + sqrt(190) + (2*sqrt(190) - sqrt(190)))*2 + sqrt(190) - sqrt(190) - sqrt(190))))\/(-4*1*sqrt(490)).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1115\/2007 + 2\/126. Let w(o) be the second derivative of -2\/7*o**3 + 0*o**2 - 9*o + 33\/140*o**5 - 9\/70*o**6 + a*o**4 + 0. Let w(y) = 0. What is y?\nAnswer: -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2900 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111992200 to the nearest integer?\nAnswer: 10583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**3 + 22*x**2 - 31*x - 3. Give t(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6449 + 6444. Let t(l) = 6*l**3 + 3*l**2 + 2*l - 2. Let d(b) = -12*b**3 - 7*b**2 - 5*b + 4. Determine z*t(v) - 2*d(v).\nAnswer: -6*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8732500 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/20452938 and 89\/6?\nAnswer: 20452938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15543000 rounded to the nearest one hundred thousand?\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 32 = -208. Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 4:20 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from cptccpcyyypycccyzz.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 14. Let r be n(-2). Suppose -g - 1 = c, 2*c - g + 1 = r. Suppose c*b + 5*j - 256 = b, -2*b - 3*j = -505. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010002211 - 1?\nAnswer: 1010002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 138, 206?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2541905981 to the nearest integer?\nAnswer: 50417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + 0*u**2 - 4*u**2)*(6*u + 4*u - 4*u) + (-2*u + 4 - 4)*(1 - 1 + 12*u**2) as g*u + c*u**2 + q*u**3 + m and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -52. Let j = 6 - 4. Let m = j + -2.2. What is the closest to -3\/8 in g, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3666*o*p*u**3 + 5*o*p*u**2 + 15*o*p + 5996*o*u**3 - 4*o*u**2 + p*u**3 - 3721*u**2 + 2*u wrt u.\nAnswer: 21996*o*p + 35976*o + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - 9*l + 7. Let m(h) = 11*h**2 + 14*h - 11. Let i(t) = 8*j(t) + 5*m(t). Let y be i(0). Solve 9 = -2*z - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18))\/((-16775)\/68625)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -834, -839, -852, -879, -926, -999?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*r + 1266 = -77, 2707 = -2*s + r. Let x = s + 2623\/2. Find the common denominator of -89\/22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 15*k - 25. Let q be 6\/(-9) - 308\/(-12). Suppose -5*o - 100 = -5*y - q, -2*o = 3*y + 10. List the prime factors of s(o).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 747 divided by 2.\nAnswer: 747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37905 and 30?\nAnswer: 75810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 118 (c) 9 (d) 8\/5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*(-38)\/57.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9890 + 9890 + 272*m)*(3 + 34 - 8).\nAnswer: 7888*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 2 + 3 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o + 6. Let w = -1 + 0. Suppose 0*c - 8 = 4*c. Put c, o, w in increasing order.\nAnswer: o, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 13*l - 12. Let n(q) = 26*q**2 + 312*q - 286. Give 143*c(h) - 6*n(h).\nAnswer: -13*h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (41\/7 + -6)\/(30\/(-70)). Which is the closest to -0.1? (a) s (b) -0.2 (c) -3 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*sqrt(112) - 1*sqrt(7)*5)**2 + 4.\nAnswer: -3146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.34224 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 3*t**2 - 2*t - 1\/2*t**4 - 1\/2.\nAnswer: -(t + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6586 - -320.4?\nAnswer: -6265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k - 331 - 232 = 4 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*h + 26 + 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*5\/((-90)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*o - 5. Find the second derivative of 9*a**5 - 8*a**o - 4*a + 2*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3914 divided by 7639?\nAnswer: 3914\/7639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 9, 7*u - 4*u + 18 = 3*y + u + 5*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 + -8.64. What is the second smallest value in s, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74316314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3767 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 327837 = 327821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a**0*a)\/a)*a**(2\/11)*(a*a**(-1\/3)*a)\/(a*((a*a**(-2\/3))\/a)\/a))**(-26))**(-6\/7) assuming a is positive.\nAnswer: a**(4316\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -401, 22, -1\/3, 0.3, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143)*-1 + sqrt(143))*-6 + sqrt(143))\/(sqrt(704)*-2 + sqrt(11)).\nAnswer: -2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 6*d + 7. Calculate the remainder when z(6) is divided by (-1)\/(1 - 0) + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**3 + 175*f**2 - 937*f + 18450. Determine h(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 = m + 3*v, 0 = -2*v - 10. Suppose 0 = n - 1, -14 = -k + m*n + 12. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1292\/29 - -45568\/1015. Find the common denominator of p and -19\/1302.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 2 (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 104 = -40*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2241, -4481, -6721, -8961?\n\"Answer: -2240*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, i: 1, u: 1, l: 1, p: 2, v: 3}. What is prob of picking 1 u and 2 p?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -503035 + 503035 + 23*q - 76*q**2 - q**4 - 2*q**3 to c*q**2 + j*q + o + p*q**3 + h*q**4 and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:06 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247*a*l**2 - 63510*a - 12*l**2 wrt l?\nAnswer: -494*a*l - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -281, -279, -277?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*t + 1146, -45*c = -46*c - 5*t - 240. Suppose -7*v - 20 = -12*v. Sort v, 2, c in descending order.\nAnswer: v, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3 - 3*a**3 + 12.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421 by -266.\nAnswer: -421\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -3. Suppose 2*i - 126 = c, c = -3*c + 8. Suppose 0 = -2*g + m*g - i. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65.944 + -66. Let x = -0.374 + s. Let p = x - 0.2. What is p rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/832788 and 163\/22572.\nAnswer: 15822972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1286303*b - 614378 wrt b.\nAnswer: -1286303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 31 = -33. Let b = -1 - 4. Let m = b + a. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2450*f + 2500 - 199\/4*f**2 - 1\/4*f**3 = 0.\nAnswer: -100, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176472\/223 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -196975109 divided by -19?\nAnswer: 10367111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 507338830 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57357, 57356, 57355, 57354, 57353?\nAnswer: 57352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -608 (b) -7\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.12949 and -30?\nAnswer: 30.12949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3663*d = -3671*d + y + 28, 3*d + 4*y = 24 + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/4)*m**(-7) assuming m is positive.\nAnswer: m**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166930 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*y + 11, y - 3*y + 3*t = -5. Let x(i) = -6*i**2 + 2*i + 2. Let n(k) = k + 1. Let u(z) = y*x(z) + 4*n(z). Let b(f) = -f**2. Determine b(u(r)).\nAnswer: -144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:18 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1931*r + 1351. Let z be d(-3). Calculate the greatest common factor of z and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2420) - sqrt(20)*2*4)\/(-3*(sqrt(12)\/sqrt(12) - sqrt(4))*-4))**2*-3.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 13*h**2 + 3*h - 4. Let i(c) = -c. What is a(j) + 3*i(j)?\nAnswer: -j**3 + 13*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 304642.63 rounded to the nearest one hundred?\nAnswer: 304600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1555620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeneeee. Give prob of picking 1 e and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59857177 to the power of 1\/2, to the nearest integer?\nAnswer: 7737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 35 + 1. Suppose 3*n - i - 3 = 0. Solve -n*z - 1 + 16 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 1:04 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -258*z + 46. What is the units digit of q(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 + -170.86. Let j = u + -0.14. Sort -2, 5, j in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 4) in base 13?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Suppose 3*r + r + 5*t + 36 = j, 5*r + 58 = -3*t. Let b = r - -45. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 697\/4 (b) 2\/11 (c) 0.2 (d) 1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 822 + -1166. Let g = -324 - z. Calculate the remainder when 30 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -0.2, -1\/3, 4\/41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**3\/3 + 2*p**2 - 8*p - 50. Let g be x(3). What is the greatest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152377\/19397 - -4\/2771. Calculate the common denominator of 47\/5 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + -24 + 12 - (-9)\/(-66). What is the third biggest value in 2, -3, -3\/2, q?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.0287 + -0.0287. Sort -3, h, -0.06 in ascending order.\nAnswer: -3, -0.06, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -105. What is the greatest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16 + 9*o + 7*o**2 - 3*o**2 - 3*o**2. Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t**2\/11 - 8628*t\/11 + 720366\/11 = 0. What is t?\nAnswer: 89, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/157 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11985, 11974, 11955, 11928, 11893?\n\"Answer: -4*y**2 + y + 11988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:18 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(504)*2 + sqrt(504))\/sqrt(9) + sqrt(56)))\/(-2*sqrt(8)*4 - (sqrt(512) + sqrt(32))).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 165*o - 1836.\nAnswer: -(o - 153)*(o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 5:53 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1154.896644 + -2363\nAnswer: -3517.896644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let t(d) = -11477709*d. Give i(t(h)).\nAnswer: -395213411666043*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + -1)*1 - (-2 + 2*sqrt(72) + sqrt(72)).\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -275696, -0.2, 0?\nAnswer: -275696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -516*s + 543. What is b(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 15) in base 12?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 453617*d = -453620*d - 33, -25*d - 11 = y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*a - 2*p = 159*a - 32, -p = 5*a - 115. Solve 14*q + 36 = a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) + sqrt(4455) + -3*(sqrt(4455) + (1*sqrt(4455) - sqrt(4455))) + -3*-1*sqrt(4455))\/(4*(sqrt(330)\/(sqrt(10) + sqrt(640)) + sqrt(33))\/sqrt(3)).\nAnswer: 81*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 84*c + 10. Let p(f) be the second derivative of 83*f**3\/6 + 9*f**2\/2 - 15*f. Let q(t) = -7*p(t) + 6*v(t). List the prime factors of q(-1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 13) to base 11.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3648)\/(-28) + (-4)\/14. Let g(y) = -a*y - 3*y**2 + 130*y. Let l(b) = 2*b. Determine g(l(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 659, 1362, 2067, 2768, 3459, 4134, 4787, 5412?\n\"Answer: -n**3 + 7*n**2 + 689*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 4 + 2656\/(-368))*46\/(-575)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (864\/(-10))\/(4\/(-20)). Is 27 a factor of ((-35)\/70)\/((-2)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -18\/457, -0.01?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1671*u = -3601*u - 193000 for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167623, -336120, -504617, -673114?\nAnswer: -841611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.1, -21, -10, -1\/11, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1088 and 39848?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1452\/(-1936))\/((-3)\/14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 0*y - y - 24*y to the form r + f*y and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*h + 27*h. Let q = 4 + -2. Suppose h = -4*m + q*m + 118. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/120 - 43*o**3\/6 - 34*o**2. Let c(a) be the first derivative of g(a). Let z(y) = 3*y**2. Calculate z(c(r)).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 43 + -6 + -40 + (2 - 2 - 5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 117397672*c + 861388336938724.\nAnswer: 4*(c + 14674709)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**2 - 43*j**2 + 9*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 11 - 3. Which is the nearest to m? (a) -2 (b) 1\/19 (c) 1\/5 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 5, x: 1, f: 3, o: 3, u: 1}. Give prob of sequence fi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.26 bigger than 2555.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -2)\/(16 + -14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 - 2)*(-6*l + 5*l - 14*l) + (-2 + 0 + 3)*(-2*l + l + 0*l).\nAnswer: -181*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2983, 23930, 80793, 191530, 374099, 646458?\n\"Answer: 2993*i**3 - 4*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-6)\/x))\/x**(6\/17) assuming x is positive.\nAnswer: x**(130\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12786 is divided by 12775?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 173760*q**2 + 2084580*q + 6253200.\nAnswer: 5*(q + 6)**2*(q + 34740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122221100 - 102121012?\nAnswer: -1002112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19826, 19705, 19512, 19241, 18886, 18441, 17900?\n\"Answer: -j**3 - 30*j**2 - 24*j + 19881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 16 - (-10 + 16) - 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + 1.99. Suppose w = -10 + 9. What is the fourth biggest value in 0, w, 4, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:31 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -12. Let n be f\/3*(-56)\/6. What is the remainder when (n\/(-5))\/(2\/10) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 371, 377, 383, 389?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623414.2 less than 1131?\nAnswer: -2622283.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 767 = -851 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ae26 (base 15) to base 16\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390177456.\nAnswer: 2, 191, 193, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -0.5. What is the smallest value in 2, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54591 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 589214.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o. Let f be -2*(90\/1395 + 27\/62). Let s(d) = 25*d**3 + 4*d. Give f*s(m) - 4*w(m).\nAnswer: -29*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 less than 102393\/931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22571 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-1) + -4)\/1. Solve 0 = 4*d - s*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/((u**(2\/13)\/u)\/u))*u*u))**6)**(-1\/9)\/((u**(2\/7)*u**0)\/((u*u**(-3))\/u*u**(-4\/7)\/u)) assuming u is positive.\nAnswer: u**(-1480\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 225 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2. Let n(q) = -q**3 - q**2 + q + 2. Let s be n(-2). Suppose -9*m + s = -5*m. Let f(g) = -5 + 2*g + 4 + m. Give v(f(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2921 + -2891. Let a(b) = -13*b + 5. What is the lowest common multiple of h and a(-4)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35684926985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 222. Let m = 252 + s. Let v(q) = 10*q**2 + 3*q + 1. What is the remainder when m is divided by v(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15203616 (base 10) in base 5?\nAnswer: -12343003431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2252*p - 2*p**4 + 2252*p - 38*p**3 + (-8 + 0 + 2)*(7*p**4 + 5 - 5) to o*p**2 + u*p**4 + r*p + n*p**3 + t and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:43 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5413, -21601, -48587, -86377, -134977, -194393?\n\"Answer: -u**3 - 5393*u**2 - 2*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from uuivuiuusin?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -25*g**4\/24 - 2*g**3\/3 + g**2 + 72*g. Let d(m) = -m**2. Give d(s(l)).\nAnswer: -625*l**2 - 200*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60032692 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - 2*v + 9*v - 2*v - 3 + v**3. Let t be b(3). Solve t*q + 0 = -i + 7, 16 = 2*q - 5*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318045 divided by -3495\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/44 + -3 + 2. Let x(f) = f**2 - 4*f + 3. Let z be x(3). Suppose 3*s + 10 = -2*r, z*s - 15 = -4*s + 3*r. Is h > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -248, -1, -18, 4?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*-5*(-6)\/20. Let l(s) = -s - 17. Let k be l(y). Let t be 10*(-1)\/4*k. Solve 0 = b - 5, 4*o + 0*o + t*b - 9 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkivvvkvkvvv. Give prob of sequence km.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u - 303. Let i be g(-44). Suppose 18*a = 14*a + i*v + 5408, 2*v + 1355 = a. What are the prime factors of a?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 297\/18 + 2\/4. Suppose -6 = -q*f + 14*f. Suppose 1\/6*j**5 + 1\/6*j**f + 0*j + 0 - 1\/6*j**3 - 1\/6*j**4 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 12971399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-2 - -1)*1). Suppose q = -5*w + 7 + 3. Solve -3*g + w*j - 8 = 0, -g = 2*j - 0*j + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 + 2*h + 15. Let i be o(5). Let q be 6\/(-2 - i\/(-10)). Solve 0*u + 4*u = -q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 90, 2, 5, -2, -227 in increasing order.\nAnswer: -227, -2, 2, 3, 5, 9, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 0.021?\nAnswer: -0.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 36, 85, 148, 231, 340?\n\"Answer: g**3 - 2*g**2 + 40*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + 5*u)*(-2255*u + 1808*u - 2065*u)*(-2*u + 2*u - 2*u).\nAnswer: 5024*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 977 = 4*q - 916, 2*q = -3*h - 53 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9443 = -2*g, 5669 = 4*j - j + 2*g. What are the prime factors of j?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)\/((d*d\/(d**(-1\/3)\/d)*d)\/d)*(d\/d**(-4\/7)*d)**(-21) assuming d is positive.\nAnswer: d**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315413 divided by -287.\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x - x**4 - 10*x**3 - 4*x + 10*x**3 wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, s: 4, b: 2, p: 1}. Give prob of picking 2 o.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 3*l - 79. Give w(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9340*g - 50 = -9345*g + 15*v, 0 = 2*g - v + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -4*n + 1600. Let m = n + 405. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = -y. Suppose 7 = s - y*s + 4*f, -5*f + 5 = -2*s. Suppose 0 = -k + 1 + 1. Solve -s*u = -27 + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. Suppose -2*t + 5*d = -0*t + 28, 36 = -4*t + l*d. List the prime factors of ((-2)\/t)\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w - 2. Let m = -967 + 965. Put -3, w, m in descending order.\nAnswer: w, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 189 = -10*i. Suppose 0 = -b + 4*b + 57. Let o = b - i. Solve -18 = 2*h + 2*g, g - 2 = -o*h + 4*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 1100*g - 35574.\nAnswer: -2*(g + 33)*(g + 1617)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -1\/170*s**5 - 2\/51*s**4 - s + 150\/17*s**2 + 35\/51*s**3 + 11. Solve m(l) = 0.\nAnswer: -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/304275356 and 109\/55322792.\nAnswer: 608550712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 11 + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*j - 2*u, 7*u - 12*u = 5*j - 260. Calculate the remainder when 2699 is divided by j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31321*v + 45234*v**2 - 15215*v**2 + 40497*v**2 - 31321*v.\nAnswer: 70516*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20126 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 o(x) = -x**2 + 13*x - 8. Let l be (-350)\/20*28\/(-35). What is o(l)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f - 2. Let l be d(-7). Let h = l + 86. Solve 2*v = 2*y - 2*v + 14, -5*y + 3*v = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 + 7*t + 2. Let i be q(6). Suppose 2*p = -3*p + i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12972060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*k + 1897 - 467 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3 + (-4 + 1 + 1)*(-2 + 0 + 4))*(1613*b - 4215*b + 2019*b) to o + a*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 - 33 - 12*g**2 - 12*g**2 - 17*g**2 - 21 + 41*g**2 + 52.\nAnswer: -25*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169905*n + 169844*n + 661 - 3345 = 0 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/10 (b) 318 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-1*1)\/(6*sqrt(8)\/sqrt(4)) + 1.\nAnswer: -sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359855 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 4145*x - 28770.\nAnswer: -5*(x + 7)*(x + 822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**5\/330 + c**4\/44 - 2*c**3\/33 - 75*c**2\/2 + 23. Let f(r) be the second derivative of h(r). Factor f(v).\nAnswer: -2*(v - 2)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2.0842 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -23*x**2 - 66*x - 130. What is j(-2)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(4\/39))**49 assuming s is positive.\nAnswer: s**(-196\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**2\/4 - 675*h\/2 - 1345\/4 = 0.\nAnswer: -269, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43052*c**3 - c**2 - 2*c + 274833?\nAnswer: -129156*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3 + 12. Let -4*g**u - 29*g**3 + 20*g**4 + 0 + 33*g**3 + 0 - 20*g**2 = 0. What is g?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-3\/19)\/(b**(-1\/8))**(-1))**(1\/3) assuming b is positive.\nAnswer: b**(-47\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 511, 1000, 1479, 1942, 2383, 2796, 3175?\n\"Answer: -g**3 + g**2 + 493*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5890 and 192650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-3 + 2) - -39. Let t be d\/(-14) - (3 - 6). Is t <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 77*p - 13. Let c(r) be the second derivative of -13*r**3\/2 + 7*r**2\/2 - 6*r. Let x(w) = 9*c(w) + 4*u(w). Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 14) + (-21 - -20) + (1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -293\/3. Which is the nearest to -1? (a) l (b) 2\/17 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6566*k**5 + 2387*k**2 + 3877*k**2 - 7504*k**5 wrt k.\nAnswer: -56280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 5*x. Let h be m(-4). Suppose 4*p - h = -2*f, -4*f = -p - 0*p + 13. Calculate the highest common factor of p and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/40)\/((-1)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -7 - 2. Let x be (21\/m + 1)*-3. Let c(d) = 6*d - 6. List the prime factors of c(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3290 divided by 14\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b + 4. Let d(o) = -6*o + 2. Let r(a) = -7*d(a) + 3*j(a). Let c be r(2). Suppose -3*w + 5 = 4*l, 0 = w - l - 47 + 36. Solve -c*h - 5 = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/389 and -25\/6.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436088 (base 12) in base 3?\nAnswer: 111020200000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -466*o - 1687. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*3\/6)\/(8\/(-16)). Differentiate 149 + 6 - 347*i**v + 173*i**2 + 174*i**2 + 123*i**4 with respect to i.\nAnswer: 492*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*r**2 - 127 - 8*r**3 - 64 + 17*r**3 - 41 wrt r.\nAnswer: 27*r**2 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let v(i) be the second derivative of 227*i**3\/6 + i + 2. What is v(s(y))?\nAnswer: 227*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1932 times 122086\nAnswer: 235870152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -737501, -737478, -737455, -737432, -737409, -737386?\n\"Answer: 23*f - 737524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36826 and 2?\nAnswer: -0.73652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4842221 + 4842221 - 1036*s.\nAnswer: -1036*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*d + 2*r + 6, 4*d - 8 = 4*r. Let p = 3 - -14. Suppose -3*a + p = 3*y + 2, -5*a + 10 = 0. Solve y*j + 7 + 2 = d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**6\/42 + 9*p**5\/35 - 13*p**4\/14 + 6*p**3\/7 + 27*p**2\/14 - 27*p\/7 + 8. Suppose s(z) = 0. Calculate z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -a - 37, 5*g - 2*g = -3*a + 33. Suppose -12 = -g*j + 2*j. What is the lowest common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/4 + 345*s**2 + 77383*s\/4 + 38001\/2 = 0.\nAnswer: -53, -1, 1434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 51885.09270188 - 51904.0927. Let q = -0.27 - 18.73. Let i = v - q. Round i to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 45, 82?\n\"Answer: 37*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221723 is divided by 66.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -143*p + 2653. Calculate the remainder when 787 is divided by w(18).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -290, -440, -590, -740, -890?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/7 (b) -5229 (c) 2 (d) 1 (e) -17 (f) 0.5 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(-j + 3*j - j) + (-4 - 3 + 5)*(-j + 13*j - 3*j) to the form v*j + i and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 4*l. Let s(h) = 10*h**2 + 12*h. Let i(w) = -9*w**2 - 11*w. Let f(t) = 5*i(t) + 4*s(t). Suppose -z - 2 = -6. Calculate z*f(q) - 7*c(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w + 4. Suppose -15 = -7*r + 2*r. Let c be g(r). Suppose 1 = -5*p + c. Solve 3*h = p*n - 12, n + 4*h + 1 = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 183? (a) -2\/17 (b) 0.2 (c) 4 (d) -0.1 (e) 96\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 22*y + 2396 = s, 596 = y + s. What is the smallest common multiple of y and 275?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 2*c**2 + 2*c - 3. Let o be y(2). Let t be 2\/o*(-3)\/(-2). Solve 0 = 3*f + v, -t*f - 5*v = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 1\/33*y**4 + 0 - 7\/660*y**6 + 3\/110*y**5 - 1\/231*y**7 - 2*y**2 + 31*y + 1\/616*y**8 - 4\/33*y**3. Let f(p) = 0. What is p?\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/(-1) + -1 + -9. Suppose 4*c - 83 = 37. Let u = c + g. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1192*q - 77. Let f(p) = -1192*p + 90. Determine 7*c(n) + 6*f(n).\nAnswer: 1192*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16721 and 15606509?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = -14*t + 2418. Suppose 0 = t*q - 109*q - 792. Calculate the highest common factor of 44 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y*y*y**(-1)*y*y)\/y)**10*y**(-6)*y**(-2\/23))\/(((y\/(y*y\/y**1))\/y*y)**(-25\/4)*y**(-1\/5)\/(y**(5\/3)*y)) assuming y is positive.\nAnswer: y**(16139\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -4. What is the units digit of (-54)\/(-10) - 4\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:31 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 48. Suppose -3*n + n + l = 0. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.020857ml?\nAnswer: 0.001020857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6462.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37566517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 73, -5, -33, 5 in ascending order.\nAnswer: -33, -5, 3, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -122 - 27 - -186 - (1 + 58)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1806, 1803, 1800, 1797, 1794, 1791?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1420)\/(-360) + (-8)\/(1*2). What is the smallest value in n, -3\/2, 2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:03 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = f, 3*f - 16 = -f. Suppose 4*a - 18 = 30. Solve 2*l + q = a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -181*s**9\/252 + 233*s**5\/60 - 2*s**2 + 115*s. What is the third derivative of x(z) wrt z?\nAnswer: -43440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202.774 * -0.047.\nAnswer: 9.530378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20051*t + 2325879. Determine w(-116).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 + -0.3. Let g = a + 2.02. Let u = -1539 - -23087\/15. What is the nearest to g in -1\/7, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.43 + 25. Let o = -0.662 + k. Round o to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.41 (b) -2\/5 (c) 21 (d) 1\/3 (e) -2 (f) 2 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642*w**3 + 434*w**3 + w**2 - 491*w**3 - w**2.\nAnswer: -699*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f*f)**(-43)\/(f**20\/f*f**(1\/9)))**31 assuming f is positive.\nAnswer: f**(-41323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-112 - -116)*(-4)\/32. Let c = -1.99 - -0.09. Let h = -0.1 + c. What is the second biggest value in -1, h, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33436 and 6?\nAnswer: 100308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*z + 60 = 420*z. Sort z, -10, -2, 27.\nAnswer: -10, -2, z, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3028.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times -19\nAnswer: 55.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*s = 2*s, 3*s + 12 = 0. Suppose -7 + 4 = -o. Let l = o + 2. Solve z - 13 = h*w + 2*w, -l*w - 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {e: 1, z: 1, c: 6, n: 6, j: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352157 times -0.6?\nAnswer: 1411294.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5435*j**2 + 4*j - 7. Let g(p) = 2717*p**2 - 2*p + 3. Let k(d) = 7*g(d) + 3*t(d). Let b be k(-7). Round b to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10524434 (base 6) in base 2?\nAnswer: 1001110101110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -17. Let s = -11 - z. Calculate the common denominator of 20\/7 and -2 + s - 267\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-1 - (-1 - -2)). Let g = 3 - v. Suppose h + 15 = -4*d, -g*d - 12 = -3*h + 18. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*u - 16, 2*q - 12 = 3*u + u. Let y be q - -1*(22 + -2). Let z = y - 164\/7. Which is the closest to -1? (a) -2 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times -1.7?\nAnswer: -88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*k = -230, 4*k = -4*t + 5*k - 496. Let a = t - -127. Solve -3*v + 2*m + 22 = 0, -a*v + 1 = m - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 2326639776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-1 - -26) + -78)\/3)\/(2\/6)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 31. Let o(q) = -65 - 6*q + 9*q + y. Let c(k) = 15*k - 9*k**2 + 3*k**2 - 15*k. Give c(o(z)).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1228 and 376.\nAnswer: 115432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)\/(u\/(u*u*u**(-3\/13))))\/(u**(-10)\/((((u\/((u\/u**(-11))\/u))\/u)\/u*u*u*u)\/u*u*u)))**5 assuming u is positive.\nAnswer: u**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 922 + -921.9995898. What is h rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)\/l**(-10)*(l\/(l\/l**(1\/2)*l))**49 assuming l is positive.\nAnswer: l**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60863.63 micrograms to kilograms.\nAnswer: 0.00006086363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7455 - -17894\/7455. Let q = 1325 - 27871\/21. Let f = -419\/105 - q. Calculate the common denominator of p and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -8, -1, 6, 13?\n\"Answer: 7*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*3)**2*-6 + -4)*6.\nAnswer: -151656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*s**5 - 2075*s**4 + 32*s**3 - 65487948*s**2.\nAnswer: -5100*s**2 - 49800*s + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39262200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -3321112020?\nAnswer: -3321111321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 7\/6, 5, 1\/2, 0.04, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45752 is divided by 221.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26637 times 25784?\nAnswer: 686808408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20026?\nAnswer: 2, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590361, -590367, -590375, -590385?\nAnswer: -590397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274840 divided by -54968?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, -10, 3, -2, -3, 4 in descending order.\nAnswer: 4, 3, -2, -3, -10, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602201233?\nAnswer: 37, 16275709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + i + 9 - 19 - 8*i**2 + 10.\nAnswer: -8*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -19 + 68 + -84.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -f - z, z = 411*f - 415*f + 25 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 at most 3366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/16)\/(9\/150). Suppose -18*f - 2688 = -t*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1969 - 4?\nAnswer: -196d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51327454 is divided by 4991?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -34. What is the second smallest value in 6, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45688\/(-102798))\/(2\/(-114)*4)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 84, 82, 42, -48, -200?\n\"Answer: -2*t**3 - t**2 + 41*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hihi when four letters picked without replacement from ikihiklliilhlkiviiak?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 564 or 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 4, -4, -120?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**6\/60 + i**5\/5 + 11*i + 14. Let j(z) be the first derivative of h(z). Suppose j(f) = 0. Calculate f.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 29 = d + 5*t, -2*d - 5*t = -33. Suppose 2*g + 2*g = -5*o - 40, d*g = -2*o - 28. Let c = 7 + o. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*h - 96, 2*h = -5*l + 11 + 81. Let f = -8 + l. Let o = -124 - -154. What is the highest common divisor of f and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-15) - 1)*-5. Let v(x) = 9*x**2 - 1 + x**2 - a*x**2. Give v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -754116.\nAnswer: -6032928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 0*g**2 + 3 + 3*g**2 - 3*g - 5*g**2 as c + d*g**2 + j*g and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1433218295 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6747 - -6752. Let g = 3 - 3.2. Which is the biggest value? (a) 18 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/((1*-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -2 + 4 + -1 + ((-2 + -2*sqrt(405))**2 - sqrt(405) - -1*(sqrt(405)*-2 - sqrt(405))**2).\nAnswer: 72*sqrt(5) + 5270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154 is divided by 247?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7284775 to the nearest integer?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1387109557 - 1387464069.760015. Let c = a - -354512. Let n = c + 0.76. What is n rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90198858.\nAnswer: 2, 3, 101, 251, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -2344?\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*f = 2 + 3, 4*i = -2*f + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0195 in 2\/3, 8, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(0 - -4) + -4. Let r(l) = -l**2 - 3*l - 5. Let o be r(x). Let g(u) = 2*u**3 - 2*u**2 + 2. Let t be g(-1). Sort 0, -5, o, t.\nAnswer: -5, o, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 2 + (41 - (7 + 6)) - (8 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195462 is divided by 59773.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -58, 1, 2, 15, 14 in decreasing order.\nAnswer: 15, 14, 6, 2, 1, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508714072 a multiple of 3404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**5\/80 + l**3\/8 - l**2\/4 + 7*l + 8. Let v(k) be the first derivative of f(k). Let v(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csnzzs. Give prob of picking 1 c and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**9\/504 - u**5\/10 - 5*u**2. What is the third derivative of i(s) wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s**3 - 65311*s + 65310*s - 1 + 0 + 7*s**4 to q*s**3 + a + r*s**2 + t*s**4 + k*s and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 3. Let q = -13 - x. Let o = -71 - -71.3. Which is the nearest to -1? (a) o (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*7\/(-84))\/((-1)\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207 + -69. What is the remainder when u is divided by 2\/(-16) + 16\/((-256)\/(-322))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/18)\/((-27)\/(-162)))\/(-19)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 0.02. Let f = u - 1.02. Sort f, 2\/11, 2.\nAnswer: f, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/7 in -0.5457, -0.1, -4, 26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - p. Let c(q) be the second derivative of 5*q**4\/12 - q**3\/3 - q. Let i(g) = 5*c(g) - 6*u(g). What is the second derivative of i(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k + 6. Let s = -10 + k. Let f(a) = 5*a**3 + 2*a**2 - 1. Let i be f(s). Solve -x = i - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.58984582.\nAnswer: -0.29492291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/(-1 - 3\/(-5)). Let z(t) = -113*t - 17. Let j(b) = -b - 1. Let r(x) = v*z(x) + 2*j(x). Is r(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*a**2*i**3*o - 61105*a**2*i - 12874*a**2*o - 18*i**3 wrt o.\nAnswer: -40*a**2*i**3 - 12874*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6631.\nAnswer: 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + -4 + ((sqrt(1100) - sqrt(1100)*3)*3 - sqrt(1100) - ((-1 + sqrt(1100))**2 + -2)))*3.\nAnswer: -19926 - 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -89*s**4\/2 + 133*s - 233. Differentiate z(i) with respect to i.\nAnswer: -534*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-3)\/(-12))\/(9\/(-54))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22688 + 23283. Calculate the highest common divisor of 935 and p.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (768\/(-3648))\/(((-1320)\/114)\/10). Factor 2450\/11 + j*t**2 + 140\/11*t.\nAnswer: 2*(t + 35)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.4 - 44.4. Let c = -33.5377 - 3.3283. Let o = c - j. What is o rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -765\/23 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 329 = 42 + 961 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705261 (base 8) in base 7?\nAnswer: 4125661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 29 + (-35 - -4 - -20) - 7 - -74.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 10. Let g be q(-4). Suppose 0 = -2*f + 2*u + 10, -7*f + g*f + 16 = -2*u. Solve -1 - f = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173 - 18b810?\nAnswer: -18b659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 3. Let o(p) = -1. Let w be (-1)\/3 - 234\/27. Calculate w*o(q) - 2*l(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 676938 - 676938 - 14679*n as d + j*n and give j.\nAnswer: -14679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((54\/(-480))\/3)\/((-132)\/(-304)) and 85\/24.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 347\/6. What is the nearest to i in 2\/13, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2422 + 2483. Calculate the remainder when z is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-8917.\nAnswer: 89170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 10:50 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 3*x = -13*o + 1, 16 = -4*o - 2*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1064446, 1064449, 1064454, 1064461?\nAnswer: 1064470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -53.3?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 z when four letters picked without replacement from zbflxzqxxxbxxxqzqx.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60c - -3421?\nAnswer: 2b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*b + b - 4, 4*b = -5*o - 4. Suppose 3*m + 22 = -0*j + 5*j, 5*m = b*j - 28. Let k = -43\/7 + 93\/14. What is the smallest value in m, 2, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15342 + 5?\nAnswer: 15347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - 4.8. What is the closest to -1\/3 in a, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -401 (b) -24 (c) 32 (d) -0.8 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 405*d**4 - 581340*d**3 + 26713260*d**2 + 27294192*d = 0. Calculate d.\nAnswer: -402, -1, 0, 46, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.5, 3\/4, 2 in decreasing order.\nAnswer: 2, 3\/4, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3*h**4\/8 - h**3\/2 + 3*h**2 + 10. Let a(o) be the second derivative of j(o). Calculate a(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 18 - 18.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f**2 - 16*f + 115. Is z(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.2, -1, 5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 24*z = 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.7128673 - 5\nAnswer: -6.7128673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4836 divide 933164696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 17*s**2 + 0*s**2 + 8*s**2 + 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + 126\/10. Let a = -2170 + 2222. Calculate the highest common factor of a and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8072, -8064, -8058, -8054, -8052?\n\"Answer: -p**2 + 11*p - 8082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 6. Let x = -1177 + 1180. What is the first derivative of -8*u**4 + x - 2*u**4 - l wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6. Suppose 9 = -w*o - 1. Let s = o + 10. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5798*l - 14619*l + 393751 = -170793 for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/7 of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.1, -112, -4 in decreasing order.\nAnswer: 12, -0.1, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3542)\/518 - -7)\/(2\/66). Let p = 5401\/1998 - o. Calculate the common denominator of p and 17\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 7184120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(1\/2))\/(0 + -19). Sort -2, -5, p in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + -6 + -12 + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36254331611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 12. Let s be (-1 - -1) + 5 + -2. Suppose -3*x = 7 - 1, s*v - 22 = -x. Let a be r(v). Put 2, -1, a in descending order.\nAnswer: 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -0.5. Let t = 74.733 - -0.367. Let p = t - 75. Which is the nearest to p? (a) 0.2 (b) h (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1 + 188*s + 8 - 13. Let u be i(3). Let g be 3 - 4 - u\/(-570). Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2589 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = a - 14, -t + 39 = 4*a. Suppose 2*q + 3*q - 2 = -m, a = q - 3*m. Solve 1 = -z - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1786558 + 3?\nAnswer: -1786555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhvvghvhh. What is prob of sequence hx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -15996?\nAnswer: -15998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 11\/5441?\nAnswer: 11\/5441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*v - 8 = 102*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4862 and 1991?\nAnswer: 880022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d - p, -4*d + 2*d + 4*p = 2. Let v(q) = q**3 + 6*q**2 - 33*q. Calculate the remainder when d\/(212\/(-210) - -1) is divided by v(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -300*k - 4. Let c(d) = 5698*d + 77. What is -4*c(g) - 77*f(g)?\nAnswer: 308*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17473062212 plus -460?\nAnswer: 17473061752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 + 1. Let o be h(-2). Let t = 404 + -350. Let v be ((-2)\/t)\/((-51)\/(-306)). Which is bigger: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10125\/612) + 2\/25\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-56)\/(-210))\/(2\/(-3)). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015950802 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g. Suppose 5*p = 5*u, -11 = -5*p - 2*u - 4. What is the smallest common multiple of 5 and a(p)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-9) - 2)*(16 - 46)\/10. What is the nearest to -2 in f, -3, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*u**3 + 140*u**2 + 235*u - 390 = 0. Calculate u.\nAnswer: -6, -13\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 10. Let p be q(8). Let r(t) = 6*t - 3. Let i(n) = 9*n - 4. Let s(k) = -5*i(k) + 7*r(k). Let g be s(-2). Sort g, -4, p.\nAnswer: -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14)*f*f*f\/(f\/f**(-2\/13))*f)**(-20) assuming f is positive.\nAnswer: f**(2900\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31122736103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.241 and 258902.\nAnswer: 258901.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 12, 10, -3.4 in ascending order.\nAnswer: -4, -3.4, -2, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, i: 15}. Give prob of sequence xx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.2. Let v = -13 - -7. Let p = v + 6.5. What is the closest to -0.1 in 3\/4, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*((-40)\/(-12) + -3). Let s(h) = 8*h**2 - 3*h + 6*h - h**p - 2*h - 9 + 5*h. List the prime factors of s(8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 + 520\/800.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621677892 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9 + 40\/9*l**2 + 23\/9*l + 7\/9*l**3.\nAnswer: (l + 1)*(l + 5)*(7*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 11*g**2 - g**3 - 11 + 6*g + 0*g. Let q be y(11). Suppose -15*o + 18*o - 9 = q. Solve o*j + 5*d - 11 = 0, -2*d + 1 + 1 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2079 is divided by 8*-26*3*1\/(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72408912 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 6*z - 34, 3*z - 14 = 3*k - 3 - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-11 - (-4753)\/434). Calculate the highest common factor of 252 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 + 147650440*k\/3 + 2725081554024200\/3.\nAnswer: 2*(k + 36912610)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/385 + -2 + 24\/10.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 106992, 106997, 107002, 107007, 107012?\n\"Answer: 5*z + 106987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0 - 1\/12*z**4 + 0*z**3 + 0*z**5 + 7\/30*z**6 + 2*z + 0*z**2. What is the third derivative of a(m) wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304\/48 - 18\/3 - (-20)\/(-48)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4902317493 to five decimal places.\nAnswer: 0.49023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24524956931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -189250, -757038, -1703358, -3028216, -4731618, -6813570, -9274078, -12113148?\n\"Answer: -u**3 - 189260*u**2 - u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: (-519)\/(-75) - (-106)\/1325\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*t - 6212, 12*a - 8*a + 3*t = 8301. What are the prime factors of a?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0)\/b*b*b\/(b*b**(1\/5)*b)*b**(-6)\/(b**(2\/5)*b) assuming b is positive.\nAnswer: b**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -9551\nAnswer: -14\/9551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(325) + -4*sqrt(325))*-5 + -5*(-2*(sqrt(325) + 0 - sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325) + sqrt(325)))**2 + 3.\nAnswer: 1592503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1903.2 + 1904. What is the closest to -1 in 0.3, s, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 30*s + 5190. Let n be u(-173). Solve -3*x + 25*x - 22 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/4281 - 8557\/21405. Sort x, 4, 48\/11, 2\/11 in decreasing order.\nAnswer: 48\/11, 4, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = 9*z, 0 = r + 2*z + 2. Solve -c - 5*g + 29 = 0, 1 - 5 = 4*c - r*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let b(u) = 19*u - 3. Calculate b(t) + 4*r(t).\nAnswer: 15*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1256348720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**7\/1260 - u**6\/45 + 3*u**5\/20 + u**4\/12 + 17*u**2\/2 - 37*u. Let l(j) be the third derivative of y(j). Factor l(v).\nAnswer: -2*(v - 1)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1241 (base 7) to base 6\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -81*n - 13. Let c(b) = -40*b - 8. Calculate 4*a(l) - 9*c(l).\nAnswer: 36*l + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 857302104 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-3)\/63)\/(24\/(-4752)*6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -60?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 + 6222*k**2 - 4642*k - 15540.\nAnswer: -2*(k - 777)*(k - 2)*(4*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 573 + -55. What are the prime factors of p?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r - 20*r + 61*r**3 + 62*r**3 + 10*r**3 + 62*r**3 + 43*r - 193*r**3.\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 11:56 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5399 + -3346. What are the prime factors of x?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + -349)\/(8 + -9). Suppose a = -17*c + 338. Let j(h) = 2*h**2 + 4*h + 1. Let x be j(-3). Put -4, x, c, 5 in decreasing order.\nAnswer: x, 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/5 - 6*a**2\/5 - 3*a - 8\/5 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1086417*h**5 - 172*h**2 + 29*h + 49 wrt h?\nAnswer: 65185020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooozogzgozzgogoo. Give prob of sequence zgo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/((-2)\/(-12)). Suppose -3 = -3*v - 3*k, -5*k = -0*v - 5*v - 45. Put -0.4, c, v in descending order.\nAnswer: -0.4, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 35*y**2 - 4. Let a be d(2). Suppose -3*m - 35 = -q, a = 5*q - m - m. What is the tens digit of 1*q*10\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -49*c**6\/24 + 247*c**5\/20 - 157*c**4\/16 - 145*c**3\/4 + 9*c**2\/4 - 882. Let z(g) = 0. Calculate g.\nAnswer: -1, 0, 2\/49, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-1)\/v*v))**(-9))**(-14\/9) assuming v is positive.\nAnswer: v**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 - 1363577240*m - 92967144472300880 = 0?\nAnswer: -136357724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31706084.\nAnswer: 2, 53, 347, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -0.03. Let o = j + -0.2. Let f = 0.2204 - 0.0204. Which is the nearest to f? (a) -1\/9 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79383120 divided by -46.\nAnswer: 1725720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 4.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 12 - 42. Suppose 0*c = -2*c + o. Let h(u) = -c*u + 3*u**2 + 4*u + 0 - 2*u**2 - 7. Determine h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 38 - 206 = -m, 5*m + 40 = c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2 + 3 + 0 - k**2 + k. Let a = 13 - 14. Let l(n) = -4*n**2 + 6*n + 5. Let f(h) = a*l(h) + 5*o(h). What is the second derivative of f(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/3 (c) -36742\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187.4 + -18.6. Let q = m + 201. Which is the closest to -1? (a) q (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13227*x + 13241*x - 26466*x. Let i(h) = -3*h - 251. What is v(i(w))?\nAnswer: -6*w - 502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 19*n**2 + 8*n + 8. Let r = 3816 - 3808. Let y(q) = 13*q**2 + 5*q + 5. Calculate r*y(v) - 5*s(v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 367 = -98*u. What is the closest to -5 in u, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1401*s**2 + 1736*s - 1735. Determine f(1).\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 604?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e82 + -30?\nAnswer: -4eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**4 + 3*z**3 + 2*z**2 + 2*z + 2. Let m(i) = 4*i**4 + 12*i**3 + 8*i**2 + 9*i + 9. Let l(o) = 4*m(o) - 18*s(o). Determine y, given that l(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -10\/141 (c) -99 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnw when three letters picked without replacement from {r: 2, n: 4, w: 8, l: 3, s: 2}?\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4771539 is divided by 95430?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1040, -1039, -1038?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -19*b + 3*b - b + 6 - 12*b. Does 8 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 250 = j, 3*r - 713*j + 95 = -714*j for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2160 and 1280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14.68 or 0.127?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000341983 to seven decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279*u + 281*u + 285*u - 1125*u + 281*u + 13*u**2 - 22 to a*u**2 + z + d*u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by (782\/(-69))\/((-4)\/12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 37. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -117, -154, -215, -306, -433, -602, -819?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 15.969. Let r = a - -0.0271. Round r to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/70227899?\nAnswer: -2\/70227899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1.2\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6195 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**2*q*u + 15*p**2*q - 19*p**2*u + 6*p*q*u + 33*p*q + 2*p*u wrt p.\nAnswer: -4*q*u + 30*q - 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/7 - 1446*l**2\/7 + 22545*l.\nAnswer: 3*l*(l - 315)*(l - 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -18, -26, -50, -96, -170?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 9:57 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93.1 - 99. Let x = 15.1 - 16. Let u = v - x. Sort -3, u, -4\/9 in decreasing order.\nAnswer: -4\/9, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -325*n**2. Let x(i) = 83*i**2 - 6*i + 1. What is x(r(v))?\nAnswer: 8766875*v**4 + 1950*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 0*a**2 - 1 - 3*a**2 - 2*a**3. Let n = -10 - -15. Suppose 3*k + n = 2. Determine w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.3, -61\/23, 32.825?\nAnswer: -61\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -504.04 + 504. Which is the closest to 1\/3? (a) -0.1 (b) -7 (c) j (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -p - 17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 r, and 1 h when four letters picked without replacement from hufuararfuyhyuuf.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -2\/13, -53, -5, -5\/2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 8) in base 11?\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -44*k + 176. Suppose k*m + 7*u = 10*u + 351, -5*m + 2*u = -444. Calculate the remainder when m is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 136\/24 + 1*-5 + 0. Which is bigger: w or 0.084?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 7*j - 3. Let r be u(6). Suppose w - r - 9 = 0. Suppose 22*i + 38 = 24*i. What is the remainder when w is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(704))*-4 - sqrt(704)) + -1*(sqrt(704) - (2*sqrt(704) - sqrt(704))) - (3 + ((sqrt(704) + -2 + sqrt(704))*-2 - sqrt(704))))*-6*4)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 666985 divided by -335?\nAnswer: -1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 71. Suppose -8 = -t - 5*n + 14, 0 = -r*t - 3*n + 22. Which is the closest to 3? (a) -0.5 (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 20*d**3\/3 + 534*d**2 + 424*d - 204. Factor r(k).\nAnswer: 4*(k + 53)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + 484\/16. Let x be 2*-1 - w\/(-6). Suppose 16 + 1 = y - x*i, 5*y - 49 = 3*i. Calculate the lowest common multiple of y and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 5*f = 3*u - 41, -3*f = u + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 5*y - 286 = -565 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:46 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5216 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/46995565 and 50\/17?\nAnswer: 46995565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3410, -7601, -12576, -18335?\n\"Answer: -392*n**2 - 3015*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 26*f**2 - 52*f - 134. What is i(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (4*1*sqrt(70) + sqrt(70) + (-2*sqrt(70)*5 - sqrt(70)))\/(2*(sqrt(10) - (sqrt(10) + sqrt(50)\/(-2*sqrt(5))) - sqrt(10))))*5.\nAnswer: -15 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 332 - 351?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -32*z + 142 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 - 159*u**4 + 56*u + 2.\nAnswer: -20*u**3 - 1908*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)\/d**(4\/9))\/(d**(-12))**(-1\/19) assuming d is positive.\nAnswer: d**(-2065\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -25*v**2 + 1. Let t be d(1). Let s be 0 - (-21)\/15*t\/(-28). Factor -s*p + 6\/5*p**2 - 2\/5*p**3 + 2\/5.\nAnswer: -2*(p - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 5*r**2 + 3*r**3)*(-10*r**2 - 4*r**2 + 0*r**2 + (-3*r + 2*r + 0*r)*(-3*r + 2*r + 2*r)).\nAnswer: -45*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 14. Let c be l(11). Suppose 0 = -z - n + 6, -3*z = -z - c*n + 8. Let d be (-220)\/(-121) - z\/(-11). Solve 3*g - d*g - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**8\/1344 + i**7\/42 - i**6\/3 + 8*i**5\/3 - 11*i**4\/6 - 8*i. Let y(z) be the third derivative of m(z). Factor y(h).\nAnswer: -5*(h - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) 7 (c) -1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4530349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/8 - 4*h**3\/3 - 3*h**2. Let r be z(6). Calculate the remainder when 45\/r - 6\/4 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6076 + 6358 = -94*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181076 - 57079. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.4 - 4.4. What is the nearest to r in 3, -3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/y**(-8))\/y**7*(y*(y\/((y**(-2)*y)\/y))\/y)**(-14\/9))**(-8))**(4\/13) assuming y is positive.\nAnswer: y**(64\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6, 4, 5, 14, -10, -4 in descending order.\nAnswer: 14, 9, 6, 5, 4, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*z = 3563 - 941 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/4 of a century?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:11 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -258 + 748. Suppose 21*y - 3094 = -g. What is the remainder when y is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*z + 5 = -4, -2*v = 5*z - 31. Let f be (-10)\/(-6) - (v + -1). Let g = 1620.15 - 1619.45. Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.78 + -0.5. Let q = -0.48 + g. Put q, 2\/11, 1 in decreasing order.\nAnswer: 1, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*k**2 - 203*k**2 + 102*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4894 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/7*(5 + 7780\/(-12)). Solve 5776 = 7*j + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i**2 - 7*i**2 - 16*i**2 + 31*i**2. Suppose 5*n - 2411 = 2469. Let f(o) = 5*o**2 - 976 + n. Determine f(m(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1034.7 - -1035. Let u = 26 + -107\/4. Sort -1\/2, b, u, -0.8 in descending order.\nAnswer: b, -1\/2, u, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0037 - 2.\nAnswer: -2.0037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -147846 divided by 835?\nAnswer: -147846\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524417 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 13130.\nAnswer: 13130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61715 and 65.\nAnswer: 802295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1079\/271983?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q**2 + 3028*q - 32275. Give d(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10197 - -10450. Solve 46*l - 69 - a = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*p - 15, 6*p + 24 = -4*h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049916 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) 0.01159 (c) -1\/5 (d) 2\/7 (e) 0.1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14123 - 14006. Suppose -39 = -0*u - 3*u. What is the highest common divisor of y and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10882 + -10752. What is the lowest common multiple of 35 and i?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 14 = 0. Let r be 1*(-1 + 0) - k. Let u(d) = -d**3 - 7*d**2 + 8*d + 10. Is u(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32698 + 0.349267. What is h rounded to 4 decimal places?\nAnswer: 0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27762503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2050\/130 - 18)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 52*f - 1390. Put 11, 1, f in descending order.\nAnswer: f, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o - 3. Let u(t) = -t**3 - 4*t**2 + 7*t + 4. Let i(q) = q**3 + 3*q**2 - 5*q - 3. Let v(w) = -4*i(w) - 3*u(w). Give h(s) - 2*v(s).\nAnswer: s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1994031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:33 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 230022?\nAnswer: 223321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 9*c**2 - 9*c - 1. Let v be h(7). Let y(m) = 7*m**3 + 359*m**2 + 102*m + 34. Let r be y(-51). What is the greatest common divisor of r and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/5 - 4*v + 264\/5.\nAnswer: -4*(v - 6)*(v + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -196604*t**2. Let f(o) = 26*o. Determine f(v(s)).\nAnswer: -5111704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(0 + 1)*(-1140 - 11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f\/(f\/(f**(-2\/5)*f))*((f\/(f\/(((f*f**(-1\/2)*f)\/f*f)\/f))*f*f*f)\/f)**(1\/58) assuming f is positive.\nAnswer: f**(-1947\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13960 and 266985.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 12*i + 11*i + 18*i.\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 238296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78964, 78970, 78976, 78982, 78988, 78994?\nAnswer: 79000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37873021*o**4 - 2124*o**2 - 5000*o + 2 wrt o.\nAnswer: -908952504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/9 + 160*h**4\/9 + 9904*h**3\/9 - 422636*h**2\/9 + 3473746*h\/9 + 3906124\/9 = 0.\nAnswer: -62, -1, 17, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**3 + 5399*p**2 - 67*p + 13. Let z(j) = 19*j**3 - 5398*j**2 + 67*j - 25. Let a(l) = -7*u(l) - 6*z(l). Find the second derivative of a(x) wrt x.\nAnswer: -12*x - 10810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/24)*1. Let z be (-15)\/i - (-3)\/12. Let x(b) be the second derivative of 3*b**5\/20 + b**4\/6 + b**3\/6 - 19*b + 2. Determine x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*x + 1 = -7*x, 12*t - 21*t + 13*t + 3*x - 37 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 114*t + 2931. Let x be b(-75). Solve -o = 0, 0 = -z + x*z + 5*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 27 + 16 + 7*o to j*o + m and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 21*j**2 + 35*j**2 + j**3)*(j - 2*j + 2*j).\nAnswer: -j**4 + 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -3. Let w = 6.19 + 0.11. Let z = w + -6.3. Which is the closest to 1? (a) q (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3402.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39634594 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:31 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 81003.\nAnswer: 1215045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/k**(1\/2)*((((k*k\/((k**0*k)\/k))\/k)\/k)\/k)**(-19) assuming k is positive.\nAnswer: k**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 237, 215, 183, 141, 89, 27?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(1 + 5 - 1)*(-2*j + 2*j - j)*(16*j - 5 + 5).\nAnswer: -160*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23.918 times -6.667\nAnswer: 159.461306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3 + 4016\/(-1340)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/144 + i**5\/120 + 7*i**4\/3 + 12*i. Let x(c) be the third derivative of u(c). What is x(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5.57 (b) -1\/4 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47929 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let p(y) = -y - 1. Let l(r) = 24*r + 22. Let g(f) = -2*l(f) - 44*p(f). Calculate m(g(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {n: 5, o: 3, f: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:56 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 7923\nAnswer: -1\/2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2016135, -2016133, -2016145, -2016177, -2016235, -2016325?\n\"Answer: -j**3 - j**2 + 12*j - 2016145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.873 and -0.1267.\nAnswer: -0.9975091","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.480807 decades to years.\nAnswer: 24.80807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127122438 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328\/7 + 48. Is 1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2. Let r be w(2). Suppose 10*v = -678 + 728. Solve -3*b + 4*z + 19 = 0, -b = -r*z + z - v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 385 = 2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85.3 - -81. Let l = -4.1 - u. Suppose 4*a - 5*c = 0, -2*a - 5*c - 35 = a. What is the smallest value in l, -0.08, 2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.23 and -9.6.\nAnswer: -21.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12746 less than -12869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = 2*d, 0 = o + 31*d - 28*d + 3. Which is the second smallest value? (a) o (b) 33 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 9798?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 10*b - 9 - 4*b in the form t + k*b and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = r - 81, 4*b + 5*r - 29 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 171\/(-27))\/((-8)\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 11, -83, -4, -1929 in decreasing order.\nAnswer: 11, 6, -3, -4, -83, -1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 4*m**2 - 5*m**2)*(2*m**2 + 2*m - m + 0*m - 2*m**2 + 3*m**2 + 0*m**2 + (-m + m + 2*m)*(m + 3*m - 2*m) + 2*m**2 + 0*m**2 - m**2).\nAnswer: -16*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 15921 - 15849 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -34, -7, 20?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5 - -1) + -1 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88475073, 88475074, 88475075, 88475076, 88475077?\n\"Answer: w + 88475072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 3258?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*9\/18)\/((-1)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(32) - (sqrt(2) - (sqrt(100)\/sqrt(2))**2).\nAnswer: 3*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.918 from -2636840971.\nAnswer: -2636840971.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 1\/2*c**3 + 9*c + 9 + 1\/12*c**4 - 2*c**2. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4242 + 4846. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -1477 + 1474, -l = 4*n + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 40. Calculate r(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -46.2. Which is greater: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i - 1. Let r be d(-1). Let q be (-1 + 4)\/((-3)\/(-2)). Let c be 0 + (2 - q\/2). Is r < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 195, 198, 201, 204, 207?\n\"Answer: 3*u + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 - y - 2. Let b be q(-3). Suppose -4*s + b = a + 6, -5*s - 6 = a. Let u(r) = -161*r**3 + r**2 + r. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9856 - 291*k**2 - 10512 - 411*k**2 wrt k?\nAnswer: -1404*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-23)\/(5313\/44))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 508 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dawq when four letters picked without replacement from {a: 2, z: 6, q: 1, w: 8, d: 1}?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 2. Let l be y(-7). Let x = -45\/2 - l. Which is the closest to 1? (a) 5 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15355093 is divided by 5184?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12531.\nAnswer: 3, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2 - 2) + -2. Let g = t - -7. What are the prime factors of 1\/(2\/20*g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*4\/6)\/((-232)\/(-348))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r - 3*r + 3*r)*(-2*r**2 + 0*r**2 + r - 3*r).\nAnswer: 44*r**3 + 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-16)*20 - -6) + 132. Solve 7 = -27*s - b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -61*x + 1. Suppose d + 4 = 2. Is c(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k + 5. Let g be -4 + 1\/(11\/42). Suppose 0 = 5*n + 5*o - 40, -n - 4*o + 2*o = -13. Which is the nearest to k? (a) 0.4 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6800 + 4189 - 1477 = 232*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 21 + -7 + -42?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4\/2 + 12*j**3 + 18*j**2 - 48*j - 96 = 0. Calculate j.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 22*u + 24. Give v(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5031838306 to five dps.\nAnswer: -0.50318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 20. Suppose 0 = 2*j + 27 + 17. Let d be j\/(-99) + 691\/t. What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 + 2773c?\nAnswer: 27716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181955959 is divided by 3244.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*c**2*l**2 + 34419*a*c**2*l - a*c*l - 112*a*l**2 + 17508*c**2*l**2 + 2*l wrt l.\nAnswer: -6*a*c**2 - 224*a + 35016*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -817 + 817. Suppose -2*n - 2*p = -62576, -2*n = -b*p - 3*p - 62561. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/48)\/((-72)\/(-192))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 20\/31 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -1156, -2605, -4634, -7243?\nAnswer: -10432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3243, -3242, -3241, -3240?\nAnswer: -3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyrrscxsg. What is prob of sequence sy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92797907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83.475613008 - 0.175102008. Let l = p + -83.3. What is l rounded to five dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31332101 (base 4) to base 8\nAnswer: -157621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 44 + (-5 - 78).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.4. Let m = 1.2 - d. Let v = m + -0.7. Put v, -1, -5 in ascending order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.728 + 2.728. Which is the third smallest value? (a) -3 (b) k (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 6\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 9683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*u + 22260000 = 284*u. Round u to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1167 + -1145. Calculate the smallest common multiple of x and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0682 and -742943.\nAnswer: -742943.0682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 839564585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/11? (a) -0.1 (b) -3 (c) 343 (d) 0.3 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghgggghghhgkgkhg. Give prob of sequence khh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1\/1) - -2. Let m(c) = 0*c**u + c**2 + c**2. Let j(n) = 3*n**2. Determine m(j(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349229283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/92 or -1\/109?\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 43*x - 4. Does 24 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 0*t**2 + 0*t**2)*(-7 + 23 + 8).\nAnswer: -96*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2138, -8619, -19400, -34475, -53838, -77483, -105404?\nAnswer: -137595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9556 or 429986\/45?\nAnswer: 9556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71265323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218*a = -1197*a - 630 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*n = 40, -211554*n + 211559*n - 10 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318920 is divided by 152?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v - 10 = 0. Let h be 30\/4*4\/v. Let i(n) = -2*n**3 - 11*n**2 + 4*n - 5. Let j be i(h). What is the greatest common factor of 56 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681307743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 7779 and 7780 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 161 = -18*q - 91, 0*l = -0*l - 7*l + 5*q - 17 + 87 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 3*w, 4*w + 13 = 3*v + 5*w. Suppose 0 = 19*k + 236152 - 236152. Solve k*c = 4*c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 + 178*p - 2372. Determine g(39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16815)\/(-11800))\/((-12)\/(-32))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:30 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-21)\/2)*18\/(-60)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*n + 2, 5*n = 4*c - 4 - 0. Let k be (n - 1) + 2 - -2. Let a = -3 + 8. Solve 6 = a*h - k*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/3))**(-34)\/((f\/((f*f*f*f**(2\/13)*f)\/f))\/(f*f**(-2)*f*f)))**(-1\/22) assuming f is positive.\nAnswer: f**(29\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4)*-2*(-5)\/(-65).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646650 is divided by 377?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - -0.6. Let r = -4\/149 + -137\/447. Sort b, 0.4, r in ascending order.\nAnswer: r, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 - 3*q - 6. Determine k(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103\/408 - -3065\/11832. Let x = -9\/58 - p. Put x, -2, -10, 4 in ascending order.\nAnswer: -10, -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(136)*-2)\/((sqrt(96)*2 + sqrt(96) - sqrt(96))\/sqrt(12)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 508995 from -17075.\nAnswer: -526070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218262941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-272)\/102)\/(2\/(-18)). Suppose 4*g - h = 12*g. Is -8\/3 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(18\/5))**(4\/23)\/(j*j**(-2\/11)*j*j**4))**(-37) assuming j is positive.\nAnswer: j**(243016\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 27*a - 448. Calculate p(21).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182.25 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 104 + (-4)\/(-4). Let i = -95 + b. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h - 12 = 0, -4*z + 2*h = -1060. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**21\/(u**(-6)*u\/(u**(-1\/7)*u)) assuming u is positive.\nAnswer: u**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2287 and -2287 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173546145 or 173546138?\nAnswer: 173546138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141956994?\nAnswer: 2, 3, 23659499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/((n*n*n**(2\/5))\/n))\/(n**(-2\/5)\/n))\/(n*n\/(n**(-4)*n)*n*n**(-1)) assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -258 - -342. Let x be (-105)\/k*-2*2*5. Solve -4*i + l = -2*l + 20, -5*i = -3*l + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4849087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 490?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmokkuodmotottu. What is prob of sequence ko?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 390\/293 - -2\/879. Factor i - 2\/3*g**2 + 2\/3*g.\nAnswer: -2*(g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1068 and 7.149.\nAnswer: -1060.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1094.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.39927 (b) 1\/3 (c) -2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 186\/47, -2\/23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.8 (b) -2 (c) -2\/1063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmscgnszzgssmgms. What is prob of sequence nmgs?\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 47*i = -32*i + 23040. What is the least common multiple of i and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmfmfm. What is prob of picking 3 f?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1650978 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 7431 = -7575 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*r**2 - r + 150 wrt r.\nAnswer: -172*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttnvvvtnttttvvv. What is prob of sequence ttnn?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2459, -9679, -21713, -38561, -60223?\nAnswer: -86699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 2262?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6543060 and 2.02.\nAnswer: -6543057.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -131303, -131302, -131301, -131300?\n\"Answer: o - 131304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 7*o**3\/6 - 20*o**2 + 127*o\/2 - 26\/3 = 0?\nAnswer: 1\/7, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -130. What is the first derivative of -q*u**2 + 4 + 37*u**2 + u**3 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -11, -18, -27, -38, -51, -66?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2*o - 2. Let c = -23 - -22. What is n(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 + -3.4. Let i be (0 - 2\/4)*-22. What is the second biggest value in i, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49\/87 - -3\/29. Let z = -0.28 - 0.22. Which is the second smallest value? (a) z (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40576*c + 39672 = -40924*c for c.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*2\/16*(168\/49)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7 - 9 - 1 - t**2. Let h be r(0). Let c = 2 - h. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m = 2*r - 902, 0 = 4*m + r - 905. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 9996?\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81, 179, 311, 477?\n\"Answer: 17*a**2 + 47*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 137 - 65 - 72.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -69*b**2. Let w be (-66)\/(-44)*(11 - 3). Let n(k) = -6*k - 3*k + 27*k - 5*k - w*k. Give n(l(a)).\nAnswer: -69*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s**2 - 68*s**2 + 4*s**2 + 406*s - 205*s - 201*s + 9*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, 3, 6 in increasing order.\nAnswer: -4, 2\/11, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -157, 34, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 31089 = -4*q - 1622, 2*x - 22079 = -3*q. Is q 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 {v: 4, x: 1, h: 3, q: 2}. Give prob of picking 1 v and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.1 - -16.4. Which is the second biggest value? (a) 1\/9 (b) i (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*w + 119*w + 19*w + 188*w + 28*w to the form z*w + q and give z.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from phhphppchqhdephce?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) -0.7 (c) 0.3 (d) -9 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 1, i: 1, u: 4}. What is prob of sequence jiu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -161 = -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14003 (base 5) to base 12.\nAnswer: 7a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in 5, -0.3, -3651\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 5*i - i)*(3 - 2 - 3) - 382*i - 506*i - 1165*i to the form h + w*i and give w.\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 2*o + o + (5 - 5 + 2*o)*(-1 + 2 - 14) to f*o + n and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-23 + 8 + 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-40)*1*5. Let h be 1*((-2 - -5) + -2 - c). Suppose n + 48 = h*n. What is the least common multiple of n and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -49*i + 505744 + 363610. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m = 35*m + 28. Let u(j) = j + 3. Give u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) 4 (c) -4 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11211, -11634, -12045, -12438, -12807, -13146, -13449?\nAnswer: -13710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9640 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 8*r**2 + 4*r + r**2 + 52*r**3 + 18 + 0*r - 51*r**3. Give x(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let b = -27 - -39. Suppose 3*r - b = -3*r. Let j(m) = r*m + 11*m**2 + 0*m - 2*m. What is w(j(y))?\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 223810361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3 - 23157*l**2 - 23148*l + 46308 = 0?\nAnswer: -7718, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 3162?\nAnswer: -948.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -11803b?\nAnswer: 118040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.105 * -0.16.\nAnswer: 0.3368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13014 (base 6) in base 14?\nAnswer: 9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13149, -52720, -118703, -211104, -329929, -475184?\nAnswer: -646875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 3*g = -12*c - 3, 0 = -3*c + 4*g - 7. Let z = -3 - -5. Suppose -z*s = 2, -c*s + 85 = b - 4*s. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.3. Let i = 0.1 + k. Suppose -3 = 5*j - 8. What is the nearest to j in 5, 5\/4, i?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = -2. Let l be 3 - (29 - b)\/(-1). Calculate the greatest common factor of l and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-21) + 32\/14. Let r(y) = 5 + 14 + l - y. Let w be r(0). Solve -5*n - w = -3*n + 5*a, n - 12 = 5*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {a: 6, y: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**3\/12 + 17*a**2\/4 + 33*a\/4 - 1611. Solve m(f) = 0.\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133.9 + -133.5. Let w be (3\/18)\/((-2)\/52). Put a, w, -0.5, -5 in ascending order.\nAnswer: -5, w, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5996\/9 + 670. Find the common denominator of 7\/12 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11552*a + 11403*a = -4*v + 133, -v - 4*a = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -139. Which is the nearest to v? (a) 0.03 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7191 and 3961?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.167229 micrograms?\nAnswer: 0.000000003167229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1243, 1199, 1119, 997, 827, 603?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.02, -0.232, -0.4, -1771?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(300) + 3*sqrt(300)) + sqrt(300) + -5 - (sqrt(300) + 3 + -1 - sqrt(300) - sqrt(300))*-1)**2.\nAnswer: -960*sqrt(3) + 76809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let x(k) be the second derivative of -k**6\/720 + k**4\/6 + 3*k. Let r(j) be the third derivative of x(j). Calculate m(r(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3726090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*z**0)\/z)**(-19)\/(z*z*z**(2\/9)*z*z*z**1\/z) assuming z is positive.\nAnswer: z**(-380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4327 = -2*p - 4323. What is the highest common factor of 14 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Suppose -w + 3 = m, u*w - 4*m - 9 = -3*m. Solve w = -l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 21 - 5 = 0. Suppose -4*h + 7*h = -60. Let a = h - -32. What is the remainder when a is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = 4*r + 2*z - 68, 0 = -2*r - 5*z - 303. Let v = -141 - r. Solve -3 = v*p - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/105)\/((-2)\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -113316 and -453261\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2856 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18753604 is divided by 194.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 34977623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 95*l + 14. Let o(u) = 63*u + 9. Give 5*f(i) - 8*o(i).\nAnswer: -29*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 11*g - 9. Let d(a) = a**g + 2*a**2 + a**2. Let q(l) = 27*l**2. Give d(q(m)).\nAnswer: 2916*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/4 - 67*n\/4 - 204 = 0. Calculate n.\nAnswer: -51, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -181*a - 1010. Give z(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 295003511689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 1.8. Let q = -0.8 - m. Let s = -6 - -9. What is the third biggest value in 2, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*f + 26 = 0, -4*f = -4*a - 6 + 30. Suppose 3*r - 632 = -d, -4*r + 840 = -3*d + a*d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*b - 4*i - 15, 0 = -2*b + 4*i + 16. Let g be 2\/(-3)*3 + b. Solve -g*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -101. Which is the third biggest value? (a) j (b) -3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328*m**3*n + 274*m**3 wrt n?\nAnswer: 328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/(114\/(-95))*(-54)\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -23*y**3\/6 + y. Let d(h) = -9*h + 4. Let c(l) = -2*l + 1. Let q(v) = 4*c(v) - d(v). Determine r(q(t)).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**2 + r + 2. Let x be y(-1). Let u = x + -9. Let k(c) = c**2 - 5*c - 6. Let j be k(6). Solve j*w - u = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -62.8. Round z to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/30)\/(2\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6923011 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10)*35\/(-7). Find the second derivative of 29*x**3 + 2 + 0*x**3 + 9*x**3 + f - 22*x wrt x.\nAnswer: 228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742932753 to the power of 1\/2, to the nearest integer?\nAnswer: 27257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 672*r**2 + 31*r + 123. Let x(o) = -480*o**2 - 22*o - 87. Calculate 12*k(m) + 17*x(m).\nAnswer: -96*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 19 + 10*w**2 + 6*w**2 + 7 + 15*w**2 + 11 as i*w**3 + k + z*w**2 + n*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7840 - 5256. Let z = 2583.97862 - k. Round z to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -6. Let b be (-100)\/(-70) - u\/(-7). Let i be 7\/(b*4\/28). What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 1131531.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 21. Find the common denominator of (-14)\/i*37\/2 and (265\/180 - 5)\/((-2)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 268 = 4*z, 0 = 3*l + z - 3 - 834. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-556)\/52 + (10 - 5 - -6)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -25*z**4\/2 + 2*z**3\/3 - 3*z**2\/2 + 2*z + 13. What is the second derivative of k(n) wrt n?\nAnswer: -300*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-84) + 11\/(-33). Let m = 0.12 - 0.02. Which is the closest to m? (a) -1\/4 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38907 and 4247937.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4, 49, 3 in increasing order.\nAnswer: -4, 0, 1, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 + 30 = 0. Suppose -5*o + 25 = 0, -5*o = 4*w - 7*w - h. Suppose -3*z + 59 = -4*y - 200, -5*z - w*y = -451. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -46 (c) 4\/7 (d) -2\/11 (e) -2264 (f) -140 (g) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586*p**2\/13 + 2934*p\/13 + 2360\/13 = 0. Calculate p.\nAnswer: -4, -295\/293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-650)\/(-260))\/((-24)\/246)*(-12)\/5)\/(-6).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15953*q**2 - 725 - 15934*q**2 + 725.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -35*g - 44. Factor -4\/7*n**g + 8\/7 + 4\/7*n - 8\/7*n**2.\nAnswer: -4*(n - 1)*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*s + 121*l**2 - 9*l*s + 191*s - 1 wrt s?\nAnswer: -l**2 - 9*l + 191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 3*h. Let p(l) = 2*l**3 + 2*l. Let y(x) = -x**3 - x. Let k be (-64)\/(-32) + (-8)\/6*-3. Let b be -18*(k\/(-18) + -1 + 1). Give b*y(t) + h*p(t).\nAnswer: 2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (16 - 19) + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*j + 11, -5*j + 20 = l + 4*l. Let p(x) = l + 34*x - 88*x - 1. Is p(-1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 2. Let a be j(4). Let k(r) = r**2 + 6*r + 2. Let m be k(a). Solve -6 = 2*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/18*117\/(-455)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*t - 106 = 7, -3*h + 4*t - 79 = 0. Let n(m) = m**2 + 26*m + 99. Let b be n(h). Let o(r) = r**2 + 7*r + 9. Calculate o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = -11. Suppose -g*b = -0*b - 40. Let p = -4 + b. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and 5\/15920278.\nAnswer: 63681112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) - (-2*sqrt(105) + sqrt(105))*2)\/sqrt(5))\/(sqrt(112) - 2*-1*sqrt(112)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**3 + a**2 - 340689. Let b(j) = -5*j**2 + 5*j + 1. Suppose k = 4*k + 15. What is k*z(l) + 2*b(l)?\nAnswer: 5*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 417173917 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h**5)**2 assuming h is positive.\nAnswer: h**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -26*w**2 - 16*w - 16. Suppose 4*b + 3*g - 4*g + 241 = 0, -3*b - 185 = -5*g. Let m = 57 + b. Let z(y) = 5*y**2 + 3*y + 3. Calculate m*j(d) - 16*z(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v. Let n = -19 - -34. What is the remainder when y(-7) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000088436 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lih when three letters picked without replacement from lvvhihihifhivvv?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1339 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-8))\/((-2)\/(-44)). Let z be (-64)\/(-3) + 4\/6. Suppose k = 5*x - z. What is the greatest common divisor of 99 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1138045 by -1138045.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 34341854.\nAnswer: 5\/34341854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 1, b: 2, o: 5, k: 4, a: 5}. What is prob of sequence op?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.002 - -2417.222. Let i = 2487 - l. Let t = 83 - i. Round t to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 36*q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 26*z**2 - 25*z + 57. Let b be d(-27). Let i(m) = b - m - 3 - 4 + 1. Calculate i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 266 - 255. Calculate the greatest common factor of 352 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -20. Suppose 0*p - p = 1. Let a = p + h. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7688772.92 plus 1.29?\nAnswer: -7688771.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207188935 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d + 0 + 1\/105*d**6 - 1\/14*d**5 + 1\/7*d**4 + 4\/21*d**3 + 17*d**2. Factor l(r).\nAnswer: 2*(r - 2)**2*(4*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*i - 1 - 53, -3*i = 6. Suppose 4*r = -r + u. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17560 is divided by 7954?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 378 + 378.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 24 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -181*w**3\/3 + 218*w + 16. Find the first derivative of z(c) wrt c.\nAnswer: -362*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41104703 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + q**2 - 2*q + (0 + 0 + q)*(3*q + 0 + 0) + 39*q**2 + 7*q**2 - 3*q**2 in the form t + o*q**2 + a*q and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530 a factor of 1970624590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5817)\/(-39) - 12\/78 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/41? (a) -0.4 (b) -127\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from csrrrqcrrc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 5*q**2\/2 - 40*q - 57. Let d be y(12). Calculate the greatest common factor of d and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziibizzziisiiz. What is prob of sequence is?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 7*q - 1. Give l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 3 + 2*x**2 + 0*x**2 + (-3*x**2 + 4*x - 4*x)*(2 - 1 - 2).\nAnswer: x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5126280 by -854380.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:05 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 344420 divided by 5?\nAnswer: 68884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = x + 8*j, -2*j + 136 = 2*x - 4*j. Solve 76*q = -4*i + x*q + 8, -6 = -3*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1.22 (c) -403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mttm when four letters picked without replacement from tptttptmm.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 + 1177 = -121*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518 divided by -229.\nAnswer: -1518\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -952 - -1958. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -17. Let b(a) = 3*a - 2. What is the smallest common multiple of l and b(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 1776*i + 1774.\nAnswer: 2*(i + 1)*(i + 887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/68688 and 47\/524700.\nAnswer: 18889200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1407 and 10944249?\nAnswer: 76609743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 510\/(-50)*5*(1 - 0). Let k = 49 + s. Let j(q) = 2*q**3 + 4*q**2 + q - 2. What is j(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -43.6, -4966, -4 in ascending order.\nAnswer: -4966, -43.6, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130925\/9 - -14547. Sort t, -2.1, 1\/5 in descending order.\nAnswer: 1\/5, t, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 961 - 1076 - 3*s in the form f + h*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p + 2. Suppose k = 1 + 1. Let t be f(k). Suppose t*x - 5*c + 12 = 0, x + 2*c = 2*x + 6. Solve 11 = h - 3*g, -2*h + 5*g + 10 = x*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(0 + sqrt(1331) - sqrt(1331)) + -5 + 0 + sqrt(1331) + (sqrt(55) + sqrt(220)*3)\/((sqrt(110)\/sqrt(2))\/sqrt(11)))**2.\nAnswer: -540*sqrt(11) + 10767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1742 + -1703. Which is the second biggest value? (a) -2\/25 (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748148 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5562 and 1\/(-18)*1580\/(-237).\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -414*a**5 + 9360*a**2 + 268*a**3 - 107*a**4 + 412*a**5 - 270*a**3 wrt a.\nAnswer: -120*a**2 - 2568*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77b2 + 2?\nAnswer: 77b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5622923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 39*x**2 - 1689*x - 5035. What is s(-3)?\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1760564 = 3*k, -849251 = -5*k - 5*m + 2085029. What is k rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 16*o + 7. Let n(p) = 2*p - 1. What is d(f) + 6*n(f)?\nAnswer: -6*f**2 - 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 90 = -35*m. List the prime factors of ((-3412)\/6)\/(m\/(-15)).\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12\/(-9))\/(12 + (-4569704)\/380799)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11778283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -199, -644, -1505, -2920?\nAnswer: -5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 2. Let z = v - 13. Let t = -12.999971 + z. Round t to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-100)\/75 + (-1)\/(-3)). What is the second smallest value in -2.3, 5, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -90*s**5 + 5*s**4 - 4*s**2 + 3*s + 349. Let o(j) = -j**5 - j**4 + j**2 - j. Let r(k) = -d(k) - 3*o(k). Find the third derivative of r(g) wrt g.\nAnswer: 5580*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.417541 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2248380 divided by 5\nAnswer: -449676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33291, 37611, 41931?\n\"Answer: 4320*y + 28971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 6*x**2 + 2*x**2)*(x + 3*x - 2*x)*(-3*x + 1 + 2*x + 0).\nAnswer: -18*x**4 + 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332209?\nAnswer: 71, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 575 + -573. Suppose 0 - 3\/4*r**4 - 15\/4*r**f + 3*r**3 + 3\/2*r = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2 + 1634538*m - 9807300 = 0.\nAnswer: -817275, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 39*y - 3*y**2 + 61 - 21 + 39*y in the form g*y + l + j*y**2 and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74450.63 minutes in milliseconds?\nAnswer: 4467037800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17)*-4)**2 + sqrt(17))*-4 + (sqrt(612) + -2 + sqrt(17) + (sqrt(34) - (sqrt(34) + sqrt(306) + sqrt(34)))\/sqrt(2))**2.\nAnswer: -16*sqrt(17) + 3421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 9 - 18 + i. Let g be a(-9). Solve -4*j - 4*b + 10 = -2*b, 2*b + 10 = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 13*j + 292. Let a be t(-24). Which is greater: a or -1123?\nAnswer: -1123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjcwhjgwwjxxcj. Give prob of picking 2 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -859583839*i**2 - 827330045*i?\nAnswer: -1719167678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let d = -1.2 - -10.7. Let v = 10 - d. Which is the second smallest value? (a) v (b) i (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - 50\/(-60). Let i be 32\/14 - 4\/14. Factor 1\/2 + w + y*w**i.\nAnswer: (w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 plus -0.24?\nAnswer: -21.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35086 and -0.048069?\nAnswer: 35086.048069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/34*4\/6. Let b = -244845\/34 - -7202. Let z = d + b. What is the second biggest value in -2\/15, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*b = -b + 4, -21 = -3*x - 3*b. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**4\/24 + x**3\/9 - 4. Factor t(r).\nAnswer: r**2*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*v + 5*q - 94852, 3*v - 71139 = -3*q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0 + 0*y**2 - 6*y + 85000\/3*y**3. Let d be l(10). What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 641918106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 11*t + 104. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -10. Suppose f*q = -q + 6. Let z(l) = -l**2 + 7*l - 5. Let r be z(q). Let x(g) = -g - 1. Give x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/7)\/(756\/1176)*66\/36?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -2 - 1*(17 - 23). Solve 5*j = 5*u - 20, 18*j = -y*u + 21*j + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:14 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 2*v**2 + 4*v**2 + 0*v**2 - 3 - v**3 - 4*v. Let h be t(2). Let g(f) = -8*f + 15. Is g(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o**3 - 4*o - 87. Let r(u) = 7*u**3 + 3*u + 85. Determine 3*l(h) + 4*r(h).\nAnswer: 4*h**3 + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i\/(i*i**(-3\/5)*i))\/i)*i)\/i)\/i)\/i)**(-38)\/((i**6\/i)\/(i\/(i*i\/i**(-2\/9)))) assuming i is positive.\nAnswer: i**(-964\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/30 + 46*p**5\/5 - 59*p**2 + 426*p. Find the first derivative of a(h) wrt h.\nAnswer: 4*h**3 + 552*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)*1\/1. Suppose 2*w + 0*w + z = 7, o = 4*w - 4*z - 32. Suppose -1 = -2*d + w. Solve -d*y = -3 + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2553)\/(-333))\/((-1)\/3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 17*o**3 - 3*o**2 + 9*o + 2. Let r(t) = 2*t**3 + t**2 - 3*t - 1. Calculate 5*r(c) + w(c).\nAnswer: 27*c**3 + 2*c**2 - 6*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -75*s + 74*s. Let z be 3\/2*1*-10. Let q = 25 + z. What is the remainder when q is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Let d(h) = h**3 + 8*h**2 - 2*h - 10. Let p be d(-8). Let v = 9 - p. Solve -4*a + 14 = v*m, -3*a = -n*m + a - 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -27\/8, -0.8, -1 in decreasing order.\nAnswer: -1\/3, -0.8, -1, -27\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/3 - 10943*k**4\/3 + 25664*k**3 + 1249128*k**2 + 9068400*k + 19710000 = 0. Calculate k.\nAnswer: -10950, -6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58\/297 - 12251\/9504. Find the common denominator of s and -85\/42.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*v**5 - 3*v**2 - 214*v + 1 wrt v.\nAnswer: -900*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) 1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162354.8 + 162355. Let a = -0.04 - 0.03. Let c = a - -0.01. What is the fourth biggest value in 0.5, c, 0.4, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 times -0.1\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 14 = 6*g. Suppose -3*w + 4*w = 9. Let h = w - g. Solve k + 5 = -2*r - 0, -r - 10 = h*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9354 and -1056?\nAnswer: -9877824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(2448))**2 + -3.\nAnswer: 48*sqrt(17) + 4895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 12 = -5*u, -17*a - 5276 + 5216 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52180813559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from zzzzzszzss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 - 400*u**4 - 490*u**3 + 6960*u**2 - 6075*u = 0. Calculate u.\nAnswer: -5, 0, 1, 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1318 - 1320 = 0, -q = -4*t + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 11*i - 8. Let p be f(-10). Is 5 a factor of (2 + -1)*17 - p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + 23 - (85 + -79)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 403303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175727332.\nAnswer: 2, 11, 67, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.08. Let z = 2269 - 2268.6. Which is the closest to s? (a) 0.5 (b) z (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-2))\/(48\/(-10080)*-30).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5829 + 64073 + 16938 = -403*d + 2073*d for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(-6\/7))*v**(-24))**(2\/71) assuming v is positive.\nAnswer: v**(-334\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 23687*t**3 + 12*t**2 - 5*t**2 + 229 + 43*t - 23686*t**3. Determine c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7754 (base 8) to base 16.\nAnswer: fec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6282664 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + (-2 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 8*s**2 - 5*s)*(16 - 20 - 22)*(9*s - 9*s + 3*s).\nAnswer: -624*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134881975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3702970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(190)*1 - sqrt(190)) + sqrt(190)) - 2*sqrt(190)*-4)\/(-3*sqrt(30)\/sqrt(3)*6)*1*-2)**2*2.\nAnswer: 6422\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - n**3 - 16*n**2 + 4*n.\nAnswer: n*(n - 2)*(n + 2)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24 = -2*a - 4*x, a = -2*x + 7. Suppose 134 = -0*f + 3*f + a*n, -4*f + 5*n = -132. Calculate the highest common factor of f and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*v + 14. Let t = 2548 - 2537. Solve -v*s - t = 5*r - 2*r, -3*r = s - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5987 is divided by 272.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*l - 863, 5*l = -25*x + 23*x + 1738. Is 880 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1058 + 1145. Solve -12 = t*l - 90*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 - 2 = 0. Suppose 2*y = l + 6, 2*y + 2*l = -s*l - 6. Differentiate 1 + 2*p + y*p - 4*p + 2*p**4 with respect to p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 97*z**2 - 95*z - 65. Let n be r(96). Let y(x) = x - 12. What is y(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 15*v**2 + v - 4. Let w(q) = -12*q**3 + 29*q**2 - q + 9. Give 5*t(s) + 3*w(s).\nAnswer: -s**3 + 12*s**2 + 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 2a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -30 + 17 - 7*p + p + p**2. Let f be s(8). Solve -f = 5*u - 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*p - 3*r, -29*p = -32*p + 3*r - 12. Let u = -6 + 4. Let w be ((-16)\/6 - u)*3. Put 12, w, p, 1 in descending order.\nAnswer: 12, 1, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/(2\/12) - 8939. Let c = b + 107407\/12. What is the common denominator of -55\/4 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*r - 268*r**2 - 10*r + 6*r - 432*r**2.\nAnswer: -700*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1431 and 297807?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 198 = m + 3*s + 120, -5*m - 53*s - 358 = -6*m for m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g + 8. Find the third derivative of 4*r**g + r**3 - 4*r**2 - 2*r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2711, 9245, 19599, 33773, 51767, 73581?\n\"Answer: 1910*l**2 + 804*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 2, i: 1, t: 2, j: 1, o: 1, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 6 (c) 50.63 (d) -3 (e) -6 (f) 4 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 106, -1, 1, 0, -25?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - ((-47 - 73) + 143).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31221 - 25416. Is f a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 52*u - 47*u. Solve 59*i = 38*i + u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - -3 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 27 - 3 - (0 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**4\/2 + 7*j**3\/3 + 3*j**2 - 6*j - 2. Let h(o) = 0*o**3 - 3*o**3 + 8*o**2 + o**3 + 7*o - 7. Give 6*h(n) - 7*x(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 minus -55907732?\nAnswer: 55907735.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1012*q + 1411 - 1411 - 1213*q + 284*q to z + n*q and give n.\nAnswer: -1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17620 and 97054484?\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 3*t**4\/2 + 5*t. Let h(i) = -2*i. Give h(f(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-8))\/(6\/(-24))*-4. Put -18, i, 10 in increasing order.\nAnswer: -18, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5654712611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 21\/(-3) - 1. Let x = g + -4. Suppose 14 = 3*t + 4*c, 7*t - 14 = x*t - 3*c. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.71541 and 1.\nAnswer: 15.71541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = -5*u + 720, 5*u + 3*t = 715. Let x = -137 + u. Solve 0 = 5*y - 3*k + 24, -7*y + x*y - 3*k - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*y = 20, 0 = -2*s - 0*y - 2*y. Suppose -s*g = -1 + 21. Let c(j) = -j**2 + 3*j - 4. Let r be c(5). Put g, r, -1 in ascending order.\nAnswer: r, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252)*-2)\/((-4*(sqrt(81) - (sqrt(81) + 2*sqrt(81)) - sqrt(81) - sqrt(81)))\/sqrt(9)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 536? (a) -3 (b) 1 (c) 1\/10 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1872) - (-4 + sqrt(1872)) - sqrt(1872) - sqrt(1872))*5*2 + 5)**2.\nAnswer: -20160*sqrt(13) + 750564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9440 divided by -5\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16134, -64507, -145128, -257997?\n\"Answer: -16124*x**2 - x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.46833 grams to tonnes.\nAnswer: 0.00008746833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.3 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*p + 2187 = -693*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/(-110) + (-37)\/5. What is the second smallest value in -5, g, -2\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 + 120*q**2 + 906*q + 174. What is a(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8 - 2)*(-2 + 2 - 2*o**3 + (-2*o - 3*o + 6*o)*(-58*o - 20*o**2 + 58*o)).\nAnswer: 132*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.3 (c) -12 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954 != 3946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*x**2 + 2*x - 2*x - 265*x**2.\nAnswer: -1141*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**2. Let o(t) = t + 2. Let s(z) = -5. Let x(b) = -14. Let h(k) = 11*s(k) - 4*x(k). Let q(m) = 2*h(m) - o(m). Calculate q(n(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10514 and 17868?\nAnswer: -187864152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from hriihhhhrtht.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75053, -148117, -221181, -294245, -367309?\n\"Answer: -73064*d - 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.3, -0.2, 16, 0.4, 0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d*(d**(2\/27)\/d)\/d)**45 assuming d is positive.\nAnswer: d**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = -16. Let p = z - -10. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8 = -2*v, -5*v + 322 = 4*t. What is the highest common factor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25454\/8970 - (-3)\/(-15). Let d = 1394 - 96188\/69. Let v = o - d. Is v greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4677*c + 9999*c + 11447*c = 757*c + 1953464 for c.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2368248, -4736495, -7104742, -9472989, -11841236, -14209483?\nAnswer: -16577730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40359771 to the power of 1\/2, to the nearest integer?\nAnswer: 6353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1509, -3014, -4519, -6024, -7529, -9034?\nAnswer: -10539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102896 and 63656?\nAnswer: 7511408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 2*w + 10, -5*y + 7 = 3*w. Let r(t) = -3 + 2 + 2*t - y. Let d(m) = -2*m**2 - 196*m - 382. Let h be d(-96). Calculate r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.21. Which is the second biggest value? (a) n (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + 7*r**2 + 23*r - 15. Let x be j(4). Let p = -20 + -1. Let s = -22 - p. Which is the smallest value? (a) x (b) -0.4 (c) s (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/144444 and 69\/14620?\nAnswer: 527942820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -28*j - 2. List the prime factors of o(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*f - 276*f = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdz when three letters picked without replacement from zddzzzzzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1886*p - 24*p + 253*p to the form b*p + n and give b.\nAnswer: 2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -4*m**3\/3 + 286*m**2 + 2352*m + 565. Factor v(r).\nAnswer: -4*(r - 147)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 64. Let x be i(-22). Suppose 3*b - 3 + 21 = 0. Let n = x - b. What is the third smallest value in 2, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 4*w**3 + 5*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/10*-8 - -2. Let u = 172\/583 - 6\/53. What is the second smallest value in u, -3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*n - 4356 = 113*n + n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 24*d - 304 = -80*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:36 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39993509 a multiple of 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6799049011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -d99db2?\nAnswer: d99db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9511 rounded to the nearest 100?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22696*m**3 - 2*m**2 + 18904 wrt m.\nAnswer: 136176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/4 - 30\/(-20). Let q = t + -186\/7. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -23*r + 1. Let b(k) = 8*k**2. What is z(b(w))?\nAnswer: -184*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Which is the closest to -1? (a) -0.1 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14871909 and 372?\nAnswer: 59487636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -5*x**5 - 10*x**4 + 220*x**3\/3 - 40*x**2 - 149. Solve v(n) = 0.\nAnswer: -4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125b - 2c16c?\nAnswer: -303ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 + 8*i**2 - 36*i - 9. Let v(y) = y**3 - y**2 + y + 1. Determine h(u) + 6*v(u).\nAnswer: 2*u**3 + 2*u**2 - 30*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 862270638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3268, -787 in ascending order.\nAnswer: -3268, -787, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2470 - 38?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 38084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8906499.97906316 and 0.2.\nAnswer: 8906500.17906316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1.88.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (826\/238)\/((-1)\/(-2)) + -7. Which is the fourth smallest value? (a) -5 (b) -19 (c) g (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*s - 42 - 44, 0 = -2*l - 4*s + 54. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 703.180829 - 3918.86.\nAnswer: -3215.679171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*n - 16 + 4, 4*x = -5*n - 6. What is the greatest common divisor of n and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 614357497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -905, -1809, -2715, -3623?\n\"Answer: -n**2 - 901*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136.932 - 0.068. Let m = 9091916 + -9092053.0000083. Let t = m - p. What is t rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 17*x**2 - 3*x - 1. Let i(t) = -7*t**3 + 75*t**2 + 11*t + 4. Let o(d) = -2*i(d) - 9*p(d). Determine o(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101011000000101011 (base 2) to base 6\nAnswer: -13221123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45, -39, -23, 9, 63, 145, 261, 417?\n\"Answer: x**3 - x**2 + 2*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 19*v + 65*v**4 - 11*v)*(2*v - 3*v - v).\nAnswer: -130*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4103 + 2?\nAnswer: -4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**7\/((z\/(z**(-2\/21)*z))\/z*z*z**(-2\/19))*(z**(-1\/12)*z)\/(z\/(z\/(z\/((z**(-3)\/z)\/z))))*z**(-2)\/(z**(-2)\/z) assuming z is positive.\nAnswer: z**(-9615\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -117, -162, -219, -288?\n\"Answer: -6*h**2 - 27*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*c + 2 + (-1 + c + 1)*(-2 + 3 + 0) - 2*c - 2 + 2 + 3*c - 5*c + 3*c + (2*c + 2*c - 3*c)*(0 + 0 + 2) + 94 + 8*c - 94.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 1675 = -725. What is the remainder when 316 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + p = -10, p + 8 = -4*z + 58. Solve -z = -6*s + 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1455, 54, 8, -3, -1.\nAnswer: -3, -1, 8, 54, 1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 309*r + 246*r + 896*r + 12 - 536*r.\nAnswer: 915*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63066 - -63066. Suppose 18 = -5*l - 2. Let d = 8 + l. What is the third biggest value in d, 2\/25, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251679 is divided by 1251669.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1 - 1 - f**2 + 3 - 14*f + 1. List the prime factors of v(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385825800593876 minus -0.1?\nAnswer: 385825800593876.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*r + 41. Suppose 3 = 2*t + 4*y - r, 0 = 2*t + 5*y - 29. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1 (c) 10 (d) 14 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 86981188*x - 1891431766472836 = 0?\nAnswer: -43490594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13) - 376\/1638*259\/333?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 705 + 455. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -30, 0.5, -67\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 - 5*o + 7. Let v be j(-5). Let b = 0 - v. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/7 (c) -59\/559 (d) 267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2608301*s**3 - 228198*s.\nAnswer: -15649806*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*n**3)*(0 - 1 - 3) + 2*n**3 + 11*n**3 + 2*n**2 - 18*n**3 as p + m*n**2 + j*n + k*n**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3070 and 21355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 130 (b) -7\/2 (c) 2\/5 (d) 4\/5 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) + (-374)\/990. Which is the nearest to 2\/5? (a) f (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/1*(57\/(57\/(-3)) + 2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 + (84 - (85 + -72))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -100020000202020201?\nAnswer: -100020000202020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w + 260. Let v be 1 + -1 - (-1 - -1). Calculate the remainder when w is divided by 18 - (v - (1 - 6) - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -5, -0.772, 1\/2, -2, 0.2 in increasing order.\nAnswer: -5, -2, -0.772, -4\/9, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - -143)\/(0\/1 - -2). Suppose -3*j - j + 3*g = -z, 0 = 4*j + 4*g - 88. Solve -4*u + 2*u - 25 = 5*k, 0 = 4*k + 3*u + j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(5*10\/700). Solve 239*z + r = 243*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3874 + 3944 - (53 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**8\/840 - 5*x**4\/24 - 2*x**3\/3 - 1. Let u(a) be the third derivative of l(a). Find the first derivative of u(q) wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v**3 + 6*v**2 + 8*v - 3. Let x(z) = -8*z**3 + 4*z**2 + 5*z - 2. Calculate -5*u(y) + 8*x(y).\nAnswer: -4*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.9 + -43. What is the third biggest value in -3\/11, 2, h?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2875*f**3 - 13*f**2 + 21*f + 7. Let t(l) = -2*l**3 - 2*l**2 + 3*l + 1. Give 14*t(g) - 2*u(g).\nAnswer: 5722*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10028\/458781*6\/4?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 - 205*s - 1050 = 0. Calculate s.\nAnswer: -35, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.5. Let h = -0.74 + 6.04. Let z = -5 + h. Put z, -4, i in decreasing order.\nAnswer: z, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1510 and 112?\nAnswer: 84560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + -5.95. Put u, -0.1, -5 in descending order.\nAnswer: -0.1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4161821\/6 less than or equal to 693636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*q**2 + 18*q**2 - 2*q**3 - 4*q**4 + 26*q + 25*q**2 - 2*q to n*q + r + p*q**4 + c*q**2 + g*q**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -27)\/(0 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 2, m: 1, s: 1, v: 1}. Give prob of sequence bns.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25503 is divided by 6109.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 minutes after 11:15 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*d + 13, -4*d - 29 = -7*d + 4*p. Solve -2*u = -d*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*h - 2*u - 10, u - 14 = -4*h. Let z be 10\/h*(-4)\/(-5). Solve 0 = -5*v + z*b - 19, 0 = 4*v - b - 11 + 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 86*z - 855. Calculate x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 42840.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxrrrr. Give prob of picking 1 x and 3 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3161, 12442, 27909, 49562, 77401?\nAnswer: 111426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/1860 + 544\/(-60)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -377863 > -377862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = 41*r + 19*r + 253 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*q + 417 + 844 + 1229 + 6599 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.79, 2\/7, -10\/9, -2\/13 in increasing order.\nAnswer: -1.79, -10\/9, -2\/13, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21362 times -0.0405?\nAnswer: -0.00865161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*s + 126. Is 14 a factor of (-1417 - 5)*s\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 355710, 2\/11, -3 in descending order.\nAnswer: 355710, 2\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 158 + -24 + -25 + -1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 90. Let q(g) = -2*g + 26. Let a be q(10). Suppose a*w - 240 = -6*w. What is the greatest common factor of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57558 - 57558.0083143. Round s to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -6*w - 117. Suppose -4*v - w - 5 = 5*g, 4*g + 4*v + 12 = 0. Let k be ((-1)\/(-3))\/((-2)\/g). Is 1 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (86\/(-43))\/((-10)\/(-107)) + (-4)\/(-10). Which is the second smallest value? (a) 4 (b) -2 (c) l (d) -462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 83. Suppose -45 = -94*g + 89*g. Let o be p(g). Let s(r) = 7*r**3 + 2*r**2 - 2*r. Let k(n) = -7*n**3 - 3*n**2 + 3*n. Determine o*k(a) - 3*s(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*r - 2 + 14 = 0, 0 = 5*r - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s - 5*s - 2*s**2 + 13*s**2)*(0 + 1 + 0)*(4 + 4 - 6) as z*s**2 + q + p*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 - 186. Solve -32 = i*m - 44 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/185*7\/(238\/(-20))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1761 times 1\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2024 = -8*x - 15*x. Calculate the smallest common multiple of x and 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -16, -29, -62, -127, -236, -401, -634?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (7 + -1 - (13 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/(d**(-1\/21)*d))\/d*d))\/d**(-31))\/((d*d**4)\/(d*d**(9\/7))) assuming d is positive.\nAnswer: d**(593\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-2\/3)\/l)\/l)**(-50)\/(l**(-1))**(2\/59) assuming l is positive.\nAnswer: l**(5906\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5058164 kilometers to centimeters.\nAnswer: 50581.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*k + 3 - 4 - 2*k**2 - 4*k to the form a + h*k + s*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -278, -421?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*h - 38. Let v be h*(-4)\/8 - -1. Suppose -4*b = -4*j - j - 168, -v*j = 0. Calculate the highest common factor of b and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 1. Let y be z(-2). Let j(m) = 7*m**2 + 2*m + 5. Let o(f) = -16*f**2 - 6*f - 11. Let u(d) = -5*j(d) - 2*o(d). Give u(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (180\/21*(-2 + (-12)\/(-9)))\/((-195)\/1638)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 4*x - 34 + 59 in the form s + t*x and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -30 - 0. Suppose -6*i - l + x = -2*i, l = 2. Let t be 22\/6 + (-2)\/3. Solve 5*m - q = -28, t*m + i*q = q - 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720 - ((-112)\/(-7))\/(-4).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/111 (c) 13 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -1813, -4079, -7251?\nAnswer: -11329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, -2\/3, -19, 37\/11?\nAnswer: 37\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -3\/8 (c) 3\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 310 = 275. Suppose -2*t = 179 - j. Solve -2*o + 4*q = o + 1, 4*q = -4*o + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7315.999145 - 7316. Round g to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 4*f, -3*j = -f + 3 + 8. Suppose -3*n + 8 = -n. Let s be (j\/(-3))\/n*0. Which is the nearest to 2\/3? (a) s (b) 1\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-833)\/357 - (-1)\/3)\/(2\/50).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (464 - 1990 - 853)*(-5*b - 12*b**3 + 5*b) to the form s*b**3 + x + f*b**2 + c*b and give s.\nAnswer: 28548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -364 or -356?\nAnswer: -356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 29. Let p be i(10). Let h = 19 - p. Suppose -5*s - 4*a = -35, -2*a - h = 3*s - 29. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349545 + 348310 = 17*m - 82*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxa when three letters picked without replacement from {a: 1, h: 1, z: 1, j: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = 3*y, -120 = -5*y - j - 65. What is the highest common factor of y and 2430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17810 + 0?\nAnswer: 17810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2599996)\/(-10) - (-2)\/5. Round z to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1194 (base 16) to base 10\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 7 + 7 - 3. List the prime factors of i(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4465.6011 rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1090083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 13. Let u be w(6). Which is the second smallest value? (a) -4 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 206a - 7?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52\/15 (b) -13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-33)\/153)*28\/(-84).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 471379627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/12 + (-2)\/3 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z + 2. Let a(p) = 4*p**2 + 9*p - 9. Let v(m) = -4*a(m) - 18*n(m). Let s(k) = 3150*k - 16*k**2 - 3150*k. Give s(v(q)).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 18*y - 39. Let p be o(-19). Let h = -16 - p. Suppose h*b + b - 530 = 0. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 695 = -59*d + 118*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5883, -5909, -5935, -5961, -5987?\n\"Answer: -26*r - 5857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 k when four letters picked without replacement from kdkkkd?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-339)\/904).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s**2 + s - 5 + s**3 - 5*s + 1. What is the remainder when k(-8) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujd when three letters picked without replacement from {d: 5, y: 1, j: 1, t: 1, u: 1, v: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Let c be j(11). Suppose -3*f = -12, 0*r - c*f + 20 = 2*r. Suppose r = 3*b + 3*b. Solve b = 2*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -836*l**6 + 1205*l**2?\nAnswer: -100320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -10 - (-2 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = 3*t + 10, -24 = 4*a + 4*t. Let s be 4*78\/20 - a\/15. Solve s*g + 12 = 12*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 10406*r + 56 = 10410*r, -5*r + 99 = -11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-1 - -2))*2. Suppose 2*r = r + t. What is the smallest common multiple of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/7 - 16*g**3\/7 + 69*g**2\/7 - 90*g\/7.\nAnswer: g*(g - 10)*(g - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 41*n**2 - 5*n - 4. Let i(w) = 2*w**3 + 42*w**2 + 7*w + 6. Calculate -3*a(p) - 2*i(p).\nAnswer: -p**3 + 39*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1674\/(-155))\/(1 - (-12)\/(-10)). Suppose j - 2*y = 49, 4*y + v = j + 7*y. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308907278 a multiple of 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 15, n: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-130*x - 996 + 996)*(-1 + 2*x**2 + x**2 - x**2 + (-2 - x + 2)*(-5*x - x + 2*x)) to w*x**2 + l*x**3 + d*x + v and give d.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.288333 to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - sqrt(363)*-1*2) + (sqrt(363)*2*-3 - sqrt(363))**2.\nAnswer: 33*sqrt(3) + 17787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 + 5*o**3\/3 + 3*o**2\/2 + o - 1. Let v(f) = 13*f - 34. Let t be v(3). Is 7 a factor of s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 278*k + 9579. Determine n(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5775 and 364449749.\nAnswer: 364455524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5958*w + 2*w**2 - 2913*w - 1475*w.\nAnswer: 2*w**2 + 1570*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/7)*i)\/i*i*i)\/i**(1\/6))\/(i\/i**(2\/13))**(-17\/5) assuming i is positive.\nAnswer: i**(12079\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7280750079?\nAnswer: 3, 53, 15263627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**3 + 15*q**3 - 7*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 45*v**2 - 48*v - 81. Let z be d(-46). What is the highest common factor of z and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.1 (c) -3 (d) 0 (e) 0.139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*v = -20, 3*v = 5*u - 101 + 121 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (57\/36)\/((-10)\/(-45)) and -2 + 5*(-2)\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 3876.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -468 + 780. Suppose -17*o + d = 9*o. Solve -2*q + o = -6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from {e: 3, n: 7, r: 2, q: 7}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x*x*x*x*x**(1\/8)*x*x*x*x**(-2)*x**(3\/7)\/x)\/((x**0)**30*x**3\/x**7) assuming x is positive.\nAnswer: x**(-25\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 7 = -j + 2*o, -30 = -j - 4*o. Calculate the highest common factor of 624 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, 4, -3 in increasing order.\nAnswer: -4, -3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-21)\/5 - (-4)\/20). Suppose q = -15*a + 4*a + 132. What is the highest common divisor of 156 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.923 - -9.863. Let b = -10 - -13. Put -0.2, b, x in decreasing order.\nAnswer: b, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -1611a?\nAnswer: -16113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102, 75, 40, -9, -78?\n\"Answer: -t**3 + 2*t**2 - 26*t + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 6:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 2, b: 1}. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12 + 3*z - 4*z - 8*z + z**2. Let i be k(8). Determine v, given that 8*v**3 + 4*v**3 + 10*v**2 + 3*v**i + 0*v**4 + 5*v**2 + 6*v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - h + 30 = 0, 0 = 3*s - 6*s + 4*h + 13. Suppose z + 1 = s. Solve 0 = -3*u + z, y + 4*y + 2*u - 29 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 19*j**2 + 9*j**2 - 8*j**2.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/24 - 7*b**3\/3 - 158*b**2. Determine q(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130860 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-19 - 2) + 4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -8. Suppose -a*k - 8 + 16 = 0. Suppose -57 = -k*i + 7. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**3 + s**2 + 0 + 4*s + 9*s**3 + 0 to the form m*s**3 + g*s + t + b*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-82 - -88 - (-3 + 1 - -3 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(5\/(-4)) + -3. Suppose -2*i + l + 5 = 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03526*40.\nAnswer: -1.4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(192)*2 - sqrt(192)))**2 - (2 + (sqrt(192) + 4*sqrt(192) - sqrt(192)))) + -2.\nAnswer: -64*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 829\/2 - 400. Let d = -83\/6 + j. Suppose 0 = 4*k + 1 - 9. Which is the biggest value? (a) k (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1966770 times -25?\nAnswer: 49169250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21194 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254\/51*3\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.86 and -1746.4.\nAnswer: 3248.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w + 18*w + 31*w + 2*w**2)*(0 + 1 + 1)*(0 + 0 + w) to x*w**3 + b*w**2 + v + m*w and give b.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 56, -3, -7, 3 in ascending order.\nAnswer: -7, -5, -3, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s - 4*o + 21, 0 = 4*s - 4*o + 12. Suppose s*m = -m. Suppose 7*u - 12*u = m. Put -1, u, 1 in increasing order.\nAnswer: -1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 512. Let j(q) = -5*q. What is j(s(x))?\nAnswer: -5*x - 2560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3) + -3 - (13 + -7 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 2*a + 25 = 0, -3*a = 0. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7971426 divided by 774.\nAnswer: 10299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648951328 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4687\/218)\/((-11)\/13 + (-126)\/819).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 2 - (5669 - 2). Which is greater: i or -5675?\nAnswer: -5675","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 291 or 307?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19370 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86997, -86944, -86891?\n\"Answer: 53*r - 87050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5565.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1119 - -1109. Let i(f) = f**3 + 9*f**2 - 9*f + 11. Determine i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 93. Let g be (-6 + -9)*5\/(l\/(-4)). Find the second derivative of -2*c - g*c**2 + 41*c + 2*c wrt c.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291236863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 64. Find the third derivative of 13*y**2 + 2*y**2 - 14*y**5 + 23*y**m + 44*y**5 wrt y.\nAnswer: 1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n - 10*n - 80*n**3 - 11*n**3 + 17*n in the form b*n**2 + h + g*n**3 + y*n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwwn when four letters picked without replacement from {w: 2, n: 11, j: 2}?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1460 - 9166.\nAnswer: -10626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/j)\/j*j*j**(-6)*((j**1\/j*j)\/j)**(-33\/5) assuming j is positive.\nAnswer: j**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 2732*k + 470524. Let z(p) = 5*p**2 - 5462*p - 941036. Let c(u) = 13*o(u) + 6*z(u). Solve c(s) = 0 for s.\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -5, 0, -6, 5159, 6 in ascending order.\nAnswer: -6, -5, 0, 3, 4, 6, 5159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2. Let s(v) = -82*v. What is s(i(b))?\nAnswer: -738*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 378 = 30*d. Is 18 a factor of (d - (-216)\/10)*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -314*u**3 + u**2 - 12856*u - 2 wrt u.\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 310. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(-2*sqrt(7) + sqrt(7)) - sqrt(3)) + (sqrt(72)\/sqrt(3))\/sqrt(8))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18369*m. Let w(z) = -z**2 + 141*z - 446*z + 305*z. What is t(w(l))?\nAnswer: -18369*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 - 3, -5*x - t + 146 = 0. Is 5 a factor of (x\/(-9))\/((-4)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80737535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {g: 1, n: 2, q: 3, s: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10216*a**3 - 5109*a**3 - 5112*a**3 - 237*a**5)*(9 - 3 - 4).\nAnswer: -474*a**5 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 19\/24*u**4 + 14*u**2 - 11\/3*u**3 + 1\/60*u**5 - u + 0. What is i(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62528*n**2 - 12488*n wrt n.\nAnswer: 125056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 2, s: 1}. What is prob of sequence sfg?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 16 = 4*w + 30*t, 0 = -5*t - 5. Let x = 2 - 3. What is the nearest to x in 2\/15, 0.4, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967 + 662 + 755 = -17*o - 2046 for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 5 + 6 + 6*y + 3. Let h(n) = n**3 + 5*n**2 + 2*n + 7. Let m be h(-5). Determine p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -17280 and -17265 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 10 = -5*c, -u - c - 2 + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**7\/10080 + l**6\/1440 + l**5\/480 - 7*l**4\/12 - 8*l. Let q(d) be the third derivative of p(d). Let q(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*h - 7, -4*h - 2*g = -687 + 679 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2190*w - 18524 = -1769*w for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 9:56 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 90\/13, -0.3, -5, -5116 in decreasing order.\nAnswer: 90\/13, 2\/11, -0.3, -5, -5116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 333378047 or 333378051?\nAnswer: 333378051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*i - 3*i - i + 81*i**2.\nAnswer: 81*i**2 - 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/18829?\nAnswer: 4\/18829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 133\/3. Let w = 18 + -16.7. Let i = 1.4 - w. Which is the closest to i? (a) 5 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363951 - -19836783.\nAnswer: 19472832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngt when three letters picked without replacement from {n: 2, g: 9, t: 1, k: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/23956 - 2311719\/838460. Let o = h - -20\/7. Let x = -1 + 1.2. Which is the nearest to 1\/4? (a) -2\/5 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 4*m - 2. Let u(l) = -l**2 + 8*l + 21. Let z be u(10). Let t be r(z). Suppose -2*w - 74 = -t*o, o + w = 14 + 5. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 3*h + 4*h + (0*h - 3*h + 4*h)*(0 + 3 - 2) - 416*h + 2823*h - 1493*h.\nAnswer: 916*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*t = 11, -25*n - 3*t = -29*n - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 148602144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*d - 15566 = -2*d + 5*d - 15472, 103 = d - 2*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 18.2.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/7 - (-413)\/1078. Let u = 1213\/66 + a. What is the common denominator of u and 5\/(60\/124) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, c: 1, y: 2}. Give prob of sequence ycy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + 4 + -1*sqrt(1573)*4*-5 + 3)**2.\nAnswer: 1320*sqrt(13) + 629210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/640*-3*64\/108\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 464783.4 centimeters?\nAnswer: 4647834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62668563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w - 439. Determine v(-46).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*w**3 - 380*w**3 + 2858*w + 745*w**3 - 2858*w.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t = -83*t - 44*t + 1089 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**2 - 24*l + 3794. Determine o(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843.68 hours in microseconds?\nAnswer: 17437248000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2766160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 0.1, -6, 5\/7, -3\/2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(1\/(-2)*-4))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*r + 10 = 28, -4 = 4*g + 3*r. Find the second derivative of 82*d - 82*d**3 + 309*d**2 - 608*d**2 + 300*d**g + 10*d**3 wrt d.\nAnswer: -432*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2470 or -2497?\nAnswer: -2470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/140400 and 107\/10951200?\nAnswer: 10951200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - 32927*f**3\/2 - 82336*f**2 + 197574*f + 592776 = 0. What is f?\nAnswer: -6, -2, 3, 32932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43298 divided by -49?\nAnswer: 43298\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 11*t - 1. Let a be v(-5). Suppose 183 = -r + a*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101.8, -1\/24, 0.39.\nAnswer: -101.8, -1\/24, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -2*q**6\/45 + 159*q**5\/5 - 6399*q**4 + 37446*q**3 - 4819*q. Factor m(b).\nAnswer: -4*b*(b - 237)**2*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1.5, 2\/13, 4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 5. Let g be r(-5). Let c = 3 + g. Is (-1)\/c*-2 + 92 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 + 1232*c**4 + 38*c**3 - 23396*c**2 - 7536*c + 88704 = 0. What is c?\nAnswer: -3, 2, 4, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 7. Let t be s(-5). Let i = 10 + t. Solve -3 + i = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*p - 112*p - 6580 = 35*p - 223*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a - 372 + 356 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.003 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*f - 5, -2*f = 3*q + 40 - 41 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*(u*u*u\/(u**6\/u)*u*u)\/u)\/u)\/u*u**7*u*u**(-4)\/(((u\/(u\/u**(-6)))\/u)\/u) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 59*v**2 - 3*v - 2. Calculate k(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -0.3, 528, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9248.71 and -15?\nAnswer: 9263.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 27. Let o be (n\/24)\/((-4)\/80). What is the units digit of -4 + 5\/(o\/(-78))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + 15 + -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + 4*sqrt(11).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5827489*x**2 - 25427063 wrt x?\nAnswer: 11654978*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -1009*y**2 - 340*y - 5036. Find the first derivative of j(z) wrt z.\nAnswer: -2018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 2. Let x(l) = -35510*l. Determine x(i(a)).\nAnswer: 142040*a**2 + 71020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 0 - 11*l - 1\/360*l**6 + 7\/6*l**3 + 0*l**2 + 1\/24*l**4 + 0*l**5. Let k(v) be the second derivative of j(v). Factor k(i).\nAnswer: -(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 88?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 6*s - 2*s + (-2*s + 3*s - 3*s)*(3 + 3 - 4) + (-2 + 1 + 2)*(5 - 5 + 2*s) - 3*s + 3*s - 3*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 0.828?\nAnswer: -1.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428 - 542 = -6*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -dc7 (base 16) to base 6\nAnswer: -24155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/20 - 7*n**4\/12 - n**3 - 4*n**2 + n + 82. Determine u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 315?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -158539?\nAnswer: -3\/158539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -3*b + 5*v, -v + 103 = 3*b - 0*v. Solve -b = -19*i + 80 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 8 = 0. Suppose 0*s + s - l = u, -l - 8 = -4*s. Suppose 6 = -q + s*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/((-162)\/(-114)))\/((-64)\/(-3)) and -32\/11.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) 2\/5 (d) 12\/7 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -746530483 + 5058490631567\/6776. Let u = 3\/1694 + g. Calculate the common denominator of u and (6\/(-44))\/(-3)*27.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j - 712. List the prime factors of (-1)\/(-5) - j\/40.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + z = 4*z - 24, 3*f + 11 = 5*z. Differentiate 6 - f - 2*b**2 - 4*b**2 - 2 wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*q**3 + 12*q**3 - 31*q**3)*(-5 - 5 + 5).\nAnswer: 225*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99.51 + -0.49. Let g = 99.999868 + u. Round g to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.5 - 1.5. Let l = -42 + k. Which is the nearest to l? (a) 0.3 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 30*h - 61. Let w be m(6). Let g = w - 114. Suppose g*a + 5*y - 280 = 0, 196 + 80 = 5*a + y. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145405970 - 0.0467.\nAnswer: -145405970.0467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -363 + 376. Let d(n) = -2*n**2 + 31*n - 61. Let p be d(w). What is the biggest value in p, -4, 1, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/1617 - 592\/42. Let f(b) = 15 + 15*b - 12*b - b. What is f(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, d: 4}. What is prob of sequence tdt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -7*a. Let p(o) = 16273*o**a + 5 - 2 + 7061*o**2 - 3*o. Let q be p(3). What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1996 and 71\/4990?\nAnswer: 9980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 5. Let z be ((-5)\/4)\/((-2)\/8). Is h(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 4. Suppose 2*h - 25 + 5 = 0. Let p = -4 + h. Give s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44509*z**4 - 66*z**3 + 29512008*z**2 wrt z?\nAnswer: -1068216*z - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/5))**(-35)\/((r\/(r*r**(-4)*r))\/(r\/(r**3*r))) assuming r is positive.\nAnswer: r**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Let a = 1 - k. Are -2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 7:20 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 186*j**2 + 184*j - 203. Let p be w(-185). Let k(y) = -2*y**2 - 3*y. Let q(t) = 8*t**2 + 13*t - 1. What is p*k(c) - 4*q(c)?\nAnswer: 4*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**4 - 9178*y**3 + 3*y**2 - 14351491*y + 4 wrt y?\nAnswer: -60*y**2 - 55068*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8224?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012780 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.59 - -4.59. Let b(d) = -d**3 - 4*d**2 - 4*d - 16. Let r be b(-4). What is the closest to 0 in h, -7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-52)\/24336*492?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -13\/60*p**5 + 2*p + 0 + 16*p**2 + 0*p**4 + 0*p**3. Let k(c) = 3*c. Determine k(q(y)).\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002765358 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 = -17. Let t = -12 - y. Sort t, -4, 1.\nAnswer: t, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50272\/49 - 1026. Which is smaller: a or 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(2057) + sqrt(68)*2))**2.\nAnswer: -2160*sqrt(17) + 137844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303006107.\nAnswer: 89, 3404563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228911 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -4104172057 and 0.25.\nAnswer: -4104172056.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.64 + -24715.8?\nAnswer: -24882.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000015 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19771 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 25*c**2 + 153*c - 74. Calculate d(30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*r + 59 - 111 = 97 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*m - 1156, 3*m - 222 = -r + 391. Solve -42*u - r = 32*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78200483?\nAnswer: 23, 147827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49822235 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-14)*(-7)\/2. Suppose b - 6*b + f = 0. Suppose 2*y**2 - y**2 - b*y + 8*y - 3*y + 2 = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/8760 and 47\/40.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 2 y when four letters picked without replacement from bzyyzu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 7288*s**3 + 143*s**2 - 3648*s**3 - 3642*s**3 to z*s + d + y*s**3 + b*s**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40955892?\nAnswer: 2, 3, 37, 92243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**3 - 2*l + 3*l - 2*l**3 - 1. Suppose 4*g - j = -3*j - 2, 3*j + 2 = -5*g. Let z(r) = -3*r**2 - 2*r - r**3 + 1 + 1 + 3*r**2. Give g*z(m) - 2*w(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68582 - 10424543\/152. Calculate the common denominator of 109\/88 and h.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17922131.5 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 418792 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -857326, -857591, -857856, -858121, -858386?\n\"Answer: -265*n - 857061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 13*d - 25 = 0. What is the remainder when d is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f (base 16) in base 4?\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 341 - 211. Let z = 133 - n. Let c = 1 - 0. Sort 7, z, c in ascending order.\nAnswer: z, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 1:20 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*o**3 + 327?\nAnswer: -498*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-594)\/77 - (-2)\/(-7). Let r = m + 6. Let f be 0 + (-55 - (r - -4)). Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7270 = 6*r + 4*r. Let b = 1483 - r. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*4460233.\nAnswer: -1338069.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 9. Suppose c*q = 103 - 3. Calculate the highest common divisor of 180 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let m(k) = -81*k. Let w(r) = -5*r. Suppose h = -0 + 2. Let t(b) = h*m(b) - 33*w(b). Calculate a(t(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -1, 5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.2. Let k = x - -1.8. Let d = 0.34 + 0.06. Which is the second biggest value? (a) -0.5 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -87. Let f = -16 - c. Let j(s) = s**3 - 3*s**2. What is the smallest common multiple of 5 and j(f)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -188 - -165 - (12 + 0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -136, -455, -1078, -2107, -3644, -5791, -8650?\nAnswer: -12323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 5*n + 17, u - 2*n - 22 + 8 = -u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18107*t + 18104*t = 15, 4*n - t = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380182\/59405 + 2\/11881. Factor i*f - 2\/5*f**2 - 128\/5.\nAnswer: -2*(f - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00753011 rounded to four dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 - (10 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0038928 and 3.\nAnswer: 2.9961072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6731, 6779, 6837, 6905, 6983?\nAnswer: 7071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 + -1 + 12. What is the highest common factor of 77 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873600 is divided by 1365.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**2 - 36*s - 14. Let d be l(-6). Let x = d + 788\/5. Which is the closest to -3\/11? (a) x (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 19*h**2 - 4*h + 4*h**3 - 36*h**2 - h**3 + 4*h in the form s*h**2 + z + a*h + t*h**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 1. Determine f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2090 + 28909?\nAnswer: 30999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 11 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j - 43. Let s = 28 - 16. Let x = j - s. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 + -125. Solve 5*u + 4*x - q = 0, -2*u - 2*x + 23 = 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700734 is divided by 255.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 152\/133*77\/308\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/32*-4 - -4. Let i(q) = 6*q + 9. Give i(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38+-33020.7\nAnswer: -33020.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -384, -349?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.783212us to seconds.\nAnswer: 0.000005783212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let f(o) = -12*o**3 + 5*o**2 + 2. Give f(g) + 6*m(g).\nAnswer: -12*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) 1.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 184817947 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1565\/11, -9\/1312, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -266*l + 283. What is o(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 597 = -605. Find the common denominator of (-19285)\/(-11400) + u\/(2\/2) and -28\/33.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 3.8. Let a = -19 - -20. What is the second biggest value in a, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 27*d + 179. Determine g(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 850764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 4 - 8 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2131 in 1\/3, -1, -3.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36093737, 72187484, 108281245, 144375026, 180468833, 216562672, 252656549?\n\"Answer: t**3 + t**2 + 36093737*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jusew. Give prob of sequence wuej.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44245, 88249, 131775, 174583, 216433?\n\"Answer: -40*n**3 + n**2 + 44281*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 3 + -4 + (-3 - 14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93510, 92832, 92154, 91476, 90798?\n\"Answer: -678*v + 94188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2521*f**5 - 2*f**3 - 2751*f?\nAnswer: 50420*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -27\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h + 44*h - 4*t - 32 = 0, 4*h + 7 = t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 8*g**2 + 7*g + 4. Let x be r(-7). Let y be (-6)\/9*(-27)\/(-45)*-10. Calculate the greatest common divisor of y and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Let p(a) = 4 + 10 - 3 - 3*a. Suppose 2 = 2*u - 6. Give u*p(c) - 11*s(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -2592.5.\nAnswer: -28517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/12 - (-1)\/(-4). Suppose 16 - 6 = 2*x - c*m, 0 = -2*x - 3*m - 15. Suppose r = -j + 5*r + 7, 2*j + 2*r - 14 = x. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o. Let r(b) = -259*b. Determine j(r(s)).\nAnswer: -1295*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341 and 111662?\nAnswer: 1228282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - 12*k)*(-16*k**2 + 3*k**2 - 7*k**2)*(2*k**2 - k + k).\nAnswer: 480*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156897 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 2, f: 1, n: 3, r: 1, h: 3}. Give prob of sequence hcnq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -3*q**4\/28 + 2*q**3\/7 - 3*q**2\/14 + 266. Find a such that f(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/1)\/((-5)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -55*h - 4254. Let f be k(-78). Suppose -3*i - i = -384. Calculate the greatest common factor of i and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7))**(-19))**26 assuming x is positive.\nAnswer: x**(-494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 483? (a) 4 (b) 3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -26*y - 20. Let o be s(-1). Let h be (-48)\/(o + 2) + 3. Let z(x) = -x + 4. Let v be z(6). Sort h, 5, v in decreasing order.\nAnswer: 5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7044016 divided by 64624.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -172 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.681602 + 21.2816. Let h = 4 - 4.4. Let t = h - b. What is t rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12725*t**5 + 55*t**2 + 21.\nAnswer: 763500*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 - 5*f**3\/6 + 55*f**2\/2 - 1011*f. What is x(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9345 and 1435.\nAnswer: 383145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -0.2. Let z = -2.2 - r. Let b = z + 3.5. Put -4, b, 0.2 in increasing order.\nAnswer: -4, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11303, -22592, -33881, -45170, -56459, -67748?\nAnswer: -79037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/11 - 8\/33. Let p = -20 - -19. Let k = 104\/147 + -2\/49. What is the nearest to n in p, 2, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 1359*v - 615627\/4.\nAnswer: -3*(2*v + 453)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -389 - -991. Suppose 5*z - 358 = u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144129041 divided by 20589863?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 56) + (-1 - 0 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19*r - 283. Let l be d(25). Calculate the greatest common divisor of 672 and l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m + m)*(-3*m**2 + 4*m - 4*m)*(-64*m + 1280 - 1280).\nAnswer: -384*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(84)\/(sqrt(72)\/sqrt(6)))**2 - (1 + sqrt(112) + sqrt(112) + -1 + sqrt(112)))*-1.\nAnswer: -16 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q = 6. Suppose q*a + 5*v = 17 + 25, -3*v = -2*a + 9. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - q**2 + 3*q - 4. Let o(u) be the second derivative of 3*u**5\/20 - u**4\/12 + 2*u**3\/3 - 5*u**2\/2 - 255*u. Determine 4*a(y) - 3*o(y).\nAnswer: -y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/68 + (-7)\/4. Let j be (w - -4 - 6)\/(-1). Suppose 5*q = -4*u + 203, j*q + 4*u - 38 = 126. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362314101 to the power of 1\/2, to the nearest integer?\nAnswer: 19035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -879 or -858?\nAnswer: -858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019460062 rounded to five decimal places?\nAnswer: 0.01946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (-25 + (-18 - -54)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.08.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 9. Let n be w(0). Solve 0 = 3*g - 0*g - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1701.36 + 1183. Round v to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.866457 - 0.8019083. Let r = b + -0.0646. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 206378896*c + 412757776.\nAnswer: 4*(c + 2)*(c + 51594722)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7 = 5. Let c(h) = -12*h**3 - 15*h**2 + 2. Let i(k) = 11*k**3 + 16*k**2 - 3. Let x(u) = g*c(u) - 2*i(u). Find the third derivative of x(t) wrt t.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - v**3 - 3*v**2 + (v**2 - 2*v**2 - v**2)*(-5*v + v + 2*v) - 1229*v**3 + 47164 - 47164 - 2*v**3 + v**3 + 2*v**3.\nAnswer: -1225*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*g + 87, 0 = -2*h + 3*h + 4*g - 22. Calculate the greatest common divisor of 204 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 44.43, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 14 + 14)*(0 + 1 + 5*l**2 + 3*l**2).\nAnswer: -48*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106211 is divided by 53092.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 2*m**3 - 3*m**3 - 696465 + 696465.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 - 9*s**2 + 5*s + 5. Let l(h) = 913*h**2 - 1834*h**2 + 916*h**2 + h**3 + 2 + 2*h. Determine 2*d(w) - 5*l(w).\nAnswer: w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4399*z**4 - 5738.\nAnswer: 17596*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 p when three letters picked without replacement from {m: 6, l: 5, p: 1, i: 2, f: 1, d: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -18*l. Let n(c) = 700946*c**2. Give r(n(j)).\nAnswer: -12617028*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17261.6 + 26788.7. Let w = 9575.129 - n. Let u = 48 - w. What is u rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123065375?\nAnswer: 5, 19, 51817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttbm when four letters picked without replacement from tttmbmtbbt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -123*r - 39. Calculate the remainder when k(-2) is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 12*g - 5*g**2 + 22 - 27 - 6.\nAnswer: -5*g**2 - 12*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s - 1. Let j(k) = -105*k**3 - 49*k**2 - 5*k + 37. Let l(u) = j(u) - 5*p(u). What is the third derivative of l(m) wrt m?\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70931 + 70931 - 2*o + o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40733 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3391 times 195166\nAnswer: 661807906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 50 + 2. Suppose 0 = f - 3*f - 4*r + 16, -3*f - t*r + 18 = 0. Let l be ((-6)\/(-4))\/(9\/12). Solve 0 = -f*m + 6, -2*k - l*m + 14 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 932443, 932442, 932441, 932440?\n\"Answer: -z + 932444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -720517170?\nAnswer: -720517172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10 = 0, 0 = -4*f + 2*h + 296 - 298 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 977*i + 233516. Calculate w(-239).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1382.8 - -1530. Let y = 52 + 111. Let f = p - y. What is f rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 494091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = 0, 1024 = p - 5*p + 4*v. Let i be -2*(p\/(-84) - (5 + -2)). Let n = 6 + -4. Which is the closest to n? (a) i (b) 1\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/20)\/(50\/100). Which is the closest to 4\/35? (a) j (b) -0.4 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -604, -605, -606?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 0.3. Which is the nearest to -1? (a) 0.2 (b) s (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*r + 15170 = 13630 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 take away 1.58?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 50274*j**4 - 631013533*j**3 + 21498067332*j**2 - 182857153924*j.\nAnswer: -j*(j - 17)**2*(j + 25154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/((-2)\/40). Let z = 259 + f. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/514 - 519\/2570. Let t = 11 + -11. Suppose t*y + 2*y - 2 = 0. What is the closest to y in -2\/7, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3134, -231\/8?\nAnswer: -231\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -14\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2835 and 56994192?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -0.2 (c) -63701 (d) 0.02 (e) 2.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**3 + 13*q - 6*q**3 - 11*q**2 + 2*q**3. Let c = 236 + -485. Let y = c - -238. Let j(f) = 5*f**3 + 6*f**2 - 7*f. What is y*j(o) - 6*r(o)?\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 49. Let z be 2\/3 + (-13)\/(-3). Suppose -w = -p + 3*o, -3*o + 2 = 2*p - z. Solve -4*x + i - 8 = -3*i, 2*i = -p*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m + 128*m - 216 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 300 = 7*l. Suppose 0 = 128*p - 125*p + l. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3025*v + 2016*v + 2428*v - 8601*v. Let a(y) = y**2. Determine a(m(r)).\nAnswer: 1281424*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8125585.\nAnswer: 5, 13, 41, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 3. Let v be j(-7). Suppose -v = -2*f - 16. What is the biggest value in f, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 73*q + 1300. Let z = -30 + 17. Let i(o) = o**2 + 10*o - 18. What is the remainder when a(27) is divided by i(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400*n + 939*n + 922 = 0. Let 1\/3*c**n + 22\/3*c + 121\/3 = 0. What is c?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2582958 and 53578?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 60. Let j(n) = -8*n**2. Give b(j(i)).\nAnswer: -8*i**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1263?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 8)*(0 + 1). Suppose -6 = -4*h + 2*h + y*j, -5*h + 4*j + 15 = 0. Let x(k) = -3*k**2 + 2*k**3 - k + k + 2 - 2*k - k**3. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (1 - (7 - 31)) + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 46. Let o be (-31)\/124*40 + (-5)\/(-1). What is the closest to -2\/3 in j, 0.1, -5\/2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 3*f + 8. Let z be l(4). Let n = 12 + z. Let b = 4 - 7. Do n and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*y = -97*y - 80*y - 93*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 50*i**2 + 13*i - 15. Let h be k(50). Solve -35*o - h = -530 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 90, -13\/11915, 2\/5, -1\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n + 17 + 45*n - 17*n.\nAnswer: 5*n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415707167 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 110\/3. Which is the closest to -3? (a) r (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/25004 and -77\/5358?\nAnswer: 75012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -261 + 268. Is g smaller than -2\/1241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 - 3*c**2 + 39*c + 175. Let h(l) = 4*l**3 + l**2 - 20*l - 87. Let b(o) = -5*h(o) - 3*q(o). Let a be b(-4). Which is bigger: a or -23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37526*p - 55798*p - 57866*p + 1943*p.\nAnswer: -149247*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 + 4484124*o**2 - 1675609519815*o - 3351236976150 = 0?\nAnswer: -2, 747355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-28) - 2\/(-7). Suppose -66 = -a*s + z + 11, 0 = 3*z + 9. Find the third derivative of -17*f**3 + s*f**3 - 38*f**3 - 6*f**2 wrt f.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 28*g**4 - 3*g**3 + 68*g**2 - 4*g + 4. Let j(s) = -s**4 - s**3 - s + 1. Let w(i) = -h(i) + 4*j(i). What is the third derivative of w(r) wrt r?\nAnswer: -768*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m + 2. Give d(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1, -13\/4, -1\/3, 17, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 298*q + 6857 = -242*q - 3688 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 825304519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let x be 5\/((-2)\/(192\/(-40))) - -4. Solve 0*m - a*m + 2*q = -x, -m - 4*q = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68553717, 68553710, 68553703, 68553696, 68553689, 68553682?\n\"Answer: -7*o + 68553724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/2))**(37\/4)*k**(-1\/5)*k**(-2\/23))**(-17) assuming k is positive.\nAnswer: k**(-357187\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, -417, -1294, -2529, -4116, -6049, -8322, -10929?\nAnswer: -13864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4897824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.52 + 17.48. Let v = -15 + n. What is the second biggest value in -1, -5, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 44*g**2 - 8*g - 4. Let a(y) = -2*y + 6 - 29*y**2 + 7*y + 0*y - 3. Let s(m) = 8*a(m) + 5*n(m). Differentiate s(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/20 + u**4\/4 - u**3\/3 + 5*u**2\/2 + 27*u. Determine z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5135 - 5136. Let u(t) = t**2 - 1. Let d(r) = -4*r**2 + 2*r + 2. Determine n*d(q) - 2*u(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1966935292001*y - 1966935292001*y - 11*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -430.78753 + 79.76943. Let q = 351 + p. What is q rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85\/9 or 8?\nAnswer: 85\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 52626?\nAnswer: 52623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.218 + -1.328. Is -6 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 6*z**2 + 4*z - 2. Let c be q(-5). Suppose -8*x + 10*x = 3*b - 55, -c*x + 75 = 3*b. Solve a + 27 = -a - 5*f, b = -a - 4*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 55*t - 278. What are the prime factors of l(15)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 6)*(77 - 54*g - 78 + 4*g) as y + n*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -851c7 (base 13) to base 3\nAnswer: -110011221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -425, -423, -421, -419?\n\"Answer: 2*r - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, -153, -346, -539, -732, -925?\n\"Answer: -193*p + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 2*s**2 - 2*s**2)*(1 - 1 - 2*s**2) - s**3 + s**3 + 2*s**5 + 0*s**5 - 2*s**5 - 3*s + 4*s.\nAnswer: 2*s**5 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((2\/4)\/(3\/12))*22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 4*z. Let o be p(0). Suppose o = -121*h + 122*h. Factor 2\/3*b - 2\/3*b**2 + h.\nAnswer: -2*b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/120 + (-6)\/8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -688\/5 + 138. Let k = -0.8008 - -30.8008. Sort -1, k, -1\/5, m.\nAnswer: -1, -1\/5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-22))**(-3\/26)*((b*b**(2\/7))**(-3\/5))**(10\/11) assuming b is positive.\nAnswer: b**(-3243\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + (-510)\/(-135). Solve -l*c = 1 + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362220815.\nAnswer: 5, 472444163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:48 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1)**(-20)*(l**(-1))**(6\/13))**50)**(-5\/2) assuming l is positive.\nAnswer: l**(33250\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*p + 8*p. Let n(j) = -17*j**3 + 6*j**2 + 5*j - 2. Let h(l) = -11*l**3 + 6*l**2 + 4*l - 3. Let m(t) = -3*h(t) + 2*n(t). Give m(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -289, 3174, 12671, 31220, 61839?\n\"Answer: 503*f**3 - f**2 - 55*f - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from sxnknem.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 37 = -2*n, 0 = -5*n - 2*v + 67 + 23. Let z(u) = 3*u + 1. Let o be z(1). Suppose -o*c + 10 = c. Calculate the highest common divisor of n and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933c (base 14) in base 15?\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18298128 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.204 + -0.096. Which is the biggest value? (a) 0.4 (b) 2 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 47 = t, 835*f - 836*f - 17*t = 463 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -3. Let y = 10.5 + -17. Let z = y + p. Which is the nearest to 1? (a) -5 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-14)*53\/(-106). Which is the biggest value? (a) 2\/3 (b) y (c) -1.5 (d) -1 (e) 8.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -298*t**2. Let v(z) = -50*z + 55394639 - 55394639. Determine s(v(g)).\nAnswer: -745000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 229993?\nAnswer: -3\/229993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 367380 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*m - 57*m - 66*m)*(0*m - 3*m + m) + 0*m + 0*m + m**2 + (-3*m + 3*m + m**2)*(-1 - 2 + 4) - m**2 + m**2 + 2*m**2 - 3 + 3 - m**2 + m**2 + 2*m**2 - m**2.\nAnswer: 173*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8412 grams in kilograms?\nAnswer: 0.0088412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 7*n + 4. Let r be (-534)\/(-78) - (-10)\/65. Let z be t(r). Solve -z*m + 3 + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 6276?\nAnswer: 200832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14*2*2\/(-14). Let r = 4 - f. Suppose -2*j = -j. Is j bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 - v + 2. Let i be a(0). Suppose 2*d + 4*f = 462, -3*d + i*d + 3*f + 236 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 39 - 6. Calculate the greatest common divisor of 111 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-20)*10*15\/(-180)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1166*a**4 + 5836*a - 30436564.\nAnswer: 4664*a**3 + 5836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**3\/6 - 6*i**2 + 2*i. Let s = 11 + -4. Let j be v(s). Sort j, -1, -4.\nAnswer: j, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 8*s**2 - 30*s**2 + 9*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -14*a**6\/15 + 5*a**3\/3 + 19*a. What is the second derivative of k(h) wrt h?\nAnswer: -336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from whwkw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/20 + r**3\/3 - r. Let a be z(-2). Suppose -2*p = 4*s - 80, -a*p + 120 = 4*s - 6*s. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9.1, 1.\nAnswer: 1, 3, 9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhlhlllehhhhaahh. What is prob of sequence lah?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 - 224. Let d be ((-36)\/30)\/(q\/(-50)). Suppose -3*g + c = -c - 17, 2*g = c + 11. Calculate the greatest common divisor of g and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14*f - 39681 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5021?\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t**4 - t**4 - 7*t**4 + (t**3 - t**3 + 2*t**3)*(-1 - t + 1) - 3*t**4 + t**4 + 3*t**4.\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -55, -430, -513?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 21 - 139*l**3 - 25*l**5 - 21 - 21*l**3 + 100*l**4 - 25*l + 128*l**2. Suppose d(h) = 0. Calculate h.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1670*f + 81840. Give j(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 16*i - 11*i - 22 = 0, -7*i + 22 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 8149426.\nAnswer: 15\/4074713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a95a26 - 23?\nAnswer: -a95a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*u - 45 = -3*u + u, 6*u = 13*t + 8*u - 79 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26056, -26053, -26050, -26047, -26044?\nAnswer: -26041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101010110100?\nAnswer: 101010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**14))\/g**(-24) assuming g is positive.\nAnswer: g**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 11*z - 18. Suppose -4*t + 10 = t. Suppose -z*s + 3 = -a - 0*s, -2*a + 2*s = t. Solve a*o - 4*o = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 3, r: 1, p: 9}. Give prob of picking 4 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 11*m**8\/28 - 11*m**4\/12 + 24*m. What is the third derivative of j(y) wrt y?\nAnswer: 2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*z - 6 = -0*b, -2*z = 6. Suppose 2*s = b*s. Let w(v) = -v**3 - v + 6. Let c be w(s). Solve 3*f - 2*u + 23 = 0, -f - u + c*u - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 - -95. Suppose -n + 4 = -5*n. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**4\/4 - 2*l**3 - l**2\/2 + 14*l + 12. Let d be a(-6). Let r = d + -17. Solve r*j - 12 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(7 + 5 - -2). Let h = 96\/7 + p. Let i = -945\/26 + 73\/2. What is the closest to h in -4, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**4 - 6*w**3 + 3*w**2 + 6*w + 6. Let o = 2 - -15. Let p(z) = 26*z**4 - 17*z**3 + 8*z**2 + 17*z + 17. Let t(c) = o*a(c) - 6*p(c). Factor t(m).\nAnswer: -3*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/10 + -1 + (-3619)\/3080?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a microsecond in nanoseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 5*t - 6. Let a be r(4). Let v = -283 + 287. Suppose f + 13 = v*u - 10, -4*f - 12 = 0. Sort 10, u, a in descending order.\nAnswer: 10, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -39*k**2 + k. Let u(t) = -6*t - 202*t**2 + 659*t**2 + 3*t - 187*t**2 - 191*t**2. Determine -5*a(f) - 2*u(f).\nAnswer: 37*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 0 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1. Let i(v) = 18*v + 38. Let p(m) = -i(m) - 6*x(m). What is the first derivative of p(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1839 + i + 2555 - 1660.\nAnswer: i + 2734","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 1, d: 1, r: 1, v: 2, j: 1}. What is prob of sequence wd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 1829, 6165, 14607, 28523?\nAnswer: 49281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*h**5*l - 284*h**5 + 9*h**2*l - 58*h**2 + 26*l wrt h?\nAnswer: -2040*h**2*l - 17040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 17. Let d be (-3)\/s*1650\/(-45). Suppose -85 = -4*l + d. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 19431*b**2 - 233571*b + 214137 = 0. What is b?\nAnswer: -6489, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -30\/1787 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 2*f + 118. Suppose -3*m + f = 2*n, -2*m - n - 27 = -199. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1004 - 3955\/4. Calculate the common denominator of x and -77\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-11 + 18 - (35 + -14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332 - 1202303?\nAnswer: -1213301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*m**4 - 5*m**3 - 157*m**2 - 3*m wrt m?\nAnswer: -2304*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31741 - 31743. Which is the third biggest value? (a) j (b) 0.02 (c) -658\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*p**2 - 18*p**2 + 23*p**2 to o*p**2 + t*p + q and give o.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 122?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 501416402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00043 + -0.00043. Let y = 1 + -19. Let w be (y\/21)\/(3\/2). Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (9 - 1)) + (32 + 133 - 142)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 1, o: 5, z: 1, y: 6}. What is prob of picking 3 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a*f**2 - 29*a - 15*f**4 - 3*f wrt f.\nAnswer: 16*a - 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.6709976?\nAnswer: 3.354988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (13 - -2)) + -13 + 2 + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u*w**6 + 7712*u*w**3 - 42*u*w**2 - 243*w**4 + 59076*w**2 - 2*w wrt w?\nAnswer: 240*u*w**3 + 46272*u - 5832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + 4*i**5 + i**5 + (4*i - i - 2*i)*(-4*i**4 + 3*i**4 + 4*i**4).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1055 + -1065. Put k, 2\/7, 4, 0 in increasing order.\nAnswer: k, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2 + 21\/4*a + 3\/4*a**2.\nAnswer: 3*(a + 2)*(a + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 - 13*b**2 + 1. Let v(l) = -12*l**3 - 27*l**2 + 1. What is -2*v(z) + 5*w(z)?\nAnswer: -z**3 - 11*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 46760 and 46760 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 25. Let d be i(-10). Suppose -2*z + 9 = 3. What is the second derivative of 20*f**z + 5 - 35*f**3 - d + 16*f wrt f?\nAnswer: -90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 178*b - 2756*b**4 + 2756*b**4 + 10*b**5 - 4*b**3 wrt b.\nAnswer: 200*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -20. Let s(i) be the second derivative of i - 5\/6*i**3 + i**2 + 0. Let f(r) = 6*r - 3. Give l*f(n) + 5*s(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 27*o**2 + 2*o + 114. Calculate the lowest common multiple of 4 and q(-27).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 124. Let n be 7 - y - -6 - 4. Solve 0 = -3*s - 2*q + 15, 0*q - 24 = -n*s - 3*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 5*d + 82. Let k be (-90)\/d + -1*3 + 1. Is 2 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -194428?\nAnswer: -1\/194428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -884, -5, 0, -3, -1, 6 in decreasing order.\nAnswer: 6, 0, -1, -3, -5, -884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8369317, 8369418, 8369531, 8369662, 8369817, 8370002, 8370223, 8370486?\n\"Answer: m**3 + 94*m + 8369222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45219 + -1\nAnswer: 45218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 246, 564, 978, 1470?\n\"Answer: -3*g**3 + 75*g**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338 - -342. Suppose -6*f + 8 = -4*f. Suppose 20 = 2*p - 4*c, 0*p + 4*p + 3*c = -f. Solve -4*b - i*z = 0, p*b - b = z - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a. Let z be l(-1). Suppose z*r + 1 = 2*r - 4*m, 4*r - 3*m + 7 = 0. Let u(c) = 2*c**2 + 1. What is the remainder when 8 is divided by u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 - -133. Let h be (1\/(-1) - -4) + -2. Let g be -780001*h - (-1)\/k. What is g rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 16. List the prime factors of 34 - l - (-7 + 3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 - 31*x**2 - 2*x + 53. Let q be u(6). Let m = 65 - 42. Let w = -8 + m. Solve -5 = q*v - w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 13. Let h(p) = -p**3 + 119*p**2 + 122*p - 222. What is the remainder when h(120) is divided by s*1*(-1)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 11 - 19)*(1 - 2 - 1)*(0 - 3 - 5)*(1 - 1 + 2*o**2) as v*o + u*o**2 + q and give u.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50*(-42)\/840*(-48)\/(-140))\/(1\/147)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7204.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12032, -24076, -36110, -48134, -60148?\nAnswer: -72152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 + 30428*z**2 + 182444*z + 152020 = 0 for z.\nAnswer: -7601, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -d + 3, -3*d = 2*d - 3*s - 25. Let l = -18 - -25. What is the remainder when l is divided by (-6)\/4 + 44\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggygfyfy. What is prob of sequence ygf?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q + 28 = 38*l + 46*q + 212 + 229, 0 = -14*l + 2*q - 152 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*q - 189 = 14*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5610 + 5612. Let t(m) = -4*m**3 - 2*m + 1. Let x(y) = 16*y**3 + 8*y - 5. What is l*x(p) + 9*t(p)?\nAnswer: -4*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1085 and 120898295?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 - 6*a**3 - 16*a**2 + 150*a - 225 = 0.\nAnswer: -5, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 + 8*p - 2. Let l be t(7). Suppose 0 = -2*h + 6 + 18. Let g(f) = 2*f - 23. Let m be g(h). Solve -q - 1 - 8 = 3*d, 3*q - m = l*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 13) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 23.8. Are v and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbkbbskkk. What is prob of sequence bb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849939331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.5 (b) -5\/3 (c) -6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 17*x**2 - 2*x + 9. What are the prime factors of u(-17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859568459 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329190 rounded to the nearest ten thousand?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/24 + 4*u**3\/3 + u**2. Let y be f(6). Solve 2*i - 4 = -2*q, -i + y*i - q = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-756)\/(-98))\/(126\/196))\/(2\/(-8))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -214, -419, -624, -829, -1034, -1239?\n\"Answer: -205*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-4)\/(-2) - 13. Let a = -9 - o. Let k be (1 - 3)\/(1\/2). Put 4, a, k in decreasing order.\nAnswer: 4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11631728 is divided by 78065?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 - (-3 + 6)) + (-62)\/(-2) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.272, -24, 0.5 in increasing order.\nAnswer: -24, 0.272, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 311122 (base 4) in base 15?\nAnswer: 102d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1351 divide 596327347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 - -352. Solve 5*h + 28 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 28*r**4\/3 + 8*r**3\/3 + 92*r**2\/3 - 22*r = 0. Calculate r.\nAnswer: -11\/3, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 420333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4 + 662014*b**3 - 300464081*b.\nAnswer: 36*b**2 + 3972084*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47037424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - x + (0 - 2*x + 0)*(2 - 3 - 1) - 4*x + x + 2*x - 6*x + 6*x - 6*x + 2043*x + 2100*x - 3891*x + 1 + (0 + 1 - 3)*(1 + x - 1).\nAnswer: 246*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/60 + x**5\/30 + x**4\/12 + 5*x**2\/2 + 3*x + 94. Let u(c) be the second derivative of j(c). What is u(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-2\/15)*i*(i\/((i**(-6)*i)\/i))\/i*(i*i\/(i\/(i*(i\/(i\/(i\/i**1*i)*i)*i)\/i))*i)**19 assuming i is positive.\nAnswer: i**(977\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = o - 0 - 3, -5*p = -3*o - 47. Let f be (10\/8)\/(p\/112). What is the greatest common divisor of f and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-8))\/(2\/11*(53 + 25275\/(-480))).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20. Let w be r + (4 + -6 - -95). Determine j so that 3*j**2 - w - 3*j**3 + 93 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -5 (c) 0.4 (d) -16135 (e) 1 (f) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 13. Let j be (-1 - 0 - -7) + -1. What is the highest common factor of j and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 + 24*c**2 - 5*c**2 + (-3*c + c - c)*(3 + 2*c - 3))*(-c + 3 - 3)*(-1 + 0 + 2) + (2 + 0 - 1)*(3*c**3 + 3*c**3 - 5*c**3).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.43? (a) -3 (b) -0.6 (c) -5\/11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a - 422 = 8*a + 4403 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a = 52*a - 9, 0 = -2*j - 4*a - 808. Which is greater: j or -430?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.022 - 0.078. Which is the nearest to 15? (a) y (b) -6\/7 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) -0.2 (c) -14220 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 + k - 1 + 8. Suppose -5*r = a - 25, -4*a - 3*r = -2*a - 15. Determine z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/32*(-30)\/25*120\/(-27). What is the nearest to 0.1 in -3\/5, 5, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 1. Let x be k(4). Suppose 5*n = -3*t + n - 8, -t - x = 5*n. Let m = -1 + t. Solve -v = 5, m*v + 7 = -5*w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*(k*k**(-4)\/k)\/k*k\/k**(-30)*k**(1\/14)\/k assuming k is positive.\nAnswer: k**(1081\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4353 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 + 3 - 15*n + 15*n to the form w + k*n + i*n**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 106 = -v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 495 + -57. Let r = v - -662. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273786 - 273785.6. Let o = -1.2 - -0.2. Which is the closest to 0.5? (a) o (b) -0.2 (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315.\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/62 + 133\/558. Let h(j) = -j**3 - 5*j**2 - 3*j + 3. Let d be (-6)\/(-1 - 5\/(-2)). Let i be h(d). Sort -0.3, k, i in ascending order.\nAnswer: i, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -0.024, -0.5, -0.02, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6 - 0)*-22. Suppose -4*p + i = -9. Suppose -p*r = 4*l - 200, -4*r + 19 = -2*l - 141. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2326128*c**2 - 16555*c - 13244. Let o(t) = 2107*t**2 + 15*t + 12. Calculate -6622*o(z) - 6*x(z).\nAnswer: 4214*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3538 - -3542. Let w(s) = 2*s**2 + 2*s - 12. Calculate w(c).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(2\/4*-3). What is the remainder when 2\/(k\/(-50))*-3 is divided by (-12 - 934\/(-30)) + (-4)\/30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/a*a)**(-3\/4)\/(a\/((a\/(a*(a\/(a**(-1)\/a)*a*a)\/a))\/a)*a*a*a**6) assuming a is positive.\nAnswer: a**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + -26 + (13 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 31*h + 140. Let i be m(14). Let y = i - 570. Which is the second biggest value? (a) 0.1 (b) 1\/3 (c) 2\/3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2896 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 101?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128 + 1118 = -6*o + 2*x, 0 = 6*o - 13*o - x + 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 0.5, -21, 2\/19, 5\/4, -100, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**3 + 2*w**2 - 6*w + 7. Let k(b) = -9*b**3 - 2*b**2 + 5*b - 6. Let r = -459 + 454. Determine r*c(i) - 6*k(i).\nAnswer: 4*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 45 = 5*z, -z + 2*c - 3 = -1. Suppose 11*d - z*d - 3090 = 2*s, -3*d - 2*s = -3090. List the prime factors of d.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3074851, 6149719, 9224601, 12299497, 15374407, 18449331, 21524269?\nAnswer: 24599221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 - 167.94. Let x = s + 5.940464. Round x to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l + 8. Calculate the remainder when (-249)\/(-6) + 2\/(-4) is divided by k(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - -604. What are the prime factors of p?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 51. Let a be ((-52)\/(-5))\/(10\/j). Suppose q - a = 33. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/8)\/(231\/(-3388)*22)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*i + 32, 4*t + 0*t + 52 = 4*i. Let c = i + -9. Suppose 0*k - 56 = -c*a + k, 3*k + 6 = 0. What is the remainder when 107 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.037971691, -6\/5, -2\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10908 divided by 3636\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (51 - 2) + 2 + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1269 = -3*u + 6*u. Let x be 6\/(-27) - u\/(-81). Solve x*b + 23 = -2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*w - 6*w - 71 = 0, 0 = -2*k - 3*w + 97. Suppose 3*a - 9 = -2*u + 5, 4*u = a + k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 42. Let i be b(21). Suppose i = -u + 5 + 1. What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45bb (base 13) in base 14?\nAnswer: -37d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s + 2. Let y(p) = 32*p**2 - 4*p - 6. What is 4*v(h) + y(h)?\nAnswer: 28*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6778036 is divided by 767?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2 - 14. Suppose h*f - 31 = 11. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 + -176. Suppose 5*v = 10, -r = -3*n + 2*v + 25. What is the highest common factor of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 366*a + 55. Is d(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x**2 + 52*x - 5. Let o(l) = 5*l**2 + 26*l - 2. Let b(k) = 2*a(k) - 5*o(k). Let c be b(-26). Put c, 5, 1 in increasing order.\nAnswer: c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 4 + 0*i**2 + 4\/3*i**3 + 0*i**4 - 3\/5*i**5 + 0*i. What is the third derivative of p(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 11:17 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 224.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.768924 minutes to seconds.\nAnswer: 166.13544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/4 - 5*v**3\/3 - v - 2. Let q be g(-5). Is q equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j - 75. Let x be b(10). Let z be (2 - x - (-3 - 2)) + 1. Solve -9 = 4*r - v - 1, z*v = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 3*n - 30 + (-3 + 4 + 0)*(2*n + 2*n - 2*n))*(-8*n + 5*n + 7*n) to the form q*n + f*n**2 + w and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118999004.\nAnswer: 2, 281, 105871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*o + 19*o + 9*o**3)*(-2 + 0 + 1)*(629*o - 409*o + 525*o) to the form b + p*o + n*o**2 + x*o**4 + y*o**3 and give x.\nAnswer: -6705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -274825326 to the nearest one hundred thousand.\nAnswer: -274800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12*q - 16*q = -76, 5*q - 8 = l. Let r be ((-117)\/l)\/(-4 - (-77)\/20). What is the greatest common factor of r and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:13 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20661482.\nAnswer: 2, 47, 73, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -d + 5*h, 234*d + 174 = 228*d - 5*h for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - -11.1. Let b = w - 10.5. What is the nearest to 1\/2 in -3, b, 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/40*2*(-40)\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 1, 3, 0.3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -56. Solve 0 = 5*t - 5*j + 4*j - 13, y = -4*t - 3*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61*2\/(-6))\/(31*59\/5487).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g. Let j(l) = -l - 12. Let a be j(0). Is 1 + g - 2 - a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 567354\/41 + -13838. Let m be (0 + 0)\/(4 - 2). Which is bigger: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5627338 micrograms?\nAnswer: 562.7338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 0*d**2 - 2700 + 72094*d - 3*d**2 - 72274*d = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 94. Which is the closest to q? (a) 0.1 (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 902 + -864. Is 355\/9 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**8\/14 - 9*y**5\/10 + 44*y**4\/3 + 311*y. Find the third derivative of g(b) wrt b.\nAnswer: 480*b**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-3 + 2 - (sqrt(1584) + 1)*2 - (3*(sqrt(704) + 0)*-4 + -2).\nAnswer: 2 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*j + 3*j + j)*(32 - 35 + 47) in the form r*j + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 3*t**2 - 2*t + 2. Let u(o) = o**3 - 1. Let z = 0 - -3. Let h(d) = z*u(d) + b(d). Calculate the lowest common multiple of h(-2) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**2 - 512*x - 75. Determine c(-73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 1422.\nAnswer: 41238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + b = -5, -5*b - 142 = -5*v - 13*b. Let r be (-1 - -1) + 92\/6. Is v at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217870?\nAnswer: 2, 5, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 14 + 16. Let q(l) = 11*l**2 - 4*l**2 + 3*l**2 - 4 + 2*l**3 - 6*l**n + 3*l. Let c(d) = 5*d**3 + 11*d**2 + 8*d - 11. Calculate 4*c(t) - 11*q(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eve when three letters picked without replacement from wewekweeev?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*g\/g**(-1)))\/g*g))\/g*g\/(((g*g**(2\/35)*g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4\/7 - 5456*g**3\/7 + 1776856*g**2\/7 + 57042480*g\/7 + 437228100\/7.\nAnswer: 4*(g - 697)**2*(g + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, 0.2, -5.6, 0.774?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 125. Calculate the highest common factor of m and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 354 and 2?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.03 (b) 0.1 (c) -4 (d) -0.5 (e) -2\/7 (f) -11\/16 (g) 2437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -71. Let j = i + 35. Solve -15 = -3*z - 4*b + j, 2*z + 2*b - 10 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 - 276*l**3 + 4010*l.\nAnswer: 24*l**2 - 1656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-15)\/120)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186641797710*m + 186641797710*m + 5*m**3 + 12*m**3 - 20*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1575984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16296 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: How many minutes are there between 5:57 AM and 1:22 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 0. Suppose -y + 5*y - 8 = p. Let -1\/3*s**4 + 0 + 1\/3*s**y + 0*s**3 + 0*s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 2, x: 4, b: 2}. What is prob of picking 1 t and 2 b?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136483555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7614 + -3059. Calculate the remainder when i is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4 + 750876*l + 1225691.\nAnswer: 8*l**3 + 750876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-5)\/(-2))*-10. Let h = -10 - r. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1880\/(-24)*-6)\/(-2). Let i = 290 + x. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*v**3 + 16\/7 - 16\/7*v + 0*v**2 - 1\/7*v**4 = 0. Calculate v.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257339558 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 15 + 5 - 199*k**2 + 2*k**3 + 201*k**2 in the form z*k**2 + c*k**3 + s*k + l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r = 42*r - 275. Is r greater than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 4 = 44*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.1 in -1\/3, -0.5, -0.14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -b - 6, -14*p + 16*p + b = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403 - 399. Suppose 0 = c - t*m - 322, 3 + 291 = c + 3*m. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22142, 22144, 22146, 22148, 22150, 22152?\n\"Answer: 2*i + 22140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 187\/2624 (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -194 - -4?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 7*i + 10. Let s(c) = -c**3 - 13*c**2 - 12*c + 8. Let z be s(-12). Let f be r(z). Solve 3*v = -f*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*g - 6 + 2 + 8, -8*g = 5*g - 17*g - 2*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119210*y**3 + 2*y**2 - 1976371*y.\nAnswer: 715260*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1 - 18 - 18 - 6 + 19*j**2. Let b(a) = -5*a**2 + 10. Let t(k) = -26*b(k) - 6*q(k). Differentiate t(c) with respect to c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -23 - 9. Let z(q) = -2*q**3 - 6*q**2 + 8*q - 4. Let t be z(-7). Suppose -2*d + t = 5*m, d - v*m = 2*d - 163. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y - 13*y**3 + 94*y**3 - 11*y - 15*y.\nAnswer: 81*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7669 and -0.1.\nAnswer: 7668.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 283, 442, 601, 760, 919?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 3*g + 4. Let p be n(-3). Suppose 5*d = -w - p*w - 35, 3*d = -9. Let t(q) = -q**2 - 4*q - 6. Give t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**2 - 4*u + 44. Let y = -35 + 24. Let o(s) = -43*s**2 - 11*s + 131. Let g(f) = y*x(f) + 4*o(f). What is the first derivative of g(p) wrt p?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32600 less than 6774301?\nAnswer: 6806901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31754064 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p + 4. Let w(i) = 17*i + 17. Let r(z) = -6*w(z) + 26*x(z). Let y(l) = -5 + 3 + 2 - l. Give -r(h) - 4*y(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (19 + -15 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 25026 = 4246. Let w = b - -9911. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -1282, -4405, -10486, -20509?\nAnswer: -35458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 16, 366, 3\/10, 5?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 2*t**2 + 2*t - 4. What is v(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 12*h**2 + 263*h + 2420. Let s be d(-10). Let c(o) be the second derivative of -o**3\/3 - 15*o**2\/2 - o. What is c(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*o**3*p + 32*o**3 - 6*o**2*p + 32*o**2 - 2*o + 41 wrt o?\nAnswer: 1284*p + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 783*m*z**2 - 71*m*z + 2834*m - 3*z**2 + 2*z - 15520 wrt z?\nAnswer: 1566*m*z - 71*m - 6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(931) + sqrt(931) + 0 + 0 + sqrt(931) + (sqrt(931) - -1*-1*sqrt(931)) + -1)**2*-6.\nAnswer: -452520 + 2268*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -420\/19 + 4582\/209. What is the closest to 4 in -3\/7, 0.3, -16, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -29acc?\nAnswer: 29aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011010001100 (base 2) to base 3.\nAnswer: 111112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**12)**(12\/7)*(j\/(j*j**(10\/11)))\/j**(14\/5))**5 assuming j is positive.\nAnswer: j**(6492\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 12*y**2 + 11*y - 21. Let l be z(-13). Let u(q) = 3204014*q - 70. Let n be u(l). What is n rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 529318, 529330, 529350, 529378, 529414, 529458, 529510?\n\"Answer: 4*k**2 + 529314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/2 + 111*f**4\/2 - 483*f**3\/2 + 369*f**2\/2 = 0. What is f?\nAnswer: -41, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -194. Suppose 66506 = a + 2*x - 5*x, 66494 = a + l*x. Round a to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12956 and 179\/1932?\nAnswer: 6257748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 111. Let u be n(33). Let t be (438\/(-4))\/(3\/4). Let j = 43 - t. What is the greatest common factor of u and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6648716.\nAnswer: 2, 593, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - 62. Let b = -54 - w. Let z = b - 9. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + 48 + (23 - -1) + -11 + -45?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/12 - 155*t**4\/24 - 83*t**2. Factor u(z).\nAnswer: -5*z*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 2*j**3 + 0*j**3 + 4*j**4 + 27*j**4 - j - 13*j**4 to the form g*j**2 + t*j + k + y*j**4 + f*j**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - 10\/(-3))\/((-2)\/102) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -26) + (-6 - 3) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 + 7.6. Is -1\/4 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*i + j - 47, 4*i + 26 = -5*j for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 3 = -3*s, -3*s - 1 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271073, 542154, 813243, 1084340, 1355445, 1626558?\nAnswer: 1897679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*v**4 - 354*v**2 + 1.\nAnswer: -2112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153\/2 + -76. Which is the nearest to -2? (a) 4 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.121 + -0.021. Let d = 0.47 + -0.27. What is the nearest to t in 4\/3, d, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m**2 + 680*m - 680*m)*(-33*m**3 + 5*m + 7*m**3 - 7*m).\nAnswer: 1066*m**5 + 82*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-25) + 2 + 14\/(-10). What is the second smallest value in -0.4, 6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by -6?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) + -2*sqrt(396)).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7592430 divided by -7592430.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 182 in -1.068, 1.6, -1?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 6*n - 4. Calculate m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*i - 16 = 0, 2*i = -v - 2*i + 19. Suppose 0 = -3*y + 2*p - 6*p - v, 3*p + 24 = 3*y. Solve 0 = y*a - 2 - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x = -45. Let z be ((-7)\/(-21))\/((-1)\/x). Suppose 0 = 7*p - 4*p - z. Calculate the lowest common multiple of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*i**2 + 681*i**2 - 54*i**2 - 569*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92920 = 1614*b - 220426 for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3664 or -260187\/71?\nAnswer: -260187\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 5*a - 160 = 0. Calculate the remainder when 57 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/41 smaller than 283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.223215 to two decimal places.\nAnswer: -29.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58188, 58577, 58966, 59355, 59744, 60133?\nAnswer: 60522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + (-536)\/96 + 6. Let t(m) be the second derivative of 0 - 1\/20*m**5 + i*m**4 + 0*m**3 - 5\/2*m**2 + 2*m. Determine t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -304, -303, -302?\n\"Answer: i - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*j + i - 16 = -102*j, -j + 3*i = 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2 - 1884 + 205*x - 693*x - 667*x + 4*x**2 + 219*x = 0 for x.\nAnswer: -2, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n - 880. Give k(32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - (2 - -4)) - (3 + -72 + 71)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v. Suppose 27*h = -17*h - 82 + 258. Let l(g) be the third derivative of 0 - 1\/24*g**h + 0*g**3 + 0*g + 5*g**2. Calculate i(l(u)).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.389 + 1.611. Suppose -2*u + 0*u - 2 = 4*i, 5*u = 2*i + 7. What is the nearest to 4 in u, h, 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12376)\/(-17))\/26 + 294)*(-21)\/(-49)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p\/((p*p**(10\/3))\/p)))\/p)*p**12)\/(p*p*p**(-2\/15)*p*p\/(p\/((p\/(p*p**(-5)*p*p))\/p))) assuming p is positive.\nAnswer: p**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/554540 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/35, 5\/3, -0.05, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 + -3)\/2)\/(1\/6). Let s = 0.4 - 0.3. Which is the closest to s? (a) j (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.300072 to one dp.\nAnswer: 101.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 268*c**2 + 141*c + 574. Is q(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 339, 10, 0 in increasing order.\nAnswer: -0.5, 0, 10, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + -1 + 1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -748\/23 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (1 + 23 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -65.3. Let p = d - -0.7. What is the nearest to p in 4, 1\/5, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3747 - 2417. List the prime factors of i.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9806 - 9684. Solve 288 = -158*k + t*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -11\/58, 2, 3\/2, -5, 2\/9, -213.6?\nAnswer: -11\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*b - 60 = 0, -223*b + 40 = -8*a - 219*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 209, 320, 433, 548, 665?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o + 2. Let k be q(2). Suppose a = -3*z, -4*z = 3*a + 45 - 55. Put 7, k, z in decreasing order.\nAnswer: 7, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 3, h: 5}. What is prob of sequence whw?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45070*w**4 + 2466*w - 51173*w**4 + 5866*w wrt w?\nAnswer: -73236*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1978872 rounded to 3 decimal places?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000374109164 to 7 decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 157177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, -3\/5, -2, 1214?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4263\/147*30\/15225\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h - 1. Let f(t) = -2*t + 1. Let v(c) = 5*f(c) + p(c). What is v(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16608*d**4 - 19*d**2 + 123*d + 2.\nAnswer: -398592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 6:17 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/25*16000\/(-76800)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3782 in 50, 2\/23, -1\/7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8326 take away 11513.41631?\nAnswer: -19839.41631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52316\/492*96\/880.\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07042363 and -20.5.\nAnswer: -20.42957637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**6\/5 - 2*i**3\/3 + i**2 - 65. Find the first derivative of x(v) wrt v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354535031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5334, -234\/17?\nAnswer: -234\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*d + 21763 = 1899 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r = 1156 + 980 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11114 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) -9.8 (c) 318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 407 - 258. List the prime factors of o.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 36. Let c(p) be the first derivative of -p**3\/3 - 7*p**2\/2 + 2*p + 1. Let t be c(-5). Calculate the greatest common factor of l and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544666 + 3?\nAnswer: -544663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpxppapttbtxxtxtt. Give prob of sequence at.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*w = 2*z - 42, -2*z - 2*w + 46 = 0. Suppose -z*m + 72 = 6. Solve 4*h - t - 11 = 9, 0 = 4*h + m*t - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10179584 is divided by 2511?\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(216)*-1)\/(sqrt(432) - sqrt(48)) - (-1 + sqrt(2) + sqrt(2) + 2 - (sqrt(8)\/(sqrt(4)*4))**2)).\nAnswer: -11*sqrt(2)\/4 + 33\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - g**2 - 6. Let n(j) = -j. Let d be n(5). Let k(f) be the second derivative of f**2\/2 + 44369*f. What is d*k(p) - h(p)?\nAnswer: p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 28 = 5*b, 0 = -5*b + b - 20. Calculate the remainder when i + 4 + 17 + -2 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*t*x**2 - 3*r*t*x + 161*r*t - 749201*r*x**2 - 82917*r wrt x.\nAnswer: -2*r*t*x - 3*r*t - 1498402*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729089?\nAnswer: 3, 192121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-17 - 47) - -57.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021 is divided by 113?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103359*u**2 - 58*u - 546?\nAnswer: 206718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 2, g: 1, t: 2, v: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 889.06 + -898. Let x = 9 + c. Round x to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 655*t**2 - 2608*t - 14. Give m(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(-1)\/6*3. Suppose -35 = -3*z + 5*p + 5, -4*p + 5 = 5*z. Solve 2*m - d*u = m - 9, -z*m + 12 = -u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f)**(8\/5)\/(f\/(f\/(((f*f**(2\/11))\/f*f)\/f)))**(-13) assuming f is positive.\nAnswer: f**(658\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*-2*sqrt(539) + (0 + -2 + sqrt(539))**2 + 4*((sqrt(539) - (2 + sqrt(539))) + sqrt(539)) + 4 + (sqrt(539) + sqrt(539)*1)**2.\nAnswer: -70*sqrt(11) + 2698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 28*u**2 - 1. Let d(r) = -120660*r - 2. Give d(m(b)).\nAnswer: -3378480*b**2 + 120658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6790 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15969122401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -136*g**3 - 15*g**2 - 53*g + 5. List the prime factors of z(-6).\nAnswer: 13, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(325) + -2)*2)**2 + -1*sqrt(325)*-4 - (sqrt(325)*3 + -5 + -1)**2).\nAnswer: -1645 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8070, -8036, -7988, -7920, -7826, -7700, -7536?\n\"Answer: b**3 + b**2 + 24*b - 8096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -289730000 rounded to the nearest one million?\nAnswer: -290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 + -1 + (257 - 426)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 8*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*n**2*y**3*z - 166*k*n**2*z**2 - 3*k*n*y**3*z**2 - n*y**3 + 2*n*z + 4*y**3 wrt n?\nAnswer: -4*k*y**3*z - 332*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 4*t**2 - 199*t - 2. Let z(w) = -8*w**3 + 14*w**2 - 596*w - 6. Give -7*d(o) + 2*z(o).\nAnswer: -2*o**3 + 201*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (5 - 1\/(-1)). Suppose -h*d - 14 = -6*d - 2*o, -d = -3*o - 7. Solve -a - 30 = 3*z + 2*a, -d*z = -4*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 - 42*w + 76)*(0 + 4 + 45) in the form t*w + u and give t.\nAnswer: -2058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -8 - 31. Let n be (-8274)\/(-18) - (-1)\/x - -5. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112 (base 3) in base 6?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 3*p**5\/160 - 3*p**4\/16 + 9*p**3\/16 - 3*p**2\/4 + 3*p + 256. Determine u so that s(u) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 10879.956?\nAnswer: 10877.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -54. Let z(o) = -o**3 + 5*o**2 - 3*o. What is z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*c**3 + 102*c**3 - 200*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2167169 or -2167168?\nAnswer: -2167169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -17. Let k(f) = -f + 7*f**2 + 4 + f**3 - f**2 + 2. Is 18 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 4*y - 1, 3*f - y = 8. Calculate the highest common factor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4045*h - 12130. Calculate i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0696 less than 3?\nAnswer: 2.9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -6813 (c) -1.788\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -960*c + c**3 - 413*c - 138*c + 0*c**3 + 324*c**5 wrt c?\nAnswer: 6480*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -5*f - 0, 0 = -f - 3*m - 15. Let r be f\/33 - 48\/(-22). Suppose 7*z - 25 = r*z. What is the least common multiple of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2107, 8566, 19329, 34396, 53767, 77442?\nAnswer: 105421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 6822 = 2550. List the prime factors of n.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38531)\/1454 + (-7)\/(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + y**3\/2 - y**2 - 2*y. Let j be t(2). What is the nearest to -0.1 in j, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18406335 divided by 3681267?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**2 - 8*g**2 - 7 - 8*g + 9 to the form c + b*g**2 + v*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2500\/(-150)*(-3)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12) - (-14)\/(-6). Let v(w) = 6*w - 5. Let y(b) = -b + 1. Let q be (-116)\/10 + (1862\/95 - 19). Calculate q*y(g) + t*v(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 - 595 = 13*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -43*u + 10. Let m(g) = g + 4. What is -2*m(c) + w(c)?\nAnswer: -45*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20131397\/851299344 - 105\/120649. Find the common denominator of m and 143\/24.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2 + 0 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 11. Let r = c - 0. Suppose i = -y + 4*i + r, -2*i + 4 = 5*y. Solve -v - 2*j + 11 = 0, -y*v + 5*j - 36 + 13 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 + 13*r - 12. Let f be x(8). Let p = f - 10. Suppose -2*h - b = -p, -15 = 5*b + 5. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let u(i) = -i**2 - 11*i - 9. Let g(d) = -u(d) - 6*z(d). What is the units digit of g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**5 + 5*x**4 + 261*x**3 - x**2 - 5*x - 920.\nAnswer: -60*x**2 + 120*x + 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4271694 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*b + 2200, -2*g + 5*b + 480 + 381 = 0. Let h = g - -2. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3*l + 7. Let y be m(5). What is the tens digit of -1 + y - (-55 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -69, -66, -61?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*p*s**2 + l**3*p*s - 186*l**3*s**2 - 3*l**2*s**2 + 7*l*p*s + 13*p*s**2 wrt l.\nAnswer: -12*p*s**2 + 6*p*s - 1116*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + (-42)\/(-4). Let s = -3574 - -3569. Put a, s, -4 in increasing order.\nAnswer: s, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34668 divided by 5?\nAnswer: 34668\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 11. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/549 and 59\/12505.\nAnswer: 112545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30)*2*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3114 + 3114.06. What is the nearest to 0.06 in y, -13, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - (-8)\/2) + (-4294510)\/(-55) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1973*w - 2517*w - 453*w - 4*w + 5*w + 0*w - 1 + 1 - w + (w + w + 0*w)*(4 - 1 - 1) + 5*w - 2*w - 2*w)*(0*w - 3*w + 4*w).\nAnswer: -4938*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u + 4*t = -16, t = -4. Suppose -s - 2*s + 45 = 0. Suppose u*l + l = -r - 4, 0 = -3*r - s. Sort 3, l, -2 in descending order.\nAnswer: 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 524*g + 5135. Calculate o(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 405 - 404. Let g be (a + -2)\/((-140)\/(-180)). What is the smallest value in 0.2, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 510.4 * 5.4.\nAnswer: 2756.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 550\/440*8\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -5, -779, 0.5, -0.0836, 2\/5, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 6) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 8*o + 4114 = 2597 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 - 2. Let b(z) be the second derivative of -z**4\/12 + 7*z**3\/6 + 5*z**2\/2 + z. List the prime factors of b(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, c: 4, h: 1, l: 3, r: 2}. Give prob of picking 1 l, 1 r, 1 h, and 1 d.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*j = -9, -3*k = -30*j + 24*j + 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 68 = 2*j - 0*m, -4*j - 2*m - 154 = 0. Let w = j + 40. Suppose i = -0*i, -w*f + 24 = -4*i. Solve g - f = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117264321 to the nearest integer?\nAnswer: 10829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let b(j) = j**3 + 3*j**2 - j + 1. Let g(s) = -5*s - 7. What is the remainder when g(-5) is divided by b(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*l + 6 = 0, 5*y + 3*l + 23 - 9 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*q + 200*q - 111*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**2 + 0 + 0*w**3 - 1\/2*w**4 + 0*w.\nAnswer: -w**2*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2169225 and 578460.\nAnswer: 8676900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*v = 0, -v - 26 = -h - 5*v. Let i be 13\/4 + 2\/(-8). Solve g - i*g = -h, 5*m = -4*g + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 3*p - 6. Let h be k(-1). Let y(t) = 4*t**3 - t**2 + 2*t + 3. Give y(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 0.1895 (c) -2 (d) 3 (e) -4 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 5, n: 2}. What is prob of picking 1 n and 2 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 893\/2 + -447. Let k = 4.7 + 1.3. Let c = k - 10. Sort 1.2, c, o in decreasing order.\nAnswer: 1.2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 2*y**2 + 2*y - 2. Let f be u(3). Let j = -9 + f. Sort -1, -4, -3, j in descending order.\nAnswer: j, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2 (b) -196 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.983873 to two decimal places.\nAnswer: 11.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, 35\/22 in decreasing order.\nAnswer: 20, 3, 35\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10014101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - q**2 - 5*q**3 + 1 + 2*q**3 - 2*q. Let m be (-56)\/21*15\/(-4). Let r = m - 8. Determine i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 2*m. Let k(g) = 2 - 3*g + g**2 + m + 4*g - 1. Is 27 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 11*v**2 - 7*v - 35. List the prime factors of h(-11).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 2*h - 2. Let r be w(-3). Suppose c + c + r = 0. Let z(m) = -5*m - 2. Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370960, 741848, 1112732, 1483612, 1854488, 2225360?\nAnswer: 2596228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -319770378867 and -0.03?\nAnswer: 319770378866.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 3*d - 4 + 3 + d. Let c be s(8). Suppose 3*o = 7*o - 5*w - 121, 0 = -3*o - 5*w + c. What is the greatest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2. Let q(m) = 234*m + 5 + 9 + 123*m - 148*m. Determine k(q(i)).\nAnswer: 87362*i**2 + 11704*i + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1782, -3619, -5468, -7335, -9226, -11147, -13104?\nAnswer: -15103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 17*l + 15 = 0, l = -3*n - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 9. Let j(g) = 2. Let i be (-1932)\/(-238) + -5 - 4\/34. Suppose -3*a = 6, 5*l - i*l = 2*a. Give l*x(z) - 9*j(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4370 divided by -10?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g + 0*g**5 + 0*g**6 + 0*g**4 - 19\/2*g**3 + 0 - 140*g**2 + 2\/3*g**7. What is the first derivative of i(c) wrt c?\nAnswer: 560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74295446689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1487 - 0.0487. Which is the second biggest value? (a) -2\/67 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16*t**2 + 17*t**2 + t - 14*t**2. Let z be q(-1). Let w be ((-4)\/(-12))\/(2\/z). Which is the third biggest value? (a) -1 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/20*50\/(-6)*-2. Find the common denominator of (-2)\/5 - 253\/30 and w\/(-10) + -3 - 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/5 - 4709*x**4\/5 - 56369*x**3\/5 - 4667*x**2 + 140910*x = 0 for x.\nAnswer: -4697, -10, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 + 5*q - 4. Let d be f(-6). Let y = 108825 - 544074\/5. Suppose -9\/5*p**3 - y*p - 18\/5 + 3\/5*p**4 - 9*p**d = 0. What is p?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 10*c - 12. Let z be b(-11). Sort 5, -5, z in descending order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478, 2289, 5392, 9793, 15498, 22513, 30844?\nAnswer: 40497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0088 + -0.1912. Sort 0.5, -5.1, d in descending order.\nAnswer: 0.5, d, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 135\/4 + 35\/28. Suppose -21*s - 40012 = -k*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*v**3)*(5*v**2 - 5*v**2 - 2*v**2) + (-6*v**3 - 12*v + 12*v)*(6*v + 6*v**2 - 6*v).\nAnswer: -40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*d - 3 = 0, -4*j + 7*j + 17 = -5*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 41*d - 130*d.\nAnswer: -89*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(1\/19))**(-33)\/(s**(1\/6)*s*s\/(s*s*s*((s*((s\/(s\/(s*s*s*s*s**5)*s)*s)\/s)\/s)\/s)\/s))**(1\/36) assuming s is positive.\nAnswer: s**(-6349\/4104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - u + 13 = 0, 1043543*u - 1043547*u - 92 = -12*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26895181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9401 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 the nearest to -2 in -4.456, 7, 3?\nAnswer: -4.456","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 144, 286, 420, 540, 640?\n\"Answer: -g**3 + 2*g**2 + 143*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 1. Suppose -55 = -40*r - 15. Suppose -5*g - 45 = y + 2*y, 2*g = -2*y - 22. Let o(s) = -9*s**2 - 6. What is g*u(f) + r*o(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5801*o - 81010. Calculate s(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1354*a + 5428. Give y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 604626.8077 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 95 = -c + 3*i, -5*i = 2*c - 115. What are the prime factors of (-8)\/20 + 7\/(c\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 27.5. Let k = 1.89 - 46.99. Let o = 45 + k. Which is the second smallest value? (a) o (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/105 and -11\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -104*p - 1. Suppose 3*a + a = -4. Let u be h(a). Suppose -2*v = 3*s - u, -5*v + 4 = -6*v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1076?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 6)*(-3 - 3 + 4) + 2 - 4 + 3)*(4*b + 2*b - 2*b) + (5*b - 4*b + b)*(6 - 2 - 3).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:12 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.27285028 rounded to two dps?\nAnswer: 48.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -8, 1627 in descending order.\nAnswer: 1627, -8, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/((-2)\/10). Suppose -z + 0*z = 2*z. Suppose -a + z*a = n*a. Solve -5*o + 2*o - 3 = a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**4 - 166328*y**3 + 2305860336*y**2 - 10663828338592*y + 85163136790784 = 0.\nAnswer: 8, 13858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 + 5. Let d be q(5). Suppose 0 = d*m + 20, v + 6 = -4*m - 5. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhyhheykhbbyb. What is prob of sequence ybk?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycbc when four letters picked without replacement from uunynnyucufycnubc.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvyvgxvgv. What is prob of sequence xvv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165\/14 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ooobbooobb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74120.\nAnswer: 2, 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -4 - (-2 - 8). Let q(s) = 2 - 3030*s**2 - 1664*s**2 - 3 - 2*s - j. Let b be q(-7). Round b to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 16*y - 16. Let f be q(-2). Let d = 1 - 0.8. Let z = d - 1.2. What is the nearest to z in -0.1, 1\/3, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1538 - 1975. Let w = 5564 + o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90714 divided by -39?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 - -11bc875?\nAnswer: 11bc8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 + 235. What is the remainder when 37 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32967344*g**2*x - 161865103*g**2 + 2*g*x wrt x?\nAnswer: 32967344*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1044, 1918, 2794, 3672, 4552, 5434?\n\"Answer: l**2 + 871*l + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(2\/23))*i**(-8)*(i**(3\/7)\/i)\/(i**0*i) assuming i is positive.\nAnswer: i**(-1527\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/4*((-30)\/9 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**3*(y*y**(-4\/9)*y)**(7\/3) assuming y is positive.\nAnswer: y**(277\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*c**2*g + c**2 - 1577*c*g - 126*c - 649*g - 1346 with respect to c.\nAnswer: -44*c*g + 2*c - 1577*g - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 5\/8*k**4 + 0 + 0*k + 0*k**3 + k**2. Let p(r) = -4*r + 7. Let a(w) = -3*w + 5. Let z(o) = 7*a(o) - 5*p(o). Give b(z(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + 4*(sqrt(833)*-1 - sqrt(833)))) + (sqrt(833) + (6*(-1 + sqrt(833)))**2 - sqrt(833)).\nAnswer: -448*sqrt(17) + 30024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 2*q = -14*r - 88710, 0 = 3*r - q - 66532. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 7*p**2 + 7*p - 6. Let x(i) = i**2 - i - 1. Give -2*l(k) - 14*x(k).\nAnswer: -2*k**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 46*v - 237. Let m(t) = -69*t + 356. Let p(q) = 8*c(q) + 5*m(q). Is p(12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/749355 and 101\/36.\nAnswer: 8992260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 872?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69982 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -187, -191, -197, -205?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75.12651 millennia?\nAnswer: 901518.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-399)\/(-14))\/(-19)*2\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 1. Let r(h) = -2*h - 3. Let x be r(-4). What is the remainder when f(x) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + n - 8733 - 39947 = 0, -12160 = -2*z + n. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-6)*2\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -7*d + 78. Let h = d + 57. Which is bigger: 17 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 6616.\nAnswer: 463120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-399)\/(-3) + 66\/22 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244 - 244 + 167*t**3)*(-3 + 2 + 0)*(-2 + 2 - 3).\nAnswer: 501*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -849940 divided by 2\nAnswer: -424970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from pqppruu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 15. Suppose 5948 = 26*x + 4206. Calculate the remainder when x is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012 + 1120211?\nAnswer: 1201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163108017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000935 is divided by 71485.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 737 + -732. Which is the nearest to 453? (a) x (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124651\/22680 + 911\/162. What is the common denominator of l and -57\/14?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + -20 + (50 - (6 - -5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 712 + -281. Calculate the remainder when w is divided by 4\/(-46) - 3\/((-2622)\/42028).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: List the prime factors of 198270087.\nAnswer: 3, 37, 1786217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-21)*2\/10. Sort -0.4, -0.5, x.\nAnswer: -0.5, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 625\/15 + (1 - (-6)\/(-9)). Suppose 2*g = -g + o. Suppose 2*d - 265 = -3*d. What is the remainder when d is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(112))**2 - (-2 + 0 + sqrt(17)) - -1*(sqrt(68) + sqrt(68) + -1 - sqrt(68)).\nAnswer: 33\/16 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.914141ug in tonnes?\nAnswer: 0.000000000001914141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from ssssssjjssbb?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 times 17884?\nAnswer: -7868.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 9, 19, 29, 39, 49?\n\"Answer: 10*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.303 - -619.303. Let u = -611 + n. Which is the nearest to 0? (a) 3\/4 (b) 3\/7 (c) 3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let u(i) = 564*i**2. What is u(v(a))?\nAnswer: 564*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4778356 divided by -4778356?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.5 + 372702.751.\nAnswer: 372723.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9642 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: Convert 0.144613 milligrams to tonnes.\nAnswer: 0.000000000144613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65856.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102007 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67274689 a multiple of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 11*t**2 + 4*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2413579.69 to the nearest one hundred.\nAnswer: -2413600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5946, 5943, 5938, 5931, 5922, 5911?\nAnswer: 5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((-68)\/170)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 2. Let t = 9.003 - 9.303. Sort f, t, 13 in ascending order.\nAnswer: t, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + o = 11 - 4, -2*s + 4 = 2*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3350880 divided by -39?\nAnswer: 85920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297 + -275.7. Let b = g + -20.271. Let q = b - 1. Round q to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 66*d + 12. Let a be b(1). Solve -12*t - a = -25*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**7\/210 + v**3\/3 + v**2 - v. Let n(h) be the first derivative of o(h). Differentiate n(k) wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11066 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: Factor -u**2\/2 + 27198*u - 163179\/2.\nAnswer: -(u - 54393)*(u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2001)\/(-20010))\/((-2)\/4). Let g = -145\/2 - -70. What is the closest to g in 2\/9, -5, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.27333 nanoseconds to milliseconds.\nAnswer: 0.00006327333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (208\/5)\/(2\/(-170)).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 = 3*x - 12, -6 = -2*t - 3*x. Let o be (4\/t)\/((-3)\/9). List the prime factors of 10 + (3 - (5 + o)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*y + 4 = v + 1063*y, -3*y + 109 = 14*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40519149 by 40519149.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Let x(o) = -r*o + 1 + 6*o - 8 - 3*o. Let b(k) = 3*k + 1. Let u be b(2). Give x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 2*w**2 + 2*w**2)*(8*w**2 - 8*w**2 + 9*w**3).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/40 and 15\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.10809 + 207714?\nAnswer: 207752.10809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -0.24142\nAnswer: 7.24142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5080051 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 times -3.8?\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10375 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from {t: 2, j: 6, k: 1, u: 1, z: 3}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40488.4987 rounded to the nearest integer?\nAnswer: 40488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 - 12*h - 2. Let a be f(3). Solve 0 = -r - 5*u + 8, -4*r + 2*u + 3*u = -a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380700562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3\/10))**(16\/7)\/(x\/((x**(-15)*x)\/x)*x*x\/x**11) assuming x is positive.\nAnswer: x**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = 1. Suppose -270 - 36 = -t*s - 2*d, -3*d = 0. Suppose -i = 2*i - s. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42628561?\nAnswer: 41, 443, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + 0 - (2 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4498 - 4498 + 1632*b)*(-2 + 2 - 1).\nAnswer: -1632*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3641 and -0.5.\nAnswer: 1820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16)\/(24\/(-32))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 500*q**2 - 12500*q.\nAnswer: -5*q*(q - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 21*g - 41. Let q be h(4). Is q not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 18. Let w be t(-3). Let i be 2\/7 - (-1)\/(-7)*w. Suppose i = u - 0*u - 3*j, 8 = 2*j. Calculate the highest common divisor of u and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from racrrrctctvavaataabc. What is prob of picking 2 t, 1 v, and 1 c?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 81 + 31)*(3*m + 0*m + 2*m)*(-m**3 - 1 + 1).\nAnswer: -535*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -7)\/((-1)\/(-49)). Suppose 10*y = -q + 13*y - 6, -5*q + 3*y = -18. Suppose q*k = 3*k + c. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -25*t + 365. What is the remainder when 1357 is divided by f(13)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4 + 4336*n**3 + 458579*n**2 + 8265740*n = 0.\nAnswer: -4228, -85, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 94*d - 9202. Does 19 divide r(165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/5 - 2)*(-6)\/390?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450fb (base 16) in base 11?\nAnswer: -18358a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/10*6280\/314.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*j + 28, 4*j - 3*j = -4*n + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -85234 divided by 109\nAnswer: -85234\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 1 = 2*n + 5*h, 0 = -3*n - 3*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v + 8. Let n(j) = -2 - 10*j**3 - 66*j + 65*j + 0 + 0*j**3. Let i be n(-1). Does 16 divide w(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1406605*u + 1161345 wrt u.\nAnswer: -1406605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 4 = 0. Suppose 4*o - 3*o - 1 = 0. What is the highest common divisor of o and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/3, 3, -21.35, -4 in increasing order.\nAnswer: -21.35, -4, -1\/3, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/129, -0.3, 2\/3 in ascending order.\nAnswer: -6, -0.3, 2\/129, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = 2*w - 18, 3*p + 4 = 4*w. Suppose w = 6*o - 455. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 20, 25, 28, 29, 28, 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265079295 by 2115.\nAnswer: -125333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -1638, -1911, -2324, -2877, -3570, -4403?\nAnswer: -5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*m, -7*g + 9*m + 8 = 3*m + 4*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1236, -807, -4236, -9051?\nAnswer: -15252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + 2*o**2 - 6*o**2)*(-25*o**2 - 9*o + 9*o) + 2*o**4 + o**4 - o**4.\nAnswer: 252*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -3*i - 20*s + 2971, 0 = -3*i + 5*s + 2959. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16271, -23421, -30571, -37721?\nAnswer: -44871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3 + 12. Suppose -v = w + 4*w. Let m(b) = -b**3 - 4*b**2 + 3. Give m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/3 + 2*u**2 - 6*u + 2. Let l = -73 + 67. Calculate r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 4*s)*(-5*s**2 + 5*s**2 - 2*s**2) + s**3 + s + 0*s - 628 + 623.\nAnswer: -s**3 + s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n**2 - 2*n - 4. Let f(i) = 39*i**2 - 5*i - 9. Let b(k) = -7*a(k) + 3*f(k). Let w(g) = g**3 - 11*g**2 + 2*g + 81. Let o be w(10). Determine b(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 4)*(3*b - 5*b + 0*b) - 6*b + 3*b + 2*b)*(-3*b**3 - 2*b**3 - 2*b**3).\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 97\/12, 1, -289, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17 - 22) + 14\/2 + 2. Let w be (-11)\/h - (-4)\/(-4). Which is bigger: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128753*h**3 + 487468*h?\nAnswer: -772518*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*a + 732 = -1109 - 1543 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 12*q - 1. Let c be w(-2). Let i(t) = -2*t**3 - 13*t**2 - 22*t - 27. Let s be i(c). Solve -2*g = 5*p + 1 + s, 4*g = -4*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 17 = 5*b, -4*b - 3 = -5*b - 0*b - g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 228*j + 6493. Suppose -9*w - 2*w + 110 = 0. Let k(v) = v**2 + 114*v + 3246. Let a(n) = w*k(n) - 6*m(n). Factor a(x).\nAnswer: -2*(x + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164.83 - -1.17. Let m = -166 + k. Let b = -1.95 + -0.05. What is the biggest value in -2\/9, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:32 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249862 and 2168.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 67.422 days?\nAnswer: 5825260800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - (-6)\/(-3)) + (-10089)\/(-59). What is the highest common factor of 3306 and d?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g + 44*g + 41*g - 2*g. Put 3, 5, -42, g, 14 in descending order.\nAnswer: 14, 5, 3, g, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86802 - 176015. Let d = t - -140213. Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*j - 15 = 0, j - 9 = -m - 2*j. Suppose m - 3 = -h. Let l(i) = -h + 2*i + 3. Let x(k) = -2*k**2. What is l(x(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 0 + 107 + -250 + (219 - -22).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*r = 530*r + 1950 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + 39. Let m = -8 + b. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236 + 316 + -14 + (-1 - (-8 + 0))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370958 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1916, -0.12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 - 256460*w + 1 - 2 - 6.\nAnswer: -256460*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**5\/35 + f**4\/7 - 260*f**3\/7 - 6451. Let q(j) = 0. Calculate j.\nAnswer: -30, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 64099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 779 + -838.5. Let u = -58.6 - t. Which is the second smallest value? (a) -2\/41 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.30707 - -3.43667. Round y to two dps.\nAnswer: 3.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -0.5, -1, 0, -2\/45.\nAnswer: -1, -0.5, -2\/45, -0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -20. Is 14 a factor of 2\/2*(1 - (-55 + q))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2258*g**3 + 78918*g**2 - 78918*g**2 + 1897*g**3)*(1 - 1 - 2).\nAnswer: -8310*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5\/3 (c) -2\/5 (d) 0.188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12903*l*s**3 - 10686*l*s**2*z**2 - s**3*z**2 + 8*s**3 + 351*s**2 - 3490*z**2 wrt l.\nAnswer: 12903*s**3 - 10686*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31039, 31092, 31145?\nAnswer: 31198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25689, -53529, -81369, -109209, -137049, -164889?\n\"Answer: -27840*m + 2151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -210963?\nAnswer: 23\/210963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/6*18\/15. Is 5 a factor of (-2 - -5) + 5 + k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1053680 and -15\/16648144.\nAnswer: 83240720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:08 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-89)\/42)\/(((-90)\/21)\/(-1)). Let r = -1\/20 - m. Let i = 0.8 + -0.6. Which is the third smallest value? (a) r (b) i (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -298, -445, -580, -697, -790, -853?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n + 2. Let w(m) = -7*m + 16*m + 39*m**2 + 79 - 7*m. Let k(o) = 2*l(o) - w(o). What is the derivative of k(z) wrt z?\nAnswer: -82*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and 40?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*3*-1*sqrt(91)*-1)\/((sqrt(112) - -1*sqrt(112)) + sqrt(7) + (sqrt(567) - sqrt(567)*-4)))**2.\nAnswer: 13\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2096*n**3 - 52*n**2 + 11?\nAnswer: -12576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3254589 is divided by 2009.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + (17 - 4 - (0 - 7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -45200 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46930 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*p - 0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 34*m**2 + 133*m - 151. Give t(30).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57520 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2\/11, 4\/25, -256049, -4\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.83 + -0.17. Let p = r - -3. Let v be (12640\/90)\/16 - 9. What is the biggest value in -1.3, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 5*y + 25, 24*c - y - 5 = 27*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14430 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 350.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/43 in 1\/3, -0.8, 1.8, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 9, 3\/10.\nAnswer: 3\/10, 0.9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 123.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 15. Give t(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhehhhhhhmhhmhhhmem. Give prob of picking 1 h, 1 m, and 1 e.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u + 2 = 0. Let d be -2 - (-3 + 1) - u. Suppose -5*i + 3*b + d*b + 185 = 0, -64 = -2*i - 3*b. Solve -5*m = 5*a + i, -2*a - 12 = -0*m + m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 219*v**2 + 219*v**2 + 646*v**3.\nAnswer: 646*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257341364 by -1.\nAnswer: 257341364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 27*b - 1. Let l(u) be the third derivative of -55*u**4\/24 + u**3\/3 - 28*u**2. Let w(f) = -3*l(f) - 5*r(f). Is w(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846283560?\nAnswer: 2, 5, 11, 4196099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m + 7 - 17 + 8)*(0*m**4 + m**4 + m**4).\nAnswer: -26*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 4, 28, 0 in ascending order.\nAnswer: -2, 0, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 3*h)*(4 - h - 4 + 1)*(-18 - 33 + 25)*(-3 - 3 - 3).\nAnswer: -234*h**2 + 234*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from dhdddddddddhddddddd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.12?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 83. What is the remainder when (-33)\/(((-9)\/(-2))\/(-3)) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, k: 2, h: 4, n: 1}. Give prob of sequence hnhh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*(-5)\/(-45))\/((-50)\/225)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -19*p**3 + p**2 + 2*p + 1. Let y be s(-1). Suppose 5725 = 24*g - y*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022536 to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**5 - 8*q**5 - 4*q**5 + 24*q + 3*q**5 - 24*q + 5*q**5 - 3*q**5 - 3*q**5 + (3 - 3 + 2*q)*(q**4 - q**4 + 2*q**4).\nAnswer: -19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from iiivtiiiiivkit?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3361163 rounded to 2 dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-32)*f**(2\/5)\/(f\/(f*((f*f*f**(-2\/5))\/f)\/f)))**(8\/9) assuming f is positive.\nAnswer: f**(256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/((-4)\/(-608)) + 4. Calculate the highest common factor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -17*q. Suppose -3*i + 3*j = -138, i + q - 55 = -2*j. Calculate the remainder when i is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) -1\/4 (c) -37\/2 (d) -3 (e) -4\/7 (f) 0.1 (g) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -198 (b) 2\/5 (c) -89 (d) -7 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 1\/2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 + 195*i**2 - 15*i + 966. Calculate h(65).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312*v**5 + 2*v**2 + 501*v?\nAnswer: -6240*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7)\/(-9)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -12194.\nAnswer: -36582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 288, 574, 874, 1194, 1540, 1918, 2334?\n\"Answer: f**3 + f**2 + 276*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8) + 40\/(-160)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 12, 5*p - t - 2 + 5 = 0. Suppose 4*b = -2*k + 3024, -3*k + 2*b + b + 4509 = p. List the prime factors of k.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(21)\/sqrt(3))*4*1.\nAnswer: -20 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (306\/(-85))\/((-4)\/10)*50\/150?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -253, -583, -1075, -1747?\n\"Answer: -3*p**3 - 54*p**2 - 3*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61497 and -0.3.\nAnswer: 18449.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*u + 2303 - 2339 = -d, -20*d + 3*u = 128 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -i. Suppose 0 = 4*d + 4*v - 5*v - 130, -5*v - 155 = -i*d. Calculate the common denominator of (-39)\/d - (-3)\/(-3) and 40\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t + 3 - 3 to f*t + v and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324623, 649245, 973841, 1298399, 1622907, 1947353, 2271725?\nAnswer: 2596011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 405 - 380. Is 7 a factor of ((-60)\/c)\/(5\/(3 - 253))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + j - 1. Let c be f(1). Let x = -241 + 243. Suppose -2*y = y + x*h - 17, -c*h + 8 = 2*y. What is the highest common divisor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2 + 5788*z**2 - 5789*z**2 - 2. Let q(g) = -2512*g**2. What is s(q(h))?\nAnswer: -6310144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/4))**(2\/115))**(-21\/2) assuming i is positive.\nAnswer: i**(-63\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 1. Give s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -157. Suppose -5*g = -b + 39. Solve -2*p = -g - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000652548636 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*g + 21889 = -172*g + 226*g for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-5)\/(-170) - 4526\/(-34). Find the second derivative of -r - 94*l + 133 + 75*l**5 wrt l.\nAnswer: 1500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnpfenfnkpnfffpkkfp. Give prob of sequence pkkk.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u. Let h(k) be the first derivative of k**2\/2 + 2. Let y(r) = -f(r) - 3*h(r). What is the smallest common multiple of 6 and y(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 382, 415, 464, 535, 634, 767, 940?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -67 - 1. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83233\/957444 + -1\/41628. Let k = 156 - 90. Which is the third smallest value? (a) k (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**7\/840 + v**6\/72 - v**5\/40 - v**4\/8 - v**3\/6 - 5*v. Let h(b) be the second derivative of m(b). Calculate h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g - 3. Let b be r(-3). Let m = 63 - b. Let j be ((-11)\/(33\/78))\/(6\/(-3)). What is the greatest common factor of j and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/17 and (-5 + 6)*3\/21.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 110100011110101010?\nAnswer: -110100011110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*w**2 - 93*w**2 - 109*w**2 - 83*w**2 to l*w + b + q*w**2 and give q.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c9095 - -4?\nAnswer: 3c9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 2.9, -37, -78, -3, 0.02?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/18937 + 151505\/56811. Suppose -2\/3*q**2 + 0 + v*q = 0. What is q?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (13\/((-52)\/384) - 4\/(-1))*-4 and 36.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2556 and 3346656?\nAnswer: 10039968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*n - 27*n - 117. Let g be (-3)\/10*(-26)\/n. Which is smaller: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359439864 is divided by 4013?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*c - 2*f - 3*f + 2*f, f - 5 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248545 - 289502 + 1091167 = 15003*j for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11779.5 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641 is divided by 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43188 + -43016. Which is the second biggest value? (a) 1\/13 (b) h (c) -4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3746250786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 12:31 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637701 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.231 + -8.2441005?\nAnswer: -8.0131005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*-1*2)\/((sqrt(88) + sqrt(88)*-2 - sqrt(88))\/sqrt(11)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*r + 20*r - 18 - 28*r to the form t*r + a and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 2\/64551, -5.\nAnswer: -5, 2\/64551, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153.21 - 154. Let g = 487.39 + -487. Let k = g + i. Which is the nearest to 0.1? (a) -3 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400.7 + 400.4. Which is bigger: 2.4 or i?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 493 + -753. Let f = c - -262. Solve r + 4*r = -f*k + 7, 4*r + 5*k = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/39 and -1448 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**3 - 4*q**2 + 5*q - 72. Does 11 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 738 + -672. Is z at most 337\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.63 - 1.37. Let i = 1.11 + -1.21. Let j = -1.4 - -6.4. Which is the closest to i? (a) -1.3 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*v - 4, -q - 3*v + 4 = -2*v. Suppose -4*p + q*z + 52 = 0, -4*p - z + 39 = -1. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21))**(1\/36)\/(f**(-1\/30)\/(f\/f**(1\/43))) assuming f is positive.\nAnswer: f**(367\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:12 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 170375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446 and 514907.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.5. Let l = 87396.5 + -87392.5. Which is the third biggest value? (a) w (b) 5 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.3 (c) 0.14 (d) 2\/3 (e) 0.4 (f) 757.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*r - 17 + 1, -4*r + 4*s + 8 = 0. Suppose -r*a = 12, -2*f = -a - 6 - 5. Suppose -d = f*d - 3*b - 114, 0 = -d - 4*b + 32. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -159. Let j = n - -18. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2240*r**3 - 1144*r**3 - 1097*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 2*y, 3*r = 5*r - 5*y - 27. Suppose -8*f - r*f + 1218 = 0. Is 87 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 2 (c) 5 (d) -3 (e) 1 (f) 19731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00521731 rounded to 5 dps?\nAnswer: -0.00522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 2*z + 2. Let v(f) = -f**3 + 113*f**2 + 816*f + 2908. Calculate the least common multiple of v(120) and r(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**2 + 1407*q + 60220. Give i(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)*y)\/y**(2\/5) assuming y is positive.\nAnswer: y**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 2 + 5 - 263*h - 13.\nAnswer: -263*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 7*q = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293346 + 293371.1258. What is t rounded to one decimal place?\nAnswer: 25.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001895488 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.584 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26117950 + -40622950. What is l rounded to the nearest 100000?\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -2 + -2*sqrt(192))**2 - (-2*sqrt(192) + 5 + sqrt(192)) - ((-5*sqrt(3)*2*-6)**2 + -2).\nAnswer: -10607 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7451 times 0.49\nAnswer: -3650.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4598 - 3131. List the prime factors of d.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 19*m + 34. Suppose 5*s = 12*y - 14*y - 49, -s - 3 = 0. Determine a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 9*d**2 + 9*d - 7. Let w be b(8). Find the common denominator of 1 + (68\/(-88) - w) and -3\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 8, 11 = -p + 5*y + 59. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72689?\nAnswer: 72689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 728*n**5 - 2*n**3*p - 403*n + p wrt n?\nAnswer: 14560*n**3 - 12*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*q - 171*q + 7496 = 0. List the prime factors of q.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250320113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/((-4758)\/(-117)))\/((-57)\/2)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*j + 352631, 3*j + 5*s - 127299 - 225331 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(-3*6\/(-108))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2529, -2758, -3121, -3612, -4225, -4954, -5793, -6736?\n\"Answer: s**3 - 73*s**2 - 17*s - 2440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11922, -23763, -35514, -47169, -58722, -70167, -81498, -92709?\nAnswer: -103794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393549033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12401662*y**4 + 4*y**2 - 501265 wrt y?\nAnswer: -297639888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(-3*sqrt(32))*5.\nAnswer: -5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7295*n**2*u**4 - 4*n**2*u**3 + 4*n**2*u - 26*n**2 + 20*n*u**2 + 2*u**2 wrt u.\nAnswer: -175080*n**2*u - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.1. Let q = 6968209\/31 - 224781. What is the closest to 0 in a, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1063 + w + 528 + 535. Let y(d) = 11*d - 10. What is y(x(c))?\nAnswer: 11*c - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -732 - -513. Let d(c) = -14*c**3 + 3*c**2 + 2*c. What is the remainder when (-1 - (-8)\/12)*g is divided by d(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 47693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/45*1\/28. Let n(u) be the third derivative of 0*u**3 - 1\/180*u**6 - j*u**7 + 0*u + 1\/90*u**5 + 1\/36*u**4 - 2*u**2 + 0. Factor n(a).\nAnswer: -2*a*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 42) + 6 - (-23 - (-45 + 18)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-30) + 22\/6. Suppose -o*q = -y - 5*q + 13410001, 0 = 2*y + 4*q - 26820004. Round y to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 296 in -5\/4, -1\/6, 0.2, 114\/11?\nAnswer: 114\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 3*o + 11. Let a(g) = -g**2 - g + 2. What is a(v) + m(v)?\nAnswer: -3*v**2 + 2*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36569.\nAnswer: 13, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207781 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4009 or 4140\/11?\nAnswer: 4140\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0151 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*p + 5902, 0 = 2*m - 3 - 1. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1524.4 to the nearest 10.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 29 = 188. Let y = p + -140. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1360\/270)\/(-2)*(-42)\/(-1344)*-24?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 86513, 3, 0.3, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 40\/(-15). Let m be (t - 0)\/(2\/(-22)). Suppose 2*h = h + 11. Calculate the highest common divisor of h and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let b(n) be the second derivative of 0*n**3 - 2*n - 2*n**3 - n + 3*n**3. Determine s(b(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - 71. Let v = -83 + k. Let l(i) = 17*i - 7. List the prime factors of l(v).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2 - 2*g + 7. Suppose -3*z = t - 17, -5*z - t = 2*t - 35. Suppose 0 = z*i + 13 + 11. Is o(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-8)*a**(1\/31)*a assuming a is positive.\nAnswer: a**(311\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42877097, 42877095, 42877093, 42877091, 42877089, 42877087?\nAnswer: 42877085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-6)*2 - 1. Let x(r) = u + r - r**2 + 2*r - 8*r. Let d be x(-6). Let m(v) = -3*v + 1. Determine m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 + -110?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 34 = 22. Suppose 2*v + 3*v = 3*n + 16, -3*v + 15 = 0. What is the least common multiple of n and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 4:28 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-2)))**(4\/5)\/(l**10*l**(-14)) assuming l is positive.\nAnswer: l**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -127 in descending order.\nAnswer: 5, -1, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (280*y + 230*y + 190*y)*(-5*y - 21*y - y**2 + 25*y - 2*y**3 - 3) to the form w*y**2 + n*y + d*y**4 + a*y**3 + b and give w.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198364758?\nAnswer: 2, 3, 33060793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let c be 1*(2 + -77)*-1. Suppose 4*l - 13 = c. What is the least common multiple of a and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**4\/8 - 15*v**3\/2 - 537*v**2\/8 - 405*v\/4 = 0?\nAnswer: -5, -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 34*d**2 - 110*d - 3734. Calculate t(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 464 + -464.62. What is the third smallest value in w, -3\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40130*4\nAnswer: 160520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f - 154. Suppose -98*u = -99*u + 16. Let s be a(u). Suppose 23 + 31 = 3*y. What is the greatest common factor of s and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 629472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410915 to the power of 1\/2, to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v - 7. Determine s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1110001011100010?\nAnswer: -1110001011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 - 33) + 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**2 + 2*d**2 + 4*d**2 + 3*d**2. Let j(k) = 4*k**3 + 12*k**2. Suppose 0 = -18*u - 44*u + 62. Calculate u*j(o) + 10*f(o).\nAnswer: 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4603.1 * 2\nAnswer: -9206.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (2*(sqrt(99) + 0))**2)*1 + ((-5*1*sqrt(55))\/sqrt(5))**2*-4.\nAnswer: -704 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2018, -3, 0.1, 1.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*d + 16, 5*g + 24 = -5*d + d. What is the third smallest value in 0.4, g, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/114)\/((-3)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010960325 rounded to five decimal places?\nAnswer: 0.01096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 144605688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - p**2 - 23 - 7*p + 0*p + 154*p**3 + 7.\nAnswer: 154*p**3 + 2*p**2 - 7*p - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**5\/5 + 17*k**4 + 2*k**3 - 127*k**2 - 5172. Find the third derivative of p(i) wrt i.\nAnswer: 48*i + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 270*d - 11. Let k be 4\/3 - (-5 + 52\/12). Is a(k) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48 and -36.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*i + 31 = 5*d, 2*i = 3*d - 13 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*(w*w\/(((w\/w**(-1\/11))\/w*w)\/w))\/w)*w*w**(2\/37))\/((w*w**(-2))\/((w**(1\/2)*w)\/w*w)))**(1\/9))**(1\/35) assuming w is positive.\nAnswer: w**(1339\/256410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 590 - 588. Let f = 26 + -26.11. Which is greater: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = -15. Let g(f) = f**2 - i*f**2 + f**2. Let k(p) = -p. Give k(g(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 5664180*z**3 + 2*z**2 - 223724610*z wrt z.\nAnswer: 40*z**3 - 33985080*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 3 - 4\/(24\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101276 divided by 7234?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8487 - 4980. Suppose -4*j = a - q, a - 3972 + 469 = -3*j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848.4679ms to nanoseconds.\nAnswer: 848467900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-490))\/((-9)\/(-21)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -16. Suppose 0 - o = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*j - 5*j**3 - 22*j**3 - 16*j - 6 wrt j.\nAnswer: -162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(405) + sqrt(405) - sqrt(405))**2*-5 + -4)*-6 + 1.\nAnswer: 24349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (181\/(-166) - 2) + (6 - 2) + -1 and -41\/1660?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-1*sqrt(3))**2 + sqrt(12)\/sqrt(4) + -5)*6 - (-2 + (sqrt(15)\/sqrt(80))**2 + sqrt(27)\/(sqrt(36)\/sqrt(4))*-4).\nAnswer: -14*sqrt(3) + 1469\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(40)\/(sqrt(16)\/sqrt(4))))\/(sqrt(3)*2*6*-6).\nAnswer: -sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 5*b = 126. Calculate the smallest common multiple of 1607 and b.\nAnswer: 9642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 22?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597986423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-3*sqrt(100)).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5104 + -3570. Suppose -4*k = 2*a - g, -a = -4*k + 293 + 1232. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 = -3*j, -3*j + m + 4 = -3. Let t(v) = v + 6. Let c be t(-6). Suppose c = 2*z + j*z - 20. Solve -g = w - 0*g + z, 20 = 5*w - 5*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 9*q**2 - 61*q**4 + 70*q**4 + 7*q**2 + 99 in the form l*q**4 + g + d*q + c*q**2 + n*q**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -142613?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1364 and 248.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -192, -350, -570, -852, -1196, -1602?\nAnswer: -2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257918469.\nAnswer: 3, 47, 1829209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 30914133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f + 2. Let d(n) = 11*n + 3. Let o(y) = -6*d(y) + 10*u(y). Let w(l) = l**2. Determine w(o(c)).\nAnswer: 36*c**2 - 24*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 + 37*o**4 + 132*o**3 - 17608*o**2 wrt o.\nAnswer: -120*o**2 + 888*o + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -206.68. Let a = 4.32 - n. Which is greater: a or -33?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h. Suppose -1 - 16 = -5*s + 2*y, 0 = 2*s + y - 5. Suppose 0 = 4*w - 4*r - 52, -s*r = w + 1 + 6. Let a(f) = -4*f. Calculate w*a(i) + 5*o(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6810517 millennia in years?\nAnswer: 681.0517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230023 - -21?\nAnswer: -230002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-4*sqrt(170)*1)\/(sqrt(100)\/sqrt(160)))*2 + 5)**2.\nAnswer: -576*sqrt(17) + 17489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101471, -101476, -101499, -101546, -101623?\nAnswer: -101736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let x be ((-32)\/4)\/(d\/(-2)). Solve -4*q + x = -3*n, -4*q = -4*n - 2 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 14*v + 4. Suppose -c = c - 10. Let i(w) = -2*w**2 - 9*w + 3. Let d(b) = c*m(b) - 8*i(b). Determine d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -5, 0, 10 in ascending order.\nAnswer: -5, 0, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/24 + (4\/(-6))\/(-2). Suppose r*w**2 + 1\/4*w**4 + 0 + 0*w - 1\/4*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riir when four letters picked without replacement from riiirrirriiiirririrr?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22) + (-36 + (-608504)\/(-12012) - 14)?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -36, -60, -86, -114, -144, -176?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.4. Let f = -894 - -892. Sort f, -1, k in decreasing order.\nAnswer: k, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**3 - 10*y**3 - 17*y**3 + 3*y**3 + 0*y**3 - 2*y**3 + (5*y**3 - 2*y + 2*y)*(0 - 1 + 0) + y**3 - 3*y + 3*y.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(960)*3)\/(sqrt(20)*-2))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -31*a - 7. What is the tens digit of i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**4\/9 - 926*m**3\/3 + 2572*m**2\/3 + 5570*m\/9 - 3500\/3 = 0. What is m?\nAnswer: -350, -5\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154548 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 806, 690, 496, 224?\n\"Answer: -39*b**2 + b + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**3 - 5*n**2 - n - 3. Suppose 3*f = -4*i - 9, 0*f - i = 3*f. Let b(k) = k**3 + k**2 + 1. Determine f*w(j) + 5*b(j).\nAnswer: -j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -477.9 - -479.8551. Round d to 2 dps.\nAnswer: 1.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1085 and (-6)\/(-10) + 21\/49*(-1771)\/1240?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*y - 11 = -3*r, 5*y - 25 = -5*r. Suppose w = -4*u + 35, 60 = r*w + 5*u - 2*u. Let m = w + -96. Which is bigger: -70 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -736 by -2.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4767 - 1824. Suppose -15*g + 9657 + h = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 8*h - 21*h + h**2 + 29*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -4*o. What are the prime factors of (-35 + -6)*(-2 - o)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244922.\nAnswer: 2, 151, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 52. Let b(s) = 2*s**2 - 8. Let n be b(-5). Let y = n - 5. Calculate the remainder when y is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 5. Let k be d(-3). Suppose -6 - 2 = k*c. Sort c, 4, -0.5 in decreasing order.\nAnswer: 4, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvs when three letters picked without replacement from ssvj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 2*f - 9*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y + 85. Let v be i(-5). Suppose 27*u + 2*r - 14 = v*u, -2*u + 17 = 3*r. Solve 0 = 3*b - 4*b + u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.114, -0.3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-112698)\/(-21) + -4)\/(-26). Let o = 1437\/13 + s. Let j = 96 + o. Sort j, 0, -0.2 in descending order.\nAnswer: j, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 3*l + 2. Let b be x(-3). Let v(f) = -3*f**2 - 45*f - 28. Let p(q) = -2*q**2 - 30*q - 19. Let o(k) = b*p(k) + 5*v(k). Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (25716\/(-15))\/((-82)\/820)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 721853 and 5.\nAnswer: 721858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 2 e when four letters picked without replacement from eavdedhk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2207099 rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/25)\/((264\/(-55))\/6) + 6?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 + -158. Let u be (5540\/(-6))\/(y\/60 - 1). What is u rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/51)\/(-55)*-9.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*r - 1 = 0, -5*u + 4*r - 3 = -0. Suppose -15 + 1 = -2*b. Let a(k) = 4*k + k**2 - b*k**2 - 3*k. Give a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 190, 4, 2\/5, -2 in ascending order.\nAnswer: -61, -2, 2\/5, 4, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3001846?\nAnswer: 2, 307, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 81947.02 times 0.1\nAnswer: 8194.702","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*17\/17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*w - 4491 = 1660*w + 1161 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/45 and -92\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*((9*r - 20*r - 9*r)*(2 - 1 - 2 - 4 - 1 + 3 + (2 + 0 - 1)*(2 - 4 + 0) + 0 - 2 + 4 - 4 + 0 + 6 - 3 + 6 - 5 - 1 + 2 + 1) - 5 + 5 + 3*r).\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/31 - ((-34)\/(-12))\/1.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208) + -1 + sqrt(208)))**2 + sqrt(52)\/(sqrt(4) + 1*sqrt(4)).\nAnswer: -15*sqrt(13)\/2 + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from lokoyttyykoyto?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676068 and 1696?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2. Let c = -52 - -106. Let k = c - 46. Suppose -k*x - 12 = -4. Calculate u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*t + 72, -2*a = -2*t - a + 48. Factor 31*v**2 + 27 - 72*v + 143*v**4 - t*v**3 - 140*v**4 + 35*v**2.\nAnswer: 3*(v - 3)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 - 8*y + 11. Let q(w) = -5*w - 7. Let r be q(-2). Let m be j(r). What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)\/(s**(2\/13)\/s)*(s**2)**22)**(-18) assuming s is positive.\nAnswer: s**(-114966\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aybagbhbhabagb. What is prob of sequence aaag?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.97 + -0.03. Let j = -2.1 - o. Let x = -4.01 - -4. What is the nearest to x in 4, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66532274 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51109*n**3 - 81034*n wrt n.\nAnswer: -306654*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = d - 5 + 1, 0 = -d + 3*t. What are the prime factors of ((-16)\/d)\/((-2)\/9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-2 - 2\/(-2)). Let a be b\/((-6)\/(-3)) + 9. Let z be (1 + 0)\/((-11)\/(-660)). Calculate the greatest common factor of a and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 171361, 172879, 174397, 175915, 177433, 178951?\n\"Answer: 1518*f + 169843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*h**4 + 0*h + 2\/5*h**5 + 0 - 18\/5*h**2 - 18\/5*h**3 = 0. What is h?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 31 = 5*a - 9, 0 = -5*u + a + 22. Suppose -n - u*r = -35, 0 = 5*r - r. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/70)\/((32\/787820)\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from ddojfdfxnnjo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47485 - 23698 - 513*t - 23787.\nAnswer: -513*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.9 (b) 1 (c) 1.146 (d) 4 (e) 2\/15 (f) -1 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 777418894 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -213330301 (base 4) to base 12\nAnswer: -7a841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4579759 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m + 20*m - 20*m - 4 - 9*m - 19*m - 14*m.\nAnswer: -7*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(2*12\/4)*1329?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3387*i**4 - i**3 - 454*i**2 + 8265468*i wrt i.\nAnswer: -40644*i**2 - 6*i - 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753 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: What is ((0 + 3)*(-2)\/(-7 + 1))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74975468.9999874 - 74975461. Let m = -23 + 15. Let o = m + w. What is o rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:56 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 45 + 43. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127348.\nAnswer: 2, 13, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -29. Let i be 13\/20 - 14\/l. Put i, -2, 0 in decreasing order.\nAnswer: i, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1272668018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/8)*l**3*(l*l**(-1\/4))\/(l\/l**(-5))*(l**(2\/5)\/l**(-3))\/((l**2*l)\/(l**(-2\/3)*l)) assuming l is positive.\nAnswer: l**(-197\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3350*z**2 - 12*z - 6. Let t(o) = 1675*o**2 + 2*o + 2. Let c(r) = 2*j(r) + 5*t(r). What is the second derivative of c(p) wrt p?\nAnswer: 3350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694646.\nAnswer: 2, 23, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -29.71. Let d = 3.69 + y. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069156*t**3\/3 - 36353372*t**2 + 210939*t - 306 = 0. Calculate t.\nAnswer: 3\/1034, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -27. Suppose -3*z + 13 = 4*m, 0 - 11 = -5*z - 4*m. Put z, -2, r in descending order.\nAnswer: z, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/5, -0.3, 0.02 in increasing order.\nAnswer: -0.3, -0.2, 0.02, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1297, 1295, 1291, 1285?\n\"Answer: -i**2 + i + 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2892180063.\nAnswer: 3, 17, 29, 523, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2 + 7504344*t - 4692931572528 = 0?\nAnswer: 1250724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4930 or -5?\nAnswer: 4930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*p**3 - 17489*p**2\/7 + 184295*p\/7 + 1339713\/7.\nAnswer: (p - 29)**2*(329*p + 1593)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 3*z)*(6*z**2 + 0*z**2 - 4*z**2) + 2*z - 1408 + 0*z + 1694571*z**3 - 1694568*z**3.\nAnswer: 7*z**3 + 2*z - 1408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/119, 0.2, 12, 0.\nAnswer: -8\/119, 0, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 85 = -5*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 2*w**2 + w - 2. Let r be b(-2). Suppose -o - r*s = -0*o + 6, 3*o = -5*s + 10. Let t = o + -9. What is the remainder when 4 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 56*l + 7320. Determine s(-131).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7746 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2608697\/6 + -431691. Let x = 3112 - t. What is the common denominator of 61\/27 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -115, -230, -383, -574, -803, -1070?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2918 - -2942. Calculate the highest common factor of f and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2687 in 2.6, -14.5, 5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39850 - -39854. What is the fourth smallest value in -0.3, 0.2, 4.26, v?\nAnswer: 4.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 7*a + 1. Suppose 3*s = s + 2. Let g be 18\/(-4)*-2 - (s - -3). Determine k(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 115 = -h + 2*h, 5*n + h - 559 = 0. Suppose 0 = 13*j - 19 - n. Calculate the smallest common multiple of 43 and j.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4 - 5. Let o = m + -0.4. Let c = -0.02 - -0.32. Is o not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14576 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s = 2*q - 68*s - 4, -4*q = -5*s - 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - 2*b + 0*b + b - 3*b + (0 - 2*b + 0)*(1 - 6 + 3) - b + 0*b + 0*b)*(7 + 3 + 20 + (-1 + 1 - 2)*(2 + 0 - 1)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -485*j*l**2*w**2 + 5*j*l**2 - 3*l**2*w**2 - 158*l**2 wrt j.\nAnswer: -485*l**2*w**2 + 5*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12. Suppose o = 5*x + 15, x - 3 = -c + 3. Which is smaller: 8 or c?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-12))\/(i**4\/i))\/((i*i**(-1\/15)*i)\/(i\/i**(3\/2))) assuming i is positive.\nAnswer: i**(227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20119 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62*-1.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7305.663m?\nAnswer: 7305663000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36747?\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -0.29. Let m = -40 + 43. Sort 0.1, 1, m, s in ascending order.\nAnswer: 0.1, s, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2\/9, 4, 1\/3, -1\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 5*j + 11826 = 0. What is the tens digit of j\/12*(-4)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 134024212?\nAnswer: 134024222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + o - 21 = 0, 559391*j = 559386*j - 4*o + 48 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 16*s**2 + 20*s - 108. Let m be c(16). Suppose v - 165 = -m. Find the common denominator of v and (-200)\/86 + (-6)\/(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77448 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 303*u**3 + 48*u**2 - 4848*u.\nAnswer: -3*u*(u - 101)*(u - 4)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2124 + -2345.37. What is o rounded to zero dps?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.054, 1, 3\/4, 61\/4, 4 in increasing order.\nAnswer: 0.054, 3\/4, 1, 4, 61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 37, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*s - 8*h + 3*h, 2*h = 0. Suppose 4*q = -s, -2*j = 5*q - q - 6. Let a = 12 + 0. Solve -a = 4*i + j*n - n, 5*i + 24 = 4*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*y*z**3 - 6*y + z**3 - 69*z**2 wrt z.\nAnswer: -828*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 3:08 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 70 - 67 = -2*w, 0 = 3*w + l - 1. Suppose 5*j - 5*v - 127 = 368, -j - 5*v + 69 = 0. What is the fourth smallest value in -5, 1, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.037 + -0.237. Let t = -0.2 + 1.2. Let o = 1.1 - 1.5. What is the nearest to y in t, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 20*x. Let f be b(-1). Let j(l) = 7*l - 119. Suppose -4*h - 4*r = -8*h + 48, -4*r = 5*h - 78. Let s be j(h). Is f less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 27. Let a be u(12). Suppose -2453406 = -a*s + 4086594. What is s rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 2*u - 894. Suppose 6*i - u = -65. What is the remainder when i is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1765*d**3 + 2 + 192*d**4 - 2*d**2 - 3*d + d + 1763*d**3 + 0 + 0*d in the form l*d**2 + v*d**4 + c*d + x*d**3 + p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + i**2 + i**2 - i**2 + 12*i.\nAnswer: -3*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 11651.\nAnswer: 11651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:44 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 7*o + 8. Let t be b(-6). Let c = 2 + t. Suppose -3*u = c*v - 17, -v + 3*u = 6*u - 2. Calculate the remainder when 8 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2377069 and -8.357.\nAnswer: -2377077.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22784376 divided by -6429.\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/3 - 68*z**4\/3 - 63*z**3 + 4682*z**2\/3 + 25720*z\/3 + 10752 = 0. Calculate z.\nAnswer: -64, -7, -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 402206818 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 0.2, 1\/2, -48, -17 in descending order.\nAnswer: 0.8, 1\/2, 0.2, -17, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5979 + 8444. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 478486.4 millennia?\nAnswer: 4784864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4177*f**2*w**3 + 121*f**2*w + 2*w**3 - 316912*w**2 wrt f?\nAnswer: 8354*f*w**3 + 242*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.093 - 0.993. Let s = -0.8 - x. Put 2\/5, 4, s, 5 in ascending order.\nAnswer: s, 2\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3 - 834*q + 3*q**3 + 46*q**2 + 62*q**5 + 6*q**3 + 835*q wrt q.\nAnswer: 3720*q**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 261? (a) -0.3 (b) -4 (c) 2\/1429 (d) -0.2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10035932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h**2. Let b(u) = -195*u + 3. Give f(b(c)).\nAnswer: -570375*c**2 + 17550*c - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100010101101000101110 + -11?\nAnswer: 1011100010101101000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-56)*9246\/483.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 32450.1 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 38.5 (c) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32260\/7 >= 4608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*2*-4 + 0)**2*-2.\nAnswer: -196992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + c**3 - 10 + 3359*c - 3368*c + 9*c**2. Let s be h(-6). Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248948423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i - 15 = -4*f - 66*i, 3*f = 6*i + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 3. Let q(o) = -4728*o - 4726*o + 9466*o. Calculate q(h(m)).\nAnswer: -72*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12619, 12624, 12631, 12640, 12651, 12664?\n\"Answer: o**2 + 2*o + 12616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 3*n**2 + 10 + 10 + 8 to the form a*n**2 + x + k*n and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.13 + 276.13. Which is smaller: 0.4 or k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*d - 10 + 7 + 3.\nAnswer: -184*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from dryarddyyyryzrrrra.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7852\/(-988) + (-1)\/19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + o + 360003, -2*r + 3*o = 2*r - 480009. Suppose -4*k = k + r. Round k to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 + 3309*k**2\/7 - 6627*k\/7 + 3315\/7.\nAnswer: 3*(k - 1)**2*(k + 1105)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492269 is divided by 497408.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 9*y**2 - 8*y + 1. What is a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*r - c*r - 7*c + 20*r + 3 wrt c.\nAnswer: -10*c*r - r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*(-1)\/(4*18\/24)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 13 + 31. Solve 5*r + s = 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 26*v**2 - 23*v + 274. What is t(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1301306 - 1301306.18000048. Let g = 0.18 + x. What is g rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2087608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163602 and 14274?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17598, 35193, 52788, 70383, 87978?\nAnswer: 105573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(352))\/sqrt(8))\/(-2*sqrt(196))*4.\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -42*c**2 - 132*c**2 + 299*c**2. Let n(q) = 2*q. Give h(n(r)).\nAnswer: 500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)*h*h\/(h\/(h*h**3)))\/(h\/h**(-2\/3)*h*h*h*h**(-3)\/h))**(-41) assuming h is positive.\nAnswer: h**(-2255\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 18. Suppose 3*r - 5*r + n = 0. Calculate the smallest common multiple of 3 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*q + 260, -2*f + 2*q + 43 = -79. Calculate the greatest common divisor of f and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*p = c + 14, 2*p = 4. Calculate the least common multiple of c and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (27\/30)\/(-3)*24\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*n - 7 + 27, n + 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -295c?\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5*(-4)\/(-120).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 1.9.\nAnswer: 1\/2, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y + 2)*(2 + 0 - 1)*(-2*y**2 + y**2 - y**2).\nAnswer: -2*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19781*p - 19781*p - 43*p**3.\nAnswer: -43*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3256 and 39\/9088552.\nAnswer: 336276424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 343874561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 + 4. Let c = -0.1 + b. Let n = -686.2 - -686. What is the third smallest value in n, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + (sqrt(1584) + -2*sqrt(1584))*-4 + 0 + sqrt(1584) + -5 + -5 + -3)*-6)**2.\nAnswer: -43200*sqrt(11) + 1429200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -8 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16707, -16660, -16613, -16566, -16519?\n\"Answer: 47*n - 16754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 8, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*(1 - 4 - (-3 - -2)). Solve 11 - k = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65490 rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*z = -6, 0 = 3*z - 2*z + 2. Let u be 8\/76 + (-376)\/(-38). Let l = u - a. Solve -7 = l*c + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 9*x**2 - 9*x - 6. Let n be y(-8). Let k be -1 - n - 56\/(-16). Is k not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 1 = 17. Solve 4*w + 6*i - i - 13 = 0, 0 = -w + i + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2247 - -1162. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (22 + -8 + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*g + 46, -51 = 3*g - 5*p + 2*p. Let d = 15 + g. Calculate the smallest common multiple of 9 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11980592, 11980594, 11980596, 11980598, 11980600?\nAnswer: 11980602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:02 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 19 = i, 2*i + z = -0*i + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 0.01. Let a = d + 0.38. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3*t**2 - 6*n**3*t + 136436*n**3 - 209*t**2 - 4 with respect to t.\nAnswer: 6*n**3*t - 6*n**3 - 418*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/8 - 1)\/(1170\/468).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 4*n = -12, 3*k - 2*n = 34. Calculate the lowest common multiple of 7 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/i)**(-21)\/(i**(-7)*i\/(i**9*i)) assuming i is positive.\nAnswer: i**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22797, 33035, 43273, 53511, 63749?\nAnswer: 73987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Let r be b + (0 - -3)\/3. Factor m**3 - m**4 + m**5 - 5*m**4 + 4*m**r.\nAnswer: m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(363)*1)**2 + -5).\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*26\/(-33735)*-1)\/(13\/(585\/18))?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Let a(v) = -6*v - 5. Let y be 2\/(-9) + ((-10100)\/(-36))\/25. Let x(q) = -8*q - 2 + 5 + y*q. Determine g*a(d) - 5*x(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6199 - 6184. Solve 5*i = 4*r - n, 0 = -5*r - 0*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*p - 10, -4*p + 4 = 5*g - 3. Let r = 0 + -3. Let o be 4\/(-14) + 45\/84. What is the third biggest value in p, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 38, 316, 3, -8 in ascending order.\nAnswer: -8, 0, 3, 38, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:23 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4692)\/476 - (-18 + 1))*7?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 19 = -5*t, 4*g + 3*t + 17 = 8*t. Let i(l) = 13*l + 1. Let z be i(g). Let h = z - 1. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169268*b - 84635*b + 305*b**2 - 84633*b.\nAnswer: 305*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u + 5*o, -10*u = -6*u - 5*o - 47. What is the remainder when 25 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 33*k - 87. Let c be m(30). Suppose 3*j + 3*v = 378, -c*j + 3*v - 2*v = -374. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -3) + -5 + 21. Suppose 0*n + 5*n + x = 3*l, l - 20 = 5*n. Solve 2*h = -l - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56936*r*u*v + r*u - 14928449*r*v + 4*u*v wrt u.\nAnswer: 56936*r*v + r + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 + -7 + -207 + 47.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from qqrqssrqsqss?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 i when four letters picked without replacement from ccicicc?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -v - 2*f + 7*f, 4*v = -3*f - 27. Put v, 0, 29 in descending order.\nAnswer: 29, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 712, 1355, 2272, 3343, 4448, 5467, 6280, 6767?\nAnswer: 6808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 56 + 34. Let n = 30 - m. Let l be (16\/(-3))\/((-1)\/9). What is the greatest common divisor of l and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*z - 12, -11*f + 2*z = 446 - 380 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.32 at most as big as -416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 = 3*d, 7*d + o - 35 = 2*d. Let t(f) = 2 + 4*f**2 + 6*f - 3*f**2 - 2*f**2. Let q be t(d). Let b(l) = l**2 + 3*l. Calculate b(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 1 + 2 + -1. Let v be d\/20 - 21\/4. Let c(w) = -w**2 - 6*w + 2. What are the prime factors of c(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 5. Let a(p) = 10*p + 12. Let s(v) = -5*a(v) - 12*c(v). Let i(m) = -4*m. What is i(s(n))?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/110 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2861235 and 800007?\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 39*i**2\/8 - 41133*i\/8 + 3251997\/4 = 0.\nAnswer: 2518\/13, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + 4828155?\nAnswer: 4828127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.8592497 months?\nAnswer: 0.154937475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 77*q. Let d(v) = 3*v**2. Calculate p(d(l)).\nAnswer: 231*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 4899 = 47*d + 6*d + 26*d for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48768616 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: Let j = 2.4 - 0.4. Let f = 4 - j. Let l = -2 + -1. What is the second smallest value in -2, f, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d. Let p be k(2). Let i = 38 + p. Calculate the smallest common multiple of 12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 933 and 633.\nAnswer: 196863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138822 is divided by 69408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45879 + 46169. Let b = 152 - 94. Calculate the highest common divisor of b and u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5410453180 to the nearest integer?\nAnswer: 73556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 67177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-28) - (-33)\/(-154). Let y = 0.3 - 0.5. Put -2, y, 18, u in increasing order.\nAnswer: -2, u, y, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746 minus 557983285?\nAnswer: -557981539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. Is ((-55)\/10)\/(1\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let n be s(-4). Let t be (-2)\/6 + 16\/n. Suppose 300*a - 305*a + 20 = 0. Sort a, -5, t, 7.\nAnswer: -5, t, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 - -422. Suppose 4*n - u = o + 629, -3*n = 4*o - 913. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63824 and 1341?\nAnswer: -85587984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z + 3*z - 5*z + (1 - 3 + 1)*(-z + 0 + 0) + (-1 + 2 - 4)*(3*z - 3*z - 4*z).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 341*n**2\/8 - 3655*n\/2 - 7225\/8.\nAnswer: -(n + 85)**2*(2*n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 135707 (base 8) to base 2\nAnswer: 1011101111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29308, -50153, -70998, -91843, -112688, -133533?\n\"Answer: -20845*q - 8463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:01 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.595 - -0.595. Let f = -4 - -6. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 2727?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383 - -443. Find the common denominator of 1160\/b + 0 + -3 and 97\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.467 (b) 2 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p. Let k(d) = d**3 - 4*d**2 - 17*d + 34. Let j be k(6). Suppose 0 = -j*t - n + 149, p*t + 4*t + 3*n - 151 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -63. What is the third biggest value in r, -2, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/30)\/(6\/15) + 5. Let z be (f - 0)\/(-8 + 3 - -4). Is 21 a factor of 0 + 22 - z\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 6*t**2 + 14*t - 18. Let q be s(4). Suppose -1109 = -q*o + 607. What is the remainder when o is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196469 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*(-16)\/84. Let s = -0.6 + 4.6. Let z = -1 + s. What is the second smallest value in z, -4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1316032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-6) - 9*(-112)\/(-378) - -22781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/750*(2 + -1))\/(2\/10). Let g be (-6)\/(-4)*(-16)\/300. What is the nearest to -1\/3 in g, 0, y, 3\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a*f**3 - 2*a*f**2 - a*f - 58*a*h**3*y - a*h**2 - 5*f**2*h**3 - 2*f**2*y wrt f?\nAnswer: 36*a*f - 4*a - 10*h**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 414 + -4?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x - 2*j = -50, -2*j + 10 = 0. Let d = x - 21. Suppose -20*z = -11*z - 45. Put -6, z, d in descending order.\nAnswer: z, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*q + 121, 0 = 57*q - 52*q - 35. Calculate the remainder when 2234 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16245 and 432585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-22)\/(-33)*-4. Let m(o) be the first derivative of 3*o**2 - v*o**3 + 3*o**4 - o - 4\/5*o**5 + 6. Factor m(s).\nAnswer: -(s - 1)**2*(2*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 122. Let m(j) = 2*j - 121. Let t(w) = 2*m(w) + 3*q(w). Does 21 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2732.739 + -2733. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -53. What is the units digit of (-1 - 133)*1*q\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*q = -784*q + 2*y + 21 + 6, y = 2*q - q - 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*1)\/((-6)\/3498) 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 48\/(-88)*-1969 - 9\/(3\/1)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 + -1 - (-827 - -862)) + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -12, -6, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-9)\/(-6)*1\/(-21).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 180879576 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a + 4*j, 4*j + 0*j = -5*a + 8. Suppose 17 = 2*x - x + 4*f, 4*x - 2*f + 4 = a. Let g = 0.7 - 0.2. What is the closest to 1 in x, -1\/5, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/66)\/((10 - 2527\/252)\/((-4)\/8))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 25 = -5*g - 1, 2 = -3*m + 5*g. Is ((-23545)\/(-20) - -14)\/((-1)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 41.\nAnswer: -5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o**2 + 76*o**2 - 123*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Suppose 0 = -19*j - 58 - 35 + 17. What is the biggest value in 0, l, j, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 8*w + 21. Let q = -5 - -3. Let z be q\/(-8) - w\/4. Are z and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 40 + 436 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132209 is divided by 66104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*f - 52, 3*f - 4*q = f + 28. Let p = f + -8. Suppose r - 6 - p = 0. What is the remainder when 55 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2718380 + -0.08?\nAnswer: -2718380.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105880401*w**2 + 140200130.\nAnswer: -211760802*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156946 is divided by 319?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2. Let r(t) = -3135*t. Give g(r(m)).\nAnswer: -29484675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*n - 5, 3*i - 6*n + n - 5 = 0. Factor 9*a + 6*a + i*a**2 + 5*a**2.\nAnswer: 5*a*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -15. Suppose -6 + 2 = -c*x. Solve 4*s - x*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3)\/((-27)\/(-93)). Suppose -2*u = -0*u - h. Let a = 67 - u. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 292 and 4192828?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -2 + -1 - -3. Suppose -k*y = 30 + 3. Let a = -11 - y. What is the second biggest value in 3, a, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 + j. Suppose 12*x - 242 = -38. What is the remainder when x is divided by u(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.92223 millilitres?\nAnswer: 0.09592223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 113178702*a**2 - 1601177266711248*a - 1601177379889952.\nAnswer: -2*(a - 28294676)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 904940 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-585)\/(-780) - 2\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3c831 (base 14) in base 15?\nAnswer: -7ec451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*y + 12 = -16, -5*y + 21 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 21*t**3 - 4016. Let d(h) = -h - 95. What is d(b(r))?\nAnswer: -63*r**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8261 - -74228\/9. Is -13 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4\/5, -1\/132, 4\/9, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000727029 rounded to 6 decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 2*w - 28, 5*r = 2*w + 95. Suppose 4*l - 14 = 30. Calculate the remainder when r is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15288 + -14251. What is the remainder when h is divided by 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 27*u**2 - 15 + 8 to r*u + f*u**2 + q and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -k - 8876 + 8870, -3*c - 12 = 2*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -218134, -218136, -218122, -218080, -217998, -217864?\n\"Answer: 2*f**3 - 4*f**2 - 4*f - 218128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008869651 to seven dps.\nAnswer: -0.000887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41128474399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 - 2*m + 1. Let y = 34 + -18. Let j = y - 15. Let v be a(j). Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 + 6180339*m\/5 - 333729558\/5.\nAnswer: -3*(m - 2060059)*(m - 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugugugggggg. What is prob of sequence gu?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**2 + 7*w + 12. What is v(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 7 = n + 2*r, 5*n - 23 = 2*r. Suppose 2 = -d, n*w - 9344 = w - 2*d. Suppose -3*v + 1411 = j, 5*v - 4*j = -2*j + w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*y - 160 = 206*y. What is the lowest common multiple of y and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112003 (base 4) in base 14?\nAnswer: -2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134749 is divided by 269?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2 + 476390*l - 11347371605 = 0?\nAnswer: 47639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 25 - 20)*(-4*m + 2*m + 0*m)*(-2 + 3 + 1)*(0*m + 2*m - 3*m).\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/((-480)\/9)*(-1)\/12*4\/6?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*y - 5 - 41, 0 = -y - 3*j + 24. Let d be (-39)\/y + (-1)\/(-3). Is d + 6 + (7 - 1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 + d**2 - d - 1. Let k be h(-1). Let n(g) = 3*g - 5. Let t be n(7). Let b(o) = -t + 3*o + o - o**3 + 29 + 4*o**2 - 15. Determine b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {g: 16, t: 2}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5326, 21331, 48014, 85375, 133414, 192131, 261526?\nAnswer: 341599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 373938210*g - 373937477*g.\nAnswer: 733*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 412000*i**3\/3 + 4. Let n be c(-1). Suppose 7*d - 3*d = n. What is d rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5420*b + 2731*b - 763*b.\nAnswer: -3452*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10010010000110101111?\nAnswer: -10010010000110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*r = -26, -f + r - 49853 + 49839 = -4*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3540 by 708.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796393590 rounded to the nearest one hundred thousand?\nAnswer: -1796400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52, 82, 162, 316, 568?\n\"Answer: 4*c**3 + c**2 - c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11497 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5, -4*r + 6*k = 3*k + 3. Suppose r = -4*q + 10 + 10. Solve -q*g + 3*m + 7 = 0, 4*m + 18 = -2*g - 0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -14. Suppose -k*q - 2 = -22. Let i(l) = -38*l + 2395. Let d be i(63). Solve -q = g + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*k - 14, -3 = -4*j - 3*k - 11. Suppose -2*h + 2*g - g - 17 = 0, g + 1 = 0. Let q be 1 - -2 - (h - 1). Solve 4*v + j - q = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -11*m**6\/30 + m**5\/20 - 117*m**2 + 135*m. Differentiate u(n) with respect to n.\nAnswer: -44*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2 or -164\/153?\nAnswer: -164\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p + 7. Let m be t(-8). Let f(v) = -v**2 + 14*v + 18. What is the units digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293711\/1290 + -683\/3. Find the common denominator of 5\/258 and u.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(405)*1.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1522515433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 + (6 - 8890\/1449)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n. Let i(p) = 18*p**2. Determine w(i(y)).\nAnswer: 216*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*h - 3*h + 15, -5*a + 5 = 0. Suppose -16 + h = 4*q. Which is greater: q or 2\/357?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-12 + (-5 - -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/6)\/3 + 2. Suppose -8 = -2*j - 12. What is the third smallest value in j, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = 3*r, 0*r - 3*r + 9 = -3*n. Let u be (-1)\/n + 195\/40. Put 8, -4, u in decreasing order.\nAnswer: 8, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-62)\/(-64) + -1). Let j = a + 149. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391408918?\nAnswer: 2, 17, 73, 179, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 25 = 3*x. Suppose -x*y + 7 = -3. Solve -8 = -0*d - y*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5*q - 9 - 10 - 4*q - 84*q**2.\nAnswer: -84*q**2 + q - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -304 - 16?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 179 = -195 - 384 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 1 + 2*u - u**3 - 11*u**2 - 11*u. Suppose 3*q + 42 = -3*c + 6, c = 5*q. What is the units digit of r(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**3 + 1 - 2*a**2 - 2*a**4 - 3 - 122*a - 99*a + 232*a to p*a**2 + k*a + f*a**3 + j + x*a**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5094 - 0.3906. What is the nearest to q in -2, -5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 94. Let s = -13.19 + 12.619. Let r = s - -0.071. Which is the closest to q? (a) 2 (b) r (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 26. Suppose 3*t + g = 6*t. Solve -4*u = -t*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 26*a + 59 + 121 - 430*a**2 + 431*a**2 + 17*a - a. Calculate f(-37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 - -888. Suppose 0 = 11*o - 209 - h. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(64) + sqrt(64))*-6)\/sqrt(8))\/((sqrt(4)*-1*-1 + sqrt(4))*-3).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 6, c: 1, x: 2, o: 5}. What is prob of picking 2 x and 1 z?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-3 + 2)*1. Let j be -3 - ((-15)\/(-1))\/y. Solve -5*g + 20 = -j*b, -b = -4*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22122213321 (base 4) in base 15?\nAnswer: 38e079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 10 + 41. Let d(o) = -8*o**3 - 1. Let u be d(-1). Solve q = 4*v + u, a = -4*q + 3*v + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 4*y**3 + 2*y**2 + 7*y**2.\nAnswer: -4*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28374*m - 16828*m + 26488*m.\nAnswer: 38034*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x + 30. Let g be 2 - (-3)\/(-6)*x. Suppose 0 = g*z + 3*l, z - 2*z + 5*l = 0. Which is greater: z or -1\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 + 30 = 3*i, i = -5*t - 18. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*c = 51, -i - 3*c - 26 = -c. Let s = i - -32. What are the prime factors of 6\/(-12) - ((-178)\/s + 2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30d555 + -3?\nAnswer: 30d552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 = n, 2*w - 19 = -2*n - n. Let i(p) = 34 - 20 + w*p - 14. Let x(s) = 2*s. What is x(i(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 + 14*u + 15. Determine a(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47943753 to the nearest integer?\nAnswer: 6924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 3*f**2 + 3*f + 1. Let a be j(-2). Let h = -5 - -2. Sort a, h, -2, -4 in ascending order.\nAnswer: -4, h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1023274493 and -0.08?\nAnswer: 1023274492.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 495 - 183. Suppose -224*z + 43797 = 899*z. What is the highest common factor of z and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - (4 - 12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/102)\/(27\/180*5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3280 divided by 10\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 + 4*g + 2. Calculate the remainder when 39 is divided by t(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4119808.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 28 = -20. Let w(m) = 6*m - 5*m**3 + m**3 - o*m**2 - m**3. Let a(k) = 14*k**3 + 6*k**2 - 17*k. Calculate 3*a(t) + 8*w(t).\nAnswer: 2*t**3 + 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + w**2 + 6*w + 6. Let l be v(6). Let n = l - -143. Solve 4*m - 1 = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 14*b**3 + 30*b**2 + 50*b. Differentiate r(q) wrt q.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 12 = 9*o, 0 = 4*i + 5*o - 24994. Calculate the remainder when i is divided by 2077.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224428 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 5*b. Let k(m) = m**2 + 4*m + 1. Let u(r) = -5*h(r) - 6*k(r). Let o be u(-5). Let g = o + -22. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 6*z + 0*z)*(-3*z - 2*z**3 + 3*z) - 2*z**2 - 2 + 0*z - 2*z + z - 2*z**4.\nAnswer: -8*z**4 - 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1955\/18 - 910\/9. Let b(a) be the first derivative of 10*a + 12 - i*a**2 + 5\/3*a**3. Find c, given that b(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o - 1. Let b(i) = -5*i**2 + 2*i. Suppose -573*x + 558*x - 60 = 0. Suppose f + 2*c = 11, f = -c + 4*c - 14. Calculate f*b(l) + x*u(l).\nAnswer: -l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 1937095.\nAnswer: 58112.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001110001110 (base 2) to base 16.\nAnswer: 238e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 98688672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 3*c + c + c - 2 + c**2. Let b be l(-5). Let i = b + 11. Let n(u) = 2*u - 4. Determine n(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h + 1. Calculate m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10470*r + 5363*r = -5267*r - 480 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/420 and -131\/6143844.\nAnswer: 30719220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129 (base 13) to base 16.\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6574445\/184 + 428737\/12. Let z = f + -16\/23. Calculate the common denominator of -81\/28 and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 3. Suppose -8*v - 30 = -3*v. List the prime factors of g(v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. What is the biggest value in -0.4, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/107190 and 107\/5562?\nAnswer: 11040570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/12, -0.02, -81\/4099?\nAnswer: -81\/4099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(-4*q + 4*q - 2*q)*(-1 + 3 + 1).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = -6, 5*t - 69 = -3*b. Suppose -4*d + 9*d - t = 0. Suppose -d*y - 2*y = -10. Calculate the smallest common multiple of 1 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -0.6, 1\/3, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18249 = 4098*x - 4651*x for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 6?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2156?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130 divided by 6?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 - -262. Let r be (-4 - (-346)\/3) + (-4)\/(-6). Let p = r + -90. What is the greatest common divisor of p and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.2. Let q be (-26)\/24*1 + 1\/3. What is the biggest value in k, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cwwwwwwwwcwwwwwcwcww?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17237616 + 0.05?\nAnswer: -0.12237616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + -4)*2\/8. Suppose b*m + 25 = 3*m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6 (c) 1.3 (d) -95 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 7*k**2 - 4*k + 28. Let h(z) = 5*z - 188. Let s be h(39). Let p be n(s). Let v = 2 + 0. Solve -l + p = v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + n**2 - 4*n**2 - 2*n**2 + 4*n**2 to the form u*n + f + g*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.37648752 to 1 dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 703 (b) -5\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -790.3 + 790. Let s = 216 - 267. Which is the fourth biggest value? (a) s (b) z (c) 5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.98 + -20. Let d = 0.52 + c. What is the nearest to -1\/4 in -8, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2. Let t be r(-4). Solve -s = 3*w - t*w + 14, -5*s = 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283 + -282.759. Let f = 0.065 - i. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/425 and 20\/901.\nAnswer: 22525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2147*u**2 - 1436*u wrt u?\nAnswer: -4294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*z = 87*z + 10926. Let r = -857 + z. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69081223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 + 350*q - 228879\/4.\nAnswer: -(q - 1211)*(q - 189)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 23937*q**3 - 126*q**2 + 78*q + 63. Let d(k) = -1496*k**3 + 8*k**2 - 5*k - 4. What is -63*d(u) - 4*p(u)?\nAnswer: -1500*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -4, 62, 5, 44, -6 in decreasing order.\nAnswer: 62, 44, 5, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/519000 and 9\/692000.\nAnswer: 2076000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 4. Let j be z(0). Suppose 5*s - 6943 = -6*t + 3*t, 2*s - j*t = 2798. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-7) + 1*(0 + 1). What is the smallest value in -0.2, w, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/8 + 129*h\/4.\nAnswer: -3*h*(h - 86)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.192 - -0.192. Which is the nearest to 0? (a) -2\/3 (b) 0.03 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d69 + 1008c?\nAnswer: c123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (68*a**2 - 130*a**2 + 2*a + 49*a**2)*(-a - 3*a + a) - 11*a**3 + 10 - 9 + 5*a**3 as n*a**3 + u*a + q + f*a**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/2 + q. Suppose -11*u + 19*u = 3216. Let m(z) = u*z**2 - 202*z**2 - 202*z**2. Calculate m(r(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 4*z**2 - 2*z**2 - 675*z + 675*z - 135*z**2 + (-z + 0 + 0)*(-4*z - z + 4*z) + z**2 + z**2 - 4*z**2 as m*z + y + v*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:45 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8 - 0. Let m(s) = -s**3 - 2*s**2 - 3*s - 2. Let o be m(-2). Let g(f) = o*f + 5*f**2 - 3*f - f**3 - 1 - 3*f + 0*f. Calculate g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 119147286, 238294574, 357441862, 476589150, 595736438, 714883726?\n\"Answer: 119147288*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -582243 at most as big as -5240198\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 880212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/180 and 245\/450 + 8\/(-28)*1?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z + 33*z = -2420 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8545515630?\nAnswer: 2, 3, 5, 17, 2357, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 26, -1, 13, -17 in decreasing order.\nAnswer: 26, 13, -1, -4, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -294*h - 311*h - 2 + 599*h. Determine k(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 129*h**2 + 1449*h + 1323.\nAnswer: 3*(h + 1)*(h + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by -10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11503, 22917, 34331, 45745, 57159?\n\"Answer: 11414*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 15908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121100 + 111011?\nAnswer: 12002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 705*t**2*u**3 - t**2*u**2 - t**2*u - t*u**3 + 5*t*u**2 - 94*u**3 - 97381*u wrt u?\nAnswer: 4230*t**2 - 6*t - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/12 - w**3\/3 + 3*w**2\/2 - 4*w - 8. Let i(g) be the first derivative of j(g). Calculate i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -31 - (-712 - -665)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 x when three letters picked without replacement from {y: 5, p: 1, b: 6, u: 3, x: 5}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -7*-26*((-25)\/10 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 377\/5. Let z = 89.5 - 90. Sort z, d, -2\/19.\nAnswer: z, -2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -23*w**4\/24 - w**3\/3 - 87*w**2. Let b(q) = -2*q. Determine b(r(c)).\nAnswer: 46*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6707 + -0.6.\nAnswer: -6707.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*h + 76 = 0, -6*f + 3*f - 5*h = -55. Suppose 0 = -3*x + 2*x - 4, -f = -o + 3*x. Let u(a) = 0 - 2*a**2 + o*a**2 + 4 - 7*a**2 - 3*a. Give u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(65\/2)\/(-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.949*-0.046\nAnswer: -0.043654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Let d(m) = -m + 10. Let t be d(6). Let i(o) = o - 4. Let f be i(t). Solve 0 = n*j - f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - 94*f + 945. What is x(9)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669434?\nAnswer: 2, 334717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 289*b + 551. Let r(a) = 288*a + 557. Let d(y) = -4*h(y) + 3*r(y). Differentiate d(w) with respect to w.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((3*sqrt(57)\/sqrt(3)*-4 - (sqrt(304) - (sqrt(304) + -2 + 0 + sqrt(304)))) + -5))**2.\nAnswer: 448*sqrt(19) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = 10. Suppose 0*z - 2*a - j = -5*z, -z - 5*a - 22 = 0. Let h = -230 - -234. Put h, z, -5, 2 in descending order.\nAnswer: h, z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6311034777 to two decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((5893\/(-166))\/71)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194588229981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -253.0196. Let y = -1.9804 + r. Which is the third smallest value? (a) y (b) -2\/5 (c) 8.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -f + 38268, 230*t - 229*t - 9585 = 2*f. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 54 = -103. Solve -2 + u = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53648450775 and -3.\nAnswer: -53648450778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -170*d**2. Let z(c) = -67*c**2 + 5*c. Let i(x) = -39*x**2 + 3*x. Let q(y) = 5*i(y) - 3*z(y). Determine q(w(n)).\nAnswer: 173400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 11. Suppose -d*a + 3*i = -5, -3*a = 2*i - 26 + 4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**(1\/2)*i)\/(i\/(i**2*i))**3 assuming i is positive.\nAnswer: i**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 24, -433170, -2 in descending order.\nAnswer: 24, 2, -2, -433170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69\/5 + 29\/145. Factor -80*d**3 + h*d**3 - 24*d**4 - 3*d**5 - 27*d + 0*d**2 - 74*d**2 + 2*d**2.\nAnswer: -3*d*(d + 1)**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let n = -1 - f. Let z = 13777 - 13774. Solve -z*m = -u + 7, -2*u + n*m + 2 + 0 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2 = 3*k, -m - k + 2*k = 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k = -838*k + 10131 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, 9038, 1, -7, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from {w: 12, m: 1, e: 7}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 less than or equal to -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 >= 35715.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001011000101 (base 2) in base 11?\nAnswer: -17aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 50\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -77*d + 1889. Give j(25).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 34\/(-11))*1. What is the second biggest value in 1\/12, 1, l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 161013337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 796\/5121?\nAnswer: 796\/5121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l. Let p(h) = 34*h. Give s(p(j)).\nAnswer: -578*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512 - r**2 - 1035 + 985 to x*r + p + s*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -0.029?\nAnswer: -0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 16*v**2 - 3*v - 82. What is j(-16)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -380.645 and 0.06.\nAnswer: -22.8387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -80. Let z = 105 - 39. Let g = 70 - z. Solve -r + k = -g*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3, 133, 1 in ascending order.\nAnswer: -3, -2, 1, 2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (5 + (sqrt(19) - (sqrt(19) + 1))) - (sqrt(38)\/sqrt(2)*2)**2.\nAnswer: -80 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/4)\/(2\/(-4)). Let u(l) be the second derivative of l**5\/60 + l**4\/6 + l**3 + l**2 - 2*l. Let b(a) be the first derivative of u(a). Give b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5880530 + 5880530 + 17*j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1+5198\nAnswer: 5197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 178864.531 rounded to the nearest one thousand?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3a3cb (base 15) to base 5\nAnswer: 21431431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:26 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13991155*l + 5028532.\nAnswer: 13991155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -197 (b) -1 (c) -2\/15 (d) -1\/7 (e) 5 (f) -117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 9*k**2 + k + 9. Let i be c(9). Suppose 0 = -4*b + 26 + i. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 - -225. Let i be 375 + (4 - 4) + m\/2. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 17664 = -42786. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76461 + 7?\nAnswer: 76470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-158)\/156 - -7*52\/(-2366). Sort -0.1, 1\/13, p in decreasing order.\nAnswer: 1\/13, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/2 - 10)*-1. What is the common denominator of -37\/6 and (-2)\/n - 1521\/720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109495553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -144. Let h = j - -54. Is h < 22\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4776\/4729 or 1?\nAnswer: 4776\/4729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a + 36 = 3*z, 5*a - 5 = 0. Let b(l) = -11 + 32*l + 33*l + l**2 + 0*l**2 - 74*l. What is the remainder when b(z) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12163822*b - 135 = -12163825*b for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -48, -78, -126?\n\"Answer: -9*z**2 + 15*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1616 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/544 and 9\/11.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let y = 1.5 + -1. Let i = -0.05 - -2.05. Which is the closest to i? (a) 2\/19 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:21 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.97 - -7501\nAnswer: 7501.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -615*u**2 - 4917*u + 23. What is t(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.03+291367669\nAnswer: 291367670.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19638 times -0.2?\nAnswer: -3927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 931582.\nAnswer: -186316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -21. Let s be 6\/h + (-1)\/(-4). Suppose 0 = -k - 0*k - 1. Sort k, 3, s in decreasing order.\nAnswer: 3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + ((-400800)\/980)\/24 + -6.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3119 - 3116. Solve 0 = i + i - x*l - 7, -2*i + 5*l = -17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*g - 5*b, 6*g - 3*b = g - 5. Solve -g*w + 18 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**3*k**5 + 3*h**3*k**4 - 3*h**3*k - 6*h*k + 2*k wrt k?\nAnswer: 180*h**3*k**3 + 36*h**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -2, -0.054, 2?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 4. Let w be (2*-49)\/((-5)\/(20\/8)). Let m = w - 29. Calculate the lowest common multiple of m and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837384867 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 3*o**2 + 2*o**2 - 2*o. Let x(q) = -q**3 + 4*q**2 + 4*q + 8. Let f(l) = -3*i(l) - x(l). Calculate f(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.15 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 167104 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*h - 2*h. Let g be ((-2)\/(-6))\/(h\/(-6)). Suppose c - 73 = g*y, 4*c + 218 = 7*c - 5*y. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406*w**3\/7 - 5522*w**2\/7 + 3810*w\/7 + 306\/7 = 0. Calculate w.\nAnswer: -51\/703, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 39.286, 0.1, 3\/4, 46 in increasing order.\nAnswer: 0.1, 3\/4, 39.286, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*q**4 + 9*q + 2054 with respect to q.\nAnswer: -148*q**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.6 - -89.6. Let k = -1403592907.9999959 + 1403592828. Let c = k + r. Round c to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.057 and -0.0226.\nAnswer: 0.0012882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4.9. Let f(k) = k**3 - 9*k**2 + 8*k + 2. Let s be f(8). Which is the biggest value? (a) s (b) p (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(8\/36))\/(-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1168628*s - 1418806?\nAnswer: 1168628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let d be r(7). Let p(o) = -o**2 - 3*o + 5. What is p(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17\/2*d**3 - 1\/4*d**4 - 81 - 253\/4*d**2 - 153*d = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from {v: 16, d: 4}.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 112, 801, 2660, 6271, 12216?\n\"Answer: 97*z**3 + 3*z**2 + z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 10481954*x\/3.\nAnswer: -2*x*(x + 15722931)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -84822*v + 84826*v + 2, -4*k + 5*v - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 15.9?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 127676 = -216733. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*j**2 - 2883 + 8672 - 2893 + 1133*j**2 - 2896.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/20 + 5*t**4\/2 - 19*t**3\/3 + 26*t**2 + 12*t. Is x(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + w**2 - w - 4. Let v(g) = g**3 - 4. Let d(t) = 2*u(t) - 3*v(t). Let r = 1 + -1. Let m be r\/(2 - 0) + -3. Calculate d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, n: 3, z: 2, r: 3, x: 8}. Give prob of sequence jza.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + p**5 + 2*p**5 + (3*p**2 - 2*p**2 - 5*p**2)*(3*p**3 - 3*p**3 + 6*p**3).\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363656?\nAnswer: 2, 670457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b7936 - -3?\nAnswer: 5b7939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494543 by 1643.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -150*o - 942. What are the prime factors of l(-23)?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 19. Suppose -5*f + 58 = -a + 23, 2*a - 3*f + 42 = 0. Is p(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 105045*m. Let u(l) = 39*l. What is u(x(y))?\nAnswer: 4096755*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9299290 by -265694.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose -4*i - 2*g + 2 = s, -3*i - 3*g = -i + 5. Suppose -2*d = i*d - 4*w - 44, 2*w + 2 = 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10173950309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 896722128941 minus -0.3?\nAnswer: 896722128941.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a - 1. Let u(z) = -1. Suppose -3*q + 4*b = 3 - 16, -5*b - 5 = 0. Let m(w) = -w + 12. Let y(g) = q*u(g) + m(g). Let p be y(8). What is r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, -3, -1 in decreasing order.\nAnswer: 18, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 8 - 7)*(v - 2*v - 3*v)*(3 - 1 - 3) to y + x*v and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = 4*q - 0*q, -10 = 3*g - 5*q. Suppose 0*a - 2*a + 4 = g. Solve c + 0*c = -a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9) - -1)\/(30*41\/(-31365)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4 - 2*i**3 + 406989*i**2 + 2636063*i.\nAnswer: -12*i**2 - 12*i + 813978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/1427520 and 79\/8922.\nAnswer: 1427520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1969, -2503, -3035, -3565, -4093?\nAnswer: -4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 95 = 3*p, -3*b - 145 = p - 206 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -79. Suppose -3*m - 3*x + 2701 = -x, i*x - 903 = -m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003 is divided by 633.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)**(4\/11)\/((g*g\/(g**(-1)\/g)*g)\/(g\/(g**(3\/2)*g))))**(3\/7) assuming g is positive.\nAnswer: g**(-405\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.480398 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/(462\/220*3\/84).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32103a8 (base 13) to base 7.\nAnswer: -243433053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*l + 508 = -206 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57025 (base 8) to base 4.\nAnswer: -11320111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340 + 43?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.772773 kilograms in milligrams?\nAnswer: 3772773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103231 (base 4) to base 13.\nAnswer: -43c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 681296431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 804349913 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**4 - 6*y**3 + 5*y**2 - 6*y - 6. Let s(g) = -g**4 - g**3 + g**2 - g - 1. Let n(c) = -o(c) + 6*s(c). What is the third derivative of n(v) wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*a - 37. Suppose -24 = 3*f + 3*z, 4*f + 3*z = 7*z + a. Is 2 a factor of (-54)\/f*6\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2650, -2, -0.879?\nAnswer: -0.879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 29 = -50. Suppose 3*x + k*h = -h + 23, 0 = 3*x - h - 43. Solve -2*v - x = 3*u, -u - v + 2 = 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 85, -125.\nAnswer: -125, -4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k + 152. What are the prime factors of f(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4003605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.98 + 0.02. Let u = j + -6. Which is the second biggest value? (a) 2 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901234159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 6*f**2 - 87*f**2 - 14*f**2 - f.\nAnswer: -88*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose i*c - 3*c = -10. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 + 7*x - 4. Let b(d) = -10*d**2 - 6*d + 3. Let u(q) = 9*q**2 + 6*q - 3. Let t(r) = -2*b(r) - 3*u(r). What is -5*k(v) - 6*t(v)?\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -5) + -19 + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -94\/5 greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**4 + 2*y**4 - 6*y**4)*(-1 + 2 + 0).\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 176 = 4*w - 4*h, -164 = -4*w + 2*h. Find the second derivative of 7*m**4 - 103*m**4 - 44 + 4*m + w - 64*m**4 wrt m.\nAnswer: -1920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by 47.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 0, 5, 26 in ascending order.\nAnswer: -10, -5, 0, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111601915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.77004 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 30712a64?\nAnswer: 30712a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*b*t - 804129*b - 554886068*t with respect to b.\nAnswer: 20*t - 804129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -268285?\nAnswer: -19\/268285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 5 + 2)*(-5*u + 3*u + 0*u) - 2*u + 4*u - 3*u - 9*u + u + 10*u)*(9 + 4 - 12) to i*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003360674148 to 6 decimal places.\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*p + 15, 6*v + 10 = 9*v - p. Solve 3*w - v = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:03 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 71. Suppose 10*c - 237 + 37 = u. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248887 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) - 0\/1. Suppose x - 6*x + 25 = 0. Suppose -x*l + 11 = -9. Solve -l*f - 8 = 2*c + 2, -j*c - 4 = -5*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 117? (a) -3 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27365\/9 - 3041. What is the nearest to 0 in 2, -8, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 10. Let j be g(-7). Let v = -8605\/4 + 2137. What is the common denominator of (3\/8)\/(j\/91) and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 24, 61, 114, 183, 268, 369?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 28) + 13 + -17 + (13 - 5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90287 is divided by 2579?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**3 - 6*q**2 - 2*q. Let s(r) = -15*r**3 - 13*r**2 - 4*r. Calculate 9*c(d) - 4*s(d).\nAnswer: -3*d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 1. Let d(n) = 19*n - 6. Let w(i) = d(i) - 6*p(i). Let s(q) = -4*q - 7. Calculate w(s(g)).\nAnswer: -4*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1 - 3*j - 4 + j**2 - 6 - 5. Let i be z(6). Suppose 4*s - 254 = -2*u, -s + 537 - 29 = i*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175*z**4 - 45367*z**3 + 396*z**2 - 63*z + 36?\nAnswer: 4200*z - 272202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 1300322231?\nAnswer: 1300322313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 73889?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -23774*g**2 - 5*g - 125. Let r(p) = 11888*p**2 + 3*p + 75. Give 3*o(z) + 5*r(z).\nAnswer: -11882*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 202161 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 901?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 2*t + 12*t + 0*t to the form r + n*t and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 - 26 = 0. Let u = t + 3. Let y(c) = -2 + 1 + 2*c + 0. Give y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32079 - -66101. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134 - 3*f**2 + 113 - f**2 wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/((-23)\/(-46)). Put 0.3, 5, k, -1 in descending order.\nAnswer: 5, 0.3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 19. Suppose -5*v - 1 + r = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2\/9*r**4 - 84*r**2 - 384*r - 576 - 22\/3*r**3 = 0?\nAnswer: -12, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9940*u*v**3 + 73*u + 2554603*v**3 + 1 wrt u?\nAnswer: -9940*v**3 + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 9*z - 6. Let c be a(10). Suppose 0 = 4*p - 3*u + 5*u - 1046, 1061 = c*p + 5*u. List the prime factors of p.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*d + 51175 - 45667 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 3*y**3 + 4*y**3)*(-288 + 356 - 1019).\nAnswer: -2853*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4.05. Let j = b + -0.03. Let n = j - -0.079952. Round n to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 221086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15568701.7 plus -0.11?\nAnswer: 15568701.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -4*t**3\/3 + 37*t**2\/2 + 34*t. Suppose -4*w - 3*b = b - 20, 4*b + 1 = 3*w. Let y be n(w). Which is greater: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + a - 3 = 0, 2*a - 6 = 4*o - 0. Let i = -3.09 - -0.09. What is the smallest value in o, i, 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.2 (b) -0.14 (c) -3\/5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(228)*-1 - sqrt(228) - -4*sqrt(228)*-1))\/(5*sqrt(24)\/(sqrt(4)\/sqrt(2)*1)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(10\/(-40)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8223 = 3*p - 1855, -4*p + 3*k - 8519 = 0. Round p to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 794844 by -18.\nAnswer: -44158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/64*-36 - (-1 - 315) is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6206?\nAnswer: -5\/6206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35075 times -0.0747?\nAnswer: -2620.1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21840 = -4*r, -4*r - 5460 = -5*r - 4*h. Does 99 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**3 - 22*m**3 + 25*m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r. Let g(w) be the third derivative of w**4\/6 - 7*w**2. Give v(g(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17)\/(j\/j**17))**(-1\/74) assuming j is positive.\nAnswer: j**(-137\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.026 (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3445 divided by -265?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75000*h**6 - 9*h**2 + 4*h - 1202 wrt h.\nAnswer: -9000000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 111. Suppose s*a = -a + 330. What is the highest common factor of 88 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeyeeeyeeeeeeeyee?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40 = 3*h. Let v(o) = -o**3 + 9*o**2 + 12*o + 13. Is v(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 11) + (0 - -7). What is the second derivative of t - 24*w**2 - 5 + 2 + 22*w wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9400651594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2*s**2 - 94*l**2*z**2 + 2*l*s**2*z - 2*l*s**2 + 58*l + 36*s**2 - 3*z**2 wrt z?\nAnswer: -188*l**2*z + 2*l*s**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 + 10076 = -4*g. Suppose -2*v = -2*q - 9 - 9, 4*v - 28 = 3*q. Is (q - -4)*(-2)\/((-24)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 55633*s - 14 - 27822*s - 27824*s + 3.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -31535?\nAnswer: 31535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.38 - 13.32. Let p = 14.9 + a. What is the third biggest value in 5\/2, -4\/7, p?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443393 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122 is divided by 77.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000309586 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -7*b**2\/2 - 11*b + 3. Let a be u(8). Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 - 32829*i = 0. Calculate i.\nAnswer: -32829, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (87\/(-58))\/((-2)\/(214\/(-69))). Let z = t - -4097\/644. Find the common denominator of z and 29\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7080573?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2020000000?\nAnswer: 2020000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*i + 34*i - 2*i**4 + 27*i + 27*i - 752 - 6*i**2 to c + n*i**2 + b*i + f*i**3 + t*i**4 and give c.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -6, 0.033, -1\/3?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 315 = -24*k. Let w(l) = -l**2 - 15*l + 10. Let p be w(k). What is the tens digit of (-4)\/2*(p + -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 529548 or 3706828\/7?\nAnswer: 529548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**5\/90 - 77*g**4\/27 + 1465*g**3\/27 - 400*g**2 + 2*g + 3251. Solve p(l) = 0.\nAnswer: 5, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 1470.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39430.\nAnswer: 2, 5, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 - 3*w**3 + 16*w**2 - 3 + 19*w**3 + 4 + 97*w**3.\nAnswer: 113*w**3 - 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 6. Let a = 6 - 9. Let t be ((-10)\/6)\/(1\/a). Let y be r(t). Put y, 4, 2 in ascending order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72605*n + 20118 wrt n?\nAnswer: -72605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.841 + 36.671. Let z = -32 + n. Round z to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*-4*(-2 + sqrt(17)).\nAnswer: -12*sqrt(17) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 141 + 4*q**2 - 140 + 7*q**2 - 41*q.\nAnswer: 11*q**2 - 41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8645232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(247\/(-1482))\/(((-4)\/(-30))\/((-228)\/6)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177232 less than -7?\nAnswer: 2177225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 819954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 10 = -4*q, -5*q = -5*f - 2 - 13. Let u = 0.043802 + -0.063802. Which is the third biggest value? (a) f (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(120\/16))\/(-2)*(-5)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*3\/12 + -3 + 14177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (-46)\/4. Suppose 69*t - 67*t = 8. Solve -t*r - 2*x = 4, -3*x = -0 - p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 0.3. Let z = 0 + f. Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 42, 4, 3\/10, 1\/5, -0.3, -0.1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/86907 and -115\/1506?\nAnswer: 43627314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 370483.2 millilitres?\nAnswer: 370.4832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(77) + 2*-1*sqrt(77) - sqrt(77)))\/(sqrt(567)*-2 + sqrt(112)*6).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**4 + 0*d**3 - 23\/20*d**5 - 25*d + 0 + 33\/2*d**2. What is the first derivative of a(k) wrt k?\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.176 > -0.164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*d - 83 = 0, -k + 2*d = 4*k - 147. Let o(v) = v**2 - v - 30. Let g be o(0). Let q = -15 - g. What is the remainder when k is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*y - 7*s - 190, s - 170 = -5*y. Let u be -7*(y\/49 - (-4)\/14). What is the units digit of 2\/(-1 + u) + (-2135)\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1176.76 tonnes?\nAnswer: 1176760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - 101. Let q = n + -94. Let c(o) = o**3 - 6*o**2 + 6*o. Let f be c(5). Put 4, q, f in ascending order.\nAnswer: q, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. Let z(g) = -g - 2. Let k be z(-5). Solve -k*w**2 + 2 - w + h*w + 0*w = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 10) in base 11?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 28, 52, 60, 46, 4, -72, -188?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 36125 (c) -4\/5 (d) 4 (e) 0.6 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 17, -17, -65?\n\"Answer: -7*z**2 + z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 346\/5, -0.29, -14366?\nAnswer: 346\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14141 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/(-145))\/((-17)\/((-1190)\/609))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*n + 1128*n = 704*n - 34350. Let h be ((-2)\/(-2))\/((-2)\/(-20)). What is the greatest common divisor of n and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -31*v + 28*v, -9 = -3*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 547059541 and 4403?\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 6. Give i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7905*s**3 - 2*s - 5208 wrt s.\nAnswer: 23715*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.1, -0.14, 2\/3, -0.038, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 85. Sort z, 1, -1, -3.\nAnswer: -3, -1, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 16*h**2. Let f(o) = -6*o**2 + 7*o**2 + 0*o**2 - o**2 - o**2. Give -6*f(z) - u(z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129242 - 84007357\/650. Find the common denominator of g and 49\/260.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13)*-1*5)**2 - -2*(sqrt(13) - (sqrt(65)*2 - sqrt(65))\/sqrt(5)).\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llq when three letters picked without replacement from lqqlllq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - 0.4. Let d = 3.6 - 4. Let q = d - 1.6. Which is the closest to s? (a) -4 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 less than -565?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1653 - 0.3.\nAnswer: -0.1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(275)*-4)**2 - (-5 + -3 + (3*sqrt(275))**2 + sqrt(275)).\nAnswer: -222467 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 + -3 - -5 - -47 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -24*(-3)\/6*2. Suppose 2*x - 11 = s + 1, x - 5*s = z. Let n be x\/(-6)*6\/(-10). What is the second biggest value in -0.3, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/(2\/6610). Let i = -1612 - w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*j - 971 - 7657 = 11011 + 9962 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2397*f + 103055. Give t(43).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12313 - 11?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -4586546\nAnswer: 13759638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*15*8\/(-744).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -33, -73, -139, -237, -373, -553, -783?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 27\/14*f**3 + 0 - 65*f + 0*f**2 + 1\/28*f**4. Factor t(i).\nAnswer: 3*i*(i + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 52)*25\/(-50)*(-1 + 3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4)*(6 - (-385)\/(-63))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.5, -8053, -1 in descending order.\nAnswer: 8.5, -1, -8053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**4 - n**3 + 1. Let p(u) = -8*u**4 + 2*u**3 - 7. Let q(d) = p(d) + 2*v(d). Differentiate q(w) wrt w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:43 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 13*b + 117. What is m(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419628 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 28. What is the first derivative of 2*z**4 + 4*z**4 - 16*z**g + 11*z**4 + 6 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2230.8 + 2231. What is the closest to 4 in t, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**4\/24 + j**2. Let t(x) = 14*x. Let w(k) = 13*k - 5 - 9*k + 5. Let n(h) = -4*t(h) + 12*w(h). Give y(n(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from iljdzdz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 119. Let k = -22 - d. Suppose -7*w + k = -2*w + 4*r, r = -5*w + 42. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {y: 5, n: 1, b: 4, x: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:44 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 29*z + 25*z = 70, -2*y = -5*z - 2 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2605 - 10*l + 1303 + 1302. Let f(c) = 12*c. Calculate f(q(h)).\nAnswer: -120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = 143 + 103 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164502 and 342.\nAnswer: 164502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 11*v. Let h(q) = -2*q + 4. Let n be h(2). Let x(l) = n*l - l - 3*l. Suppose -18*m + 195 + 3 = 0. Give m*x(t) + 4*z(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2120\/60*(-60)\/(-16)*(-34)\/85\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:08 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 plus 0.1?\nAnswer: 84.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15093 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 30. Let f be w\/(-2) - (-12 - 1). Let g be (4\/(-10))\/((-22)\/f). What is the closest to 0.2 in -3, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -30*a + 92118. Let p(v) = 14*v**2. Determine f(p(q)).\nAnswer: -420*q**2 + 92118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1242, -1243, -1244, -1245?\n\"Answer: -r - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bbba5 (base 12) in base 3?\nAnswer: 1212120022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/42*7*0. Let d = -41 - -43. Suppose -d*a + 858 - 206 = r. Is 44 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (12 + -11 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -54a1 (base 16) to base 15\nAnswer: -6645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = j, -20*o = 3*j - 16*o + 52. Which is the third smallest value? (a) -1\/4 (b) j (c) 9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 10 - (-4 - -1 - (-7 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/14)*j**(-1\/19)*(j**6)**(7\/6) assuming j is positive.\nAnswer: j**(1905\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-t + t - 2*t) - t - 31*t + 10*t + 5*t + 10*t - 8*t - t + 10*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-14)*203*(-50)\/(-2900).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8274, -16486, -24698, -32910?\n\"Answer: -8212*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 804, 2340, 3874, 5406, 6936, 8464?\n\"Answer: -z**2 + 1539*z - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 3*k**2 - 3*k**2 + (60*k**3 - 3*k**3 - 12*k**3)*(-5*k + k - 2*k)*(-1 + 0 + 2) to the form a + j*k**4 + q*k**2 + m*k**3 + t*k and give j.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s**3 + 0*s + 5*s**2 + 1\/30*s**5 + 1\/6*s**4 + 0. Factor n(g).\nAnswer: 2*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65, 349, 855, 1583, 2533?\n\"Answer: 111*n**2 - 49*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039500736 rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219313 is divided by 109656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4170 + -1309379\/314. Is z <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 - 216*b - 984. Give u(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 544?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73736 + f**2 - f**2 - 2*f**3 + 73736.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = 24*b - 202 + 104 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 11 + 3)*(m - 2*m + 3*m) + (1 - 1 + m)*(-3 + 3 + 1) to l*m + s and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9*(-6)\/(-8). Let n be -1*4*((-455)\/(-28) + -16). What is the closest to 0.2 in t, n, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 3. Let k(j) = 4*j - 89. Let v be k(23). Let w(q) be the first derivative of 3*q**2 + 2*q + 27. What is v*w(z) - 2*x(z)?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39399\/22 - -1788. What is the common denominator of (30\/(-9))\/(104\/102) and a?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -923*o**2 + 4*o**3 + 2*o + 5*o - 525*o**2 - 7*o.\nAnswer: 4*o**3 - 1448*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - i**4 - 3 - 557 - 285 + 3*i**3 as f*i**4 + c + n*i**2 + m*i + p*i**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 20620062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 4*c + 9. Let q = 12432 + -12426. Determine g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8626)\/95)\/((-504)\/(-90)) + 16?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d - 15*d + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p - 13. Let l be ((-1)\/2)\/((-8)\/64). Let i be c(l). Sort i, -2, -1 in descending order.\nAnswer: -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppxd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/15 + 86*w**3\/3 + 3086*w**2\/15 + 4874*w\/15 + 148 = 0.\nAnswer: -5, -1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 63612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/15 - 4*r**5\/15 - 8*r**2. Find the third derivative of j(w) wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 354656 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 75. Which is the nearest to z? (a) 2\/5 (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*g**2 + 6*g - 9*g + 0*g + 3*g.\nAnswer: 214*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6768 + 2934. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 2:24 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011011 (base 2) to base 15.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1226, 1224, 1220, 1214, 1206?\n\"Answer: -l**2 + l + 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 39. Suppose -4*j = -d - 22. Calculate the remainder when 167 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 + 585*i**3 + 3447*i**2 - 15773*i - 81060 = 0.\nAnswer: -579, -7, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = 3*s - 8, -4*s = t - 7. Let c be (-13)\/20 - (13 + 2)\/150. What is the third biggest value in 0.1, 1, c, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92593 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m**2 - 7*m - 29. Determine p(-6).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/13216 and 43\/1904.\nAnswer: 224672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*p + 2 = -0 + 6, 4*h + 7557*p + 4 = 7552*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/(-48)*1\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1268219685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-8)*-2)\/(58\/(-464)). Suppose -v - 3509 = -5*x, 3*x + 5*v = m*x + 707. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 4119*r - 4*r**2 - 4071*r + 4*r**2 - 117.\nAnswer: -3*(r - 13)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -231800 and -111?\nAnswer: 25729800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 4*l. Let r = -3155 - -3154.9. Which is the second biggest value? (a) 4 (b) l (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 79. Let h = -22375 + 22363. Give c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 81*d + 56. Calculate h(-2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690150 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2 + 11*v - 8. Let l(c) = -8*c**2 + 12*c - 9. Let o(w) = -5*l(w) + 6*t(w). Let u(b) = -b - 2. Let a be u(-6). What is o(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*o + 3004*o + 3400*o + 5471*o - 2846*o.\nAnswer: 10379*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 2. Let r be p(12). Suppose 0*d = 2*d - r. Sort -5, -2, d in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99759*s = -x - 99763*s - 1, -s - 109 = -7*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 13 = 14. Let k(m) = -m**3 - 10*m**2 - 10*m - 9. Let n be k(p). Let h be 4\/8 + 11\/(-14). Are n and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5196*f**2 - 3413*f**2 - 4208*f**2.\nAnswer: -12817*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3634000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20\/1*((-4)\/30)\/((-388)\/1455)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d0 - 151?\nAnswer: 17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r - 11 = 5*f, -4*f - 28 = 2*r. Let v(o) = -o - 16. Let g be v(r). Suppose g = -5*u - 4*t + 2477, -2*u = t - 693 - 296. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(70)\/sqrt(90)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 59*h - 112. Let b be x(2). Let f = -1\/152 - 299\/760. What is the closest to 1\/3 in f, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1084 + 473. Let q = w - -881. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-21)*0)\/(-2 - -1). Suppose s = -4*b - 2014 - 10426. What is b rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 3*u + 2 - 2.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25.1062 or 77.5?\nAnswer: 77.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q + 168 = 0. Let p = q + 81. Suppose 332 = j + p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 1450.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -122020111210 (base 4) in base 6?\nAnswer: -402452244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32102 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - -0.35. Let f = -0.93 - -0.63. What is the third smallest value in f, u, -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/990*-22*-5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 2*f**2 - f + 6. Let t be i(0). Let o be 165\/t + 6\/(-12). Solve -o = -5*b - 3*g, -b + 2*g - 17 = -3*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 1. Let w(j) = 5. Let q(z) = 4*m(z) + w(z). Let r(a) = -a**2 - 4*a - 3*a**2 + 9 - 2*a + 3*a**2. Let y be r(-7). Calculate q(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhc when three letters picked without replacement from hchcchhh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.1. Let u = 0.084 + -0.454. Let o = u - -0.07. Which is the nearest to -0.1? (a) o (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2235011047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -195*f - 104. Let z be u(-18). Suppose 0 = 5*n - z - 8569. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 10 = 0. Let x = -3 + m. Differentiate 4*g**2 + g**2 + x - 3*g**2 with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(s**3 - 3*s**3 + 3*s**3) + 2*s**3 - 2*s**3 - s**3 + (0*s + 0*s + s**2)*(-5*s + 0*s + 3*s) + 2*s**3 - 3*s**3 + 0*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 106*r - 189. Let d(w) = w + 12. Calculate the smallest common multiple of d(-6) and u(-51).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 - 15*k**4 + 110*k**3 + 450*k**2 + 135*k - 675 = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 988 + -960. Calculate the remainder when 421 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3864)\/14*(-4)\/6. What is the highest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-2)*z)\/z**(-1\/14))**35 assuming z is positive.\nAnswer: z**(355\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652 divided by -320506?\nAnswer: 826\/160253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2070 - 2070. Which is the nearest to x? (a) -1.9 (b) -4 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(80) + sqrt(80) + (sqrt(80) - (-2*sqrt(80) - sqrt(80)))))\/sqrt(10))\/(1*sqrt(400)*-6).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4209*z - 75712 - 86479 - 98014 = 51261 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -146)*39458\/(-4). Let n = l - 8430361\/6. Let o = n - -4325. Calculate the common denominator of -73\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196, -662, -1510, -2932, -5120, -8266, -12562?\n\"Answer: -32*w**3 + w**2 - 245*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*d, d = -4*x + 7 + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+-406.21\nAnswer: -405.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12510476, 12510454, 12510432?\nAnswer: 12510410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17002063338819 - 17002063338819 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-240)\/(-7) + 4\/(-14). Let c = 67 - f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197657 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 6*s**3 - s**3)*((s**2 + 3*s**2 - 5*s**2)*(-5 + 1 - 3)*(-2 + 3 + 1) - 4 + 4 + 2*s**2).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**6\/360 + g**5\/30 - g**4\/8 + g**3 - 7. Let u(i) be the third derivative of d(i). Let n be u(-4). Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002314 rounded to seven decimal places?\nAnswer: 0.0002314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uruo. Give prob of sequence ouu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1\/((u*u**(-1))\/u)*u*u**(2\/7)*u**(-1) assuming u is positive.\nAnswer: u**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 261.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2740057205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4424 + -4420. Solve 4*w + 2*n = -j, -2*w - n + 2 = 2*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 22 - 22 - 26*q in the form f + z*q and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504319 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -1\/5, -0.1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from dtatasj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 8, 35, -6, 7, 0 in ascending order.\nAnswer: -6, -2, 0, 3, 7, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.041191?\nAnswer: 0.258809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z**2 - 31*z**2 - 89*z - 80*z**3 + 780*z - 691*z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 85. Let y be h(-13). Find the third derivative of y*x**4 - 17*x**4 + 139*x**2 - 99*x**2 wrt x.\nAnswer: 696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/61, 3 in decreasing order.\nAnswer: 5, 3, -2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = -4*s + 45, 0 = 4*s + 4*m - 76. Suppose -x + 4*x - 6 = 0. Suppose 0 = 3*r - 7 - x. Solve -r*y + 4*w + s = -4*y, y - 3*w = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219551435?\nAnswer: 5, 43910287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*w**4 + 0*w + 18*w**4 - 3*w**2 + 18*w**4 + 3*w - w**3 to the form r + i*w**2 + y*w + n*w**4 + t*w**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 4*i + 17. What is the remainder when g(4) is divided by (48\/15)\/((-8)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 8*z + 14. Let h be q(7). Suppose -x + 2*c = -4*x + h, 2*x - 5*c + 8 = 0. Let r be (25\/(-15))\/(x\/(-3)). Sort r, 2, -4 in descending order.\nAnswer: r, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, -2, 124 in descending order.\nAnswer: 124, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o**(1\/5))**47 assuming o is positive.\nAnswer: o**(-3478\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 27. Let h(p) = 55*p - 100. Let f(z) = -27*z + 60. Let q(j) = 5*f(j) + 3*h(j). What is q(m(r))?\nAnswer: -30*r**2 - 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)*-2)\/sqrt(7))\/(sqrt(256)*-1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*a**3*q + 114414*a**3 + 4*a**2 + 1646387*a*q wrt a?\nAnswer: -312*q + 686484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -6, -0.3, -9210, 0, 6?\nAnswer: -9210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20262.2 rounded to the nearest ten?\nAnswer: -20260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g, -431 + 427 = 4*c + 38*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j + 2*x + 350, -2*j = 5*x - 111. Let s(d) = 12*d - 20. Let u be s(2). Suppose -u*n - 24 = -j. Calculate the smallest common multiple of 3 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:09 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g + 47*g + 10*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6332270 * -0.2\nAnswer: -1266454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*a - 85*a - 83*a - 90*a - 20*a.\nAnswer: -88*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + (15 - 10) - (2 - 49)) + -18 + 27.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 57. Suppose -p + s - 3 = 5*a, 5*p = -a + 15. What is the closest to 0.03 in 0.5, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/4 + 17*z**4\/4 + 79*z**3\/4 + 47*z**2\/4 - 20*z - 16 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 488*r\/7 - 3648.\nAnswer: -2*(r - 168)*(r - 76)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, a: 3}. Give prob of picking 2 w and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -245384 and -4386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1199\/4 + -298. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1391273, -1391272, -1391271?\n\"Answer: v - 1391274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88325, 89040, 89759, 90476, 91185?\nAnswer: 91880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-7 + 7456\/(-40))?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 1 + 1)*(32*n**3 + 58*n**3 + 120*n**3 + 84*n**3).\nAnswer: 882*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1736794861 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403 - -244311304?\nAnswer: 244312212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8))**48\/(n**(-6)*n\/n**(1\/3)) assuming n is positive.\nAnswer: n**(-1136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 29*k**2 + 29*k + 39. Calculate the remainder when 357 is divided by z(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 91*t - 37 = 86*t, -4*l = 4*t - 40. Solve -4*g = 8, -9*g + l = -x - 14*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1094354, 2188860, 3283366?\nAnswer: 4377872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 9. Suppose u*m - 12 = -m. Factor 6*f**m + 4*f**4 + 3*f**4 - 4*f**4.\nAnswer: 3*f**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 351, 705, 1059, 1413, 1767?\n\"Answer: 354*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.019 - -52.981. Let d = -423.8381 - -476.83736. Let s = x - d. Round s to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 326430 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 13*o + 561 = 0. What is the highest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 94.9915?\nAnswer: -0.949915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 2 + 11 + 7 - 11*h + 10*h to the form s*h**2 + v + b*h and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 242? (a) 95 (b) -0.4 (c) 5 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let t(i) be the second derivative of i**5\/20 + i**4\/12 - i**3\/6 - i. Is t(s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9916 - 9907. Solve q = 6*q + 2*p - 21, -2*q + 5*p = u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/801011 (b) 1\/8 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (10 - -4) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) + (-644)\/(-18). Suppose 0*a - 3*a = -d. Calculate the remainder when 22 is divided by 30\/4 - (-6)\/a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfawciia. Give prob of sequence iw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*((-55)\/(-4))\/11 + 37. Solve 0 = -4*p - 28 + i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 29 = -17*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394519096 rounded to the nearest one hundred thousand?\nAnswer: 394500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 160370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 8. Suppose g*b + 4 = 4. Let n be (-2)\/(-39)*(-10 - -1). Is b at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -53047074?\nAnswer: -689611962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12787 is divided by 277.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31254.7274 and 0.3.\nAnswer: 9376.41822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22014.\nAnswer: 2, 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*q**4 - 163*q**3 + 54*q**3 + 58*q**3 + 52*q**3 + 970*q**2 wrt q?\nAnswer: 1968*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9532111 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: Collect the terms in t + 23*t**2 + 2*t - 86*t**2.\nAnswer: -63*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a)*(-1 + 5 - 2) - 1 + 1 - 3 + 3*a.\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*y - 15, -y + 6*y = -4*j + 11. Suppose -y*p + 0*p = 0. Suppose -20 = -3*n + 2*i - i, p = -4*n - 5*i + 33. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6528320 or 6528316?\nAnswer: 6528320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1008088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -2 (c) -1 (d) 495 (e) 0.3 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1950267*-22.\nAnswer: 42905874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvub. Give prob of picking 1 v, 1 b, and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 6*k - 4. Let n be m(-4). Suppose n*v = -5*o - 252 - 168, 0 = -2*o + 4*v - 196. Is o\/(-6) + 1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11079 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 14. What are the prime factors of i(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 85*y = -44 + 934 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*p - 38 = -4*p, -12 = -3*v + 4*p. Let l(o) be the first derivative of -o**3\/3 + 4*o**2 - o + 2. Calculate l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 23 = -2*n, 2*s = 6*s - 4*n + 24. Find the common denominator of 690\/(-44) + (-4 - 736\/(-176)) and (-3)\/s - (-751)\/126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g**2\/g)))\/g*g\/g**(-7\/5)*g)**(-50))**(-22) assuming g is positive.\nAnswer: g**4840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10144 = -35*j + 6. Let c = j + -286. Calculate the highest common factor of c and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 94, 159, 250, 367, 510, 679?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulluuuuuuuuu. What is prob of picking 4 u?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 10654 and -337392118.\nAnswer: -337381464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:20 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 678979420 to the power of 1\/3, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j + 1 + 0 - 2 + 0 + 210*j**2 - 26*j**2 wrt j.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 4\/17 (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1697 + 2?\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0031735+-0.3\nAnswer: -0.3031735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14753766061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 37?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 0*y**2 - 121*y**3 + 0*y**2 - 89.\nAnswer: -121*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j. Let w be (3 - -4) + 8\/(-4). Let f(y) = -8*y. Let z(i) = w*f(i) - 6*k(i). Determine z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2.1, -0.1, 34890, -4 in increasing order.\nAnswer: -4, -2.1, -0.1, 19, 34890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d = -85 + 347 + 137 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -98204*w + 193408*w + 2 - 96682*w + 2*w + 0 + 0 + (w + 4*w - 4*w)*(-2 + 3 - 2) + w - w + 2*w + 0 + 2*w + 0 in the form z*w + n and give z.\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**7\/630 - s**6\/180 - s**5\/180 + 21*s**2 + 4. Find m such that t(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005585647 to four decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 16*z + 0*z**2 - 1\/6*z**3 + 0. Let s(j) = 7*j. Determine r(s(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -22. Let j = -49 + 77. Let u = j - k. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -17*b**6\/120 + 7*b**5\/60 + 5*b**2. What is the third derivative of p(d) wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 6*w - 20. Suppose -w*n - 54 = -8*n. Suppose -9*p = -3*p - n. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003661165 rounded to 6 decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 30*t - 39. What is the hundreds digit of l(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, 110, 84, 56, 26?\n\"Answer: -b**2 - 21*b + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 5*t**2 + 6*t + 2. Let u be k(-6). Suppose 0 = -x - u*x + 21. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12896 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/((-1363)\/(-4988))*(8 - 30\/4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53001202130 - 0?\nAnswer: -53001202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 788 + 1354. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2 (b) -4 (c) -28.2 (d) 0.2 (e) -0.06 (f) 0.0154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.152 in 0.2, -2.76, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 31*s**2 + 191*s + 3574. What is the thousands digit of h(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 11*a**2 + 6. Let n(l) = 3*l**3 + 32*l**2 - 16. Let q(k) = 17*m(k) + 6*n(k). Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2933.86 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 477 and 1166.\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 1271?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 6798*t - 6095211. Give o(802).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 9*t = -102. Let y be (t\/(-8) + 5)\/3. Sort 2\/9, y, 2 in descending order.\nAnswer: 2, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(342\/(-108)*36\/(-2280))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4551*b + 4553*b - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217 - -202) + 49 + -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*p - 8*p = 24, -2*i + 3*p + 12 = 0. Suppose -80 = -i*q - 2*q. Let 3*o**3 - 118 + 12*o**4 + 3*o**5 - 8*o**2 - q*o**2 + 118 = 0. What is o?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 - u. Let n(b) = 936*b**2. Give c(n(y)).\nAnswer: -2628288*y**4 - 936*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 54088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -16*q + 14*q. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 197*t**2 + 21 + 19 + t + 3*t - 52.\nAnswer: 197*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 9. Suppose s - 3 = u. Let a be 6\/(-28) + u\/12. What is the closest to a in -0.5, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*1780.916.\nAnswer: 552.08396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqqeieie. What is prob of sequence eqi?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 36?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from {v: 9, q: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (25 + 20)) + 6 + -29?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 5*x**4\/24 - x**3\/2 - 2*x**2 + 3. Let u(h) be the second derivative of g(h). Calculate u(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n - 21*n - n**2 + 6*n to the form d + i*n + y*n**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -61, -63, -59, -49, -33?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -133, -168, -205, -244, -285?\n\"Answer: -r**2 - 32*r - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:22 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from fkdzgky?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-6 - (-6)\/2). Solve -2*r + 5*o - 10 = 0, -r + 0*r + o + 1 = z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by 5\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 1. Let g = 49 + -48. Let t(v) = 41*v - 60. Let b(n) = 10*n - 15. Let z(p) = -9*b(p) + 2*t(p). Let d(m) = g*z(m) + 6*r(m). Determine d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 2\/9*x**3 + 208\/9*x**2 - 5408\/9*x = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -357*g**6\/40 + 7*g**5\/60 + g**3\/3 - 3*g**2 - 16*g. What is the third derivative of a(b) wrt b?\nAnswer: -6426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13964749, -13964806, -13964899, -13965028, -13965193, -13965394, -13965631?\n\"Answer: -18*x**2 - 3*x - 13964728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0946366 rounded to 4 decimal places?\nAnswer: -0.0946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -103*q + 3. Let t be f(-2). Suppose t = 2*w - 211. What is the greatest common divisor of 30 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -0.08 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**4*f**2 + a**4 + 106*a**3*f**2 + 3*a**2*f + 2*a**2 + 86*f**2 wrt a.\nAnswer: -72*a*f**2 + 24*a + 636*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-12 + (-1130)\/(-50)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*f + 270. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (330\/(-18) - 0)\/((-1)\/(-3)). Let g be (96\/(-12) - -5)\/(3\/j). What is the greatest common factor of 99 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, -1.3, 1, -1.01, 0 in ascending order.\nAnswer: -4, -1.3, -1.01, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017\/36 smaller than 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 17*s - 4*s. Suppose s*x = -m + 1407, 5*m = -x - 0*m + 690. List the prime factors of x.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-1498*f**3 - 1406*f**3 - 2156*f**3 + 1997*f**3 - 1733*f**3).\nAnswer: -4796*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149756 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238689 and 33.\nAnswer: 238689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*-1*((-25058)\/2613)\/(-187)*26\/24.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -258644.1445 to the nearest one thousand.\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1468310 and 149\/7362?\nAnswer: 13214790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -84.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -30. Let y be (-5)\/(-2)*12\/t. Let z be 1\/(-6) + (-3260)\/(-120). Solve 3*o + 5 = 5*k + 25, -5*o + z = -y*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -35\/2. What is the second smallest value in -2\/3, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:18 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140, 153, 162, 161, 144, 105, 38, -63?\n\"Answer: -y**3 + 4*y**2 + 8*y + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let l(z) = 48*z**2 + z**2 - 97*z**2. Determine l(g(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 88 = 4*m - 0*f, -4*m - 5*f = 88. Calculate the least common multiple of (44\/(-8))\/(11\/m) and 73.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*o = -13, 2*z - o - 4 - 1 = 0. Sort z, 5, 4, -11 in descending order.\nAnswer: 5, 4, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11 = 2*w, -w - 2*w + 12 = 3*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**6\/120 - y**4\/24 - y**3\/3 + y**2. Let j(m) = -m**3 + 136*m**2 - 4617*m + 142. Let b be j(71). Determine p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*v**(6\/7)))\/v)\/v)\/(v*v**2))\/(v*(v\/((v*v*v**(-2\/7))\/v))\/v)**35)**(-3\/7) assuming v is positive.\nAnswer: v**(333\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(210)*-1)\/sqrt(6))\/(sqrt(700) - (sqrt(700) + -5*sqrt(700))).\nAnswer: sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-830*h - 6 + 1858*h + 8 + 1730*h)*(5 + h - 5) to the form o*h**2 + t + g*h and give o.\nAnswer: 2758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 28*u - 1 = -43. Let p(g) be the first derivative of 15 - 17*g + 7\/2*g**u. What is the derivative of p(t) wrt t?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j**2 + 4*j + 5. Let d be t(-1). Solve -n - 2 - d = 4*i, 0 = 4*i + 3*n + 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1174*k**4 + 61*k**2.\nAnswer: -28176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*k - 414 + 391, 0 = -4*k - 5*q - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*k + 4 = -2*k, -4*k = -q + 16. Suppose -q*s = x - 2*x - 219, -3*x + 183 = 3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**4\/(c\/c**(-6)*c*c\/(c*c**(-1\/8)*c*c*c*c)))**(-21\/4) assuming c is positive.\nAnswer: c**(357\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v = i + 26*v, 2*v = -i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.02215ml?\nAnswer: 0.09502215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71335580*h + 71335581*h + 25 + 11.\nAnswer: h + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4038940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 4*s - 8. Let o be t(2). Let b be (7\/5 - o\/(-40)) + 17. Let j(v) = b*v**2 + 7*v**2 - 17*v**2. Let u(q) = -2*q**2. Determine j(u(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-600)\/(-88) + (-2)\/(-11). List the prime factors of ((-2)\/5)\/(c\/(-1890)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*q. Let j be (0 + -2 - -4) + 0. Suppose -5*n = -q*n - g - 12, -3*g = 4*n - j. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*u**2 + 1406*u**2 - 377*u**2 - 423*u**2.\nAnswer: 171*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + sqrt(28)*-2 + ((sqrt(28)*-1)\/sqrt(4))**2.\nAnswer: -3*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 17 + 45 - 34.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w - 39. Let m be n(5). Suppose -10*v + 14 = -m. Let a(h) = h + 1 + h - 2*h - v*h. Determine a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 7)*(-x - 2*x + 4*x) - x - 16*x - 90*x)*(2*x**3 + 3*x**3 + 2*x - 3*x**3).\nAnswer: -210*x**4 - 210*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-1 + 2 - -6). Let q be 1*(-3)\/((-4)\/k). What is the first derivative of 6*x**3 + 5 - 8*x**3 + 14*x**3 + q wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 5*m**2 + 15*m + 24. What is the remainder when 143 is divided by r(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 21*g = -336 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2265, 2551, 2837, 3123?\n\"Answer: 286*k + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3047*u = 3*i - 3042*u - 7, -3536 = -392*i + 2*u for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2451.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175 + 2?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3637 is divided by 396.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20*r - 4. Let c(q) = 9*q - 2. Let o(y) = -7*c(y) + 3*h(y). Let i(m) = -3*m + 2. Determine -6*i(t) + 7*o(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -15. Let v(p) = 2*p - 11. Let k be v(7). Suppose 4*a + 0*a + 24 = c, -q = -k*c - 3*a. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 1434395*m**3 - 102876602360*m**2 - 308616897660*m.\nAnswer: -5*m*(m + 3)*(m + 143438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.071.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -97*w + 878. Give p(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15410 is divided by 15388?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(2\/17))\/f)\/(f\/(f*f\/f**22*f)))\/(f\/((((f\/(f\/f**(2\/5)))\/f)\/f)\/f)*f)**49 assuming f is positive.\nAnswer: f**(-20784\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, -3, 37 in ascending order.\nAnswer: -5, -4, -3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*m - 263 - 132 - 209 = 0. Let n be (-1)\/((-2)\/((-10)\/1)). Put -3, m, 107, n in ascending order.\nAnswer: n, -3, m, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 27*w**3 - 2*w**2 + 14*w - 9. Let h(y) = -14*y**3 + y**2 - 8*y + 5. Determine -4*d(i) - 7*h(i).\nAnswer: -10*i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.8152ms to nanoseconds.\nAnswer: 462815200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 - -895?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p + 117. Let r be v(-20). Let h = 188 + r. Solve h*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = -9. Suppose -4*q = 4*x + 8, 3*q = -28*x + 23*x - 10. Let w be (-13)\/(-11) - 2\/11. Solve u + w - n = q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66446110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.295856 nanograms to micrograms.\nAnswer: 0.003295856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeyyygeyawagayayyg. What is prob of picking 2 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 2. Give m(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 8*w**3 - 10*w**2.\nAnswer: 2*w**2*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5002.9 - 15.\nAnswer: -5017.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b - 11*b + 9*b - 11*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 994483049 to the power of 1\/2, to the nearest integer?\nAnswer: 31535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb8 (base 12) to base 5.\nAnswer: -102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.464 - 10.785.\nAnswer: -7.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 214064442.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*n + 26, 2*f - 5 = 5. Suppose 3*d - 15 = 2*d. Solve n + d = 3*p - 3*i, 0 = 3*p + 3*i + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoy when three letters picked without replacement from {o: 1, w: 1, y: 1, u: 5, t: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 56*k**2 - 100*k + 398. Give x(-54).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(175) - sqrt(175))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8517*b**3*u + 349*b**3 + 12*b**2 - 22*b*u - 269*b + 2*u wrt b.\nAnswer: 51102*u + 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39*(-22)\/(-572)*8\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 909?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 15*n + 302. Let g be (-5368)\/242 - 6\/(-33). List the prime factors of j(g).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 = -p - p, 3*p = -m + 14. Solve -p*l - 2*l = -4*a, -4*a + l = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 20 = -11*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*l + 264, l - 1132 = -4*j + 38. Calculate the remainder when 16755 is divided by j.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 31. Let r be 3*z\/12*2. Suppose 0 = 2*j - 31 + r. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-2)\/(-1) + 0. Let c = 7 + o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1792 (b) 8 (c) 4 (d) -20.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5637 + -24.6663. Let c = 0.23 + o. Let y = c - -24.99974. What is y rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 1. Let v be s(3). Suppose 0 = -v*b + 8. What is the third derivative of -a**b + 1 - 5*a**4 - 1 - 3*a**2 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4078267 + 1\nAnswer: -4078266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49246073 to the nearest integer?\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, 3, 10\/37, -13, 1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010010 + -10000?\nAnswer: 111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81392.97 litres in millilitres?\nAnswer: 81392970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990 - 8*l - 990.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 28*a - 152. Let m = -103 - -197. Calculate the smallest common multiple of m and l(8).\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 314*y + 4*y**3 + 344*y + 7*y**2 - 658*y.\nAnswer: 16*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 5*h + 11. Let s(q) = q**2 - 2*q - 1. Determine 2*p(j) + 6*s(j).\nAnswer: 2*j**2 - 2*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1960 divided by -20.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133677?\nAnswer: 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/9*15*(-6)\/(-1). Solve -5*r - 2*n - t = 0, 3*r + 5*n = 8*r + 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73609713 plus 5552?\nAnswer: 73615265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u**2 - 21*u**2 - 79*u**2.\nAnswer: -73*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11\/3, -20\/49, -1.1?\nAnswer: -20\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2287179 + -0.1477328. Let k = -0.081 + b. What is k rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629333?\nAnswer: 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16728357, 16728359, 16728361, 16728363?\nAnswer: 16728365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 - -7) + (-8 - -5) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2 - (2 + -5). Let y = i + 22. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/2)\/k**7)\/(k\/k**(2\/5))**(-11) assuming k is positive.\nAnswer: k**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(160)*3) + (sqrt(112) + sqrt(112) + 2 + 2)**2.\nAnswer: 769*sqrt(7)\/12 + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 27*m + 169. List the prime factors of z(58).\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 609628 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1570, -6274, -14110, -25078, -39178, -56410?\n\"Answer: -1566*l**2 - 6*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, s: 1, r: 1, f: 2, e: 1}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*138*(-72)\/108. Calculate the greatest common factor of l and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279002 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 44*p = 23*p + 1421. Solve -14*i = -9*i - 2*t + p, 2*i = 4*t - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 508, 495, 482, 475, 480?\n\"Answer: z**3 - 6*z**2 - 2*z + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*q = 202 - 1, d - 225 = -4*q. Suppose -2*k = i + 21 - 228, 4*k = -4*i + 832. Is d < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 + 536470*z**2\/7 + 153278*z + 536474\/7.\nAnswer: -2*(z - 268237)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 15*o - 4. Let g be r(-14). Let i = -7 + 0. Let n = g + i. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.75 + 2.9. Let f = -0.05 - q. Let y(t) = t**3 - 5*t**2 + 4*t + 1. Let o be y(3). Put f, o, -3 in descending order.\nAnswer: f, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48062 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80\/(-50))\/((-3)\/15). Suppose -3*w + 55 = 5*o, 0 = -4*o - v*w + 6*w + 46. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1923210 and 540?\nAnswer: 3846420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 17*p + 4*p + 33 - 73.\nAnswer: -13*p - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.67 - 0.88. Let o = -1.133 - z. Let i = o - 0.4. What is i rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -75, -1059 in descending order.\nAnswer: 2, -75, -1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*m - 5, -3*m + 4*m - 7 = -3*x. Solve 0 = 2*l + x*l + 2*a - 7, -2*l - 3*a = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2434*n + 271. Is z(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 + 131*f**2 + 34*f + 29. What is a(33)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5041 (base 7) to base 13.\nAnswer: -a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 0 + 0 + (1 - 1 - q)*(-3*q**2 - 3*q**2 + 2*q**2).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79471 + 126944. What are the prime factors of q?\nAnswer: 29, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16700*a - 267237. Determine c(16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1471267 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 20, 4*p - 11 = 2*p - s. Let r(a) = -23*a. What is r(p)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169 and 455?\nAnswer: 5915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8322485 and 68565?\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -20*j - 104. Let l(h) = -2*h - 13. Let p(k) = 8*l(k) - w(k). Calculate p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 4 - (27 - (36 - -13))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(13\/5)\/(s\/(s\/(s\/s**(1\/5)*s))))**(-5)\/((s\/(s\/s**2))**(-1\/5)\/(s**(2\/13)*s*s**1*s)) assuming s is positive.\nAnswer: s**(-29\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by -1156142.\nAnswer: 44\/578071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-6)\/30)\/(3\/3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 14*j + 2 - 10*j as h*j + k and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66154 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + 10.9. Let l = -9 - -4. Let v be (-12)\/9*(75\/26 + -3). Put l, f, v in decreasing order.\nAnswer: f, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7624 is divided by 2503?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c (base 15) in base 3?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 + -237 + 84 + -120.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3 - 32*d - 28*d - 2 + 59*d. Let n(t) = t + 4. Let c be n(0). Let r(y) = y - 2. Calculate c*r(j) + 7*w(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17019323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54)\/(sqrt(3)*2) - sqrt(288)*2)*1)\/(3*sqrt(225) - sqrt(9) - (sqrt(324)\/sqrt(9) + sqrt(36) - sqrt(36))))**2.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82977636283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/4 (c) -130 (d) 0 (e) 2\/3 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1168223\/176706*(-48)\/14?\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 11*y - 26. Suppose y = -5*l - 4*x + 24363, l - 19482 = -3*l + x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2021?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 11*l**2 - 9*l + 3. Let f be c(-10). Let k(z) = -z - 6. Let m be k(f). Suppose 20 = 3*v - m. Solve -h - 3 + v = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 62*q + 1301. Give x(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.282 - 0.282. What is the biggest value in m, -1, 14\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/1020)\/(1\/(-4)*24\/30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97629, -195294, -292959, -390624?\n\"Answer: -97665*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 448*i + 41340.\nAnswer: (i + 130)*(i + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 208\/(-2) + 2\/(12\/30). Let j = x - -110. Sort j, 0, 3, -5.\nAnswer: -5, 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from {h: 5, k: 11}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 + 2*r**2 + 5*r**3 + 9*r - r**3 - 2. Let h be x(6). Suppose 3*v - h = -v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3573, -7142, -10711, -14280, -17849, -21418?\n\"Answer: -3569*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 3. Let z = 22 - 17. Let u(y) = -2*y + 3 + 2 - z - 4. Let h be (1 - 2) + 1*-1. Determine h*u(r) - 3*k(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2\/24*4*-2. Suppose -3*s + 1970 = u*l + 3*l, -4*s + 2612 = 3*l. List the prime factors of s.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5244 is divided by 1739?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.449.\nAnswer: -0.5796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/17)*q**(-2\/5))\/((q*q*q**(2\/3)*q*q*q*q)\/q**23) assuming q is positive.\nAnswer: q**(4303\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -12. Let u be (-3)\/5*(-5 + m). Suppose 3*g - u = -2*c, 0 = -2*c + 4*c. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0598 - -0.3007. What is p rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -5*a + 205 - 22, -5*d = 3*a - 16. Solve a*m - 118 = -50 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d**2 + 3*d - 15. Suppose -9*o - 21 = -2*o. Let r(y) = -5*y**2 + y - 8. Let m(n) = o*b(n) + 5*r(n). Is m(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkxdtddnk. What is prob of sequence nx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a**3 + 11*a**2 + 11*a**3 - 28*a**2 - 10*a**5 wrt a?\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:25 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2411014, 2411010, 2411006?\n\"Answer: -4*g + 2411018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x + 0*x + (0 + 3*x + 0)*(2*x + 0*x - 4*x))*(-199 - 282 + 47).\nAnswer: 1736*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120736.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/35)\/g)\/g)\/(g*g**(-3)*g*g*g*g*g))\/(g**12*g*(g**15\/g)\/g) assuming g is positive.\nAnswer: g**(-1086\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 divided by 3?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 13893220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 2*a)*(2*a - 3*a + 0*a) + 4*a**2 + 0 + 0 + 5 - 5 + 7*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -99. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4452\/(-32277)*3\/6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a**2 + 416*a - 8 - 2 - 408*a. Calculate the remainder when 568 is divided by o(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152606.\nAnswer: 2, 76303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u + 4. Let x(o) = o + 1. Let f(t) = -11*x(t) + 2*z(t). Give f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77114*o - o**2 + 302*o**4 - 15*o**3 - 77114*o)*(-3 + 3 - o).\nAnswer: -302*o**5 + 15*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 18*a + 9. Let j be v(17). Let b = 26 - j. Solve -5*i = -b*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125313 (base 6) to base 10\nAnswer: -11565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-24 - -59) - -60?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/16296 and 127\/5820?\nAnswer: 81480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 6*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391968 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3*(-10)\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3312 + 3314. Let z(j) = -2*j - 2. What is the remainder when z(-5) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)*h*h*h\/h**3*h*h)\/(((h**2\/h)\/h)\/h)**(-2\/21))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 21*f = -o + 27, -3*f + 3*o + 9 = 0. Solve -13*n + f = -16*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2519 + 2?\nAnswer: -2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:39 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(216) - 4*(0 + sqrt(3))) + (1*(sqrt(432)*-2 - sqrt(432)) + 1)**2.\nAnswer: -455*sqrt(3)\/6 + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g + 78*g + 24 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + 2*d + 3*d + 1 + 2*d - 1 + (6 - 1 - 4)*(2*d - 5*d + 5*d) - d - 3*d + 6*d - 3*d + 3*d - 2*d + (53 + 8 + 22)*(501 - 262 - 250 - 2*d).\nAnswer: -163*d - 913","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6763, -28178, -63871, -113842, -178091, -256618?\nAnswer: -349423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 - -82. Let m = -432 + z. Is m a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t - 1336*t = 1292*t - 149*t + 103157 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085832 rounded to 4 decimal places?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 + 2*q + 1. Let r be g(2). Suppose 4*b + s - 28 = -r, 3*b + 4*s + 2 = 0. Solve -3*t + b + 6 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1544702*m**4*s - 343941*s wrt m?\nAnswer: 6178808*m**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 7, 17, 29, 43, 59, 77?\n\"Answer: j**2 + 5*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u**6 - 5*u**6 + 2*u**3 + 6*u**6 + 3*u**6 - 4*u**2 wrt u?\nAnswer: 1080*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/117 and 19\/3?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -89*u + 1. Let y be a(-1). Suppose -4*t = t - y. Let j be ((-1)\/3)\/((-2)\/t). Solve 5*r - w = 0, -7*r + 1 = -j*r - w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 7*t - 296. Let d be n(-12). What is the greatest common factor of 2242 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/611529 or -1?\nAnswer: -20\/611529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 557\nAnswer: 17\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6*h - 2*h = 19, 9 = w + 4*h. Suppose 9*g - w*g - 1596 = -2*n, -n = -3*g + 1207. What are the prime factors of g?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 38*v**2 + 169*v + 4174. Determine c(44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*u + 17 = 0, -5 = -5*x + 3*u - 2. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -9. Let x = h - 48. Solve x = -5*w, w - 20 = -2*t + 3*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157617 or 141?\nAnswer: -157617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4525 (b) -3 (c) -39 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 628 - 428. Suppose -5*t - 3*a + 185 = a, -d = -5*t - a. What is the first derivative of -4 - t*n - 1 - 3 + 25*n wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a - 3*a)*((-1 + 3 - 1)*(2 - 3 + 0) + (1 - 4 - 1)*(2 - 3 - 1))*(1 + 2 + 1)*(a**3 - a**2 + a**2).\nAnswer: -112*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273812.\nAnswer: 2, 3, 101, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*2*sqrt(1216) + sqrt(1216))*4 + (-1*sqrt(19) - sqrt(19))*5 + ((sqrt(171))**2 + 3 - sqrt(19)))*2.\nAnswer: 356 + 170*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-68)\/14 + -1.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28627.6367898 and 0.3.\nAnswer: -28627.3367898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51808.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**6\/30 - 6*x**5\/5 + x**4\/2 - 7*x**3\/6 - 96*x. What is the third derivative of o(r) wrt r?\nAnswer: -24*r - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q - 3*q)*(-3*q + 5*q - 3*q) - 117*q**2 + 11689 - 11689 + (0 + 0 + 2*q)*(2*q - 4 + 4).\nAnswer: -114*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.13, 0.2, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.55133nm in centimeters?\nAnswer: 0.000008855133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1332*f + 2188.\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/4 - j**2\/2 + 2*j - 25. What is h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1162798 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - p**2)*(-235*p**2 + 77*p**2 - 399*p**2) + p**4 + 0*p**4 - 3*p**4.\nAnswer: 1112*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27077 - 32?\nAnswer: -27131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 274*o**2 + 8*o + 79. What is the tens digit of c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 12. Let v be x(3). Suppose -s - 416 = -2*c + 1173, -4*c + 3173 = -v*s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5829.22236869 + -5857.222368. Let d = b + 28. Round d to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -812, -3995, -11964, -27113, -51836, -88527, -139580, -207389?\n\"Answer: -399*x**3 + x**2 - 393*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -187, 337, 5 in decreasing order.\nAnswer: 337, 5, 0, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421*(-1 + -2*(-3 - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -265, -267, -269, -271?\n\"Answer: -2*v - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246902.\nAnswer: 2, 41, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -11. Let g(v) = -3*v + x - v + 5*v. Let w be g(-5). What is the nearest to w in 1, -2\/7, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p - 5. What is d(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 11) in base 4?\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 7*i**2 - 92*i + 1. What is the remainder when o(10) is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -26. Let d = 15 - t. What is the lowest common multiple of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795 less than 2?\nAnswer: -3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051565 to 4 dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-10))\/4)\/(-5*32\/100).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let m(i) = -z - i**2 + 1. Let u(n) = -n**2 - 6*n**2 - n**2 + 6*n**2. Calculate m(u(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -105199 at least as big as -105538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, m: 2}. What is prob of sequence tt?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 50 = 76. Suppose 10*b + b - 238 = -6*b. Solve -b*z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*n - 1\/4*n**2 - 1\/4 = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749 greater than or equal to 6758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -2\/3, 5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 96*y = 375 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*k + 3. Let n(d) = 5*d**3 - 2*d**2 + 1. Let i be n(1). Let m be (-3)\/6*i\/6. Which is the closest to m? (a) -3 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659304770 to the nearest integer?\nAnswer: 25677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 5*b + 9, -5*k - b = -45. Let w = k + 11. What is the remainder when 53 + -4*(-3)\/6 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 h when four letters picked without replacement from wfhhjwhfwhhfhhffhhkw.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -2 - (-20 - -1) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s + 0*s - 2*s)*(-22 + 135978*s + 39867*s + 77321*s + 22) to k + r*s + w*s**2 and give w.\nAnswer: 506332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 4*x - 4. Let q be s(4). Let r be ((-6)\/12)\/(2\/q). Suppose p + r*a + 15 = 0, 2*p + 4*a = p - 11. What is the biggest value in 2\/7, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or 4.13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3492\/17 + 120401\/595. Let s = -16\/5 - j. What is the third smallest value in s, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from lnlllllllln?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-105)\/10 - -12)*16. Solve -190*f = -202*f + h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407352.\nAnswer: 2, 175919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b8 + 343f?\nAnswer: 34f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/184? (a) 2\/9 (b) -4 (c) -3\/7 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -355.\nAnswer: 19\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40532679?\nAnswer: 3, 11, 401, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n - 4*n**2 + 8*n**2 - 7*n**2.\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383, -2856, -4329, -5802?\nAnswer: -7275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513895 divided by -6.\nAnswer: 513895\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 1, i: 2, e: 1, j: 2, n: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 1. Let i be n(1). Let u = i - -4. What is the second derivative of -13*a + 0*a**2 - a**u + 11*a wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 106 = 250. Suppose 6 = -10*o + f. Is 21\/17 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -1079*q**4\/4 - 2*q**3\/3 - 400*q + 29. Find the third derivative of j(y) wrt y.\nAnswer: -6474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 + -148.4.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2 - 40. What is the highest common divisor of 553 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atjatyaaaaaaaqjaatq. What is prob of sequence yt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4\/4 + 4*h**3\/3 - 5*h**2\/2 + 2*h - 112. Suppose t(j) = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 10*u**2 - 21*u. Let x be g(-7). Let j(i) be the second derivative of 0*i**2 + x*i**3 - 1\/12*i**4 + 0 + i. Let t(o) = 2*o. Calculate t(j(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/5764 and -69\/28820?\nAnswer: 28820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*813902.7.\nAnswer: -244170.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 88 = 95, 3*j = 2*q + 2371. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 16*n**2 + 20*n - 1371. Give d(22).\nAnswer: -3835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6981*f + 202441. Calculate n(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 1 - 5 - 146*k**2 + 5 + 119*k**2 in the form w + s*k**2 + u*k**3 + q*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 10*m - 912. Suppose -m = -2*n + 5*u, -6*n + 5*u = -n - 220. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566682 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 8*l**2 + 3*l**2 + (-1 + 8 - 9)*(-l - 2*l + l)*(9*l + l - 5*l) to a*l**2 + y*l + h and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.005 + 1.105. Let c = 2.1 - m. What is the biggest value in -3, c, 2\/33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275194 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 + 11*p**3 + 2*p**2 + 2109*p wrt p?\nAnswer: 60*p**3 + 66*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72342171 is divided by 1205?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 84708 = -0*a - 6*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -t, 0*t = -2*a + 2*t. Is 154 + 3\/1 + a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 43*l - 14. Let w be g(38). Calculate the highest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -205\/7. Let t(a) be the third derivative of a**6\/120 - a**5\/12 + a**4\/24 - 5*a**3\/6 + 2*a**2. Let n be t(5). Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*v + 2919, -v - 4*b - 5844 = 3*v. Let f = 2843 + v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1619 - 0.0619. Suppose -12 = 4*c - 4*p, 3*c + 0*c + 2*p - 6 = 0. Put c, w, 1\/3 in increasing order.\nAnswer: c, w, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-4\/15)*g))\/((g*g*g*g*g*g\/(g\/(g\/(g*g**(1\/5))))*g*g*g)\/g)*(g**(-4))**(-49) assuming g is positive.\nAnswer: g**(2842\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3393, 6789, 10185, 13581, 16977?\n\"Answer: 3396*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**3 - 7*h**2 - 19*h + 1. Let l(p) = 6*p**3 - 4*p**2 - 10*p. Let m(q) = 7*l(q) - 4*x(q). Find w such that m(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3892 is divided by 3814?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4\/(-5))\/2. What is the nearest to 1 in 1\/2, z, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/113)\/x*x)\/x*x\/(x\/(x*x\/((x*x**(-9))\/x)*x))*x*((x*x**(5\/11))\/x)**(-3\/14) assuming x is positive.\nAnswer: x**(207437\/17402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 23 = 2, -2*h - 158 = -2*i. Let p be h\/(-26) - (-20)\/130. Find the first derivative of -25 + 15 + p*w**2 + 11 wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 2:40 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.249 + -131.751. Let i = c - -130.78. Round i to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18528229\/4 or 4632058?\nAnswer: 18528229\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-32)\/5)*1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7479 and 7849349.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 7*l = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**12)**34)**(2\/15) assuming x is positive.\nAnswer: x**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117))\/sqrt(9) + sqrt(3900)\/sqrt(3) + (sqrt(13) + 1 + -2 + sqrt(13) - (3 + 1*sqrt(13))))**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*h - 20, -q = 4*h - 12. Solve -2*t + 1 = -q*v - 3, 0 = -4*v - t - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 29 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 2 e when four letters picked without replacement from {a: 1, e: 2, o: 2, w: 1, r: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/9)\/((-2)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 52*y + 320. Let t be u(7). Which is the second biggest value? (a) 4 (b) t (c) 2 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15)*45\/(-9). What is the tens digit of 0 - (-951)\/s*30\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbqbboefoqb. Give prob of sequence qo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -165340, -163076, -160812, -158548?\n\"Answer: 2264*v - 167604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - x = -43, 0*g = -4*g + 3*x + 66. Let k = 15 - g. Let s be 3 - 10 - (k + -1 + -1). Put s, -2, 2 in descending order.\nAnswer: 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + 306\/(-72).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 times -25351.5\nAnswer: -6844.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 4 = 4*s. Let d(a) = -a**3 + 6*a**2 + 6*a + 5. Let q be d(7). Let x = s - q. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15157161, -15157146, -15157111, -15157050, -15156957?\nAnswer: -15156826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3747 is divided by 1239?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8499 and -89\/15?\nAnswer: 42495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 9*w - 10. Suppose 0 = n - h - w*h - 14, 2*h - 4 = -n. Solve -10*y**2 - 2*y**3 + n*y**3 - 6*y + 2 - 440*y**4 + 448*y**4 = 0 for y.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 + -29.83. Let h = s + 28.3. Let n = -2131 + 2135. Which is the second smallest value? (a) n (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -76*i**5\/5 - 655*i**3\/3 - 611. Find the third derivative of o(r) wrt r.\nAnswer: -1824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 0, 1, 2, 5 in increasing order.\nAnswer: -4, 0, 1, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*-2*3 - sqrt(171)) + sqrt(171) + -1*sqrt(171)*-4)\/(6*sqrt(729)*-1*2).\nAnswer: sqrt(19)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 24*x + 576.\nAnswer: -2*(x - 24)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 5*g - 7*g - g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 (base 10) in base 15?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376233 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccnpcnubcuuccc. What is prob of sequence cbpc?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 53. Let c be s(18). Calculate the remainder when 43 is divided by 1\/(-3) + (c - 469\/(-21)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*b*x**4 + 4*a*b*x**2 + 29*a*b + 301*a*x - b + 762 wrt x?\nAnswer: -4*a*b*x**3 + 8*a*b*x + 301*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 1 - 8. Let v be (2 - 4)\/(-2) - (2 - t). Let n = v + 3. Is 5 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -4 + (-28)\/(-7). Solve -4*n + n - 26 = -5*x, -4*x + f*n = -20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6713, 26641, 59859, 106367, 166165, 239253?\nAnswer: 325631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be - -1?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478, 486, 516, 568, 642, 738, 856?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4866)\/(-16)*4\/(-246). Let g = -38249\/4182 + 155\/17. Let k = o - g. Calculate the common denominator of k and -37\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l - 21*l = 14*l - 1449 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.0603.\nAnswer: -0.3015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312798 divided by -2.\nAnswer: 156399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16805845 or -16805844?\nAnswer: -16805845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117500, -234522, -351544?\n\"Answer: -117022*k - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 90. What is the least common multiple of 12\/54 + 284\/w and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x. Find the third derivative of -2*u**4 + x*u**4 + 4*u**4 + 3*u**2 + 2*u**2 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -862 by -525.\nAnswer: 862\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 9*r + 2. Let t be o(-7). Let z = t - 14. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2*w + 2*w + 5. Let j be k(6). Let q be j*(-1)\/(3\/24). What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 - d**3 + 6*d**3 - 8*d - 2*d**2 - 2*d**4 - 2 - 3*d**3 to the form z*d**2 + a*d**4 + f*d + l + s*d**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2061 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*g**3 + 71*g**3 + 146*g**3)*(0*g + g - 3*g + (-g + 2*g - 2*g)*(1 - 1 + 1)).\nAnswer: -441*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**5 - 755*i**4 - 1525*i**3 - 765*i**2 = 0. Calculate i.\nAnswer: -1, 0, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 153003392 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148486718*g**3 + 344122112.\nAnswer: -445460154*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10001*b = -10010*b + 18. Solve b*m = -8*m + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -4*k**2 + 0 + 0*k - 13\/6*k**3 + 1\/3*k**4 - 1\/60*k**5. Determine i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 0 - ((14 - (21 - 0)) + 12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1440\/(-2520))\/(112\/(-23716))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((110\/11)\/20)\/((-5)\/(340\/(-2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 489 and 12?\nAnswer: 5868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116954124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(272) + 0 + sqrt(272)) - (sqrt(34)\/sqrt(2)*-6 + sqrt(17) - (sqrt(612) + -1)))**2 + -2*(1*-1*sqrt(272)*-1)**2.\nAnswer: -118 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-5) - (-4 - 12 - -13)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5680, 5689, 5696, 5701, 5704, 5705, 5704?\nAnswer: 5701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1545417 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1\/3 (c) 628\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**1*i)\/i)\/(i*i**(-2)*i*i))**8*((i\/i**(2\/3)*i)\/i*i\/i**(-5))**34 assuming i is positive.\nAnswer: i**(670\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1091200410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**4\/12 + w**3\/3 - w**2. Let c be a(1). Solve 5*f + 3*m = -3, c*m = f - 2*m - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + -4*(-1 + sqrt(200))**2.\nAnswer: -804 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16364, 16445, 16492, 16505?\nAnswer: 16484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*k - 3*k = 48*k + 855 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -0. Let l be (-1 - -1) + (9 - a). Solve 0 = -l*o + 4*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 smaller than -435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeaeeaazaaaaazaazea. Give prob of picking 2 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/14 - (-108)\/(-56)*-2. Solve 20 = -0*b - x*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5847 + 13181. Suppose 2*v + j = 4*p, v - 4*p + 3665 = -p. Let m = v + 43993\/12. Calculate the common denominator of m and -3\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.27 - 0.27. Which is the biggest value? (a) -1 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 times 117?\nAnswer: 22113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*f + 2*f. Suppose -c = 2*v + 29, -26 + 96 = -5*v - 2*c. Let w = v - -23. Calculate the remainder when f is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, -7, -0.4, -23, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p + 27*p - 456. Let s be 70\/40 - (-3)\/p. Which is the closest to s? (a) -26 (b) -5 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122012233*y**3*z + 94327813*y**3 wrt z?\nAnswer: 122012233*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(90)*-4) + 3.\nAnswer: -sqrt(7)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 4, 0.1, 162502?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027265 rounded to 6 decimal places?\nAnswer: 0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -8 + 7 - (672 + -576).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdddndnhnndddnqdn. Give prob of picking 1 d and 1 q.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 11. Let n be g(-7). Let i(b) = 9*b - 15. Let x(p) = p - 2. Let y(t) = n*i(t) + 33*x(t). What is the least common multiple of y(-6) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 40958665*g**2 - 40958665*g**2 + 3.\nAnswer: 2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*z - 14 + 44, 5*f + 45 = -4*z. Let d = -0.13 - 0.01. Let p = -0.36 + d. What is the nearest to -0.3 in 1\/10, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -35579 in descending order.\nAnswer: 4, -5, -35579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 - m**3\/6 + 3*m**2\/2 + 100*m. Calculate w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1098 - 663. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/43 or 2?\nAnswer: 58\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470*s + 1493*s = -575 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.02 (b) -3\/7 (c) -4 (d) -3674\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/6 + (-2)\/(-4). Let r be x\/4 + (-1 - -2). Is r\/2*14\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2988, -2982, -2976, -2970, -2964, -2958?\n\"Answer: 6*g - 2994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.31 and -55941829.\nAnswer: -55941828.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.626 - 1.826. What is the biggest value in -3\/2, -569, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 - ((64 - 79) + -17)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102284 is divided by 102238?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -516617122331001381.00000061 - -516617124462443939. Let x = f + -2131442547. Let k = 11 - x. What is k rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-2\/7))\/d)\/d*d)**(-14)\/((d\/d**(4\/7))\/d**5))**(-27) assuming d is positive.\nAnswer: d**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o + 0*o**3 + 15*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*h - 27*h + 51 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 + 64587*d**2 + 258312*d + 258300 = 0. Calculate d.\nAnswer: -21525, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-270)\/351)\/(88*(-1)\/7) and 61\/10.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-24 + 29 + 18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 13374.\nAnswer: 40122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -29, 238, -20, 3 in increasing order.\nAnswer: -29, -20, -6, -2, 3, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 2:35 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 2031841?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 30495.76 centuries?\nAnswer: 3049576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -2*v**4\/3 - 50*v. Let b(a) = -10*a. Determine b(l(c)).\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w + 12 = 0. Let o = 18 + w. Let z = o - 0. Calculate the greatest common factor of 132 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 4*w + 12. Let n be g(-6). Suppose -2*d + 6*d - 44 = n. Solve -1 = -4*r + d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*u + 143*u + 16. Let j(b) = -b**3 - 2*b**2 - b + 1. Let h be j(-1). Solve -y + u*y + h = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41677 is divided by 443?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 3*t + 1 + 2 + 0*t - 41*t**3 + t**2 + 13*t**3 as f*t**3 + q + h*t**2 + j*t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -3, 5, -2, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116\/441 + -2\/49. Which is the third smallest value? (a) 6 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739190 is divided by 210?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151 - -196. Let h = 38 - a. What is the third biggest value in -3, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.50832 rounded to zero dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the fourth biggest value in -0.11, -1\/5, -2615, -1?\nAnswer: -2615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-200*d - 3964*d**2 - 3853*d**2 + 7807*d**2)*(7*d**2 - 3*d**2 - 2*d**2) to the form f*d**3 + t + c*d**2 + r*d**4 + b*d and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 2. Let p(l) = -2*l - 1. Let v(i) = i - 10. Let f be v(6). Let k(z) = f*n(z) + 9*p(z). Give k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 - 598. Let t = r + 483. Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-13 - 693\/(-27))*(38 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005379 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*n - 2*a, 2*n + 2*a + 3 = 5. Suppose -s = n*s - 955. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3744 and 3368352?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 198, -80, -336, -570, -782, -972, -1140?\n\"Answer: 11*u**2 - 311*u + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/1721 + -197891\/10326. Let p = -35 - -23. Find the common denominator of j and (-219)\/p + (-2)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose h*w - 4 = 35. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -107, -276, -421, -542, -639?\n\"Answer: 12*d**2 - 205*d + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 3*z**6\/5 - z**5\/10 + 7*z**4\/12 + z**3\/3 + 14*z + 72. What is the third derivative of i(k) wrt k?\nAnswer: 432*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -37, 2, 1, -2, 3 in decreasing order.\nAnswer: 3, 2, 1, 0, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 + 36 = 0. Let n(u) = 20*u - 58. Is 12 a factor of n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b + 225 = 0. Let m be 38\/5 - 18\/b. Suppose m*w - w = 371. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2944677 bigger than -2944666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-31)\/372)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19459, -19449, -19439, -19429, -19419?\nAnswer: -19409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134626, -538422, -1211416, -2153608, -3364998, -4845586, -6595372?\n\"Answer: -134599*i**2 + i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 218, 2.\nAnswer: 2, 146, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26003, -25972, -25935, -25892, -25843, -25788, -25727?\nAnswer: -25660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -327 or -4924\/15?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 79, 82, 43, -50, -209, -446, -773?\n\"Answer: -2*y**3 - 3*y**2 + 56*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6065362, -12130825, -18196288?\n\"Answer: -6065463*w + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.04 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60170923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (3 - 1) - (-46 - -36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3364*m**4\/5 + 238842*m**3\/5 + 3579154*m**2\/5 - 24290208*m\/5 + 2888 = 0. Calculate m.\nAnswer: -38, 1\/1682, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(6*(-4 + sqrt(432)*1 + sqrt(432)) + -2) + -3)**2.\nAnswer: -25056*sqrt(3) + 189147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y + 2. Let v = 6 - 4. Let k(o) be the third derivative of -o**6\/120 + o**5\/60 + o**4\/24 - o**2. Let t be k(v). Give h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3)*60\/(-8). Let a(j) = -6*j - 4. Let c(v) = 8*v. Let k(r) = 9*r - 1. Let n(i) = -4*c(i) + 3*k(i). Calculate w*n(z) - 4*a(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/2 of a centimeter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/55)\/(((-24)\/(-10))\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + u - 9, -4*x + 6*u - 2*u + 4 = 0. Suppose -4*p - 4 = x*g - 2, 4*g + 4*p - 4 = 0. Solve 0 = -5*z + 5*m + 5, 3 - 18 = g*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 3*t, -8*t + p = -5*t - 11. What is the least common multiple of 9 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-93)*12\/(-32). Let m = 17\/36 + w. Find x, given that -2\/3 + 2\/9*x**3 - m*x**2 - 10\/9*x = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 >= 382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*y**3 + 2\/3*y**5 + 0 + 0*y**4 + 0*y + 0*y**2 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 9449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102111002331 (base 4) in base 3?\nAnswer: 100001002221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129805 divided by 65?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllzleazzzxelxexze. What is prob of sequence az?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 437287.\nAnswer: 437287.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-2))\/4*(-1)\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 98, 2\/39, 60, 0.5 in decreasing order.\nAnswer: 98, 60, 0.5, 2\/39, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 20*y = -5*n + 39, 22*y - 20*y - 27 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539377?\nAnswer: 3, 163, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/6 + 3419*l**3\/3 + 1887084*l**2 + 3586212496*l\/3 + 789001227328\/3.\nAnswer: (l + 692)**3*(l + 4762)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2. Let p(d) be the third derivative of 2*d**2 + 0 - 1\/24*d**4 + 0*d**3 + 0*d. Calculate a(p(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lzlzzll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 25*h - 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1374, -1, 7, 4.\nAnswer: -1374, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -146?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:11 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 2*m**2 + 17*m**3 - 6*m**3 - 1 + 3 - 6*m**3 - 6*m**3. Let y = -2 - -4. Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -0.26. Let s = 23725 - 23724. What is the closest to s in 0.2, 1, -4, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263571171*c**4 + 2*c**2*j**2 + 126*c*j**2 + 2051*j**2 + 39 wrt c.\nAnswer: -3162854052*c**2 + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3072 + 3772. What is the highest common divisor of 84 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -8 - -10)\/(-1) + 55\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/((-4)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-3*sqrt(588)).\nAnswer: -sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -8. Let r be (-86)\/(-10) - i\/(-15). Let z = r - 2. Solve -3*c + 3*g + 27 = 0, -2*c + z*g = 4*g - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 7*u**2 + 10*u + 2. Suppose -4*l + 2*l = -10. Is x(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 47. Let n = -2 - 3. Which is the third smallest value? (a) n (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.9. Let k = -0.2 + t. Let b = k - 0.3. What is b rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 64 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.26 - 12.66. What is the nearest to -3 in o, 3, 0.02, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p + 10. Let z be 3 - (-2 + 0 - 1). Calculate the remainder when l(z) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*g - 480*g + 296*g - 2 + 2.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29661 - -0.4894.\nAnswer: -29660.5106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - -0.2. Let n = -27.8 + 32.8. What is the second biggest value in n, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1417 and 63380993.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244144)\/30518 + (-1)\/(7\/(-48))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 58*w**3 + 177*w**2.\nAnswer: -w**2*(w - 177)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -336 + 85. Let l = w - -277. What is the highest common factor of l and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v + 4. Let b(z) be the third derivative of 2*z**2 + 0*z + 5\/6*z**3 + 12 + 11\/24*z**4. Calculate -5*b(g) + 6*s(g).\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 - 2*p - 6*p**2 + 6*p**2 to the form j*p**2 + v + a*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -51.2. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*z - 198648 = 0, -86*d + 7*z + 148946 = -83*d. What are the prime factors of d?\nAnswer: 2, 7, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x. Let i(j) be the third derivative of 39*j**5\/20 - j**3\/6 + 11*j**2 + 91*j. Give r(i(d)).\nAnswer: 351*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddkqxqjxld. What is prob of picking 1 x and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 8*j - 12. Let x be c(10). Let g be 1 + x + 1 + -3. Suppose 28 - g = z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 30 + d**2 - 8.\nAnswer: d**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l - 108 = -4*d + 12*l + 7*l, d - 56 = -2*d - 2*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -4. Let i(d) = -2*d + 2. Let v(q) = -35*q + 55. Let t(c) = 5*c - 8. Let k(h) = -20*t(h) - 3*v(h). Let j = -6 - 3. Give a*k(u) + j*i(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3039071 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p**3 + 23*p**2 - 24*p**2 - 3*p**3 + (-1 + 4 + 1)*(-2*p**3 - p**2 + p**2) in the form z + b*p**3 + n*p**2 + l*p and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 2*x - 50 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 1. Suppose -5*j = 663 - 193. Let c = j + 100. Calculate the remainder when d(5) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/11 + 247*c**4\/11 + 4231*c**3\/11 + 25213*c**2\/11 + 5264*c + 44884\/11 = 0. What is c?\nAnswer: -229, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9498 divided by 6?\nAnswer: -1583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.5. Let f be 1 + ((-14)\/(-22))\/((-11)\/55). Let p = -61\/33 - f. Which is the second smallest value? (a) p (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-4.40621.\nAnswer: 0.2643726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 41. Suppose 0 = 2*q + 4*f + c, 3*q + 2*f = 7*f - 60. Let g = q + 7. Which is smaller: g or -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o - 19*o + 4*o + 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 5. Let d be p(6). What is the units digit of 0 - d*(1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81383, -81382, -81381, -81380?\nAnswer: -81379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 515 + 734*y**3 - 3*y**4 - 733*y**3 + 7*y**4 in the form l*y + c*y**2 + h*y**4 + p + j*y**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28080 - 14031 - 14050 + 242*v)*(2*v**4 - 3*v**4 + 0*v**4).\nAnswer: -242*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 13*y**2 - 13*y + 15. Let j be l(12). Let f = -3 - -3. Let c be (0 - 1)*(f - 0). Solve i - 7 + j = c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = 0. Suppose o*a - 5*a = 5. Suppose -3*c - 12 = 0, -4 = -3*r + 4*c - 3*c. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from llzlwlxwx.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9) + 17\/(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 23, 3 in decreasing order.\nAnswer: 23, 5, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, 0.0683, -2\/213, -11?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -596 + 12514\/21. Sort a, -4, -122 in increasing order.\nAnswer: -122, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*v + 352*v - 97*v + 68*v + 7*v**3.\nAnswer: 7*v**3 + 668*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 16\/(-4) - -1584. Suppose 1579 = 2*q - 5*p, 3*q + p - a = q. What is the highest common divisor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2278\/(-68) + 31 - (-22)\/8. Let m be (-3)\/(-84) - 4\/14. What is the closest to -0.3 in m, 1\/7, n, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -40. Let f be (-1)\/4 - 60\/h. Let i = f - -16. Calculate the lowest common multiple of 2 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 298a1 + -72?\nAnswer: 2982b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + h - 54, -3*h + h + 38 = 3*m. Suppose m*w = -6*w + 40. Solve -w = g + 4*l + 4, 2*g = 2*l + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/135 and 19\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 2*m**3 + 2*m**3 - 2*m**2 - 2*m. Let a be (-3)\/((-1 - 0) + 0). Is 11 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(80) - sqrt(50)\/(sqrt(40)\/sqrt(4)))*1.\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 37773905?\nAnswer: 37773905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7 (b) 1\/2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170bb3 (base 13) to base 5.\nAnswer: -121320400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = 1101 + 1219. What is the tens digit of (-29)\/o + 1219\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:38 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10077 + 11413 = -307*c for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 13*n**3 + 880*n**2 + 204054*n.\nAnswer: 40*n**3 - 78*n + 1760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 987 - 574. What are the prime factors of r?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 1243492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/15))**30\/(j**(-4\/3)\/j**8))**(11\/2) assuming j is positive.\nAnswer: j**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32284477 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441000 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 13 + (-4 - -7). Solve -2*f = -4*o - p, -4*f - 5*o = -3 + 21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) - 9\/15. Let y = 2 - x. Solve -y*i + 3 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39903, -79784, -119665, -159546, -199427, -239308?\n\"Answer: -39881*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -4*h - 8*i - 6*i, -2*h + 5*i + i = 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -1\/2, -184, 3, 4211?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 37 = 7. What is the remainder when 67 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*t + 18, -209*t + 205*t = 3*g - 8. Let v(b) be the second derivative of 0*b**2 - 10*b - 1\/20*b**5 - 1\/4*b**g + 0*b**3 + 0. Factor v(o).\nAnswer: -o**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 413 + 117. Let n = -53 - y. Let r = -33 - -51. Calculate the remainder when n is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 783*f**3 + 310104*f**2 - 20760684*f.\nAnswer: -3*f*(f - 118)**2*(f + 497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 5:21 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -320 (b) 1 (c) -309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(15\/(-8))*(-6)\/4. Suppose -t*q + 32 + 0 = 0. Suppose 155*a - 153*a = q. Solve 0 = a*s - s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j. Let m(t) be the first derivative of 17\/3*t**3 + 0*t + 0*t**2 + 82. What is h(m(i))?\nAnswer: 153*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 60. Let h be c(9). Let s be (5 - 1) + (0 - 2). Suppose z - h*r = s*r - 6, -z = 4*r - 21. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*z + 101397, z - 419*l = -415*l + 33785. List the prime factors of z.\nAnswer: 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let q(w) = -w + 2. Let y be q(-1). Solve y + a = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 63 = 2*p + 58, 9 = -3*u + 4*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/24 - 13*u**2. Let x(n) = 5*n - 8. Let f be x(2). Let q(i) = -34*i**2 + 71*i**f - 28*i**2. Determine p(q(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -53*x + 1097. What is b(20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3675390 and 4040.\nAnswer: 14701560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 53 = 2*l + 3*l, a + 3*l = 23. Calculate the lowest common multiple of 37 and a.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12033.\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111435 by 35.\nAnswer: 22287\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 - 12*b + 17. Let f be d(-5). Solve -5 = f*i - i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/5)\/((-24)\/60). Let v(n) = -8*n**3 + n**2 + 1. What are the prime factors of v(p)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 31. Let r = w - 18. What is the third smallest value in r, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z - 25. Let p be k(-5). Calculate the highest common divisor of p and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 95 = -11*f. Suppose 0 = q - 9 - 21. What is the greatest common divisor of q and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/20 - 1) + 120\/(-425).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = u - 4*w, -2*w = 4*u - 5*w + 9. Solve u = p - 3*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116358940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h**2\/17 - 3528960*h\/17 - 172966092800\/17.\nAnswer: -2*(3*h + 294080)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 3. Let q be d(3). Let l(m) = 900 + 3*m - 3*m - m**3. Let r be l(q). What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/15*o**2 + 16\/15*o - 2\/15*o**3.\nAnswer: -2*o*(o - 2)*(o + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9373 (base 13) to base 7\nAnswer: 113254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346198057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -26*b + 33*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -89, -172, -305, -506, -793, -1184?\n\"Answer: -3*k**3 + 2*k**2 - 36*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1184259 and 14946.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 = 291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -91, 42, 22, 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-3)\/(-9)*-3. Solve 2*w = g*t + 6, -5*w - 30 = 4*t + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:25 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4\/5, -4\/3, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481916227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 k when four letters picked without replacement from {j: 3, t: 2, k: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/15 + 38*j**2 + j. Let w(y) = y + y - y + 0. Let n(q) = -v(q) + w(q). What is the second derivative of n(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-6*z**2 - 6*z**2 - 4*z**2)*(41*z**2 - 101*z**2 + 18*z**2).\nAnswer: 672*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 11. Calculate the common denominator of -45\/11 and (-5)\/a*21\/1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*y - 67, 4*h + y = -y - 170. Let s = h + 77. Suppose -2*f = 2*f - s. Solve 0 = -2*i - 1 + f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68592576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 + -5 - 6 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/(-24))\/((-2 - -4) + -5). What is the nearest to 0 in 0, k, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.56497mm to centimeters.\nAnswer: 9.556497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -171, -177, -175, -159, -123, -61, 33, 165?\n\"Answer: h**3 - 2*h**2 - 7*h - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18545?\nAnswer: 5, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, d: 2}. Give prob of sequence hhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7318 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -3*b + n = -4 - 3, c*n + 19 = 3*b. Differentiate 0 + 3*g - 2*g + 3 - b wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.04624t to kilograms.\nAnswer: 23046.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*k - 4*k. Let y = k - 25. Let n(v) = 2*v**3 + 5*v**2 + 4*v + 4. Let o be n(-3). Is o at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykupcuu. Give prob of picking 1 p and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2)\/(-5)*0. Suppose j = -0*q - 5*q - 5. Let o(t) = t**2 + 3*t - 2. Let w be o(-3). Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.122 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/174*24\/(-60))\/(2615\/870 - 3).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/24 - 37\/222) + (-1981)\/(-56)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3314387540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -2\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 323*f**2 - 253*f - 1047. Calculate x(-80).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - -5 - 0 - (20 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 209?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6443 - 6443.7659. What is f rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3 + 9*i**2\/2 + 6*i + 42. Factor a(t).\nAnswer: 3*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/249200 and 43\/445.\nAnswer: 249200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 12*t + 5. Let r be x(-10). Suppose 3*k + 20 = 4*y - 0*k, -5*y + r = 2*k. Solve 6 = m - y*d, -3*d + 3 = 2*m + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 - 4545*s**4 - 10*s**2 - 3048?\nAnswer: -120*s**2 - 109080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/(2\/(-6)). Suppose -p - 21 = y*p. Let u(w) = -2*w + 1. Let v be u(p). What is the greatest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*q - 24 + 4 = 0, -4*q + 6 = -5*w. Let f = 9 + -5. Find s, given that -f*s + s + 0*s**2 + 52 - 50 + s**w = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 13*z**2 + 16*z - 35. Calculate d(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 + 3. Suppose -y - 13 + 21 = 2*z, -y = -z + 1. Give t(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 875, 865, 841, 797, 727?\n\"Answer: -l**3 - l**2 + 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-180)*50\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10149246 and 40596984.\nAnswer: 40596984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 66*m**2 - m**2 - 19*m**2 + 5*m**2.\nAnswer: -87*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590517880.\nAnswer: 2, 5, 14762947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 3}. Give prob of sequence rrrk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3747098 minus -9107183?\nAnswer: 12854281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 3*g**2 - 11*g + 12. What is n(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1114*o - 44058 + 34729 = 46371 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = l - 0*r, -32 = -4*l - 3*r. Calculate the remainder when 2\/(-7) - (-312)\/14 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 371 + -170. Let k(f) = f + 410 - 210 - t + 158*f**2. Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2304, -2308, -2312, -2316, -2320, -2324?\nAnswer: -2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4 - 22*d + 24712*d**2 + 2 - 24714*d**2. Is 11 a factor of s(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 + -2 + 1)) + (-45 - -23).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 845\/3 - ((-20)\/15 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l - 54005 = -20809. What is the remainder when l is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose -j = -r*j. Suppose 3*i + 5*s + 2010010 = j, 2*i = 5*i - s + 2009998. What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*d - 32. Let h be 0\/1*3\/(-3). Solve k + h = d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*x = -15 - 23, 3*w - 122 = 2*x. Let j = 43 - w. Let r be (-32)\/(-36)*-3*j. Let g(v) = -v**2 - 9*v. Give g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -486, -883, -1378, -1971, -2662?\nAnswer: -3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -3*n - 3442 + 3549, 8*n + 5*j = 13*n - 105 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 3, r: 4}. What is prob of picking 2 r, 1 b, and 1 l?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = 5*v - 1, 0 = 2*d + 2*v - 2. Let j(g) = 27*g. Let z(l) be the third derivative of l**4\/6 + 8592*l**2. Give d*j(w) - 28*z(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095602 divided by -18?\nAnswer: -283089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2*z - 10848 - z + 10848.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6091.343l to millilitres.\nAnswer: 6091343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4 + 186464*f + 2753761 wrt f?\nAnswer: -4*f**3 + 186464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 574 - 871. Let c = 49 - f. List the prime factors of c.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + 11112?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -527 minus -3.6?\nAnswer: -523.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 53767194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45104726 to the power of 1\/2, to the nearest integer?\nAnswer: 6716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121 = 4*h - 5*f, -4*f = -h + 3*h + 528. Let j = h - -266. Let g(q) = q**2 + 9*q + 10. Determine g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 78 = -2*y, -3*y - 3*v + 32 = -2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*k**2 + 2434*k - 5060.\nAnswer: 2*(k - 2)*(24*k + 1265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13*g - 22. Let k(d) = 9155*d**2. What is b(k(x))?\nAnswer: -119015*x**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 15*l**2 + 36*l. Calculate h(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 465744.4 grams in micrograms?\nAnswer: 465744400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*u - 4 - 1, 4*v + 4*u = 40. Let b = v - 0. Suppose 84 = b*l - 3*l. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -2, 23, -4, 2 in increasing order.\nAnswer: -7, -4, -2, 2, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2196.82619 rounded to the nearest 10?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/5 - 7432*k**2\/5 - 22322*k\/5 + 29752\/5 = 0. What is k?\nAnswer: -4, 1, 3719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 15 = -3. Let m be -2*(-3 - -4)\/l. Let h(r) = 2*r**2 - 2. Let j be h(m). Solve 3*d - d - 2 = j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 - -1) + (-30 - -18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20*a**3 + 5*a**2 - a - 1. Determine t(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665954 to the power of 1\/2, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxkxixsx. Give prob of sequence ssk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 5, v: 2, f: 8, g: 3}. Give prob of picking 1 a and 1 b.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4.94. Let r = z + 1.45. Round r to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-127 - -104) + (-4 - -69).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 13698 (c) -3 (d) -7 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074.522193 rounded to 1 decimal place?\nAnswer: 3074.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) - (-434)\/(-620)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4 + 4 - 5*i**2. Let g(v) be the second derivative of -v**5\/120 + v**3\/6 - v. Let p(o) be the second derivative of g(o). Determine p(c(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-8)*(-4)\/(-12). Let m = -0.15 + -0.15. Which is the nearest to v? (a) 0.4 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/((sqrt(8)*3)\/sqrt(2)))\/((3*sqrt(336))\/sqrt(7)))**2.\nAnswer: 7\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13818 and 17934.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31258?\nAnswer: 2, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -10. Let x be ((c - -1) + -3)\/1. List the prime factors of 19 + (-2 + x - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myyw when four letters picked without replacement from yywmyyywywywymywyw?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1859\/7 + 265. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b - 8*b + 33*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1, -1942*u + 3*i = -1940*u - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g - 9. Let i(d) = 4*d**2 + 288*d + 590. Let s(k) = -2*h(k) - i(k). Determine t, given that s(t) = 0.\nAnswer: -143, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/2)\/(-7))\/(2\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*l = -3*l - 1, 0 = -u + 2*l - 8. Let o = u + 11. Find the second derivative of -2*p**o - 3*p - 3*p + 5*p wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -5*t**2 + 0 - 5*t + 1\/6*t**3. Let a be s(12). Solve -g - 11 = -3*v, a*v - 13 + 3 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fknxtke. Give prob of picking 2 k and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194 and 9.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 8*f + 16. What is w(12)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**7\/60 + x**6\/20 + 113*x**5\/30 + 26*x**4 + 80*x**3\/3 + 608*x**2. What is i in d(i) = 0?\nAnswer: -4, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 1 - 1)*(-2*y - 3*y + 1 + 7*y) as b*y**2 + k + p*y and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6475328.\nAnswer: 2, 23, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 8522352.\nAnswer: 264192912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 7}. What is prob of sequence dqqq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/2 + 8547*s\/2 - 4275 = 0. What is s?\nAnswer: -2850, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-14))\/(16\/(-28)). Put u, 2, -1, 2\/7 in increasing order.\nAnswer: -1, u, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n. Suppose -l - 1 = 2*j, -3*j = 3*l - 4*j + 3. Let x be q(l). Let p = x + 22. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182217 = 1557*x - 1669*x + 133287. What are the prime factors of x?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 48 = 3*l + 5*w, -2*l - w = -30. Suppose 3*r - 54 - 132 = -5*y, 2*r - 5*y - 149 = 0. Calculate the remainder when r is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**2 + g**2 + 0*g**2 + 6*g**2 - 4*g**2 - 3*g**2 + (g - g + g)*(4*g + 0*g - 6*g) + 0*g + g**2 + 0*g - g**2 + g**2 + 3*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 2*g + 53 - g - g.\nAnswer: 2*g + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5*d - 10. Suppose -8*h - 39 = 1. Let w be p(h). Let k = 21 - w. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 67.0333 hours?\nAnswer: 241319880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7221091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6847.65 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519 + 935 = -13*y + 156 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -668132*n*p**2 - n*p + 3*n + p**3 + 3*p + 10703 wrt p.\nAnswer: -1336264*n + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19497\/10 + -1953. What is the common denominator of -35\/9 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251.396 - 252. Let s = -41 - -40.904. Let m = s + l. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 858 divide 31753722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uommmuoooooo. What is prob of sequence oomm?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 29*f**2 + 1 + 44*f**2 as p*f + k + i*f**2 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q**(-6)*(q**(-2\/5))**19*(q**3*q*q**(-2\/11))**(-8\/5) assuming q is positive.\nAnswer: q**(-1029\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.7052 days in minutes?\nAnswer: 1046455.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -1029244864.35.\nAnswer: -1029244868.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1676.64 minus 1149?\nAnswer: -2825.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 18 + 19)*(83*r + 45*r**2 - 83*r).\nAnswer: -135*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135747043 or -135747044?\nAnswer: -135747044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Let g(q) = q**2 - 8*q - 11. Let y be g(10). What is the highest common factor of y and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 68. Suppose 13 - 38 = -5*r. Suppose -4 = -r*s + n. Solve 0 = -s*o + 3*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 - 11 = -5*i. Let o = i - 2. Let c = o - 40. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795326 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -48. Suppose -1183*d + 1190*d = 35. Which is the nearest to 1? (a) 4 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3878 - 26552 = -29*t. Calculate the remainder when t is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7. Let h(p) = p**3 + 5*p**2 - p + 5. Does 10 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 1696*r + 179776.\nAnswer: 4*(r - 212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 544817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 416 - 416.574. Let f = 0.64 + u. What is f rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i - 3*k, -28 = 4*i - 2*k - 2*k. Let z be ((-15)\/i)\/((-1)\/(-2)). Suppose -4*c = z*w - 41, -5*w + 39 = 4*c - 0*w. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10725459 - 11124541. What is s rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6924529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 29*c**2 - 253*c + 92. Let g be w(36). What is the greatest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**1)\/h)\/(h**(-3)*h))\/(((h\/(h*h**(2\/9)))\/h)\/(h\/(h**(-4)*h)))*(h**3*h*h*h**(-11))**(-18) assuming h is positive.\nAnswer: h**(1055\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -13. Let w = 19 - 31. Calculate the least common multiple of n and 8\/(-3)*90\/w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/3 + 0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/((-1)\/6*64\/(52992\/(-54)))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001111011001111 (base 2) in base 14?\nAnswer: -8a411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from bbgkwgxf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142015 (base 6) to base 12.\nAnswer: 790b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 170 = -5*d - 5*w, 5*w = -2*d + 80. Suppose -110 + 20 = -d*f. Solve -3 = -3*h - 0*c + f*c, -2*c = 4*h + 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698387 is divided by 2839.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = 4*j, 3*b - 36 = -6*j + 2*j. Suppose -s - 3*s = 8. What is the least common multiple of (11\/s)\/(2\/(-4)) and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8690 and 172150?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 164\/(-28) - 11\/(-77). Solve -q - 23 = -w*v, 0*q + 2*v = 5*q + 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(6\/11))\/r)\/(r*r**(2\/101)*r) assuming r is positive.\nAnswer: r**(-2850\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, -232, -4, -31, -0.4, -3, 2\/5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174298 is divided by 28897.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4529, 4523, 4517?\nAnswer: 4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1872, 4013, 6180, 8385, 10640, 12957, 15348, 17825?\nAnswer: 20400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 + 9*p**2 + 2. Let j(k) = 17*k**3 + 37*k**2 + 8. Give 2*j(x) - 9*l(x).\nAnswer: -2*x**3 - 7*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 13 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 45.4\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let s be 2\/4 + 287\/14. Let g = s + -5. Solve b = 4*u - g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29413 - 2*a - 776*a - 950*a + 29413)*(-11 - 7 - 4)*(0 - 2 + 4).\nAnswer: 76032*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118868875 or -118868874?\nAnswer: -118868875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2295*f - 606*f - 605*f - 573*f - 513*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h + 3*h + 2 - 2*h. Let k be b(-7). Let o be (5\/2)\/((25\/30)\/5). Solve l = 2*p + k*l - o, -l + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2432643 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 13. Let q(u) = -4*u + 10*u + 27 + 5*u. Let m(d) = -13*l(d) - 6*q(d). Let w be m(9). Which is greater: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:51 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 81, 3, 1, -12 in decreasing order.\nAnswer: 81, 6, 5, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 597844782 a multiple of 3727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egc when three letters picked without replacement from {g: 2, v: 1, e: 1, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - ((-166)\/(-249) + 16\/(-5))?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 29. Let m = -33 + l. Let n = 0.5 + 0.5. Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 9.7 (c) -0.5 (d) 1\/7 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**4 + 2*w - 4*w + 3*w**4 + (3*w + 0*w - 4*w)*(3*w**3 - 3*w**3 + 2*w**3) + 3*w**4 - 5*w**4 + 3*w**4.\nAnswer: 12*w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/6, -14, -0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*x**3 + x**2 - 133624*x + 1237143 with respect to x.\nAnswer: -18*x**2 + 2*x - 133624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 11. Let v(z) be the first derivative of z**3\/3 + z**2\/2 - 2*z + 6. Let m be v(3). What is the tens digit of u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from zzvzvvvvvzv?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + u**2 + 2*u**2 + (2*u**2 + 2*u - 2*u)*(1225 - 426 - 261).\nAnswer: 1074*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 10508286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -205 + 183. Which is bigger: x or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 0*i**2 - 2*i**3 + (4 - 2*i**3 - 4)*(0 - 4 + 2) + 1113*i**3 + 1149*i**3 - 2344*i**3 - 2*i**3 + 2 - 2 to c*i**2 + a*i + o*i**3 + f and give o.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -14454.3 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 4*o, -z = -2*z + 2*o. Suppose 3*q + 0 + 3 = 0, -k + 5*q + 7 = 0. What is the third derivative of -i**3 + i**3 - k*i**4 + z*i**2 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opzosgosszzzoszouoo. Give prob of picking 1 z and 3 s.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42480.218 minus -32?\nAnswer: 42512.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {y: 2, o: 1, i: 2, a: 4, t: 2, s: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqcwssqwqss. Give prob of sequence qwq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*u + 4*f, -4*u + 5*f = -0*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18 (b) 14 (c) -0.3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 8*q**2 + 8*q - 4. Let d be s(7). Suppose 0 = 57*b - 86 - 199. Solve d*g + b = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/35 - 174\/(-21). Suppose v - 4*n = -n - 10, -2*n = -l. Let m(k) = k - 2*k + 3*k + v*k. Let d(u) = -2*u. Calculate m(d(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (123\/(-12))\/((-8)\/(-13 + 1101)).\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2440 and 111325.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884959 divided by 7?\nAnswer: -1884959\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {i: 1, v: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 36271461*i**2. Let y(k) = -7*k. Give t(y(f)).\nAnswer: 1777301589*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 4*l**2 + 4. Let r be k(4). Let j be 1\/(-4) - (-13)\/r. Suppose 2*m = j*m - 5*q - 9, 2*m + 4*q - 18 = 0. Solve -25 = 4*x - m*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -23330?\nAnswer: -23342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -113?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:06 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -17. Let v = 9 - f. Suppose -v*x - 2 = -14*x. What is the second smallest value in x, 5, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 6440?\nAnswer: -6437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 110*h**3 + 285*h**2 + 7040*h - 38720 = 0. Calculate h.\nAnswer: -8, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12685589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k - 2. Let i be u(-1). Suppose -g - 5*j + 4 + 3 = 0, 5*j = g + i. Let l(q) = -q - 1. Let f(z) = 4*z - 8*z - 1 - 4. What is g*l(v) + f(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/2*-2 + (-47980)\/5. What is m rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992308.\nAnswer: 2, 31, 16067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6510)\/(-2480))\/(7\/(-4))*(-88)\/6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1325, 1337, 1367, 1421, 1505, 1625, 1787?\nAnswer: 1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*d + 2*s, 0 = 2*d - d + 5*s - 12. Let q be 8\/d*18\/(-3). What is the highest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 5*j - 2. Let a be c(-3). Let q be (-97)\/(-3) + (-1)\/3. Suppose -5*y + 23 + q = 0. Solve -b = 4*n - 2*n + y, n + 5*b = -a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 1 (c) 216 (d) 31 (e) 2 (f) -13 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -593425, -593418, -593411?\n\"Answer: 7*k - 593432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 + -35. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/(-2))*-5*308\/(-2695).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15184008 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -13\/500684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120106699 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: In base 4, what is 1113000 - 2?\nAnswer: 1112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0272183 rounded to three decimal places?\nAnswer: -11.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17390067 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 14, q: 5}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482132 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 31*f**2 + 269*f\/3 - 10 = 0.\nAnswer: -3, 10\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 21. Determine j(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29497813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 + -2 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -933663961.626\nAnswer: -933663939.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -106. Suppose -v - t = -41, -v = 2*t + d*t - 61. What is the smallest common multiple of v and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41177902 and 2?\nAnswer: 41177902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/14)\/((-38)\/(-1596)). Solve m = -5*i - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 0*(2 + -3). Let b(i) be the first derivative of i**3\/3 + 17*i + 4. Let x be b(0). Solve k*y + 3*y = -3*w + 17, -x = -4*w - y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*i - 2*f - 28, -4*i = 5*i - 10*i + 3*f + 52 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Let p(q) = -8*q - 7. Let v(f) = 8 - 22 + 15 - 2 - f. What is u*p(c) + 28*v(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*u - 2*u. Suppose -8*o + 3*o + u = 0. Let c be 0*(-5 - (-5 + (-4)\/8)). Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2540 and 393446?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjrjnnjrjjj. What is prob of picking 3 j?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34.23*-5005\nAnswer: 171321.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24985 times 0.5\nAnswer: -12492.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-31)\/15)\/((-11)\/132).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/(j**(-6)*j*j)*(j**(-1\/11)\/j)\/((j*j**6)\/j))\/((j\/(j*j**(-2)))**(-1\/2))**2 assuming j is positive.\nAnswer: j**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -650907613 - -0.014\nAnswer: -650907612.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*z**2 - 9*z**2 - 13*z**2)*(-3 + 3 - z) + 5*z - 9*z + 2*z - 10*z**3.\nAnswer: 112*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52605*c - 52587*c = -216 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 26, 79, 184, 359, 622, 991, 1484?\n\"Answer: 3*x**3 - x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -138, -203, -266, -327?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 581\/(-49)*-35*((-18)\/(-15))\/6.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + -7 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f - 4*f - 7*f**2 + f + 2*f**2.\nAnswer: -5*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2146.62 + -2119. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3796 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 396525293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 2381.89\nAnswer: 40492.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-15))\/(51\/(-85))*-39. What is the highest common divisor of y and 58318?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(396) + (2*sqrt(396) - sqrt(396)))*-4) + (((sqrt(396) + 2)*4)**2 - (4 + sqrt(396)*3 + sqrt(396))).\nAnswer: 504*sqrt(11) + 6408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(3*sqrt(20)\/sqrt(4)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 122?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v + 15. Let o(z) = 6*z - 6. Let n be o(2). Let q be y(n). Suppose 7*s + 1262 = q*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -19.11. Let y = 16 - v. Let o = -3 + 4. What is the biggest value in y, o, 4\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -433145.61 and -4?\nAnswer: 433141.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 1394 - 18*j - 1473 + (1 - 3 + 0)*(2*j - 2 + 2).\nAnswer: -20*j - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 380*k**5 - 3*k**3 - 5*k**2 - k - 722?\nAnswer: 22800*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 8*p**5 + 10*p**5 + 3*p**5 + 2*p**5 - 2*p**5 + 2*p**5 + 0*p**4 + 0*p**4 + (-3*p + 2*p**4 + 3*p)*(3*p + 2*p - 3*p) + p**5 - p**5 - p**5.\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10886300.\nAnswer: 2, 5, 108863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76794 is divided by 198?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**3 - 16*b**2 - 21*b + 6*b**3 - 10*b**2 + 41 - 4*b**3. Let x be r(-12). Solve 5*v = 5, -3*n - x*v = -11 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 2*f + 4*f)*(10274 - 26464 + 12381) in the form b*f + y and give b.\nAnswer: -7618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 11*m - 158. List the prime factors of y(-33).\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -179\/200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 16 (c) 5 (d) 3\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by 34?\nAnswer: 164\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Suppose 0 = -4*p - 2*s + 88, -4*s = -p - i*p + 112. Calculate the remainder when 69 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.3, 0, -5 in descending order.\nAnswer: 1.3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 + 5*l - 5*l - 19*l + 19*l + 18*l**2 + (-l - 3*l + 3*l)*(4*l - l + 5*l).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 2}. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.248 * -0.9\nAnswer: 0.2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 2*h)*(-5*h + 5*h - 2*h) + 2*h**2 + 0 + 0 + h**2 + 2*h - 2*h + 4*h**2 + 8*h**2 - 4*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 481 or 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1 + (-1 - 1 + 3)*(-5 + 2 - 1))*(-11 + 20 + 18)*(4*q - q - 2*q).\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 39 = 11. Let s = 72 + -53. What is the remainder when s is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 473953 divided by -1\nAnswer: -473953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c + 168. Let s be m(16). Let k(y) = -5*y**3 + 2*y**2 - 2*y - 11. Let n(d) = -4*d**3 + 3*d**2 - 2*d - 10. Let g(r) = 5*k(r) - 6*n(r). Give g(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22635994?\nAnswer: 2, 11317997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.4334 + -33.4. Let b = n + 0.9666. What is the nearest to -0.099 in b, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 2. Let r(c) = -c + 7. Let d be r(-5). Suppose 80 = -d*n + 16*n. Let o be (n\/16)\/((-5)\/(-20)). What is f(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 2\/17 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y)\/y*y*y\/(y*y\/y**1)*y**(-1)\/y**(-3\/7))\/((y*y**(8\/5))\/y**2)**(-28) assuming y is positive.\nAnswer: y**(393\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let m(y) = 3498*y. Calculate h(m(n)).\nAnswer: 3498*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 13446*j - 6260*j - 7188*j + 21.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1))\/((-7)\/(-7)). Let r(d) = 3*d**2 + 2*d - 1. Let o be r(z). Suppose 0 = 3*l + i - o*i - 117, -3*l + 5*i = -117. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 18*l**2 + 43*l - 15. Let v be f(20). What is the greatest common divisor of 360 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 20*i - 6. Give z(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(8\/((-120)\/9))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -684\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1331) + (sqrt(1331)*2 - sqrt(1331) - sqrt(1331)))**2.\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000806 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 53505.73 centimeters?\nAnswer: 0.5350573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:28 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6513 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27843188 divided by -43\nAnswer: 647516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*g\/g**(1\/4))\/g)**(1\/52)*(g**(-7\/2)\/g*g)\/(g**(2\/15)\/g) assuming g is positive.\nAnswer: g**(-8051\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 2.7963?\nAnswer: 2.7963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 18578?\nAnswer: 18587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 378821304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from nkfkkkffkffnfkkfnk.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 8}. What is prob of picking 1 b and 1 z?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + 24\/(-9). Let u = -0.32 + 0.12. Is y != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 12. Let w(j) be the third derivative of j**4\/4 + 103*j**3\/6 - 16*j**2 - 2*j. Let n be w(-17). Solve -2*g + f = n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(6)*6 + (sqrt(19) - sqrt(684))*1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*o. What is the third derivative of -4*g**4 - 4*g**o + 7*g**2 + 8*g**4 wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414580 divided by -380\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70043629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8999, -9007, -9019, -9035?\nAnswer: -9055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387 - -572. Suppose -4*s - 2*m + 1 = -53, -2*m = s - 12. Calculate the remainder when (o\/20)\/((-2)\/(-8)) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1843150508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2210850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2024)\/15330 - 0\/(-2). Let x = 2\/1533 - r. Let o be (-2)\/4 + (1950\/108)\/25. Sort o, x, -5 in descending order.\nAnswer: o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84780 rounded to the nearest 1000?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17791, 17815, 17841, 17869?\nAnswer: 17899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181 and 0.0983.\nAnswer: 17.7923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4*a - 4)*(-2*a**2 + a - a) in the form n*a**2 + i*a + f + q*a**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 12*b**2 - 12*b + 16. Let g be c(-7). Suppose 4*w - 6 = g*x, 0 + 2 = 3*w - 4*x. Which is greater: w or 0.057?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554988229?\nAnswer: 23, 43, 561161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*h**3 - 2*h**3 - 2*h**3 + (-5*h + 5*h - h)*(2*h**2 - h**2 - 3*h**2).\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1479774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -138679, -277353, -416021, -554683, -693339, -831989?\n\"Answer: 3*a**2 - 138683*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1.57. Let p = -0.33 - i. Let x = 0.3 + -0.1. What is the biggest value in p, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 132. Let z = s - 46. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 + 91*a**2 + 94*a - 1691. Calculate t(23).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 13 = -2*x, -6*f = -f + 5 + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*z + 44050, -10*z + 44052 = -4*s - 8*z. Let c = s - -26109. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870158 is divided by 143856?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhh when three letters picked without replacement from zohjzjzzhjzzjffz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -10\/11, -2, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -3. Let v = 4 + b. What is the closest to v in 1\/2, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-11) - 7*(-64)\/(-44). Let b be 6\/x*1*(-25)\/(-5). Suppose -r = 3*h - 10, -r - 15 = -h - 5. Sort h, -1, b in descending order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 5*h**2 + h - 5. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 e, and 1 o when three letters picked without replacement from ozqzzoeoezmoqoqo.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 130817830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -3378*5\/(-65). Let l = 262 + u. What is the closest to 1\/3 in 0.05, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 227\/210*a**7 + 0 + a**2 + 0*a**3 + 62*a + 1\/3*a**5 + 0*a**6 + 1\/24*a**4. What is the third derivative of h(o) wrt o?\nAnswer: 5448*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(10)\/sqrt(5)*5)**2 + 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2, -3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10764 = -66*i + 197*i + 337*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 218\/327*(-6)\/32.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 6*s - 12*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -767*r. Let m(b) = -2*b - 48. Determine u(m(g)).\nAnswer: 1534*g + 36816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13*d**2 - 10*d - 13. Let b(m) = -45*m**2 + 31*m + 37. Let o(s) = -2*b(s) - 7*u(s). What is o(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 6*p\/5 + 9\/5.\nAnswer: (p - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7536*c**4 - 2*c**2 + 6680*c - 1 wrt c?\nAnswer: -180864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 0*y + 8*y - 8*y - 389 + 389.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6456*t - 2 - 2 - t**2 + 11529*t - 5073*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -14*a**3 + 88*a**2 + 74*a - 28 = 0.\nAnswer: -1, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305946 divided by 3.\nAnswer: -101982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + -1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88726 is divided by 17646?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -400039*r. Let z(d) = 235*d + 1. Determine l(z(y)).\nAnswer: -94009165*y - 400039","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 5:08 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a = 85*a - 176*a - 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118758673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486658410 and 2590.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c - 5000 = 0. Round c to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13555 divided by -4\nAnswer: -13555\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638573603 to the nearest integer?\nAnswer: 25270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 34. Let i be 33\/22*(-130)\/3. Let r = 100 + i. What is the remainder when r is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = -3*d + 47, 5*f - 4*d - 51 = 0. Let g = -26 - -39. Solve 18 = -5*b + m - f, -b - g = -2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173872 divided by -26\nAnswer: -86936\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/60 + w**4\/24 + w**2 + 281. Suppose -2*s - 2 = 2. Let x(h) = -h**3 + 9*h**2 + 10*h + 1. What is s*x(g) + 18*o(g)?\nAnswer: 2*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w)*(-3 + 8 + 6)*(-17 + 14*w - 29 - 11*w).\nAnswer: 66*w**2 - 1012*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpvvvpppppvp. What is prob of picking 2 p?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 693390 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -6 - (9260 - 9278)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3327 * -1.7.\nAnswer: -5655.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6220350 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5046, 5047, 5058, 5085, 5134, 5211, 5322, 5473?\nAnswer: 5670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.9. Let n = i - 0.1. Let u = n + -0.4. What is the second biggest value in -1\/3, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 50*t**2 + 44*t**2 + 42*t**2 + (-31 - 1 + 4)*(0*t**2 + 3*t**2 - t**2).\nAnswer: 80*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.15, -3 in decreasing order.\nAnswer: -0.1, -0.15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/4 + 4*b**3\/3 + 4*b**2 + 9*b - 6. Is w(-4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 271, 407, 543?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50275, -100538, -150787, -201016, -251219, -301390, -351523, -401612?\n\"Answer: g**3 + g**2 - 50273*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 5. Let w be z(-10). Let p = w - -4. Is p bigger than -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475818?\nAnswer: 2, 23, 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464040 - -5?\nAnswer: -464032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/12)\/(24\/72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - 1.6. Which is the second smallest value? (a) p (b) -2 (c) 0.093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let x be (-4)\/8 - p\/(-6). What is the nearest to -2\/7 in 1, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7758 (base 11) to base 5.\nAnswer: -311402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {b: 2, o: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.09 + -0.09. Let m = q - 9. What is the biggest value in -5, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1238562056 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 5*f**3 + f**3)*(3*f - 2*f - 2*f)*(66*f - 761 - 964 - 68*f).\nAnswer: 2*f**5 + 1725*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(22) - (-1*sqrt(88))\/sqrt(4))\/(sqrt(14)\/sqrt(112)))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**6\/90 - k**4\/12 + k**3\/6 - 4*k. Let n(l) be the second derivative of w(l). What is the first derivative of n(t) wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 245*a**4\/3 - 1405*a**3\/3 - 266*a. What is the second derivative of s(u) wrt u?\nAnswer: 1960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/46 - (-11)\/6. Is 2 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 155 + 8*n - 280 - n**2.\nAnswer: -n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.2 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25991*f + 1312150 + 848045 + 709267 = -327431 for f.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11124105 (base 6) to base 15.\nAnswer: 6a195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*z + 13, 5*y - 2*z = 2*y + 4. What is the second derivative of c + c - 12*c**3 - y*c - 10*c wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -166, 5, -4, -313, 3 in increasing order.\nAnswer: -313, -166, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2576*h + 82458. Give o(32).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1431, -2861, -4291, -5721, -7151, -8581?\n\"Answer: -1430*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 154066 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f**2 - 52*f**4 + 4*f**2 + 3022*f + 3099532 - 3099532 wrt f?\nAnswer: -624*f**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**2 - 3*o - 1. What is i(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 3*c**3 + c**2\/2 - 2. Let m(t) = -t**3 + 9*t**2 - t + 8. Let i be m(9). Give a(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 396\/41 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735158 and 3878.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200980?\nAnswer: 2, 5, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 6. Give v(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1718.\nAnswer: 171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r. Let f(p) = 1009526*p. What is l(f(s))?\nAnswer: 10095260*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1481 = 3*m, -3940 = -3*j - 3*m + 527. List the prime factors of j.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1509\/4*m**2 - 3888 + 13500*m + 21\/8*m**3.\nAnswer: 3*(m + 72)**2*(7*m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 4*h + 5, -4*o = -5*h + 2. Let q(y) = y**2 - y - 4. Determine q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.01 + 0.01. Is y at most as big as 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 628. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.8 - 6.8. Let d = -13005\/22 + 591. Which is the nearest to -1? (a) d (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3 - 43*g + 41*g + 3. Let i(s) = -3*s**2. Determine i(k(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + i)*(0*i - 2*i + 5*i + 3 - 3 - 2*i - 2*i + 2 - 2 + (-2*i + 0 + 0)*(-1 + 0 - 1) + 3*i + 3*i - 4*i) + (-3 + 3 - i)*(3*i - 3*i - i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5ab121a1 - 1?\nAnswer: 5ab121a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 6*j + 3*j)*(-j - j + 0*j)*(-53747 - 563*j + 53747 + (2 - 6 + 2)*(-j + 3*j - 5*j) - j - 2*j + 5*j).\nAnswer: -2220*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4486 + 4547. What is the remainder when 1339 is divided by g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of ((-1050)\/840 - -6*(-14)\/(-16)) + 18976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*k - 433*k + 219*k - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5253 + 40012?\nAnswer: 30315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.051 + 0.051. Let f = 12 + -13.4. Let v = c - f. What is the second biggest value in 1, v, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364 - 2 + 64 - 677*p**2 + 197 - 9 wrt p.\nAnswer: -1354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15793 by 5.\nAnswer: -15793\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**7\/21 + 511*f**6\/30 + f**5\/20 - 497*f**4\/4 + f + 315. Find the third derivative of w(p) wrt p.\nAnswer: 120*p**2 + 12264*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252988713 to the nearest integer?\nAnswer: 15906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4*t**3\/3 + 3*t**2\/2 + 2*t + 16. Let a be u(-1). Factor 2*w**a - w**3 - w**4 - w**4 + 2 + 3*w**3 - 4*w.\nAnswer: -2*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 1, -0.3, -4, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*v**2 + 1929*v**3 + 9 + 25 - 1927*v**3 + 93*v**2 wrt v.\nAnswer: 6*v**2 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**6 + 1624*n**4 + 8*n**2 - n - 359*n**4 + 95*n**4 - 6*n**6 wrt n?\nAnswer: -120*n**3 + 32640*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-6))\/((9\/(-54))\/(-1)). Let l(k) = 4*k - 3. Let o be l(2). Solve 0*t - o*t = a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.252988 to three dps.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*m**4 - 2*m - 18278*m**2 - 18270*m**2 + 10*m**3 - 1 + 36547*m**2 in the form w*m**2 + f + z*m + r*m**4 + g*m**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 8*n**2 + n + 9. Let h be u(8). Suppose 15*g - h*g = -6. Suppose g*o = -6 - 96. Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4394, 2, -2\/5, -16 in descending order.\nAnswer: 4394, 2, -2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3800885\/825729 - 4\/7439. Let h = -17\/74 + c. Find the common denominator of (714\/40)\/(16 - 19) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 902 + -881. Solve a*p = 10*p - 33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 6. Let n(p) = 748*p - 2112. What is -5*n(b) - 1760*z(b)?\nAnswer: -220*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-8))\/((-432)\/1152)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5599.2 - -5599. What is the nearest to j in -0.2, 1\/66, -3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-1\/2)*u**(3\/4)*u\/u**4 assuming u is positive.\nAnswer: u**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/45)*g**(-40)*g)\/((g**41\/g)\/(g*g**(11\/5)*g)))**(-3\/31) assuming g is positive.\nAnswer: g**(3367\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 0 + (-28)\/(-4). Let t(l) = 11*l + 403. Is t(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let w(v) = -2*v + 11. Calculate w(s) + 2*y(s).\nAnswer: -6*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5520\/7589?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 262695956459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*t + 353*t - 161*t - 1065. What is the remainder when 670 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from wnwcnbnnvc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2826 = 4*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-387)\/(-33) - 516\/43.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*k**2 - 174845*k + 174925 = 0. Calculate k.\nAnswer: -34985\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 74\/(-37) + 4\/6. Which is the closest to x? (a) -0.5 (b) -1 (c) -3 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + sqrt(432) + -1*sqrt(432))\/sqrt(12))\/sqrt(2)*1*-2.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000335 rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*h - 868 = 2015 - 216 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*k + 26 = 0, 19*k + 10 = 3*u + 23*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let s(i) = -i + g - 1. Let l(p) = -p**2 + 9*p - 3. Let u be l(9). What is s(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 173 - 18*y - 173.\nAnswer: 2*y*(y - 3)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44540813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + (56 + 13 - 26)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154043180 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*r - 9*r + 7*r)*(8*r - 2*r + 0*r)*(2 + 6 - 4).\nAnswer: -984*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4435\/618 - 1\/103. Let u = 359331\/22 - 16336. Find the common denominator of u and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53969.21994 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99336499513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109395256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.08 + 1. Let v = h + -3.92. Let q = v + 3. What is the closest to 2 in q, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/65 - 4\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18)\/k)\/k*k*k*k*k\/(k*(k\/(k**(-20)*k))\/k))\/((k**(-18)\/k*k*k)\/k**(4\/3)) assuming k is positive.\nAnswer: k**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/20 + h**4\/24 + 10*h**2. Calculate the smallest common multiple of v(1) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 8*o + 12. Suppose 4*v = 16 + o. Suppose 2*g + 5*i = 3, 0 - 2 = -2*i. Sort 1, g, v in increasing order.\nAnswer: g, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 115416131?\nAnswer: 115416124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.29881297 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 6860*s**2 - 2937792*s - 2944656.\nAnswer: -4*(s - 858)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t - 13. Let f = -9 + 9. Suppose -y + 2*o + t = f, 2*y = 3*y + 5*o + 16. What is the highest common divisor of 27 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3365?\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*a**3 - 41572705*a**2 + 9601607696055*a + 1066845812805 = 0. What is a?\nAnswer: -1\/9, 461919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19288789 - -7.\nAnswer: -19288782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 209 = 54*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6021 - 6008 - 3045*y**2 + 12029 - 3834*y**6 wrt y?\nAnswer: -460080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/57 and -7\/627.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*o - 413 + 1205. Solve 2*w + o - 28 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*d**3 - 313*d**2 + 19*d**3 + 313*d**2 + 34*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -40351?\nAnswer: -40351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8055 - -8. Let f = r - 0.2. Round f to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from xtape?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebee when four letters picked without replacement from {w: 1, e: 5, b: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.62, 0.05, 5 in decreasing order.\nAnswer: 5, 0.05, -0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(7 - -6) + (-20)\/(-4) - -43.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31190.63696 rounded to the nearest 100?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - z**2 + 3*z**2)*(2*z**2 - 8*z**2 + z**2) + (-4*z**3 + 0*z**3 + 2*z**3)*(-5*z - z + 4*z) - 4*z**4 - 12*z**4 + 32*z**4.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.05741 (b) 0.01 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {y: 1, u: 14, e: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 2*g - 324 = 0. Calculate the least common multiple of 7 and g.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-44))\/(12\/80)*75768\/9020?\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/8 and 145*((-28)\/(-90))\/(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -65, -67, -69, -71?\n\"Answer: -2*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2. Let t(c) = c**2 + 4330 - 11313 + 5678. Calculate t(a(s)).\nAnswer: s**4 - 1305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*o + 43 + 36, 0 = -2*o - 4*z - 82. Let p be 2\/((-8)\/314*-2). Let k = o + p. Sort 2\/7, k, -4 in ascending order.\nAnswer: -4, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -1.3. Let t = -1 - -1.4. Let f(p) = p**3 - 12*p**2 + 12*p - 13. Let h be f(11). Which is the closest to h? (a) k (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387627039 to the power of 1\/2, to the nearest integer?\nAnswer: 19688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 6)*3\/(-24). Let u = 2518.5 - 2519. What is the closest to -3 in z, u, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.52 + 8.62. Which is the nearest to 3\/10? (a) -1\/4 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**4 + 32*v**3 - 300*v**2 + 488*v - 224 = 0.\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.8 + 11. Let u = 21 + -12. Let z be (5 - 4) + u\/(-11). Which is the second biggest value? (a) 2\/5 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1045111.3 to the nearest one thousand.\nAnswer: 1045000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51458)\/(-1224) + 36\/162. Let v = -701\/17 + w. What is the common denominator of 35\/18 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = -0*c. Let f(z) = z**3 - 6*z**2 - 4*z - 8. Is f(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -130. Let w = -73.9 - l. Is w at most as big as -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32651287141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.033 and 1384384.\nAnswer: -45684.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*o + 108*o + 302*o - 1464*o + 254*o.\nAnswer: -558*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -42, -1\/13713, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 278*i**4 + 3*i**3 - i**2 - 6*i - 2. Let t(p) = 277*p**4 + 2*p**3 - 4*p - 3. Let y(v) = 2*o(v) - 3*t(v). Find the third derivative of y(d) wrt d.\nAnswer: -6600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -12?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02014, 2, 3\/13, -0.4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -4\/9, 64897, 5, -4\/3, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**3 + 3*y**2 - 18*y + 7. Is 55 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f + 25. Let b = 0 - -4. What is the third derivative of f*t**b + 4*t**4 + 3*t**2 - 5*t**4 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 10*s + 438. Let l be 26 + 0 - 4 - -1. Factor 151*i**2 + 30 - l*i - s*i**2 - 12*i + 0*i.\nAnswer: 5*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-96))\/(4*2\/120).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 + 4*t + 12. Let h be c(-5). Let m = h + 65\/2. What is the third biggest value in -5\/4, 2\/7, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - (58 + -77)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 17*b = -6, w - b = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232034873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873.514m in kilometers?\nAnswer: 4.873514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**4 + 4676723*x**3 - 10997*x**2 + 8358*x.\nAnswer: -96*x + 28060338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 47, 2, -2, 5 in increasing order.\nAnswer: -4, -2, 2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 143423.\nAnswer: 143396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 9358*h**2 + 24*h + 2. Let j(a) = a**2 - 9*a + 6. Let f be j(5). Let b be l(f). What is b rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 5*c - 9, 0 = -a + 4144*c - 4142*c - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -54, -57, -60, -63, -66?\n\"Answer: -3*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*k**3 + 3*k**3 + 2*k**2 - 10*k**3 + 49*k**3 + 5*k**3.\nAnswer: 171*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 81. Suppose 34 - g = -6*h. What is the third smallest value in h, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 4*i + 37. Suppose 5*u - 3*q = 42, -i = -0*u - 3*u - q. Solve 6*y - 5*k = 3*y - 11, k - u = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1491 - 871. Let w = j - 351. Suppose -5*g - 34 = -w. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3345864, -6691732, -10037600, -13383468, -16729336, -20075204?\n\"Answer: -3345868*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 1, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34696, -69423, -104160, -138913, -173688, -208491?\n\"Answer: -q**3 + q**2 - 34723*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 6. Let x be f(-5). Let y = x - -13. Let o(t) = y*t + 2*t**2 + 2 + 4*t - t**2. Determine o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*h - 247, -17*h - l + 158 = -15*h. Let k = h - 69. Calculate the lowest common multiple of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, n: 5}. Give prob of sequence nqqn.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-2)\/3 + 781\/1491).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-1 + (-8 - -5) - (11 - 12)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 624*p**3 + 62*p**2 + 7*p - 176. Let z(v) = 2495*v**3 + 279*v**2 + 29*v - 703. Let i(q) = 9*u(q) - 2*z(q). Find the second derivative of i(y) wrt y.\nAnswer: 3756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 48. Is c at most as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37900, 75801, 113702, 151603, 189504?\nAnswer: 227405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-560)\/(-756)*9*45\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17986 by -86670.\nAnswer: 8993\/43335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = y - 2*l - 16, 0 = -4*y - 5*l + 31. Suppose -5*v = y + 6. Let f(x) be the third derivative of x**5\/60 - x**4\/24 - 3*x**2. Calculate f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5\/7))**(-30)\/((h\/(h**(12\/5)*h*h))\/h**(-1\/10)))**(3\/28) assuming h is positive.\nAnswer: h**(-1107\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 137447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**5\/24 - n**4\/12 - 2*n**3\/3 - 2. Let w(a) be the third derivative of q(a). What is w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:56 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 9. Let l be y(7). Suppose l*c + c = 153. Let h(w) = -17*w. Let v be h(-1). Calculate the greatest common divisor of v and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.5267 rounded to one dp?\nAnswer: 273.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:32 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcdddcccccdcd. Give prob of sequence dcd.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + -3 - (-3 + 8 - -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*b + 14, -6*b + 2*b = -20. Let a(g) = -9*g**3 - 2*g**2 + g + 1. Let h be a(p). Suppose -9*y + h = -6*y. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + 11*u**2 + 5*u - 5. What is the hundreds digit of o(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 9*o - 63. Let n be x(17). Differentiate -51 - 16*s + 35 + n wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 3:39 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80689951*d**3 - 80689956*d**3 + 161379910*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a = 85*a + 24. Suppose -7*k + 54 = -4*k. Suppose 5*y = 3*f + k, -6*f + a = 3*y - f. Solve y*m - 4*m - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - 2*sqrt(75) - sqrt(675)) + (6*sqrt(30)\/sqrt(5))\/(sqrt(2) + sqrt(8) + sqrt(8) + sqrt(16)\/sqrt(2) + sqrt(2) + sqrt(2)))*-4.\nAnswer: 232*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47121717 (base 8) to base 11.\nAnswer: 588172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 890*m**2 + 131849*m - 637120 = 0.\nAnswer: 5, 181, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-532)\/16 - -18). Solve 59*a - 5*i + 14 = w*a, -a + i = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4939 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 + 49630*j**2 + 99240*j = 0.\nAnswer: -9924, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 310050640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -335 + 1339\/4. Let m(h) = -h + 3. Let g be m(8). What is the nearest to 0.1 in 3, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 4:25 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*u**4 - 3608*j*u**3 - j*u - 13*u**4 - 70336*u**2 wrt u?\nAnswer: -48*j*u - 21648*j - 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 + 0.040889?\nAnswer: -500.959111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d - 3. Let c be 3 + -2 - 5 - 0. What is the tens digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10502*c*v**2 - c*v*w - 1017*c*w**2 - 127*c + 7*v**2*w + 6*v*w wrt w?\nAnswer: -c*v - 2034*c*w + 7*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 4, 2\/3, 63, 1.24, -3, 0.07?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87, -719, -1325, -1905, -2459, -2987, -3489?\n\"Answer: 13*r**2 - 671*r + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704) + (sqrt(704) - (-3 + sqrt(704))) + -3 + -1)**2 + 3.\nAnswer: -32*sqrt(11) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46, -165, -450, -985, -1854?\n\"Answer: -14*f**3 + f**2 - 24*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1834018*p**3 - 916936*p**3 - 916834*p**3.\nAnswer: 248*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*x**3 - 36416*x**2 - 57172*x - 20784 = 0. Calculate x.\nAnswer: -1299, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, 2, -4, -733 in increasing order.\nAnswer: -733, -24, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48001769 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let v(l) = 193*l + 5. Determine 2*u(t) - v(t).\nAnswer: -191*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2849592 = 13*t - 2425561. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -730*h**2 + 4252*h + 21. What is j(6)?\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 65442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/20 + 11\/(-4). Suppose -4*c + c + 28 = 2*i, -20 = -5*c. Let j = q + i. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/355122 and -53\/23260491?\nAnswer: 46520982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 3*j**2 - 12*j + 1. Let b be f(-3). Suppose a + 69 = u, 5*u - 3*a - 347 = -0*u. Calculate the greatest common factor of b and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = -5*u - 23, l = 2*u + 8. Let k(s) = -3*s**2 - 30*s - 19. Let j be k(-9). Solve l = -5*f - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 83?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, 3*t + t - 2*s + 716 = 0. Let i = 185 + t. Let p(j) = -8*j + 12. Let d(r) = 23*r - 35. What is i*d(c) + 17*p(c)?\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-6)*1*2. Let k be ((-3)\/h)\/(1\/(-5)). Suppose -k*u = -3*q + 36, 2*q - 20 = 3*u - 2*u. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 + 7*i - 1. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -352.4.\nAnswer: 7048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z + 118*z + 0 + 48 + 69*z - 99*z.\nAnswer: 154*z + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 20428 + 275639. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 14\/6 - (-5 + 8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 105\/(-30)*(-8)\/14. Suppose -1029 = -5*q - 2*i, 4*q - b*i - 362 = 472. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-227452)\/(-1126)*(25\/(-10)*1 - -2)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/20)\/((-12)\/57180)?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2\/3 - 40*o + 416\/3 = 0.\nAnswer: 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-31)\/(434\/(-308)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 214 or 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -3 - ((1 - -1 - (12 + -14)) + 16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 2:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-12))\/(20\/(-24) + 0). Solve -1\/5 - 2\/5*g**z + 3\/5*g**2 - 1\/5*g**3 + 1\/5*g = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-41104)\/(-84) + 1\/(-3). Let t = -311 + m. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jitiinvjjt. Give prob of picking 1 j, 2 t, and 1 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - ((sqrt(605) + -2*sqrt(605) + sqrt(605))*6 + sqrt(605)))**2 + sqrt(605) + (-1 + sqrt(320) + -2)**2.\nAnswer: -37*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g - 8519 = -4*w, 0 = w + 4*g - 2117. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8535, 17069, 25603, 34137?\nAnswer: 42671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/7 (b) 1 (c) 0.5 (d) -15.787\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51)\/(-9) + (-4)\/6. Let p(r) = 51*r + 257. Let c be p(-5). Sort w, 3, c, 4 in descending order.\nAnswer: w, 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -1131?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7724499784 - 7724499784 - 4*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*q - 5*y, q - 5*y = -2*q - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18771226 is divided by 166117.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0*f**3 + 0*f + 0 - f**2 + 0*f**4 - 1\/20*f**5. Let w(i) be the first derivative of -i**3\/3 + 86. What is y(w(x))?\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(12\/11)*(z*z*z**(-9))\/z*(z**(-1\/4))**(1\/44) assuming z is positive.\nAnswer: z**(-1217\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 7. Let a be f(-6). Let h(c) = 5*c**3 - 2*c**2 + 1. Let d be h(a). List the prime factors of (-30)\/(-4)*d\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.45 (c) 4 (d) -15 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - sqrt(11))**2 + -5 + (sqrt(396)*5)**2.\nAnswer: 9939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyyyluhuuhypyyhyype. What is prob of sequence puhl?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 40 = -2*u, -5*r + 26*u + 84 = 15*u for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9411 + -6022. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45981 is divided by 1703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*x - 62. Suppose -4 = -2*s + x. Suppose 0 = -s*v + 18 + 247. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or -5\/3167?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 57*w**2\/2 - 6*w + 57. What is the first derivative of q(h) wrt h?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 35365672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = -6*h + 4*h, 4*o - 4*h - 16 = 0. Suppose d = o*v + 1044, 2*d + 0*v + 4*v = 2102. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (6 + -3 - -5) + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d - 44*d + 20*d)*(-2*d**2 - 5*d + 5*d + (15*d**2 - 3*d**2 + 11*d**2)*(-2 + 5 - 1)).\nAnswer: -176*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205601908 to the power of 1\/2, to the nearest integer?\nAnswer: 14339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6983734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004458 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1520 = 62*r - 66*r. What is r rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f - 1. Let y = -14 - -13. Let n(s) = s**2 + s. Calculate y*p(u) - 2*n(u).\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 729099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 1)*(-4 + 4 + 4*v)*(6*v + 15 - 15) as h*v + g*v**2 + b and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1002 + -1002. Let j = -0.67 + 1.07. What is the closest to -1 in f, j, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 + 58*a**4*m**3 - 2*a**2*m**3 - 7*a**2*m wrt a.\nAnswer: -60*a**2 + 1392*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 6, g: 1, c: 4}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95655845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 602, 2, -6, 0.2, 5, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41551 by -27239.\nAnswer: 41551\/27239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146382 is divided by 36591?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 + 2353474*s - 2353476 = 0.\nAnswer: -1176738, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222 at least as big as 3330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 + 6*g + 6. Let c(j) be the third derivative of -j**5\/30 - j**4\/12 - j**3\/3 - 5409*j**2. Give 7*c(f) + 2*x(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-63)*2\/(-1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)\/c)**(9\/5)\/(c**0\/c)**(2\/53))\/((c*(c**(2\/9)\/c)\/c)**(-7\/4)\/(c\/c**(6\/5)*c**(-2\/7))) assuming c is positive.\nAnswer: c**(-1445483\/333900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 14 (c) 3\/5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3 - 3)*(u**4 - u**2 + u**2) + 2*u**5 + u**4 + 5*u - u**4 + 2*u**4 - 2*u**4 - 2*u**5 + (u - 2*u + 0*u)*(9*u**4 - 12 + 12).\nAnswer: -11*u**5 + 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) -2 (b) 1 (c) -1\/4 (d) 0.23 (e) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p + 25, -3*p = -2*k + 23. Let u(z) = -k - 8*z**3 + 0*z + 0*z + 5. What is the units digit of u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7978552 is divided by 997302.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27799\/268163 + 2\/9247. What is the smallest value in o, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 18*v - 2365. Let t(m) = -7*m. Give -i(o) - 3*t(o).\nAnswer: 3*o + 2365","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 37016.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -585 + 6*z**4 + z**3 + 3*z**2 + 587 - 2*z**3 + 2*z**3 to the form k + y*z + c*z**3 + s*z**2 + t*z**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hjhpppjhhh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376884348 + 376884348 + 6*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/x**19)\/x*x**(-3\/7))\/(x\/x**(-1\/11))**(-19) assuming x is positive.\nAnswer: x**(254\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 divided by 93.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1057, -2155, -3297, -4489, -5737, -7047, -8425?\n\"Answer: -p**3 - 16*p**2 - 1043*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxmmflxlffblxl. What is prob of sequence mm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57286588?\nAnswer: 2, 14321647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from immgiiyiryiyyiyggm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 5*r. Suppose 8*a - 20 - 20 = r. Solve -4*i = -a*s - 5 - 15, -4*i + 4*s = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16380, -32775, -49170?\n\"Answer: -16395*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501120033 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/10472 and -89\/374?\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-42)*14\/6*351\/26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25364 less than -0.098?\nAnswer: -0.35164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -436920*u**4 + 25*u**3 + 15211453*u wrt u?\nAnswer: -5243040*u**2 + 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815350 rounded to the nearest 10000?\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.0549054 - 0.1450396. Let u = d - -4.2. Round u to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2808.559 millimeters?\nAnswer: 2808559000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/8)\/((-6)\/16). Suppose n = -z + 8. What are the prime factors of (n*-1)\/(-1) - -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*v**2 + 71*v**6 + 28*v**6 + 0*v**4 + 29*v**6 + 0*v**4 wrt v.\nAnswer: 15360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*-4*sqrt(80) - (sqrt(80) - (sqrt(80) + sqrt(80) + -2 + (sqrt(80)*-1 + sqrt(80) - sqrt(80) - sqrt(80)) + sqrt(80) - sqrt(80))**2))*-4.\nAnswer: -288*sqrt(5) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 812 - 4758. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1514893*b**2 + 3*b - 7518648 wrt b.\nAnswer: 3029786*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnynnnnnnnnnnnnn. Give prob of picking 2 n and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-1)\/((-2)\/8*4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 + 5*a**3\/3 + 3*a**2 - 1. Let x be p(6). Find the second derivative of x*t - t + 0*t**3 + 2*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*1*23\/4. Suppose -2*k - 129 = k. Let j = h - k. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 50909.28 kilometers?\nAnswer: 50909280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711 times 0.1?\nAnswer: -171.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*((-1 + (((sqrt(5324)*-1)**2 + sqrt(5324) - sqrt(5324)) + sqrt(5324) - sqrt(5324)) - (sqrt(5324) - (-1 + sqrt(5324) + -4))**2) + 3).\nAnswer: 63612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 30*h - 39. Which is the smallest value? (a) h (b) 1\/3 (c) 1.6 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgjg when four letters picked without replacement from jggjjjjjjggjjj.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.53 - 0.53. Let q = -546904555.9999954 - -546904608. Let l = q - c. What is l rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34169 divided by -1?\nAnswer: 34169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -172773 (base 10) in base 15?\nAnswer: -362d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 1. Suppose 7*t + 360 = 3*t. Let n be (t\/25)\/(2\/10). Let p(i) = -8*i**3 - 9. Give n*k(z) + 2*p(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 15. Give x(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 2 + 3 - -3. What is the third derivative of 0*t**2 + 5*t**b - 6*t**2 - t**5 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - 18.97. Let x = -19.3 - t. Which is the second biggest value? (a) x (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/2)*h**(-6)*(h\/(h*h**(-3)*h*h))**(-9))**(-4\/19) assuming h is positive.\nAnswer: h**(46\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceec when four letters picked without replacement from eecczohccooccze.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3099\/19 - -163. Let h = -0.3 + -0.7. What is the third smallest value in -3, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - -5. Let v be (45 - q) + 1*55007. Round v to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1908 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1 + sqrt(72)*3 + sqrt(72))**2 - (sqrt(98)*-2 - sqrt(22)\/sqrt(275))).\nAnswer: 311*sqrt(2)\/5 + 1154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1072533*n - 2535980 wrt n?\nAnswer: -1072533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 5 - t**3 - 69*t**2.\nAnswer: -t**3 - 69*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 7*y - 7 - y**3 + 5*y**2 - 3*y**3 + 3*y**3. Let q be w(5). Suppose -2*z + 4*z - 3*d + q = 0, 3 = -5*z + 3*d. Solve -2 = -c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9602 + 128981 = 3061*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 24 = 5*j + 1, 2*p - 7 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2. Let t(f) = -12*f. What is t(x(j))?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122 - 6?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.053 in -0.305, 2\/3, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -2.59?\nAnswer: -2.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*v - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*a**4 + 435*a**2 + 2?\nAnswer: -1248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x + 32 = 0. Are -5 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 828\/99*(-10)\/20 and -71\/266?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0485 + 2.9515. Let n = -79\/65 - -8\/5. Suppose 0 = -2*k + 3*q + 15, 0 = 6*k - 2*k + 2*q + 10. What is the third smallest value in n, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let v(o) be the first derivative of 130*o**3\/3 - 108. Let q be v(a). Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -36.242.\nAnswer: 1195.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-795)\/(-10)*2\/(-3). Let i = 37 + t. Let h = i - -11. Put h, 4, 0 in descending order.\nAnswer: 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h**2 + 0*h)*(8*h + 74*h - 7*h) + 2*h**3 + 0*h**3 - h**3 in the form c*h**2 + d + j*h + o*h**3 and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 16*c**2 + 37*c - 9. Let r(w) = 33*w - 180. Let o be r(6). Let q be d(o). Solve j + q - 5 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 27*p**2 - 11*p - 52. Determine b(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*w - 532*w = -45045 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 8*y**2 - 28*y - 3. Calculate d(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.01 - 1. Let v = -0.04 - -0.55. Let o = q - v. What is the nearest to 0 in o, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 26. Let c be g(12). Let z = -6 - c. Suppose 0 = -2*x + 2*a + 30, 0 = -4*x - x + z*a + 71. Solve -36 + x = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*w + 20, -17 = 5*w + 5*o + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**4 + 11*l**3 - 2*l**2 - 17*l. Let r(k) = 4*k**4 + 10*k**3 - 2*k**2 - 16*k. Let g(j) = -4*r(j) + 3*y(j). Find the third derivative of g(i) wrt i.\nAnswer: -24*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*y - y - 34*y**2 + 38*y**2.\nAnswer: 4*y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016205 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 3. Let v(t) = -t**3 - t**2 + 3*t + 1. Let n be v(-3). What is the remainder when 24 is divided by q(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-11)*c)))\/(c*c*c\/(c\/(c\/(c*(c\/((c**(4\/11)*c)\/c)*c*c*c)\/c*c))*c*c)*c)*c**(-9)\/(c**(1\/9)\/c) assuming c is positive.\nAnswer: c**(-1433\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l**2 + 19*l - 15. Let j(v) = -5*v**2 + 10*v - 7. Let i(r) = 5*j(r) - 2*t(r). Give i(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 211903 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 - 14*o**2 - 14*o. Let g(d) = 15*d**3 - 40*d**2 - 43*d. Let l(u) = 4*g(u) - 11*t(u). What is the second derivative of l(m) wrt m?\nAnswer: 30*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2. Suppose -l = -2*k, l = 2*l - 3*k + 2. Let z(o) = 6*o - 3*o - 18 - 5*o + o + l*o. Calculate z(x(n)).\nAnswer: -12*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((6\/136)\/(75\/60)). Let i(u) = u**2 + 3*u + 3. Let f be i(-3). Suppose 29 = -f*p - c. Is -38 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.016 + 0.016. What is the closest to -1 in 0.1, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740 divided by -6\nAnswer: 370\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 + 1. Suppose 3 = 4*z - z. Let d be f(z). Suppose 3*n - d = -3*b - 21, n + 5 = 0. Solve -3*x + b*x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2727150 rounded to the nearest 10000?\nAnswer: -2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51\/10 - -11\/2. Let i = -49 + 58. Let f = -7 + i. Which is the nearest to r? (a) 0.5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49861 and 2338?\nAnswer: 16653574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 2. Let r be l(-3). Suppose r*a + 10 = 7*a. Suppose n = 2*y - 4*y - 6, 0 = -n + a*y + 8. Is n <= 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 9:13 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 30. Let h(g) = 487*g**2. Determine i(h(a)).\nAnswer: -1948*a**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16657 + -2?\nAnswer: 16655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3823470 and 44506?\nAnswer: 42058170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + 3*h)*(-7*h + 5 - 2 - 2)*(2*h**3 + 3*h**2 - 3*h**2).\nAnswer: 14*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:55 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3367 or 3366?\nAnswer: 3366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*r**2 + 9\/4*r - 9\/4*r**3 + 0 + 3\/4*r**4.\nAnswer: 3*r*(r - 3)*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t - 12. Give j(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 286898737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.01. Let r = 0.41 - s. Let t = 0.6 - -0.4. Which is the closest to t? (a) -0.2 (b) r (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 + 0*h - 67*h**2 + 21*h**2 + 21*h**2 + 159*h.\nAnswer: 2*h**2 + 159*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -2\/3*m**3 + 0*m**5 + 0*m**2 + 7*m + 0*m**4 + 0*m**6 - 1\/6*m**7 + 0. Find the second derivative of f(t) wrt t.\nAnswer: -140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 2 b when four letters picked without replacement from {c: 2, o: 1, h: 1, l: 1, f: 1, b: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 887*x + 1. Let w(l) = -3*l. Give t(w(u)).\nAnswer: -2661*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153 - -67) + 47 - -29?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1)*(-9)\/45. Which is smaller: q or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1130 - -249. Let v = 345 + o. What is the units digit of (v\/(-6))\/(2\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4\/4) - -2. Let k(p) = 3*p**2 - p. Let l be k(1). Let j(m) = -2*m**2 - 2*m**l + s*m**2. Let u(o) = o. Give j(u(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 783, -4, -775, -1530, -2269, -2992?\n\"Answer: 8*f**2 - 811*f + 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 120, 2\/11, -0.13, -1\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 9:01 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3306 + -26413\/8. What is the common denominator of 37\/41 and r?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485664 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -l + 4*s, -4 = 5*l - 4*s. Let r be -1 + 3 - (-25)\/(-11). Let o = r - 27\/22. What is the closest to l in -5, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 13008, -10, -1 in decreasing order.\nAnswer: 13008, 1, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/3 + b**3\/6 + 5*b**2 + 2. Give p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from szwlymzw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/19 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 36. Let j be w(17). Suppose v = j, -2*v = y - 5 - 26. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:19 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 - 6.3. Let l = 78 + -392\/5. Which is the nearest to 3? (a) 0.5 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/4 - 4)\/(1\/4))\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1732*b**3 + 14*b + 863*b**3 - 55*b + 13*b + 22*b + 868*b**3.\nAnswer: -b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2042461 and 433.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 3*c**2 - 2*c**2)*(-5 - 1 + 2)*(-1 + 0 - 1)*(-3*c + c + 0*c) + (7*c + 4*c - 81 + 73)*(-c**2 + 4*c**2 - c**2).\nAnswer: 6*c**3 - 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*b - 124, -5*b = 1011*v - 1012*v - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/(-4) - 5\/(-20). Let x = -4 - d. Suppose l = -l + 3*p + 49, 14 = x*l + 4*p. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720669098 a multiple of 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -4 (c) 0.5 (d) 0.0208 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 7701\/255)*170*-2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 4*p**5 + 0*p**4 + 14*p**5 + 25*p**5 - 27*p**5 + (p**3 - 3*p**3 + 0*p**3)*(2*p**2 + 4 - 4).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-3)*(-1044)\/(-1740)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, -3, -3\/5, 1, -134?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -18. Let i = 26 - q. Let p(w) = 2*w - 6. What is p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 13. Suppose -6 = 2*l - 24. Let g be v(l). Suppose 4*m - g*w - 56 = 0, m - 19 = w - 6. What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 82. Suppose 0 = -r*m + 3*j + 5, -m + 4*j + 6 = 4*m. Solve -3*t = -5*x + 17, -1 = x - m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -69840875 divided by -13968175?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b - 376 + 2016 = 0. Let c = 4 - -8. What is the least common multiple of c and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4. Calculate the least common multiple of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:47 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 81?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2741 - -2\nAnswer: 2743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -82. Solve -2 = u*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -13. Let i = -5 - 8. Let a = i - -16. Calculate the remainder when q is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/4 - (-28)\/(-112). Let b be 406\/(-84) - 1\/p. What is the nearest to -1 in 0.03, b, 0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -1060?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -t + 17, -8*s + 3*s - 5*t = -55. Let g = s + 234. What is the lowest common multiple of g and 8?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2571 - 2573 + 5097 - 3*h.\nAnswer: -3*h - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(7\/2)\/w)\/(w**(-7\/3)\/w*w) assuming w is positive.\nAnswer: w**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:52 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 211 + 43 = 2*c, 0 = -4*c + 4. Let n(d) = 11*d**2 + d. Let r be (6\/(-9))\/((-4)\/6). Calculate the remainder when i is divided by n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3\/3 + 4192*b**2\/3 + 16720*b\/3 + 5568 = 0 for b.\nAnswer: -1044, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626920 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4486 take away 3.1?\nAnswer: -3.5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4038 + 4906 = 447*h + 112*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 plus -1640.52308?\nAnswer: -1640.54708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0327288 rounded to 3 dps?\nAnswer: -5.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + ((-158)\/18 - (-90)\/(-405))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-4 - -13) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*o + 6 = 213*o. Suppose -3*g = -2*g - o*h - 1613, g + 3*h - 1633 = 0. What are the prime factors of g?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/10 + 5*v**4\/8 + 3*v**3\/4 + 21*v - 6. Let i(r) be the first derivative of n(r). Factor i(s).\nAnswer: s*(s + 3)*(4*s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -11. Solve -4*c = -2*k - 14, -2*c - q*k + 11 = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 6*y - 20. Let w be 12*((-4)\/3)\/y. What is the tens digit of (-58)\/(-4)*w + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 14*w - 4*m, -3*w + 3*m - 63930 = -63942 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 262 = 141*a. Solve -3*n - 2*l = -11, -n - l + 13 = a*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/69 + 9042\/1518. Solve i = -2*h - 3*b, 5*b + 3 = -h + 6*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1975, -3694, -5169, -6400, -7387?\nAnswer: -8130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*d*u - 3*a*d - 2*a*u + 2*d + 2*u + 11 wrt d.\nAnswer: -2*a*u - 3*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66246553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271.619 + 8.414504.\nAnswer: -263.204496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 + -112. List the prime factors of 4 - 3 - (-118 - q).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 141*n - 2. Let l be j(-8). What is l rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -41, -73?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Suppose q = -3*t + 12, 0 = -5*r + t - 6*t + 55. Solve d - 2*k - 5 = 2*k, r = -5*d + 4*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 114*d + 256. Let f be j(40). Solve 12 = r + f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 3, -3, -14, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*v - 1 = 0, -4*z + 20 = -3*v - 3. Calculate the smallest common multiple of z and -107*(-3)\/18 - 6\/(-36).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3059197038.\nAnswer: 2, 3, 839, 67523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (15 + (-99)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 96*u**2 + 5*u. Let x(d) = 34*d. Calculate q(x(s)).\nAnswer: 110976*s**2 + 170*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(2\/3)*s**(-2) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*s = 1, -4*h + h = s - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 14 + 49. Suppose 0 = 6*j + u*j - 44. Solve -2*z - j = 2*z - 5*d, z - 4*d + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 - 45. Suppose -2*f = -t - 320. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*n - 31, -4*d + n = -4*n + 40. Let h be 9\/(-45) + (-8)\/d. Suppose 0 = -5*i, i = 2*p - 0*i. Which is bigger: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*s**3 - 26531*s**2 - 3896*s - 36 wrt s?\nAnswer: 60*s - 53062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 + 22129?\nAnswer: 22049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9782 and 1898.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 2*z + 2*x, 4 = 4*z + 5*x. Let j be 4\/z*(10 - 0). Let a(m) be the third derivative of -m**4\/24 - 2*m**3 - 18*m**2. What is a(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136b (base 15) in base 6?\nAnswer: 31115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 5:39 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 + 7*a - 3. Let g be r(6). Let l(j) = 6*j + 1. List the prime factors of l(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 5*u - 2 + 1 - 113*u**2 + 111*u**2 to j + a*u**2 + w*u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1633901929?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 67652*g - 572099138.\nAnswer: -2*(g + 16913)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-27)*-3*(-10)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {n: 1, r: 4, q: 5, s: 1, o: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d8 (base 16) in base 15?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(9\/2)*s*s*s)*((s\/((s\/(s*s**(2\/5)))\/s))\/s)\/s)\/(s**0)**(2\/81) assuming s is positive.\nAnswer: s**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-176)\/220)\/(2\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63070866*i**3 + 895*i**2 - 3*i + 3401.\nAnswer: 378425196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (218*w**3 + 92*w**3 - 726*w**3)*(-18*w + 23*w + 15*w) in the form q*w**2 + s*w**4 + h*w + v + j*w**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9272 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 3*w - 3*w)*(-2*w**3 + 0*w**3 + w**3) + 0*w**4 - 20*w**4 - w**4 + 4*w**4 - 3*w**4 - 2*w**4 as v*w**4 + s*w + m + l*w**2 + q*w**3 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 15)*14\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 29667385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/7, 6\/11, -1\/3 in ascending order.\nAnswer: -1\/3, -2\/7, 1\/4, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:26 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000022020 (base 3) in base 6?\nAnswer: -2040353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1286528 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**4 - 37*o**4 - 11*o**4)*(-o + 3*o + 3 - 3*o).\nAnswer: 33*o**5 - 99*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1\/5 (c) -0.042 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -915255, -3660779, -8236653, -14642877, -22879451?\nAnswer: -32946375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1245443 (base 7) to base 8\nAnswer: 475771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. Let n(k) = -2*k + z*k - 4 + 0*k + 3*k**3 + 1. List the prime factors of n(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*15\/(-6)*19\/665\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c + 213 = -a, 8*a - 2*c + 621 = 3*a - 6*c + 580 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.16 - -23. Let d = 0.16 + m. Are -13 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {f: 2, s: 4, k: 1, r: 1, n: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 67 = 3*m + 6, -2*m - 5*w + 37 = 0. What is the common denominator of (-29)\/m + (-18)\/63 and 31\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/24)\/(1\/(4\/7))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426*s - 401*s - 118750 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7*h)*((1 - 2 + 3)*(3*h - 2*h - 3*h) + 4*h - h - 2*h + 3*h - 5*h + h + 14*h - 85 + 85).\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1050)\/(-8) + 12\/16. Suppose -v*k = -131*k - 219. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 - 155 - (2 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 61, 99, 145, 199, 261, 331?\n\"Answer: 4*k**2 + 18*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 7717 = -137. Does 51 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 2569*l**3\/3 - l**2\/2 + 40*l. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100100110011011101111 (base 2) to base 14\nAnswer: 61dab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512 + 783 = 293*z + 736 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/8197?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8 and -1 + 7 + ((-4)\/(-8))\/((-11298)\/136850)?\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kvkvkvkvvkkv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.1, 0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9006 and 239133.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 3325*s**2 + 13235*s + 9915.\nAnswer: 5*(s + 1)*(s + 3)*(s + 661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1600\/9 - -178. Let h = 3 - 3.4. Which is the closest to 1? (a) 0.4 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001762?\nAnswer: 2, 500881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -56. Suppose 0 = -3*l + 2*w + 6, -5*l + 0 = 3*w - 10. Let h(k) = -3 - 2*k**2 + 3*k**l + 0*k**a - k - 2*k**2. Give h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -41158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 29, 60, 113, 194, 309, 464, 665?\n\"Answer: u**3 + 2*u**2 + 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -16*j + 2*j**2 + 2*j**2 + j - 16*j**2 + 14. Is l(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 33*p + 286. Calculate y(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294904700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289254 = -2*z - 2*c, 144621 = z - 648*c + 652*c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**(-38)*f**(-2\/7)*f\/(f\/(f\/(f**(-1\/4)*f*f))*f) assuming f is positive.\nAnswer: f**(-361\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 61 - 85 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7532 and 18704.\nAnswer: 5031376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20033?\nAnswer: 13, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 8. Let d(z) be the third derivative of -1\/24*z**4 - 1\/15*z**5 + 0 - z**2 - 1\/120*z**6 + 0*z + 2\/3*z**3. What is d(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-279) - (-1110)\/(-93) - -7 - 27\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -119, 28, 0.073, 0.12?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83073868 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*u - 354*u - 35137 = 71*u for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 101830 = 4*p, 0 = -4*q - 395*p + 394*p + 203709. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**8\/73920 - v**6\/7920 - 11*v**4\/8 - 112*v**2. Let p(w) be the second derivative of c(w). Factor p(n).\nAnswer: n*(n - 1)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -0.3 (b) 0.0028 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 51 + 18 + 74*x**2 + 6*x**2.\nAnswer: 80*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 220 = 0. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 1720653 + 1719393 = -17*n for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-172)\/36 + (-2)\/9. Suppose q*c = 7*c - 63. Solve 0 = -2*w - w + c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 3*j - 8 - j)*(2*j + 2*j - 6*j) as p*j**2 + k + a*j and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 14 (c) -1\/4 (d) 1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 + 0 + 4. Suppose -2*c + g*c = -3*q - 17, 2*c - 4*q = 16. Put -2\/3, c, 6 in increasing order.\nAnswer: c, -2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpcnbbn. Give prob of picking 2 p and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 46. Let n = l - 17. Suppose -n*c + m = 2, -2 + 8 = c + 3*m. Solve 0 = 3*k + 4*d - 1 - 10, c = 5*k - 3*d - 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 20*n + 192. Calculate q(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/96 and 61\/3087.\nAnswer: 98784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/15*-2*9\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 4 in ascending order.\nAnswer: -5, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223154 (base 11) to base 3.\nAnswer: -11000001212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4 - -4. Let h = -376.53 + 376.73. Which is the nearest to h? (a) 1 (b) -0.04 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*j + 32*j + 27*j + 35*j + 27*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:39 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 + 3*r + 3. Let x be t(-6). Calculate the common denominator of -45\/4 and (-3)\/x*470\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -531, 0, -1\/33 in decreasing order.\nAnswer: 0, -1\/33, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018843189178 to six decimal places.\nAnswer: -0.018843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 3*l + 7, 2*j - 8*l + 6*l - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100222 + 1213?\nAnswer: 102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 757, 895, 1033, 1171, 1309?\n\"Answer: 138*k + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 66343323186402?\nAnswer: -66343323186396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, 3\/4, 0.356, -30?\nAnswer: 0.356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0 + 0)*(4*p**2 - 6*p**2 + 4*p**2).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -46. Which is the fourth smallest value? (a) v (b) -1 (c) 0 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s**2 + s. Let i(u) = -u. Let h(y) = 2*i(y) + 2*w(y). What is h(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -0*i. Suppose 7*l - 50 = 2*l. Differentiate 4 - 2 - l*q + q**i + 10*q wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340657821 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) -1 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/76)\/(26\/247)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16*k**3 - 57*k**2 + 7*k - 46. Let c(a) = -2*a - 104 - 11*a**2 + 95 - 2*a**3 - a**3 + 3*a. Let s(y) = 2*b(y) - 11*c(y). Determine s(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -253.14 - -3.14. Let x = -249.9773 - f. What is x rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 433150 and 39806485.\nAnswer: 398064850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/12*(2\/(-12) + 0). Sort 1\/4, 3, w, 2\/11.\nAnswer: w, 2\/11, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52467793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22.88*148169\nAnswer: -3390106.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000101101010101100 (base 2) to base 4.\nAnswer: -11011222230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11028 is divided by 730.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*2*(4 + sqrt(117)*-5))**2.\nAnswer: -17280*sqrt(13) + 423501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*1\/((-25)\/(-10)). What is the tens digit of ((-940)\/20)\/((-2)\/l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1.3. Let b be 13\/(-18)*21\/(-14) + 2 + -3. Sort b, 3, x, -0.02 in descending order.\nAnswer: 3, x, b, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let g be 4*1*(-1)\/4. Let r(p) = -2*p + 1. Calculate g*r(q) - 4*i(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 13*x**3 - x**3)*(2*x + 0 + 0)*(x + x - 3*x).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v*v**(-3\/8))**(-1\/6) assuming v is positive.\nAnswer: v**(59\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2816 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 1. Let b be u(1). Let a = 10 + -6. Suppose 3*g + 0 = a*o - 2, o = -3*g + 8. Sort b, -2, g.\nAnswer: b, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*b - 30, j - 2 = -1. What is the least common multiple of b and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782263883324 + u - 782263883324.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.58 - 2.68. Suppose -80*x + 76*x = -4. Which is the nearest to l? (a) x (b) 0.6 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = 5*x, 108*x - 111*x - 4*h = -7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.5 - 917.5. Let k = p - -797.4. Round k to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/57 and 76\/9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -27 - -25 - -9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21099 divided by -1041?\nAnswer: -7033\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4909932 is divided by 1081.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 258709728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 0 + -2 + 1. Let k = 12 - n. What is the smallest common multiple of k and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -228. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1202 and 921405.\nAnswer: 922607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*j**5 - 27238675*j**4 + 127113570*j**3 - 145272570*j**2 + 18159055*j + 27238605 = 0. Calculate j.\nAnswer: -1\/3, 1, 3, 1815907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/28 and 67\/1364?\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3747 + -2857. What is the greatest common divisor of 267 and v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 18*y + 11. Let n be l(-18). Let s(c) = -c**2 + 8*c + 31. Let i be s(n). Sort i, 0, 5 in decreasing order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -14*h - 12 + 69. Suppose 56 + 56 = 2*p. What is the highest common divisor of h and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3 - (-160)\/56) - (-793)\/(-91).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 18 = 3*l + 7*d, 15*d = -l + 25 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*2\/(-7). Let w = 1.84 - 1.9. Is w greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**5\/40 - 43*k**4\/8 + 503*k**3\/12 - 375*k**2\/4 - 14059*k. Solve l(r) = 0.\nAnswer: 1, 3, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75, -4, 2, -9, 18\/19?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:59 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -3*c - 10. What is the smallest common multiple of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d. Let t(y) = -y**3 - 4*y**2 + 21*y + 4. Let m = 30 - 27. Let g(v) = m*w(v) - t(v). Let i be g(-9). What is the closest to 1 in -1\/2, i, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1726460 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -418.\nAnswer: -417.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -1 - 3\/(-3). Let a(q) = q - 6. Let k be a(s). Suppose -u - u = r - 11, -2*r - k = u. Solve -3*c - c = u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 447976187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Let u(f) = -f**3 + 6*f**2 - 5*f - 2. Let a be u(v). Sort -1, a, 0 in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = y, 4*y + 24 = 3*h + h. Solve u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 26. Calculate g(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7924290 rounded to the nearest 10000?\nAnswer: -7920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7892327?\nAnswer: 7892327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-7616)\/17)\/(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59.4 - -59.9. What is the closest to -1 in 5, 109, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1989 and 26451204?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133042687.\nAnswer: 133042687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/11 - 96*t**3\/11 + 432*t**2\/11 + 17280*t\/11 + 64800\/11.\nAnswer: 2*(t - 30)**2*(t + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 5. Let o(m) = -1. Let g(l) = -a(l) - 4*o(l). Let d(p) = 375987*p - 1 - 751962*p - 3 + 375970*p. Give -2*d(j) + 11*g(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 61032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*6)\/((2*sqrt(81))\/sqrt(9)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 1:38 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 + 265. Solve 20 = u*l + 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -5. What is the least common multiple of 22*(42\/105)\/((-2)\/(-5)) and (-19)\/((14\/m)\/7)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/5 - 750*q + 85192\/5 = 0.\nAnswer: 23, 1852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 66 - 171 - 2617*r + 47 in the form p*r + c and give p.\nAnswer: -2617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 1. Let s(m) be the second derivative of -m**4\/12 - 4*m**3\/3 - 3*m**2 + 4*m. Let r be s(-7). Determine c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = g - 6, 2*g - 2 = -5*b. Let f = 5 - 2. Suppose -5*n + 15 = 5*h, 8 = -5*h - n + 3. Sort g, f, h.\nAnswer: g, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*m - 9, -4*l + 9*l + 20 = 5*m. Suppose 0 = -3*b, -51 = -m*i - 0*b - 4*b. Suppose -1685 = -i*v + 16*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*-4)\/(sqrt(35)\/sqrt(180) + sqrt(7)).\nAnswer: -48*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 363009142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(f**3 - 4*f**3 - f**3)*(1 - 1 - f).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*a - 5*g - 22, 5*a + 5*g + 30 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.4, -1\/30, -1\/9?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 5*o + 8. Suppose -14*h = -13*h. Suppose 8*c - 5*c + 15 = h. What is the units digit of r(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 + 624*v**3 + 6094*v**2 + 16344*v + 10872 = 0.\nAnswer: -302, -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 3, -7, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3904481685 to the power of 1\/2, to the nearest integer?\nAnswer: 62486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 9, q: 1, l: 4}. What is prob of picking 1 e, 1 q, and 1 c?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1559.\nAnswer: 779.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 3. Suppose c + 4*q + 5 = -16, -q = 5*c + 29. What is m(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 - 2.1. What is the closest to -0.1 in 3, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/10 and 53\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-8) - (-18)\/144. Let d(i) = -i**3 - i + 4. Give d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -5*j - 2*h, -5*j - 295 = h - 503. What is the least common multiple of j and 708?\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(5445\/(-242)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 + 2)*(3*d + 0*d + 0*d - 2) to the form t + a*d and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148979, -287906, -426833, -565760, -704687, -843614?\nAnswer: -982541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + 7*a + 3. Let g(n) = -n**2 - 1. Let y(w) = 3*g(w) - h(w). Let z be y(6). Let i = 25 + z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44263.71 rounded to the nearest 100?\nAnswer: -44300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6199?\nAnswer: 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(26)\/sqrt(2) + (1 + 1 + sqrt(13))**2 - (sqrt(1573)*-1*3 + sqrt(1573))**2.\nAnswer: -6271 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 281*h - 345. Let y(w) = -400*w + 483. Let g(s) = 17*q(s) + 12*y(s). Let v(a) = 1. Determine -2*g(o) - 138*v(o).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1078117 * 5.\nAnswer: 5390585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2 + 24*x + 10*x + 2. Let o(g) = 97*g - 7. Let p(c) = 70*c - 5. Let n(s) = 5*o(s) - 7*p(s). Give i(n(y)).\nAnswer: -170*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 19 - 11 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6*h - 8 + 8 + 36*h.\nAnswer: 42*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 + 1. Let f(m) = 4*m**2 - 180*m - 2. Give f(x(u)).\nAnswer: 64*u**4 + 688*u**2 - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*v**2 + 1352281*v + 79597812.\nAnswer: -16*v + 1352281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/((8\/(-6))\/4*53\/((-1749)\/99)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -26*r + 26. Let j(h) = h - 2. Calculate -a(p) - 4*j(p).\nAnswer: 22*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:54 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50248 by -12562.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326 - 287. Let s(o) = -o**3 + 42*o**2 - 83*o - 29. What is the tens digit of s(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169701611 or -169701606?\nAnswer: -169701606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4, v: 8, x: 1, d: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7008 = -142*k - 150*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*x - 5 = 0, 4*x = 10*y - 11*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 2*t**3 + 560*t**4 + 3*t**2 + t - 558*t**4 + 6*t to the form h*t**4 + a*t**3 + x + u*t**2 + m*t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(192) + 1 + 3) + 1 - 6*((sqrt(192) + 0)*-4 - (3 + 1*sqrt(192))))**2.\nAnswer: 57120*sqrt(3) + 669531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2983203899 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3395.08773 and -1.66.\nAnswer: 3393.42773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c + 14. Suppose c*n + 5 = 19. List the prime factors of (n - 3)\/((-114)\/111 + 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:08 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 4\/(-3). Let v = -7.68 - -9. Let m = v + -0.32. What is the third smallest value in u, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 219*z - 222*z = 176580, -4*z + 353200 = 6*i. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*w + 6 = 0, 2*z + 7131*w + 6 = 7130*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:14 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 + 5*z + 11. Calculate s(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 196 = -3*a - 151, 2*b = -a + 55 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2899 - 1?\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 4*j - 12 = 0, 4*t + 3*j - 10 = 0. Suppose t*m = -p + 2, -2*m - 3*p = -0*m + 4. Suppose -u = -31 - m. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddvgtvgwugttttwtt. Give prob of sequence du.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 283969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-14 + 8 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -555, -801, -1047, -1293, -1539?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -41. Let z = 28.87 - h. Let t = 0.03 + z. Which is the second biggest value? (a) t (b) 2\/21 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/((-69)\/46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*f + 31, 0 = 4*f - 9*u + 4*u - 117. Let i = 18 - f. Sort i, 12, 1 in decreasing order.\nAnswer: 12, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -104*x - 117. Let p(n) = -n - 1. Let v(f) = 2*i(f) - 234*p(f). Let j(d) = -9*d**2. Calculate j(v(s)).\nAnswer: -6084*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 2*k - 241*k**2 - 3*k - 225*k**2.\nAnswer: -466*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54084353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.37 + 0.93. Let y = -4.59 - 0.71. Let p = y + z. What is the closest to p in 5, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 38 = -2*q, -4*q = -2*f + 1 + 27 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116703028 <= 116703028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2366017 hours in milliseconds?\nAnswer: 851766.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42041700 divided by 6210.\nAnswer: 6770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619343825.\nAnswer: 5, 24773753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 10. Let u(z) = z + 7. Let g be u(-4). Suppose 2*k - g*f = 401, -2*f + 340 = y*k - 36. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 + 0*h + 21*h**2 + 0*h - 19*h**2 to the form r*h + j*h**2 + m and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5012067565.\nAnswer: 5, 1002413513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103378 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p. Let q be r(-2). Suppose 2 = -7*y + 45 - 1. Solve -3*c + h - 13 = q, h = y*c - c + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(105)\/(sqrt(80) + sqrt(5)))\/(sqrt(21)\/sqrt(3)*-4))**2*1.\nAnswer: -9\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 7 = -11*c. Factor 2*d**3 + 0*d**3 + 5*d**2 - d**3 + c*d + 3.\nAnswer: (d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-2)\/(16\/(-24)))\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0.3 (b) 4 (c) -3\/23 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*t - 451. Let z = t + 967. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1175*y**4 + 3*y**2 - 5453.\nAnswer: -4700*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 891687 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351 - -372. Let w be 15*x\/27*3. Solve 0 = 4*r + o - 6*o + w, 3 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 - (1 + -6)) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4ecc (base 16) to base 14\nAnswer: 74cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*g*w**2 + 2*f*g*w + 139*f*g + 79*f*w**3 - 1165*f*w**2 + 6289*g*w**3 wrt w.\nAnswer: 474*f + 37734*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*(4\/(-5))\/(-2). Suppose l = w - 3. Solve -t + 4*t + 3 = 0, 2*g = t - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l - 2)*(81*l - l**2 - 48*l + 57*l).\nAnswer: 2*l**3 - 180*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/5, -206 in descending order.\nAnswer: 3\/5, 0.5, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 5*k + 10. Let i be c(-5). Suppose -10 = -4*l - 2*q, 5*q - q - i = -3*l. Suppose s + l*h + 0*h = 25, 79 = 3*s + 5*h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 6. Let j = -5.9 + p. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 0*s**2 + 0*s**2 + (s + 0*s + 6*s)*(-9*s + 6*s - 13*s) - 16*s + 7*s**2 + 16*s.\nAnswer: -104*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 2) + (-69 - 2) + (798 - 777)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-74)*(2\/(-10) + (-6625)\/4375). What is the second biggest value in -0.2, 8\/7, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 + 52375430448\nAnswer: 52375430445.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -5 - 8\/15*z**3 - 2\/5*z - 7\/10*z**2 - 1\/10*z**4 + 1\/30*z**6 + 2\/25*z**5. Factor a(l).\nAnswer: (l - 2)*(l + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368904.\nAnswer: 2, 3, 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/63, -1, -0.3, 0.09, 12, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.36 - -0.1. Let x = r + 27.14. Let o = 28 - x. Sort o, 9, 1.\nAnswer: o, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 + 6 = 2*d, -t = -5*d + 7. Let n(g) = -4*g**2 + g + 4. Let l be n(d). Is (-152)\/(-4)*l\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195140872 a multiple of 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - 38. Let d = -49 - u. Suppose 7*o - 6*o - d = 0. Solve -o*b - r + 6 = -0, 0 = -4*b - 5*r + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104817 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 13, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-49492)\/(-1*4). Suppose 4*v - h + 12405 = -2*h, 0 = -4*v + 5*h - g. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 497673 or 497670?\nAnswer: 497673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:00 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-32 + 26 - ((-6 - 0) + -15 + 14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-345)\/(-805))\/(12\/(-1092))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8432000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 9. Suppose 2*c = c - 5*r - 22, 3*c = r + 14. Let k = c + n. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 101. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34837233 + -264.34756233. Let u = r + 264. Round u to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 4*f + f)*(-2 - 3 - 17) to the form w*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 67*k**3 - 12*k**2 - 24*k + 6. Let d(a) = -197*a**3 + 34*a**2 + 74*a - 17. Determine -6*d(j) - 17*f(j).\nAnswer: 43*j**3 - 36*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304593 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 391919621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1c338?\nAnswer: -1c339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 7. Let h be q(-10). Suppose -r + 3*s = -s, -h*r = -2*s - 10. Solve -r*o + 4 = 4*b, 5*b - 23 = 2*o + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - s**3 - 2*s + 2*s - 2*s + 5. Let w be j(5). Let b = 0.467 + -0.067. Put -0.3, b, w in increasing order.\nAnswer: w, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let j(p) = p + 66. Let r(h) = -10689*h - 528. Let m(o) = -8*j(o) - r(o). What is a(m(k))?\nAnswer: 228167522*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (14 - ((21 - 10) + -8 - 14)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*v - 2*v = 17, 0 = -3*b - 3*v + 12. Let w be (-2)\/(-6) + (-10)\/(-6). Suppose -w*g - 5 = -15. Solve -b*h = -g*m - 6, 2*h + h = m + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - h - 64*h**3 - 8*h.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -25. Let j(s) = 6*s + 6*s + 8 - i*s. What are the prime factors of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.73, 1\/2.\nAnswer: 1\/2, 0.73, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-30)\/(-300))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 52570\/(10 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -15, 7, 67, 177, 349?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1482 and 16378.\nAnswer: 638742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6894404059?\nAnswer: 29, 499, 476429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1c88 (base 15) to base 5\nAnswer: -144303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 17*r**2 + 18*r + 35. Let u be d(-16). What is the second derivative of -731*t**3 + t + 687*t**u + 10*t wrt t?\nAnswer: -264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 416 = -j. Let f = j + 65. What is the remainder when f is divided by 2 + (0 - 0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 23 - 17 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 - -6 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.07, 375, 1\/91?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8545 or 411.07?\nAnswer: -1\/8545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6080 + 12402. Suppose 0*l + 2*f = -4*l + w, 4*l = 3*f + 6307. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -942 - -913.92. Let i = s + 28. Is i equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24168 - -120842\/5. Let f = 1.9 + -1.6. Which is the closest to w? (a) -3\/7 (b) -1\/5 (c) f (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k - 8 = 0. Suppose 4*n + 3*q - 56 = 0, q = k - 8. Calculate the remainder when 65 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26492899787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1.4 (c) 2552\/23 (d) 365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 61665600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 3*k + 3. Let z(c) = c**3 + c**2 - c + 1. Let s be z(-2). Let l be a(s). Sort -1, 4, l in descending order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12*-6 - -1. Suppose -p = 3*r + 10 + 2, -12 = 4*p + g*r. Suppose 3*m = 5*f - 284, p*m - 2*m = -f + 61. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14 = 28. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1089 and 10308639.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 9 = g + 15, -6 = 4*s + 5*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 24*k - 2*q - 26, 5*k - 10*k - 90 = 2*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25487 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953276?\nAnswer: 2, 67, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -451a9 (base 11) in base 5?\nAnswer: -4043314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + -4*sqrt(13) + 3))**2.\nAnswer: 128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dcc4a2 + 3?\nAnswer: dcc4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 3 + 0)*(-2 - 4 + 2)*(0 + 3 + 1)*(q**2 - 3*q**2 + q**2) to the form t*q**2 + k*q + p and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 52 = 2*q. Suppose -5*c + 5 + q = 0. Let i(m) be the third derivative of -m**4\/24 - 3*m**3\/2 + 2*m**2 - 34. Determine i(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-4)\/6). Let j(p) = p - 1. Calculate j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6)*(-205)\/(-164). Let z(a) be the second derivative of 14*a - 1\/12*a**4 + 0 + l*a**3 - 1\/4*a**2 + 1\/80*a**5. What is j in z(j) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 19460 = 11*o. Suppose -82*l = -96*l + o. What are the prime factors of l?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 47279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357 + -357.5. Sort -2\/11, -41, 0.2, k.\nAnswer: -41, k, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819039569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:41 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 5462486?\nAnswer: -5462486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-2)\/(-20)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 17*t + 21. Let w be l(-16). Suppose -w*o - 24 = -8*o. Find the third derivative of 3*s**2 + 14*s**4 + 0*s**4 + 10*s**2 - o*s**2 wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:41 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1906 + 1906.000004907. Round l to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbbb when four letters picked without replacement from bbdbbdd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001161843 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4324\/752 + (-10)\/1 - (-9 - -7)*5.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67299095609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6614 (base 12) to base 16.\nAnswer: -2bf0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1884794236.\nAnswer: -1884794236.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81377.\nAnswer: 19, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:30 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15969917771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 529 + -517. Solve 0*m = 4*m - y, -3*p - 21 = -4*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 21 = -5*l + 4*h, 0 = -3*l - 5*h. Suppose 5*w = -3*k + 5, 0*w = 5*k - l*w - 75. Is 4 a factor of ((-1)\/5 - 0) + 82\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -11. Let x = 0.02 + 2.98. Let t = -1 + x. Put t, -2\/23, o in descending order.\nAnswer: t, -2\/23, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 637 + 739. Let d = n - 120. Calculate the highest common divisor of d and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/15 + 1412*v\/15 = 0.\nAnswer: 0, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157532355 and 4815?\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 6*z - 18*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3645 - -3695. Solve z*f - 156 = 94 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 = 4. Suppose -5*t + u = -44. Calculate the remainder when (-1)\/3 + 158\/6 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235.508 - 0.508. Let r = k - 228.35. What is r rounded to 1 dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16581.7 and 1?\nAnswer: 16581.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22394 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -900761 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h - 55. Suppose -5*k + 3*k + 162 = 0. Let c = k + -88. Is r(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 85 - 17. Calculate the remainder when 31 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-2)*(-60)\/(-108). Suppose 3*o + 1 = 4, o = -5*z + 26. What is the third derivative of -4*n**2 + n**2 + n**z + n**q wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10332 (base 4) to base 9\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 220de?\nAnswer: 220d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 1, -200, -1, -20 in descending order.\nAnswer: 89, 1, -1, -20, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 12*j - 12 = 0. Calculate the least common multiple of 34 and j.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3302 - 120?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4291 is divided by 253?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1966450*a**3 - 10408*a**2 + 4*a + 1.\nAnswer: 11798700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174863 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156162*m = -156189*m + 351 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/(-16 + (-221)\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*r**6 - 13*r**3 - 255*r**2 - 2 wrt r?\nAnswer: -960*r**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8312? (a) -1 (b) -5 (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*o - 3633, -g - 6*o = -2*o + 1226. Let i = -721 - g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2260000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1610 = -u + 160. List the prime factors of u.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/40? (a) -0.68 (b) -5\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 66895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 - (-205 + 46)) + -214?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/7, 2\/5, 1, -231\/10.\nAnswer: -231\/10, -2\/7, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 233 - 607 = 0. Let v = f - 278. Solve v*s = -3*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -93572.17?\nAnswer: 93571.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Suppose 6*f - 24 = 3*f - 3*q, 5*f - 56 = -q. Suppose -78*u + 75*u = -f. What is the remainder when v is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*v = 28, v + 0 = -2*y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 51109131375.015.\nAnswer: 51109131372.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1423.27 in -4, 0.5, -5, -21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d**2. Let x(s) be the third derivative of s**5\/12 + 5*s**2. What is x(n(o))?\nAnswer: 605*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -120, -4, 3, 5, -49.\nAnswer: -135, -120, -49, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 + f + 4. Suppose 0 = 3*r - 6*r. Let s be w(r). What are the prime factors of ((-2)\/s)\/(3\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20972 is divided by 5075.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-10)*p**(5\/7)*p**(3\/2)*p*(p**3*p)\/p assuming p is positive.\nAnswer: p**(-53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 404, 415, 438, 479, 544, 639, 770, 943?\n\"Answer: t**3 + 4*t + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188979550?\nAnswer: 2, 5, 317, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 84565026 and 84565025 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1154795058*i*w**2 - 376*w**2 + 291491 wrt i.\nAnswer: 1154795058*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -14\/36709 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w**2 - 2628*w - 11368 = 0.\nAnswer: -29\/7, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*n + 130, -3*r + n - 2 = -107. Suppose -2 = 5*p - 32. Calculate the remainder when r is divided by p\/18 - (-40)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 15389 = 143717. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*p + 395*p = 2. Solve -2 = 3*q + 4, p*q = -4*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -5*y**2\/2 + 28. Let v(c) = -3*c + 5*c - 4*c. Give v(a(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.35912mg in nanograms?\nAnswer: 65359120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100523 (base 6) to base 2\nAnswer: -1111100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14675 divided by -1?\nAnswer: 14675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -964 - -935.13. Let i = m + 29. Let s = i + 3.87. Which is the nearest to 1? (a) s (b) 3\/7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = 5*w + 30, 0 = 4*w + 12. Let b be (9\/m - 6) + 46. Let a = b + -15. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -p - 0 - 2, 4*f + p + 2 = 0. Suppose 0 = -f*x - x. Let d(q) = 2*q**2 - 4*q + 3. Let w be d(2). Solve -w*b - 3 = -x*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:09 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 0, 20 = -4*k + 3*g - g. Suppose 43 = -7*z - 13. Let y = k - z. Is 2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164005476 divided by -6?\nAnswer: -27334246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:42 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 16*x + 33. Let w be r(14). Suppose 30 = 5*j - 2*s, -w*j + 2*s = -2*j - 18. Let c(b) = -b**2 + 7*b - 4. Determine c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2970*h - 218*h**3 + 2970*h)*(-3*h + 5*h + 0*h) + 26*h**4 - 25*h**4 - 16*h + 0*h to b*h + f*h**2 + n*h**4 + l + v*h**3 and give n.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 956*w - 20929. What is i(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {f: 13, q: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -9 (c) 5 (d) -723 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 5051600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*r + 9 = 0, -22 = -2*l - 2*r + 4*r. Solve l = -o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5047 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/24)\/(4\/(-6))*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/74 and 1\/31?\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4690855049.\nAnswer: 4690855049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 8:38 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/15 + 4*f**3\/15 + 18*f**2\/5 - 72*f\/5 + 72\/5 = 0 for f.\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 41.\nAnswer: -5, 13, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1 - (2 - 1)). Let z(s) = -15*s**2 - s - 6. Let x(c) = 44*c**2 + 3*c + 17. Let f(m) = 6*x(m) + 17*z(m). What is f(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -240, -226, -230, -258, -316, -410?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14833272 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 37 = -38*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2 (c) -1\/194 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -11*x**3\/3 + 3. Suppose -8*p = 22 - 62. Let l(a) = -p*a + 5*a + 0*a + 3*a. Give f(l(n)).\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8318, 8316, 8312, 8306, 8298?\nAnswer: 8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16*s + 823. Calculate y(-50).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*l - 5 = 0, -3*w + 2*l - 35 = -31 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 377 = -79*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327844 = -10188*u + 139228 for u.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -9. Let g = 11 + n. What is the remainder when 41 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w - 2*w + 0*w. Let q = 3272 + -3270. Let m(l) be the first derivative of l**2 - 2. Determine q*u(j) + 3*m(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4 - 5 + 0 - o. Let a(v) = -8*v - 4. Let d(y) = a(y) - 6*f(y). Differentiate d(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4562 - -0.2562. What is the smallest value in 82, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:58 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-2\/17)*h))\/h)\/h*h**(-4))\/(h**(4\/25)\/(h*h*h**(-8))) assuming h is positive.\nAnswer: h**(-5118\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 747*g - g**2 - 349 - 747*g to a*g**2 + o + c*g and give o.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20075.\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d. Solve 3*i = -3 - d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -j + 13, -4*c = 5*j - 9*c - 85. Let z be (-2)\/(18\/j - 20\/16). Solve f + 5*p + 0 = 9, -4*p = 3*f - z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 743?\nAnswer: 3715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7810 - -7817. Solve -3*s - 4*i = 13 + b, 3*i + 15 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -7*u + 126. Suppose u = -2*v - 6. Let y(k) = k**2 + 8*k - 28. Let s be y(v). Solve 0 = 4*l - 4 + s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u - 206. Let j be r(-19). Solve -j = -0*g - 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 8*f**2 + 9*f + 4. Let j be d(-9). Solve 12 = j*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -g - 7, -669*u + 665*u + 36 = -12*g for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-14)*(-1)\/4. Let w = 153 - 150.66. Let y = w - 2.84. Which is the nearest to q? (a) -2\/3 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 * 5\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535690 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i + 1. Let o(j) = j - 1. Let b(a) = -3*o(a) - v(a). Suppose -69 + 15 = -3*f. Let x = f + -18. What is b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 27*w - 373. Let v be p(14). Suppose v*r - 2*j + 6 + 2 = 0, 2*j = 8. Let 0*f + 4\/7*f**2 - 6\/7*f**3 + r = 0. Calculate f.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 930103453 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 16888 - 17005 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3394167 is divided by 7315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) -0.3 (c) 0.84 (d) 8853\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46499792 a multiple of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 161\/3, -7\/6, -0.9929, 4, 1\/6 in increasing order.\nAnswer: -7\/6, -0.9929, 1\/6, 4, 161\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i\/((i*i\/(i**(3\/7)\/i))\/i*i)*i\/(i\/(i*i*i**(15\/4)\/i)) assuming i is positive.\nAnswer: i**(145\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4923975.\nAnswer: 3, 5, 7, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6) - (-4)\/6. Let o be ((13 - 5)\/(-4))\/((-3)\/6). Suppose g = 3*p + o + 5, g + 15 = -5*p. Solve -j + g*j - b = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-12)\/(-144)*-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -63. Let k(y) = -16 + 2*y - 3*y - 2*y. Let p be k(-14). What is the highest common factor of p and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273940068593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6*v = 180. Let s = v + 18. Sort s, 0.2, -0.4 in decreasing order.\nAnswer: 0.2, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (409933\/(-5))\/(14\/(-350)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (3 + sqrt(19))**2 + sqrt(19) + sqrt(76)\/sqrt(4) + 2).\nAnswer: -48*sqrt(19) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 738*g**2 + 5*g. Let x(y) = 2 + 315*y**2 + 5 - 316*y**2 - 7. Determine m(x(c)).\nAnswer: 738*c**4 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/98 and 89\/1764.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1435 + 1?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -40. Suppose 3*p + q = -4*b + 6*p, 0 = -4*b + 4*p - 24. Let c be 3 - 2 - 2\/b. Solve d = 3*d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 234\/57 + 6\/(-57). Suppose 5*r - 7*r + 3*f = -16, 4*r + d*f = -8. Factor -1 - 1\/4*x**r + 5\/4*x.\nAnswer: -(x - 4)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1670.04496 rounded to the nearest 10?\nAnswer: -1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 194232*g**3*x - 1062069*g**3 - 4*g**2*x**2 wrt x.\nAnswer: 194232*g**3 - 8*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*v = -203*v - 13398 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 32 = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - z + 89. Determine u(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a + 1439. Let l = 65 + -22. Calculate the remainder when l is divided by p(110).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Let v be m(4). Solve -v*b = 2*f - 7*f - 7, 0 = -5*b + 5*f + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -25) + (-3 - 0 - -18) + -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1\/4, 1\/8 in decreasing order.\nAnswer: 2, 1\/8, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13169 - 13169 - 49392*r**3.\nAnswer: -49392*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2 + 0 + 4 + 5*2*sqrt(108)*-1)**2.\nAnswer: -384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 110, 308, 688, 1310, 2234?\n\"Answer: 10*a**3 + a**2 + 3*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11761 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -2)*14\/21. Let c = q + 3. Find the third derivative of 5 - c - m**2 + 2*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 2, q: 12}. What is prob of picking 1 q and 2 d?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 366, 1461, 3284, 5835, 9114?\n\"Answer: 364*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 8. Suppose -3 = -o*s + 3. Let k(r) = -r**3 + 7*r**2 - 5*r - 2. Let y be k(s). Solve 5*g + y = -6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by (-1)\/(-4) + -4 + 715\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 4*p = -20, 4*v - 5*p = 21. Suppose -15*g + 552 = 477. Suppose 0 = -v*f + g*f - 20. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 71 = 73. Suppose h = 4*a + 3, -d*h - 2*h + 2*a = -54. Find the second derivative of 11*c + h*c + 28*c**2 - 365 + 365 wrt c.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64040072 divided by 3.\nAnswer: 64040072\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5344478*y**3 - 18981859*y wrt y.\nAnswer: 32066868*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -24601.8.\nAnswer: 24601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 + 6*q + 7. Let f be x(7). Suppose f*i + 4*i = 20. Suppose i*y - 396 = -c, 4*y - 162 = 3*c - 1255. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 1. Suppose 0 = -4*n - 4, n - 3 = -3*y + y. Let q be r(y). Let v = q + 19. Solve -3*x - 5*l = -4, 0 = 2*x - 4*l - 0*l - v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14934*r*u**3 - 3*r*u**2 - 1877935*r + 22*u**5 - u wrt u?\nAnswer: -89604*r*u - 6*r + 440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -117735 divided by 15?\nAnswer: -7849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let i be k(-3). Let x = 2 - i. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -0.1, -3\/5, -5, -1\/16 in increasing order.\nAnswer: -5, -3\/5, -0.1, -1\/16, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = -51*s - 183. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030606579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.1.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-72)*16\/4)\/((-28)\/(-42))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 445706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9 + 0*s - 3*s + 7 + s**2 - 2*s. Let y be a(6). Is y - (-32 - 0 - -2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 5*z + 37, 0*z = -d + z - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -19. Suppose -2*t - 142 = -2*s - 2*s, -35 = -s + t. Calculate the smallest common multiple of s and a.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 17*t - 23. Calculate g(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (2 - (-433)\/(-216)). Let h = -17\/216 + r. Let c = h + -7\/27. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m + m**2 - m + 3 + 9. Calculate the remainder when j(-9) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 98644 = 63063. Is y 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 (1*4385)\/(57 + -56)?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 593\/2 - 295. What is the biggest value in n, 2, 1\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283139 + 123*k + 283139.\nAnswer: 123*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 781 - 6530*t**2 - t - 21*t - 706 wrt t.\nAnswer: -13060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(114) - 2*sqrt(114))\/sqrt(6))**2)*-2 + -2.\nAnswer: -2*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-10) + (-11)\/110 - 220\/(-28)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c = 15 + 80 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284725 is divided by 5693.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-50715)\/(-840))\/(3\/(-2)))\/(21\/(-36))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(175))**2)*3.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 1. Let t be z(-1). Suppose q = -4*q - 20, -2*y + 5*q + 30 = t. Let b(v) = -y*v + 4*v + 2*v - 3*v. Let j(k) = -13*k. Calculate b(j(g)).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5)*(36329 - 36329 + 578*q)*(3 - 3 - 1)*(-2*q + q + 0*q) + 0*q**2 - q**2 - 2*q**2 to the form i*q + a*q**2 + d and give a.\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*l**4 + 17*l**3 - 14*l**4 - 6*l**4 - 13*l**4 - 15*l**4 - 149*l**2 wrt l?\nAnswer: 72*l + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-49 + (-16850)\/(-350))*14\/(-8). Which is the nearest to -0.1? (a) -6\/7 (b) -0.5 (c) 2\/9 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75180 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*h = 3*v - 3, 4*h = -2*v + 4. Which is smaller: v or 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 502 - -202?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/18 - 16*k**3\/9 - 21*k**2 + 27*k - 7. Factor j(n).\nAnswer: -2*(n + 7)*(n + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/9, -4, 3\/2, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 296826 and 11262?\nAnswer: 557142402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/100 and 53\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -13118 - 6330. What is the smallest common multiple of s and 364?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*w - w, -5*c + 5*w = 15. Calculate the remainder when 1 - (22\/c + -6) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -60*z**3 + 129*z**2 - 904*z. Differentiate r(n) wrt n.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*x = 12, 5*a + 3*x = -0*a + 30. Suppose -3*p + 4*p + 9 = 2*m, 4*m = a*p + 17. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:29 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -16. Suppose c*k - 10 = -5*q - k, -25 = -5*q - 4*k. Solve -2*v + 7 = -q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 21 = -2*a, 2*a - 12 = a - 2*i. Is 19 a factor of (-2)\/a*(3 + -75 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -822, -839, -866, -903, -950, -1007, -1074?\n\"Answer: -5*d**2 - 2*d - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/56*((-6 - 0) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81429082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -7029 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*r + 1023 = 0, 18*j - 14*j + 5*r = 4114. Is 1029 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3924121428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbsbsqqbsssb. Give prob of sequence sqs.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23902 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/(-10))\/(228*(-92)\/(-26220)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -207*q**2 - q**3 + q + 0*q + 206*q**2 - 1. Let j(s) = 10*s**3 + 6*s**2 - 6*s + 7. What is j(p) + 6*t(p)?\nAnswer: 4*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(((-12)\/(-12))\/18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 10 + -8 + (2 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x + 9. Let u be l(-2). Let i(m) = m**2 - 18*m + 25. Let h be i(u). What is the second derivative of -18 + 8*c**3 + 5*c + h + 10 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.17752 milligrams in nanograms?\nAnswer: 85177520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 2*a - a)*(-a**3 + 0 + 0) + 3741*a**2 + 1761*a**4 - 1054*a**2 - 1759*a**4 in the form k*a**3 + y*a + n + b*a**2 + l*a**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*n + 163, 2*n - 21 = -5*o + 272. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1460 - 763. What is the highest common factor of 119 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4502*y - 13573*y + 876*y + 1 - y**2.\nAnswer: -y**2 - 17199*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-72) + (-52)\/(-9). Let k be 1835\/d - (-2)\/12. Suppose -4*s + 305 = 3*h, -7 = -4*s + 5*h + k. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 3)*(4 - 2 - 1)*(r + 4*r + 2*r) + 2 - 2*r - 2 in the form v + y*r and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 - 81*f**2 - 55*f - 78. What is the ten thousands digit of j(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*(2 - -1). Let x(q) = 0*q**2 + 987 - 988 + q**2. What is x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1109*q - 1195*q + 2047*q.\nAnswer: -257*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*p - 188*p + 19 = -59. Let y = -25 - -14. Let r = 6 + y. Which is the smallest value? (a) 2\/11 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 20. Let z = 3.4 + -3.1. Which is the third smallest value? (a) z (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 782*p + 817. Is k(54) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*b**3 + 78*b**2 - 728*b**3 + 41*b**3 - 25*b**2 - 141*b**3 wrt b?\nAnswer: -5286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7051\/282 + 8\/47. Calculate the common denominator of u and -31\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982098.1ml to litres.\nAnswer: 982.0981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101 and 10.6438969255.\nAnswer: -90.3561030745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*b + 25 = 43, -4*b - 9 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 150\/(-100)*(4\/(-3))\/1. Let c(w) = -w**3 - w**2 - w - 1. Let j(k) = -8*k**3 - 9*k**2 - 9*k - 9. Suppose -42 = 5*q + 48. What is q*c(m) + t*j(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -b?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**4\/12 + b**2. Let j be ((-4)\/10)\/(1\/5). Let u be i(j). Solve -3*a = -t + 12, -u*t + 2*t - 16 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 260. Suppose 5*q - 247 = g. Suppose 6*a = 203 - q. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7881665 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21 - (-1)\/(1\/(-1)) and 168\/44*(-12)\/36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 + 2*t**2 + 10 - 2*t**2 + 3*t**2 with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -170, -705, -1598, -2849, -4458, -6425, -8750?\n\"Answer: -179*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 37*h**5\/2 - 2177*h**4\/2 - 7170*h**3 - 15416*h**2 - 11936*h - 1560 = 0.\nAnswer: -2, -6\/37, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.19, -161, -35 in descending order.\nAnswer: -1.19, -35, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, 1 f, and 1 d when four letters picked without replacement from dyqfyyyyyjfdydqpypfy.\nAnswer: 27\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose -2*v + 124 = 4*s, -s + h*v - v = -30. Suppose s = 5*o - 18. Solve -5*r = -3*w - 4*r + o, 2*r = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2553 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1854 + 1867.064. Let g = t - 13. Round g to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14518869, 29037753, 43556637, 58075521, 72594405?\nAnswer: 87113289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -32*o**3 - 2*o**2 + 1. Let d be -1 + (-12)\/(96\/(-760)). Let y = -163 + 70. Let k = d + y. Calculate n(k).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = l, -4*t = -2*l - 0*t + 6. Let o be l + 4\/8*6. Calculate the greatest common factor of o and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26083, -47362, -68641?\nAnswer: -89920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.20251 * -39\nAnswer: 7.89789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1*-2)\/(3264\/192).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.95 + 67507446.\nAnswer: 67507451.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p - 1\/17*p**2 + 2\/51*p**3 - 10. Determine k, given that o(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*3*3*(-2*sqrt(1053) + -5 - (sqrt(1053) + 0 + -5)))**2.\nAnswer: -7776*sqrt(13) + 12282208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = -288. Let g be ((-2423608)\/(-64120))\/(y\/10). Let z = g - 1\/4809. What is the common denominator of z and -47\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1) + (1 - 768\/(-4)). Suppose 6*a - v = 602. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11893 - 3962 + 1442*y**2 + 6*y - 3962 - 3969 to the form x*y + c + v*y**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from {q: 10, e: 1, r: 1, v: 3, m: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 831480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(1\/8)\/c))**13)**19 assuming c is positive.\nAnswer: c**(5681\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156393 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24394855 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = -0*k - k, -2 = -2*l - 4*k. Let n = l - -5. Let s = -8 + 21. What is the smallest common multiple of n and s?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - v + 5. Let j(t) = 2*t**2 + t - 10. Let l(i) = 4*j(i) + 7*u(i). Calculate l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -16, -24?\n\"Answer: -8*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 287 = 2*w, 270*w = 272*w - n - 289. Which is smaller: w or 179?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-180)*-3*-3)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2447563*y**3 - 2447578*y**3 + 4895173*y**3 - 11*y.\nAnswer: 32*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:29 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 + 3 - 3*d + 2. Let s be ((-2)\/4)\/(237\/(-30) - -8). Let x be a(s). Calculate the greatest common divisor of x and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5078 + 4951 - 10029 - 9*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c345 - 1?\nAnswer: 2c344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 3}. What is prob of sequence bf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17510763 a multiple of 1783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -32*d + 103. Let a(m) = -3. Let p(b) = 4*a(b) - q(b). Is 7 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -104?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 7*q**2 - 14*q + 84. Calculate a(-8).\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**2 + 80*g - 269. Let v be p(-16). Let k(s) = -4*s**3 - 10*s**2 - 7. Let q(f) = f**3 - f**2 + 1. Let x(w) = -k(w) - 3*q(w). Determine x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 + 2*a**4 - 5 + 2*a + 14*a**3 - 2*a**2 - 10*a**3 to z*a + g*a**3 + j + h*a**2 + f*a**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -347, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -52. Let n = o + -21. Sort -5, n, 1 in decreasing order.\nAnswer: 1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2720)\/(-400)*(-10)\/(-51))\/(1\/(-27)*22)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -21502.\nAnswer: 2\/10751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48146 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2297288*n**3 - 2979728.\nAnswer: 6891864*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 329.21.\nAnswer: -658.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74528 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*m + m + 7 = 0, 4*s = -5*m + 15. Let v = 9 - s. Suppose -2*g + 11 = -0*g - r, 0 = -3*g - v*r. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536485?\nAnswer: 5, 41, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 6*l - 1014. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bb6 (base 15) to base 12\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 134*w**2 + 3 - 128*w**2 - 4.\nAnswer: -262*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -752*f + 250*f + 248*f + 255*f. Let y(d) = 155*d**2 + 45. Let j(h) = -7*h**2 - 2. Let m(i) = 45*j(i) + 2*y(i). Determine m(a(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -18069?\nAnswer: -1806c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9818631203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-4))\/(30\/80). Let c be 6\/(-1*(-3)\/r). Solve 0 = -7*s + 3*s - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from mzzzzmlzzlkzz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323010 a multiple of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjccpcpgpcpgpj. What is prob of picking 1 g and 1 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*t + 12, -28*q + 29*q - 4 = 7*t. Solve 0 = -5*o - 15, 9*y - 7 = q*y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/5, 1\/6, 0.013?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 151, 1135, 3801, 8989, 17539, 30291?\n\"Answer: 140*y**3 + y**2 + y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 - 647*w**3\/3 + 418609*w**2\/2 - 31*w - 7. What is j in v(j) = 0?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 - w**2 - 24*w**3 - 55 + 25*w**3)*(16 - 2 - 1).\nAnswer: 13*w**3 - 13*w**2 - 1729","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 91*u - 11544. Determine o(127).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1260)\/(-40)*(430\/(-70) + 5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 3*s - 1. Let t be h(-2). Suppose 3*d + 7 = 5*g, d + t = -3*g + 8. Solve g*l - 5*f - 6 + 18 = 0, 5*l - f - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24347599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-2607.\nAnswer: -1824.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37398 - 37397.9. Put 362, 1\/5, 1, c in decreasing order.\nAnswer: 362, 1, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 2.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 2*g - 5 - 2*g**3 + 10 + 2*g**4 + 2 as f + z*g + t*g**4 + i*g**3 + v*g**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 20. Suppose -4*r + i = -d + 2, 0 = 3*d - 3*r - 9. Let t(n) = 3*n + 19. Let b(k) = 2*k + 10. Let s(p) = -7*b(p) + 4*t(p). What is s(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*m + 128, 2*x - 4*m = 7*x - 250. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a5 + -30?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*w = -w + 20, -4*r - 2*w + 110 = 0. Let p be 13496 + (6 + -9)*4\/6. Calculate the remainder when p\/(-52)*1\/((-6)\/4) is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - -1 - (25 + -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -12*k**4 - 328534*k**3\/3 - 751503518*k**2\/3 - 2975079982*k + 3225690678 = 0.\nAnswer: -4557, -233\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -995 < -993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k**2 - 3*k + 16. What are the prime factors of w(5)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26276*y - 26284*y + 81 + 14 to u + b*y and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7614 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k**2 + 1. Suppose 43*i - 52*i = 27. Let a(t) = -4*t**3 + 6*t**2 - 3. Give i*v(o) - a(o).\nAnswer: o**3 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 317 + 2. Let l = 115 + 77. Let z = r - l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxn when four letters picked without replacement from {e: 2, x: 4, k: 4, n: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97719\/101164 - 6\/3613. Calculate the common denominator of n and 5\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y - 16. Suppose y*u - 88 = -u. What is the greatest common divisor of u and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2. Let x(b) = 4*b**3 + 15*b**2 + 16*b - 15. Let y(i) = 3*h(i) + x(i). Let s be y(-17). Solve -2*n + 1 - 9 = -s*q, -4*q + 21 = n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (10\/8)\/((-21)\/28).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 10)*120\/(-200). Let k be -11*(-22)\/363 - 377996\/y. Round k to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**9\/252 + d**8\/14 + d**6\/120 - 19*d**5\/60 - 9*d**4\/8 - d**3\/3 + 3226*d**2. What is the third derivative of q(p) wrt p?\nAnswer: 240*p**3 + 1440*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(0 - (-20)\/16). Which is the third biggest value? (a) -0.2 (b) -4\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -94. Let o = 30.1 + n. Let f = -1 + 1. Which is the nearest to f? (a) -1 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-1)\/((-2)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 less than 74335?\nAnswer: 74336.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let r = 5.8 + 23.2. Let g = 28.8 - r. Which is the nearest to n? (a) -2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57262895 to the power of 1\/2, to the nearest integer?\nAnswer: 7567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -41458.3+-37592.671\nAnswer: -79050.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.44592 + -0.42889. Round k to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d - 12*d - 13*d + 45*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*i*o**3*w**2 - 1250*i*o**2 + 12*o**3 + 50*o**2*w**3 wrt w.\nAnswer: -260*i*o**3*w + 150*o**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/3*(-90)\/60. Let b(y) = -18*y + 25. Calculate the remainder when b(p) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**3 - 13*s**3 + 14*s**3)*(14 - 7 - 9)*(0 + 1 - 2).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33199*i - 33233*i + 272 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19375\/4 - 4731. Let p = r + -225\/2. Find h, given that p*h**2 + 0 + h = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*(-4)\/(-3). Suppose 0 = 5*t + 2*o - 82 - 81, 0 = -k*t + o + 67. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61757860.99659 - -61758262. Let m = x - 401. What is m rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d - 82. Let f be m(15). Solve 10 + 30 = -f*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u + 83. What are the prime factors of j(7)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 5) in base 16?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2\/(-9) - 36\/(-108)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (44 - 43)\/(2\/(-22066)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 526617 and 4121?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -6432393.\nAnswer: -6432393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 10415042?\nAnswer: -10415045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.1 (c) 4 (d) 7211\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 + j - 1. Let v = -10 + 11. Let o be p(v). What is the units digit of (-54)\/(-12)*20\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 3. Let c be m(-7). Suppose 2*d - 28 = 4*a + a, c = 5*d + 4*a. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 22 - (-7 - (-12 - (-13 + 7)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) -5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 97*l**2 + 1 - 3 + 1 + l. Let s(p) = -p**2 + 39*p - 73. Let u be s(37). Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-32))\/((-4)\/38*33\/66)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -181506*q**2. Let p(z) = z**2. Calculate n(p(y)).\nAnswer: -181506*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2894?\nAnswer: -1\/2894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -28 (c) -1\/13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*r + 2, 18 = 20*r - 2*f - 74 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 65*b**2 - 15*b. Let i(x) = x. Determine i(z(g)).\nAnswer: 65*g**2 - 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1598 + 1598. What is the smallest value in 64, p, 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 2, 2*p = 9*g - 6*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1857537, -3715074, -5572611?\nAnswer: -7430148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -20, -35, -54, -77, -104, -135?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*f, -4*f + 163 = b + 166 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 0*o**3 - o**3 + o**3 + 0*o**3 - 2*o**3 + (3*o**2 + 3 - 3)*(-12*o - 10*o + 6*o).\nAnswer: -50*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1363582935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 110399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001 (base 2) to base 5.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 221, 333, 445, 557?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9508*d**4 - 48*d**2 - 9506*d**4 + 8*d**3 + 59*d**2 + 6*d to s*d + o*d**2 + i*d**3 + k + w*d**4 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 46*m**2 + 256*m + 53. Is b(40) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -173, -246, -341, -464, -621, -818, -1061?\n\"Answer: -l**3 - 2*l**2 - 44*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 9*u - 18. What is the units digit of o(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1829*u - 23752. What is h(-13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttfttttdttdddtdt. What is prob of sequence dtdd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6543 or -6556?\nAnswer: -6543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000152544 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from bwqwkabt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + d + 6 = 0, -33*b + 9 = -36*b - 2*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -63512\nAnswer: -15\/15878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -16*o - 1. Let j be w(-1). Suppose 0 = -b - 2*b + 3*r + j, 4 = -4*b - 4*r. Solve -2*k = b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w + 2*w - 6*w)*(-2*w - w + 0*w) + 0*w**2 + 2*w**2 - 3*w**2)*(-3*w - 4*w + 6*w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 1999100*i**2 + 199820040500*i.\nAnswer: 5*i*(i - 199910)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29*f - 41*f - 2*f**2 - 13 + f**2. Let o be u(-9). Is o greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 22556?\nAnswer: 22578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let u = 4 + m. Let i = 0 + u. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = 5*p + 46. What are the prime factors of p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123, 943, 3011, 6915, 13243?\n\"Answer: 98*z**3 + 36*z**2 + 26*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-11 - (15 + -16)) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18593570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(156) + sqrt(156) + sqrt(156)) - (sqrt(156) - sqrt(156)*-2)*5)\/((sqrt(300) - sqrt(12))*4 + 1*sqrt(24)\/sqrt(2) + sqrt(12)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (sqrt(24)\/(sqrt(128)*-1 - sqrt(8)) - ((sqrt(243) - (2 + sqrt(243)))**2 + sqrt(243))*-4).\nAnswer: 15 + 179*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/48*(-2048)\/(-2304)\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -1 - -5) + (3 - 0) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -555 - -934. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(30\/(-14))\/(1104\/1932).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1376 and 136.\nAnswer: 23392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*r = -8*t - 26, -3*t = -3*r + 18. Let h be ((-8)\/(-6))\/(t\/12). Let y(l) = -l**3 - 2*l**2 + 3*l - 3. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125 or 442563?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100111 (base 2) in base 11?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5035 = 5*p + 4*r, -p - 7*r = -4*r - 996. Suppose n = v - p, -5*n - 6538 = -4*v - 2498. What are the prime factors of v?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.6 times 3\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 221111210 (base 3) in base 15?\nAnswer: 579c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d - 2. Let l be a(2). Let c = -8 + l. Let u be (1 - c) + 2 + -3. Calculate the highest common factor of u and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 88, -4 in decreasing order.\nAnswer: 88, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 382 - 69 - 4623*b - 158 - 155 in the form l*b + y and give l.\nAnswer: -4623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 1006*f\/3 + 30520.\nAnswer: -(f - 84)*(f + 1090)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 times -0.8?\nAnswer: -998.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -304 - -2?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1 (b) 2\/17 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 - 2*g + 2. Let d be k(0). Solve 4*h - 28 = -4*y, -d*y + 9 = y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.82649 and 0.5?\nAnswer: -0.413245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18723176 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i + 1. Let y(k) = -2*k**2 - 3. Suppose -5*n - 3 = 2. Let s(f) = f**2 + 1. Give i*s(q) + n*y(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1036 and 335072.\nAnswer: 2345504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/7, 2956968.\nAnswer: -3\/7, 2, 2956968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 2\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2 (b) 178 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82.46 and -24?\nAnswer: -1979.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3697 - 1290255\/349. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9185457 divided by 1\nAnswer: -9185457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45a + 0?\nAnswer: -45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -4.01. Which is the third biggest value? (a) y (b) 12 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c + 2. Let a be d(-6). Let q = 1 - 1. Put a, -3, q in increasing order.\nAnswer: -3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from ddohd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 556\/75679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-28)\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - 0.7. Let l = 0.2 - -5.8. Let u = l + -8. Put 3, z, u in ascending order.\nAnswer: u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 84. Let o(j) = 12*j. Determine o(d(q)).\nAnswer: -24*q - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 11367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2670, -2676, -2692, -2724, -2778, -2860?\nAnswer: -2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(-3\/10)*(q**(-2\/5))**(-45)*(q\/(q\/q**(1\/7)))\/(q*q**(-2\/7)*q)*q**(-2\/13)*q**(-3\/7) assuming q is positive.\nAnswer: q**(1069\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.1 + -21.4. Let p = -10 + 13. Let y = p + -7. What is the smallest value in y, f, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 269230?\nAnswer: 2\/134615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1189 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 + 2*i + 1. Let f be y(-1). Let j(q) = 3*q - 4. Let b be j(2). Solve -f*g = -b - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-15)\/84) + -1. Suppose -t = -3*w + 2*w + 6, -5*t - a = -2*w. Let p be (-6)\/(-16)*(-4)\/w. What is the biggest value in p, -2\/9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 105*d - 794. Calculate j(-44).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -28.814.\nAnswer: 14.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1216\/(-136) - -8)\/(2\/((-12)\/(-915))) and 26\/915?\nAnswer: 15555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - (2 + (-2 + 0 - 2)). Let w(o) = -7*o**3 + 10*o**2 - 8*o - 18. Let g(l) = 13*l**3 - 20*l**2 + 16*l + 35. Let c(t) = m*w(t) + 6*g(t). Give c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/49447 + 4895393\/692258. Find the common denominator of (-10)\/4*(-58)\/40 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6996 and 65879.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2524.999994418 - 2525. What is v rounded to seven dps?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 271. Suppose -2*c - 24 = -5*i, -c - 1 - 11 = -3*i. Does 34 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:13 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 6*n - 2*n**2 + 6*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -485938785356161 - -5.\nAnswer: -485938785356156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/66500*-214 + 6\/14.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 4. Let i be y(5). Let n(g) = 6 - 4 - 4 - 56*g + 1. What is the remainder when n(i) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 6 = n - h + 10 - 22, 4*h = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5059017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17*q**2 - 5*q - 7. Let v(j) = -j**3 - 4*j**2 - 6*j - 7. Let d be v(-2). What are the prime factors of c(d)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 69. Let b(k) = -k**2 + 3*k + 19. Determine b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/348000*-40)\/(-2*(-2)\/10)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -2\/319, -6, 0.5?\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008455 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 9*p**2 - 18*p + 10. What is the least common multiple of c(-10) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -61, -87, -113, -139, -165?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 10 - 12 - (-12 + 0 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 5*v + 8, 0 = -3*d + 27998*v - 27996*v - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 19 = 2*w, -3*w + y = 2*y + 1. Let m(t) = -2*t**2 + 3*t + 4. Let b be m(3). Let g = b - -6. Put -5, g, w in descending order.\nAnswer: g, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 45\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.1. Let s be (245\/(-75) - -4) + (-2)\/5. Sort 2\/7, -4\/11, v, s in ascending order.\nAnswer: -4\/11, v, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h + 7122 = 4*z + 24*h, 6*z + 5*h - 10658 = 0. What is the remainder when z is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -87, 136, 459, 888?\nAnswer: 1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Suppose -5*m = -5*x - 40, 3*m - z*x - 34 = 2*x. What is the second derivative of -3*d**5 + 9*d**m - 4*d**3 - 5*d**3 - 5*d wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118317 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1786100, 3572201, 5358302?\n\"Answer: 1786101*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50095, -100121, -150151, -200191, -250247?\n\"Answer: -n**3 + 4*n**2 - 50031*n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 + 8828*y**3 + 52906*y**2 + 44080*y = 0.\nAnswer: -4408, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -762*l**2 + 5345*l - 2. What is k(7)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f**(-1\/3))\/(f*f**4*f**(1\/11)))**(7\/2) assuming f is positive.\nAnswer: f**(133\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -25. Let q = r - -9. Let z be (-70)\/16 - (-6)\/q. Sort z, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 35 = 2*i + 94, 5*i + j = -324. Let s be -29*(4\/(-5) + 13\/i). What is the second derivative of 77*x**3 - 25*x - 27*x**3 + 8*x - s*x**3 wrt x?\nAnswer: 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let a be 3\/(-2)*(-16)\/l. Let o = a - 12. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Is 41344603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p - 20 = -a - 104*p, 5*a - 2*p - 49 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -579 - -1044. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 102*z + 919. Let m be y(-9). Sort -3, m, -40 in ascending order.\nAnswer: -40, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*r + 11225 = 75*r + 737*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87 - -58) + 28)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 15*j**2 - 8*j + 32. Let a be m(14). Let s = -122 + a. Let o(k) = k**3 + 6*k**2 - 2*k - 9. Calculate o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0331 times 0.4\nAnswer: 0.01324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -322, -484, -646, -808?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 397, 1160, 2785, 5560?\nAnswer: 9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103173 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3199a9 (base 12) to base 3\nAnswer: 1110211201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + z - 6, -2*q - 10 = -4*q - 3*z. Let l be (-46)\/(-6) - (-1)\/3. Suppose 2*n + q = -4*r - 2*n, -r = -n - l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17744, 35531, 53330, 71141, 88964?\n\"Answer: 6*x**2 + 17769*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 52*f + 34482 = -54*f, 4*f = 4. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176560*a - 176557*a - 4*t - 1, 0 = -t + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 50. What is the common denominator of (y\/(-55))\/((-9)\/(-135)) and 11\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 11. What is the third biggest value in i, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-274)\/6 + (-15)\/(-9). Let y = n - -46. Calculate the smallest common multiple of 7 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c + 41. Suppose 65 = 13*r - 18*r. What are the prime factors of u(r)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*327\/9 - -4. Let r = 568\/5 - p. Which is the nearest to -0.1? (a) 0.05 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 21*x**5 + 2*x**2 + 8*x. Let c(l) = -22*l**5 - 3*l**2 - 7*l. Let y(i) = -3*a(i) - 2*c(i). What is the second derivative of y(w) wrt w?\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 11 - (8 + 7 - -7)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5194 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f + 4*f + 6*f)*(0*f - f + 3*f) - 5*f**2 + 3*f**2 + 0*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 203503280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-4*-3)**2 + (sqrt(264)\/sqrt(8) + sqrt(33))\/sqrt(11) - (sqrt(252)\/(sqrt(14)\/sqrt(2)))\/(sqrt(1728) - -2*sqrt(1728)).\nAnswer: 71*sqrt(3)\/36 + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -76*c**4 + 2*c**3 - 2*c**2 - 3*c - 10. Let w(u) = -u**3 + u**2 + u - 1. Let k(m) = -q(m) - 2*w(m). Find the second derivative of k(z) wrt z.\nAnswer: 912*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12 and -780507.\nAnswer: -780507.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287243371 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) -8\/5 (c) 2\/7 (d) -1\/113 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 11:52 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495*t - 16 = -499*t. Solve 123*g - 21 = 118*g + t*y, 0 = -4*y + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85.12 in -0.5, -1, -0.1, 3, 2.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:54 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 6*h**2 - 3*h + 2. Let x be j(-6). Let r = 9 - x. Let z(i) = 5 - 42*i + 46*i + 1. Let d(s) = -7*s - 11. What is r*z(l) - 6*d(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, b: 1, c: 1}. What is prob of picking 1 e and 1 b?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 2\/13, -1\/5, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009289113 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -56, -113, -180, -251?\n\"Answer: p**3 - 14*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -16.\nAnswer: -16, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Let t = -249323 - -10970673\/44. Let o = t + -74\/11. Which is bigger: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 + y - 2. Let l(t) = -t**3 - 16*t**2 + 14*t - 16. Let f be l(-17). Suppose 7*a = -f - 0. What is n(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22005 + 1707 = 19*w. Is 54 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, f: 4}. Give prob of picking 2 t.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = 4*u - 2*h, 0 = 2*h - 4. Suppose -3*i + 12*i - 54 = u. Let d(l) = -l**2 + 8*l - 2. Let f be d(i). Is f greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 1102*d - 1107*d - 4*f, 3*d = -0*d + 3*f + 20 - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 46. Let j = h - -11. Which is the third biggest value? (a) -1\/4 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 529873 and 4369?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 819*u - 12084. Determine q(15).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8945*c + 3783754. Determine y(423).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-67)\/(12663\/126))\/(1\/(405\/3))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291846080*h**4 + 532570487.\nAnswer: 1167384320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 1. Let k = -2 - l. Let b be ((-1)\/3)\/(k\/2). Is 1 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let c(f) = f**3 - 1. Let b(v) = v**3 - 5*v - 2. Let u(k) = -b(k) + 2*c(k). Let o(r) be the second derivative of u(r). Calculate s(o(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-4.98\nAnswer: -4.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 104430411 (base 7) to base 15\nAnswer: 84998c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/29118 and -145\/29118?\nAnswer: 29118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 2*o**4 + 9*o**4 + (o**3 - 2 + 2)*(0 + 0 + o).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -17.3, -1\/211, 347 in decreasing order.\nAnswer: 347, -1\/211, -17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905807820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + 3*t)*(218*t - 600 + 287 + 314) to the form u*t**2 + f*t + l and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -25*j**3 + 2*j**2 + 3*j - 4. Let k be v(1). Let i be (-160)\/k*30\/25. Solve -c + i = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(2\/((-16)\/12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:47 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 8*y**8\/21 - y**6\/60 - 19*y**5\/60 + 1049*y**4\/3 - 43*y**2 - 9. Find the second derivative of s(d) wrt d.\nAnswer: 2560*d**3 - 12*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:31 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in 2, -0.1, -1\/5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272108957*d + 272108957*d + 38*d**2.\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4626, -8855, -13084, -17313, -21542?\nAnswer: -25771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 - 51*n**4 - 11891*n**3 - 46977*n**2 - 58490*n - 23352 = 0. What is n?\nAnswer: -84, -2, -1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17650*p**2 + 3 - 3 + 17645*p**2 - 35298*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8949.782ml to litres.\nAnswer: 8.949782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 407143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g - 30. Give p(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -z - c, 6*z - 41*c = 12*z - 44*c + 57 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -12 (c) -5 (d) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.3 - -39. Let b = 0.3 - 0.6. What is the closest to b in 3, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2304 - 2191 + 4495 + 11*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328.87 rounded to the nearest ten?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47984?\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1579, 3226, 4903, 6604, 8323, 10054?\n\"Answer: -i**3 + 21*i**2 + 1591*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) + 2*sqrt(378))*-1 - sqrt(378))\/(sqrt(48)\/sqrt(128)))\/(5*sqrt(36)\/(sqrt(48)\/(sqrt(12)*-2))).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 3*g)*(266 - 266 + 50*g) + (-2*g - 4*g + 5*g)*(0*g - 3*g + g) - g**2 - 4*g**2 + 4*g**2.\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5763377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*h - 3. Let r = -15 + 12. Is -10*r*h\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*y + 4*y - d, -25 = -5*y - d. Let m = 5 - y. Is m at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 0.51. Let i = 2.07 + -0.07. What is the second smallest value in -4, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 28, -4, -0.522, -2.29 in ascending order.\nAnswer: -4, -2.29, -0.522, -0.5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 greater than or equal to 537\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -375*m + 1805. Give g(5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 30 (c) 2\/33 (d) 2\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + 3*n + 6*n)*(-5*n**2 + 0*n**2 + 2*n**4 + 6 + n**2).\nAnswer: 38*n**5 - 76*n**3 + 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 + -57. Suppose 0 = -4*i - 12, z + 2*i - s = -z. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 36. Let y(m) be the second derivative of m**4\/12 + 6689*m. Give y(x(i)).\nAnswer: 9*i**2 + 216*i + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3493\/1184 - -97\/32. Which is the fourth smallest value? (a) -0.1 (b) 10 (c) -1\/5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 2, q: 5, l: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99361 and 117157.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 43. What is the highest common factor of r and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 9*p**2 + 11*p - 8. Let n be i(10). Suppose d + 0*d - 19 = 0. Let l = d + -7. Solve o - l = -n*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369274363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161*b*x**3 + 331*b*x**2 - 22*b*x + b - 2*x**3 - 3*x**2 + 155*x + 94 wrt x?\nAnswer: 966*b*x + 662*b - 12*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94356 - -94532. Calculate the remainder when j is divided by -1 + 62 - (-3 - -2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -55*w + 112. Let u be x(2). Sort 5, -4, 3, u in decreasing order.\nAnswer: 5, 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffj. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 22 + 0 - (0 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 - 38*i + 15*i + 12*i + 14*i. Suppose 4*z + 5*a = 23, 0 = z - a - 2 - 6. Let n be 18\/12 + z\/(-2). Calculate j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/132555 - -1617203\/2120880. Find the common denominator of v and 101\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 - ((1 - 4) + 7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3\/4, -4, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -125441 to the nearest 1000.\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*p = -3 + 16, -2*v + 4*p - 2 = 0. Let z(k) = k**2 + 7*k + 4. Let f be z(v). Let i(j) = -4 + f + j. Let r(d) = -2*d**2. Determine i(r(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 587, 1966, 4655, 9092, 15715, 24962, 37271?\nAnswer: 53080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10692 + 10689. Let k(c) = -2*c + 4 - 4. Let g(q) = -4*q. What is h*g(t) + 7*k(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 69 + 21 + 22*v + 68 - 2. Let y be t(-7). Solve -12 = -k - y*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82800?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26265 and 46659.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 222 = d, -3*d + 6 = 0. Let i = -7 + 10. Suppose i*p - 3 = 0, -5*f + p = -144 - 405. What is the highest common divisor of f and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 43, 54, 55, 40, 3, -62, -161?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 129\/6233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -172147 bigger than -172149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7 (base 16) to base 4.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25588 and 819756359?\nAnswer: 6397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 703, 706, 711, 718, 727?\n\"Answer: k**2 + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1. Let u = 36 + -35. Let v(b) = -2*b - 4. Determine u*v(w) + y(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 168*x + 39448 - 185776. Solve 863 = 8*a + x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43728, -87455, -131182, -174909, -218636?\n\"Answer: -43727*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - 3*k + 3*k + (3*k + 4*k - 5*k)*(6*k**2 - 3*k**2 - k**2) - 2*k**3 + 3 - 3 + 872*k**3 + 41*k - 43*k + 2*k.\nAnswer: 873*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 16*q**4 + q**3\/3 - 6. Let x be f(1). Let i = 144 - x. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*g - i + 14, 0 = -3*i + 15. Is g > -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135, -117, -65, 39, 213, 475, 843, 1335?\n\"Answer: 3*l**3 - l**2 - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -4*r + y + 32 = 0, -5 = g*r + 5*y - 37. Calculate the greatest common divisor of 24 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 627*h + 10293. Calculate v(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**3\/9 + 172*g**2\/3 + 14792*g\/3 - 307. Let y(c) = 0. What is c?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 6 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 773433 = -1096623. What are the prime factors of y?\nAnswer: 2, 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12033 + -1013?\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 895 divide 506917404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 3*d + 2*d**3 + 5*d**3 - 2*d**3 - d**3 + (0*d**2 - 4*d**2 + 3*d**2)*(-12*d + d + d) in the form o*d**2 + i*d**3 + t + a*d and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 + 512*t - 54. Let z be u(-57). Calculate the highest common factor of z and 358.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53 - 2521111?\nAnswer: -2521036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -115*d**2 + 17. Suppose 46*a - 27*a = 95. Let c(f) = 230*f**2 - 32. Let n(y) = a*q(y) + 2*c(y). What is the derivative of n(u) wrt u?\nAnswer: -230*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 19 = l, 2*l = -4*z - 17 + 71. Let i = 32 - l. Suppose -y = 2*s - 40, -4*y + i*y - 212 = 2*s. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4663370 divided by -5.\nAnswer: 932674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13173 is divided by 511?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let n(i) = 4*i + 4. Let h(w) = w**2 - 4. Let v be h(0). Suppose -2*f - 4*u = 3*f + 1, 3 = 3*u. Determine f*n(a) + v*g(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 2, -803, -2, 5.\nAnswer: -803, -2, 0, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(75) + sqrt(75) + -5 + -3 + sqrt(75)) + 6*(sqrt(75) + sqrt(75) + sqrt(75)*-2 + 1).\nAnswer: -19 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**3 + 41*u**3 + 15*u**3 + 0*u**3.\nAnswer: 89*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 5. Suppose 0 = a*k - 17 - 46. Find the first derivative of 4 + k*b - 21*b + 2*b**2 wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 124, 105, 68, 7?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1008*c - 849*c - 2544 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/126)\/((-15)\/135)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*b - 189. Suppose -x + b = -5. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-112)\/70)\/(4\/10). Which is the third smallest value? (a) -0.02 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t - 2. Suppose -t*s = 4 - 28. Find the common denominator of -61\/16 and 2*s\/(-40) + 354\/(-160).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2582\/3 (b) 0.054 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = u + 2*o, 5*u - 5 = -4*o. Let b(d) = -d**2 - 7*d - 3. Let m be b(-6). Suppose -m*v + u = -5. Solve v = c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 42, 86, 158, 264, 410, 602?\n\"Answer: k**3 + 5*k**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -126536 and 805769968.\nAnswer: 805643432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*y**3\/3 - 25723*y**2\/3 + 3026*y\/3.\nAnswer: y*(y - 1513)*(17*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*y**3 - 226 + 239*y**3 + 292*y**3 + 72.\nAnswer: 6*y**3 - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(3\/11)*h)\/h**(-1\/8))\/((h\/h**4)\/h*h\/h**(2\/7)) assuming h is positive.\nAnswer: h**(3781\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 79530518?\nAnswer: -79530513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:35 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 3. Let a(n) = -14*n - 9. Suppose 0 = -3*d + d + 10. Suppose -d*t = g - 15, 2*t + g = -g - 2. Determine t*a(x) + 11*k(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4005 + 440 + 4*u**2 + 2211.\nAnswer: -u**2 + 6656","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 98 = 26. Let m = -2 + j. Suppose 6 = -2*f + m. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480698484.\nAnswer: 2, 3, 7, 83, 68947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t - 28. Let a be k(-4). Solve 0 = a*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4527 and 892800.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*q = -240, 4*q + 60 = -0*w + w. Calculate the highest common factor of w and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140*v + 137*v + 1 - 9)*(11*v - 217 + 217) in the form r*v + s*v**2 + k and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -20. Let l(r) = 4 + 0*r - 5*r + 3*r**2 - 3*r**2 - r**o. Let g be l(-5). Solve 0 = -t + z, -t - 4*z - 1 = -g*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 7*a**2 + 7*a - 1. Let h be s(6). Let d(p) = h*p + 3 - 3*p + 2*p**2 + 2*p. Let w(n) = -n**3 + n**2 + 52*n - 103. Let x be w(2). Determine d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00192966367 to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11791823381 from 0.08.\nAnswer: -11791823380.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4277 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 93*b + 50. Let c be l(18). Let r be 2\/(-3) - 2\/6. What is the third smallest value in 4, r, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2541168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12*(-2300)\/(-15))\/((-22)\/331925). Round o to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-569 - 543*j + 569)*(-3*j + 6*j - 2*j + 5*j - 3*j - 4*j + (3 - 2 - 3)*(1 - 1 + 2*j) - 3*j + 5*j + 0*j).\nAnswer: 1629*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0, 5\/19, -8\/13, -0.4, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195514591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230030 - -20?\nAnswer: -230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/27 and ((-20)\/30)\/(-2 - (-10)\/4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 205 - 204 = 4*j, -j = -3*m + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1066*s - 3. Let v be j(1). What is v rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83344.35 tonnes in micrograms?\nAnswer: 83344350000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Let t be s(-1). Solve -3*w = t - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0\/6)\/(9 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j + 67*j**3 + 17*j - 2 - 5519*j**3 - 20*j + 10 - j**2 wrt j.\nAnswer: -32712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4676, -3326, -1976, -626, 724, 2074?\nAnswer: 3424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/((-1)\/3). Let r(j) = -j + 5. Let o be r(3). Suppose o*g + y = 5. Solve g*s - 2*q = -8, 5*s + 4*q = 3*q - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -14 (b) -1 (c) -99.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3106346, 3106349, 3106354, 3106361, 3106370, 3106381, 3106394?\n\"Answer: n**2 + 3106345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80900 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 16) to base 4.\nAnswer: -11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 19 = w - 36, -17*o + 22*o + 1 = w - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 10972943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 - 3*k - 8. Determine o(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 4, y: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 - -270. Suppose 3*g - 3*i - 153 = p, 4*i = g + 6*i - 63. What is the least common multiple of 10 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.1 + 37. Let o = -2 - r. Suppose 0 = 5*m - 3*h - 3, 4*h - 1 = -5. Which is the nearest to o? (a) -2\/11 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.91 + -0.71. Let f = -47\/153 - -9\/17. Which is the biggest value? (a) x (b) f (c) -4 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31589 rounded to 2 dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -180*j**2 - 21. Let z(r) = -r**2. Determine z(a(x)).\nAnswer: -32400*x**4 - 7560*x**2 - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 68*o - 118. Let c be y(-15). Let r(f) = -2*f**2 - 9*f + 5. Calculate r(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*m + 3 - 3)*(0*m**3 - 3*m**3 + 0*m**3) + (-m**4 - 2*m**4 + 5*m**4)*(-1 - 10 - 3).\nAnswer: 134*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 95232?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/(-456) + 20592\/(-38). Let o = -516 - c. Calculate the remainder when 50 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*s + 3)*(-11 + 0 - 5) + 1 + s - 1 + 0*s - 2*s + 3*s + (0*s + 2*s + 0*s)*(1 + 2 - 1) as f*s + l and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a76a - 2?\nAnswer: 1a768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0*r**4 - 1\/2*r**3 + 0*r**6 + 0*r**2 + 0*r**5 - 5*r + 2\/21*r**7 + 0. What is the second derivative of c(k) wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) + -1 + -2)**2 + -2 + (4 + sqrt(80) - sqrt(80)))*-3 + 5.\nAnswer: -268 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13370126?\nAnswer: 2, 7, 11, 17, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*f - 80*f - 114*f - 25950 = 6910 for f.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17570 - 17495 + 28*z**2 + 35065.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 10*x - 76 = -i - i + 139, 345 = -15*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.0981 minus -793149861?\nAnswer: 793149925.0981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54069.\nAnswer: 3, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -115*r - 6220. Give t(-54).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 385 = 353. Suppose 0 = c*k - 3*d - 82378, -5*k = 37*d - 40*d - 102971. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 715 - 710. Suppose -f = a, 2*a - 164 = -5*k - 54. What is the greatest common factor of 768 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*h, 3*h = 2*m + 8*h - 9. Is (m - (-1 - -2))*79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -37, -72, -121, -184, -261?\n\"Answer: -7*a**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at least 4226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191497220.3 + 191709531.29997. Let o = t + -212318. Let w = o + 7. Round w to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, w: 3, a: 2}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*n + 8240 = 0, 9*k - 3*n - 8265 = 6*k. What is the highest common factor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1067 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/24)\/(6\/(-16)). Suppose 0 = 3*m - 4 - f. Let z(q) = 2*q**2 - 4*q**2 - 4*q**m. Let g(w) = -2*w. Give g(z(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 2*o, -2*n + 29 = 3*o - 2*o. Let l(q) = q**2 + 26*q - 68. Let k be l(-28). Is (2*-237)\/(k\/n) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b**(-4\/5)*b))\/b)\/b*b*b)\/b**(2\/17)*(b*b\/(b**(-19)\/b*b)*b)\/(b\/((b*b*b*(b*b\/(b*(b**(-2\/11)\/b*b)\/b*b)*b)\/b*b*b*b*b)\/b*b)) assuming b is positive.\nAnswer: b**(28858\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v. Let l be d(6). Let q = l + -7. Suppose 3*a + c = 1, 0*a + 5 = q*a + 5*c. Solve 3*w - w = a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -5.7.\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 72. Let y = 377 + -416.4. Let i = x + y. Which is the second smallest value? (a) 0.3 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 23*d - 24 = 0. Let o be -23*(0\/d - 2). Suppose o*l = 47*l - 53. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.026.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/2727 and -1\/2424.\nAnswer: 21816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -39*h + 37*h - 34, -4*i - 56 = 3*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 12*a - 184 = 0. Suppose -304 = -8*i - a*i. Suppose -23 = -w + 6. Calculate the remainder when w is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Is 3 a factor of l*(-26)\/10*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6 - (-4 - -9) - 17)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 10, 5, 2 in decreasing order.\nAnswer: 10, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160936.\nAnswer: 2, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let g(p) = 26*p + 9*p - p**2 - 20*p. What is g(f(x))?\nAnswer: -x**4 - 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88\/357 + 2\/51. Is i less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -55*a + 3 + 112*a - 60*a. Give u(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-30)*-2 + (-1436)\/(-10). Let -141*l**4 - 1209*l**4 + 3960*l**3 - 1312*l**2 - 16*l - 6750*l**5 + n*l = 0. Calculate l.\nAnswer: -1, 0, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.04 (c) 5 (d) -0.1 (e) 0 (f) 10 (g) 3.93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*a - 288*a + 465 + 295 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -842464.2873358 + -2.\nAnswer: -842466.2873358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5 (c) 0.25 (d) -494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41850 and 11932650?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**2 + 63*k + 31. Calculate v(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59122.6 decades in centuries?\nAnswer: 5912.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 29909757 to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j - 8. Give u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 107 - 140 = 0. Let s(l) = -2*l**3 - 35*l**2 + 55*l + 4. Calculate the lowest common multiple of 9 and s(m).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -51. What is the tens digit of (m + 12)*(-75 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16380185.\nAnswer: 5, 19, 172423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3065 - -5909. What is the greatest common factor of n and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -13, 2, 101, 3 in descending order.\nAnswer: 101, 5, 3, 2, 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2647437239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 - 2*y**3\/3 - 5*y**2\/2 - 4*y + 88. Calculate q(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.126720808 rounded to two dps?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10101101101101?\nAnswer: 10101101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60014 and 2246470.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -a35a0?\nAnswer: a359a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 1348, 3636, 7544, 13480, 21852, 33068?\nAnswer: 47536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-3\/5)*l)\/l**5*(l**(-1))**(-3\/28) assuming l is positive.\nAnswer: l**(-349\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-10) - -6 - -8. Let t = -12 - -93. Let u = j + t. Calculate the remainder when u is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14206 greater than -14254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95530684.3 - 95530782.2999997. Let t = 98 + g. Round t to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -8.83, -0.5 in descending order.\nAnswer: 4, -0.5, -4, -8.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175213, 700863, 1576947, 2803465, 4380417, 6307803?\nAnswer: 8585623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3424543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -88829962 divided by -6\nAnswer: 44414981\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -1) + (-11 + 18 - 16 - -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19158247.\nAnswer: 3271, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1010*c. Let x(w) = -w**2 - 6. What is m(x(j))?\nAnswer: -1010*j**2 - 6060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -762268? (a) -0.5 (b) -4 (c) 1 (d) -0.3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1147953 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 29*j**2 + 98*j - 60. Let z be a(32). Factor 31*x**4 + 162*x + 88*x**3 + 1530 - 4090 - 62*x**z - 672*x**2 + 27*x**4 + 2014*x.\nAnswer: -4*(x - 10)*(x - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6470)\/(-647))\/(150\/(-8))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 8593?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57.926 - -58. Let p = k + -0.0740114. Round p to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -680*y**2 + 350*y**2 - 4*y - 526*y**3 + 525*y**3 - 528*y**2 - 403*y**2 to the form f*y**3 + o*y + r*y**2 + t and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41593, 6, -5.\nAnswer: -5, 6, 41593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 1029\/26?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**5 + 2204*h**4 - 122296*h**3 + 1334160*h**2 + 3175200*h = 0.\nAnswer: -2, 0, 18, 45, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 67532, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/5, -20830808, -5 in ascending order.\nAnswer: -20830808, -5, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 648 = 10*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17297629?\nAnswer: 17297629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 - 16*f**2 - 1455*f\/7.\nAnswer: -f*(f + 15)*(f + 97)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/2 - 1899*c\/2 - 381024 = 0. Calculate c.\nAnswer: -1323, -576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552*c**2 - 277*c**2 - 261*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9649824 + -0.1.\nAnswer: -9649824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175))**2 - (1 + sqrt(448)) - (sqrt(84) - (sqrt(84)*-1 - sqrt(84))*4)\/(sqrt(120)\/(sqrt(10) + sqrt(10) + sqrt(10)*-1)).\nAnswer: -7*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6826708, -13653403, -20480098, -27306793, -34133488, -40960183?\n\"Answer: -6826695*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2460 divide 69598320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {w: 1, r: 1, c: 4, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**4\/24 - p**3\/3 + p**2. Let d be o(-2). Solve d = -5*h - 4*v - 16, -2*h + v = -2*v + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from drjdvjknv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65971*-0.4.\nAnswer: -26388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {r: 2, o: 4, c: 1, v: 1, w: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 3:26 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65400221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12353 + -168546252?\nAnswer: -168558605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*w - 4420991 + 4477476 = 0 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 4*p - 3. Let c be d(3). Let b be 26\/8 - c\/12. Solve a = b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*o + 5, -3*o = 4*c + 3 + 6. Let b(l) = l**3 + 8*l**2 + 3*l - 6. Calculate the smallest common multiple of 22 and b(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 8 (b) -0.3 (c) 0.223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}